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PRACTICAL LESSONS 



IN 



ACTUARIAL SCIENCE 



AN ELEMENTARY TEXT-BOOK 



SECOND EDITION 
REVISED 



CONTAINING ALSO QUESTIONS AND EXAMPLES 



Volume II. Tables. 



BY 

MILES MENANDER DAWSON 

'Member Actuarial Society of America, Fellow Institute of Actuaries of Great Britain, Member 
Deutschen Verein fiir V'ersicherungs-WiMenschaft, etc., etc. 

Author of " Elements or Lipb iNsutAWCB,'* ** Assbssmbmt Lipb Insurancb/' btc. 



k 



93jt? 



THE SPECTATOR COMPANY 

ns WILLIAM STREET 



NEW YORK 
1905 



THE NEW YORK] 

PUBLIC LIBRARY 

\> « -^ \ > i.v J 

ASTOR, LENOX AND 
TILDEN FOUNOATIONti 

R 1906 L 



COPVRir.HTHD. 1898 AND I905. 
BY THK SPECTATOR COMPANY 



• • • t • 



• • •• • 



,. . .._ : 






# • 



• ■ ■ 



« • 



m 
• • • 



VOLUME II. 



TABLES. 



TABLE er G0NTENTS. 

V01.UME II. 

Page 

American Experience Table. 

Introduction 5 

Mortality Table 7 

Commutation Columns, 4^/2 Per Cent 8 

Commutation Columns, 4 Per Cent 10 

Commutation Columns, zVi Per Cent 12 

Commutation Columns, 3 Per Cent 14 

Valuation Columns, y/t and 3 Per Cent 16 

American Experience Table, Makehamized. 

Introduction IQ- 

Mortality Table 21 

Commutation Column, One Life, 3V2 Per Cent 22 

Commutation Columns, Two Lives. 35^ Per Cent 24 

Commutation Columns, One Life, 3 Per Cent 26 

Commutation Columns, Two Lives, 3 Per Cent 28 

Force of Mortality and Uniform "eniority 30 

American Experience Table, Select and Ultimate. 

Introduction 31 

Mortality Table, I Columns 32 

Mortality Table, d Columns 33 

Mortality Table, p Columns 34 

Mortality Table, q Columns 35 

Commutation Columns, 3,^ and 3 Per Cent 36 

Actu.\ries' Combined Experience or 17 Offices' Table. 

Introduction 47 

Mortality Table 49 

Commutation Columns, 4 Per Cent 50 

Commutation Columns, 35^ Per Cent 52 

Commutation Columns, 3 Per Cent 54 

Valuation Columns, 4, 3^ and 3 Per Cent 56 

Twenty British Offices' Tables. 

Introduction 59 

H" Table (Woolhouse's Formula) . . 60 

Commutation Columns, 45/3 Per Cent 62 

Commutation Columns, 4 Per Cent 64 

Commutation Columns, 3^ Per Cent 66 

Commutation Columns, 3 Per Cent 68 

H" Table (Makeham's Formula) 70 

Commutation Columns, 4I/2 Per Cent 72 

Commutation Columns, 4 Per Cent 74 

Commutation Columns, yA Per Cent 76 

Coxxunutation Columns, 3 Per Cent. ;» 78 



2 Tabll uf Contexts. 

Page 

Joint Life Annuities, 41/2 Per Cent 80 

Joint Life Annuities, 4 Per Cent 81 

Joint Life Annuities, 3J<4 Per Cent 82 

Joint Life Annuities, 3 Per Cent 83 

Force of Mortality 84 

H- Cs) Table 85 

Commutation Columns, 4 Per Cent 80 

Commutation Columns. 3J^ Per Cent 88 

Commutation Columns. 3 Per Cent 90 

H- Table 92 

Commutation Columns, 41/2 Per Cent 94 

Commutation Columns, 4 Per Cent 96 

Commutation Columns. 3^ Per Cent 98 

Commutation Columns. 3 Per Cent 100 

Sprague*s Select Life Tables 

Introduction 103 

Mortality Table, 1 Columns 104 

Mortality Table, d Columns 106 

Mortality Table, p Columns 108 

Mortality Table, q Columns 1 10 

Commutation Columns. 4 Per Cent 112 

Commutation Columns, y/* Per Cent 122 

Commutation Columns, 3 Per Cent 132 

Craig*s Impaired Life Table. (Modified .\ctu aries. ) 

Introduction 143 

Mortality Table 145 

Commutation Columns, 4 Per Cent 146 

N'OSTHAMPTON TaBLE. 

Introduction I49 

Mortality Table 151 

Commutation Columns. 4 Per Cent 152 

Commutation Column^. 3 Per Cent 156 

Commutation Columns. 5 Per Cent 158 

Annuities at Various Rates 15Q 

Jomt Life /annuities. 6. 5 and 4 Per Cent lOo 

Carlisle Table. 

Introduction 17' 

Mortality Table 17.^ 

Commutation Columns. 4 Per Cent 174 

Commutation Columns, y j Per Cent 17M 

Commutation Columns, 3 Per Cent 17S 

Farr's Fnv;i.!.<h Life Tables, No. 3 

Intnuluction i^i 

Mortality Table, Males 183 

Commutation Columns. 5 Per Cent 184 

Commutation Columns, 4 Per Cent i8(^ 

Commutation Columns, 3 Per Cent i^V 

Mortality Tabic. Females loi 

Commutation Columns, 4 Per Cent 102 

Cf^mmutat'on Columns, 3 Per Cent 104 



Table of Contents. 3 

Page 
T^'enty-Three German Offices' Table. 

Introduction 197 

Mortality Table igp 

Commutation Columns, 4 Per Cent 200 

Commutation Columns, 3J/2 Per Cent 202 

Commutation Columns, 3 Per Cent 204 

French Actuaries* Tables. 

Introduction 207 

Mortality Table, Insured Lives 209 

Commutation Columns, 4 Per Cent 210 

Commutation Columns, 3^ Per Cent 212 

Commutation Columns, 3 Per Cent 214 

Mortality Table. Annuitants 217 

Commutation Columns, 4 Per Cent 218 

Commutation Columns, sV^ Per Cent 220 

Commutation Columns, 3 Per Cent 122 

American Tropical Table. 

Introduction 225 

Mortality Table 227 

Commutation Columns, 4 Per Cent 228 

Commutation Columns, 3J/2 Per Cent 230 

Commutation Columns, 3 Per Cent 232 

Commutation Columns, Two Lives, 4 Per Cent 23d 

Force of Mortality 236 

National Fraternal Congress Table. 

Introduction 237 

Mortality Tabic 239 

Commutation Columns, 4 Per Cent 240 

Commutation Columns, 3^ Per Cent 242 

Commutation Columns, 3 Per Cent 244 

Des Parcieux Table. 

Introduction 247 

Mortality Table 248 

Commutation Columns, 4 Per Cent 249 

DuviLLARD Table. 

Introduction 251 

Mortality Tabic 252 

Commutation Columns, 4 Per Cent 254 

Scandin.wian Companies* Table.s. 

Introduction 255 

Mortality Table, Males 256 

Mortality Tables, Female? 257 

Company Tables. 

Introduction 259 

Australian Mutual Provident Society 260 

Canada Life 261 

Canada Life, Select 262 

Gotha Select 266 

Catholic Benevolent Legion, Select 270 

A. O. U. W. (5) 274 



Table of Contents. 

Page 



Population Tables. 



Introduction 2' 



Milne's Swedish, Males 276 

Milne's Swedish, Females 277 

New Zealand, Males 278 

New Zealand, Females 280 

Belgian, Males and Females 281 

British Government Sickness Tables. 

Introduction 283 

Corresponding Mortality Values. 4 Per Cent 285 

Net Single Premiums. Sickness, 4 Per Cent 286 

Corresponding Mortality Values, 3J^ Per Cent 2()i 

Net Single Premiums, Sickness, 35/^ Per Cent 292 

Corresponding Mortality Values, 3 Per Cent 207 

Net Single Premiums, Sickness, 3 Per Cent 298 

Conversion Tables. 

Introduction 303 

Single Premiums 304 

Annual Premiums 306 

Farr's Healthy Males Table. 

Introduction 30^; 

Mortality Table 311 

Comparison q, 3 1 j 

Commutation Columns, 4 per ci.'nt 313 

McClixtock's Annuitants Tadi.es. 

Introduction 3 ' .7 

Mortality Table. Males ^\<> 

Mortality Tabic, Females .U^< 

Males. Commutation Columns, 3^'j per cent 320 

Females. Commutation Columns, y/2 per cent ^^l 

Joint Males, Commutation Coliunns, 31,^. per cent 3-- 

Joint Females, Commutation Columns, 3 '2 per cent ^2^^ 

Joint Male and Female, Commutation Columns. 3' _, per cent. 3J4 

Joint Lives, Additions to Age 3-5 



AMERICAN EXPERIENCE MORTALITY TABLE. 

INTRODUCTION. 

This table is an adaptation of the Seventeen Offices ot 
Actuaries' Table to the early experience of the Mutual 
Life Insurance Company of New York, assuming age 
ninety-five instead of loo as the final or extreme limit of 
life. 

It was adopted by the State of New York as its legal 
standard, interest being taken at four and one-half per 
cent, and this was followed by its adoption in several other 
States. When New York changed its interest assumption 
to four per cent, it also changed to the Actuaries' Table, 
but now to the American Experience Table and 3>4 per cent. 

The American Experience Table is, however, largely 
employed by New York companies in their calculations, 
and notably in more recent departures, such as three per 
cent and three and one-half per cent reserves. 

For permission to use the three per cent tables in this 
series we are indebted to the Connecticut Mutual Life 
Insurance Company, which computed them and has copy- 
righted them. For assistance in supplying other tables 
thanks are due John Tatlock, Jr., assistant actuary of the 
Mutual Life Insurance Company of New York. The 
tables, American Experience ^yi per cent, are taken by 
permission from tables with 20 places of decimals, published 
by W. S. Smith, actuary of the John Hancock Mutual Life 
Insurance Company. The valuation columns, 3 per cent 
and 3)^ per cent, are taken from '* Various Derived 
Tables." These columns, as printed in the former edition 
of this book, were found to be too inexact for use in com- 
putations. 

The American Experience Table is regarded a safe ulti- 
mate table by American actuaries. 



American Experience Table. 



Table I. 
AMERICAN EXPERIENCE TABLE OF MORTALITY. 



V 

u 

< 



10 
11 
M 

18 
14 

16 
16 
17 
18 
19 

SO 
21 
88 
88 
84 

86 

86 
87 
88 
89 

SO 
81 
88 
88 
84 

86 
86 
87 
88 
89 

40 
41 
48 
48 
44 

46 

46 
47 
48 

49 

60 
61 
68 



Number 


Num- 
ber 
Dying. 


Living. 


lOO.OOO 


749 


99.251 


746 


98.505 


743 


97.762 


740 


97.082 


737 


96285 


735 


94.818 


732 


729 


94089 


727 


93362 


725 


92.637 


723 


91.914 


722 


91.192 


721 


90.471 


720 


89.751 


719 


80,032 


718 


88.314 


718 


87.596 


718 


86878 


718 


86.160 


719 


85.441 


720 


84.721 


721 


84.000 


723 


83277 


726 


82.551 


729 


81.822 


732 


81.090 


737 


80.353 


742 


79.611 


749 


78,862 


756 


78.106 


765 


76.567 


774 
785 


75.78a 


797 


74.985 


812 


74.173 


828 


73.345 


848 


72.497 


870 


71.627 


896 


70.731 


927 


69804 


962 


68,842 


1,001 


67.841 


1.044 



Yearly 
Proba- 
bility of 
Dying. 



007490 
007516 

007S43 
007569 

007596 

007634 
007661 
007688 
007727 
007765 



Yearly 
Proba- 
bility of 
Living. 



007805 

007855 : 

007906 
007958 
00801 1 

008065 
oo8i'\b 
008197 
008264 
008345 

038427 
oo8>io 
008607 
008718 
008831 

008946 
009089 
009234 
009408 
009586 

009794 
oioocS 
010252 
010517 
0108^ 

01 I 163 
01 1562 
012000 
012509 
013106 

01 378 I 
01454 I 
015389 



992510 

992484 
99^457 
993421 
992404 

992366 

992339 
992312 

992273 
992235 

992195 

992145 
99204 

992042 

991939 

9^1935 
991870 
9;i8o3 
991736 
991651; 

991573 
991490 

99»393 
991282 

991169 

991054 
990911 
990766 

990592 
990414 

990206 

989992 
989748 

9*^9483 
989171 

988837 

988438 
988000 

987491 
980894 

.986219 

985459 
.984611 



V 



68 
64 
66 
66 
67 

68 
69 
60 
61 
68 

63 
64 
66 
66 
67 

68 
69 
70 
71 
78 

78 
74 
75 
76 
77 

78 
79 
80 
81 
88 

88 

84 
86 
86 
87 

88 

89 
90 
91 
98 

93 
94 
96 



Num- 


Num- 


ber 


ber 


Living. 


Dying. 


66.797 


1,091 


65.706 


1.143 


64.563 


1,199 


63.364 


1,260 


62,104 


1.325 


60,779 


1.394 


59.385 


1.46"* 


57.917 


1.546 


56.371 


1.628 


54.743 


I.713 


53.030 


1.800 


5 '.230 


1.889 


49341 


1.980 


47.361 


2.070 


45.291 


2,158 


43.133 


2,243 


4C'.S90 


2,321 


3a.S69 


2.391 


30.178 


a.448 


33.730 


3.487 


31.243 


2.50^ 


28738 


a.501 


26.237 


2.470 


23.761 


2,431 


21.330 


3,369 


18.061 


2,291 


16,670 


2.196 


14474 


2,091 


".383 


1.964 


10.419 


1,816 


8.603 


1.648 


6955 


1,470 


5.485 


1.292 


4.193 


1,114 


3.079 


933 


2,146 


744 


1,402 


55'? 


385 
246 


216 


137 


79 


58 


21 


18 


3 


3 



Yearly 
Proba- 
bility of 
Dying. 



•016333 
.017396 
.oi«57i 
.019885 
.021335 

.022936 
.O84720 
.c 26693 
.02S88o ! 
.031292 

.033943 
.036873 . 
.040129 . 

.043707 
.047647 1 



.052002 
,050762 
.061993 ; 
.067605 

.0/3733 

.080178 
.037028 

.094371 i 

.102311 
.111064 

.120827 

.131734 

.i444r>o 
.158605 
.174297 j 

.191561 

.211359 i 
•235552 

.265681 I 

.303020 , 

.346692 
.305863 

.454545 
.532406 

.634259 

•734177 
857143 

I.OOOOOO 



Yearly 

Pr.»ba- 

bility of 

Living. 



.983667 
.982604 
.081429 
.980115 
.978665 

.977064 
.975380 

.973307 
.971120 

.968708 

.966057 
.963127 

.959871 
•956293 

•952353 

.947998 
.943238 
.938007 

.932335 
.926207 

.91982a 
.91297a 
.905629 
.897689 
.888936 

.879173 
.868266 

.855534 
•841395 
•825703 

•808^39 
.788641 

.764448 

734319 
.696980 

.653308 
•604137 

•545455 
.467534 
.365741 

.265823 

.142857 
.000000 



8 



American Experience Table. 



Table II. 

COMMUTATION COLUMNS. AMERICAN EXPERIENCE. 
FOUR AND ONE-HALF PER CENT. 



Age. 


D. 


N. 


C. 


M. 


R. 


10 


64.39277 


I.149.751.32 


461.5329 


12.109.051 


322.708.cw 
310.598.98 


11 


61,158.34 
58,08484 


1.088,592 98 


439.8892 


11.647.519 


IS 


1,030.508.14 


419-2538 


11.207.629 


298.951.46 


IS 


5^.164.32 


975.343.82 


399-5799 


10,788.375 


287.743.83 


14 


52,389.25 


922.954.57 


3808230 


10.388.796 


276.955.46 


16 


49.752.43 


873.202.15 


363.4350 


10 007 973 


266.566.66 


16 


47 246 54 


825.955.60 


346.3651 


9.644-538 


256.558.69 


17 


44.865.64 


781,089.96 


330.0915 


9.298.173 


246.914.15 


18 


42.603.53 


738.486.43 


315.0104 


8.968.081 


237.615.98 


19 


40.453 92 


698.032.51 


300.6161 


8.653 071 


228,647.90 


SO 


38.411 27 


659.621.24 


286.8773 


8.3'^2.455 


219.994.83 


SI 


36.470.32 


623,15092 


274.1440 


8.065.577 


211.642.37 


ss 


34.62568 


588.525.23 
555.652 58 


261.9754 


7.791.433 


203.576.79 


ss 


32.872 65 


250.3465 


7.529458 


1^5.785-36 


S4 


31.a06.73 


524.445.85 


239 2333 


7.279. 1" 


188.255.90 


S6 


29,623.67 


494.P22.i3 


228.6130 


7.039 878 


180,976.79 


S6 


28,119.40 


466,702.78 


218.7684 


6.811.265 


173.936.91 


S7 


26.689.75 


440,013.04 


209.3478 


6.592.497 


167,12565 


SB 


25.331.08 


414.681.96 


200.3328 


6.383.149 


160.533.15 


S9 


24.03993 


390,642.02 


191.9730 


6,182.816 


154.150.00 


SO 


22.812.75 


367,829.28 


183 9617 


5,990.843 


147 967 19 


SI 


21.646.42 


346.182.86 


176.2844 


5,806.881 


141 97634 


SS 


20.537.99 


325 644 86 


16Q.1612 


5.630 597 


136.109.46 


ss 


19.484.42 


306.160.44 


162.5484 


5,461.436 


130.53887 


S4 


18,482 83 


287.677.61 


156.1915 


5.298.887 


125.077.43 


S6 


17.530.73 


270.146.89 


150.0806 


5.142.696 


110,778.54 


S6 


16.62573 1 


253.521.15 


144.5988 


4.992.615 


114.635.85 


S7 


15.765.20 


237.755.96 


139.3108 


4,848 016 


109.643 23 


SS 


14,947.00 


222.808.96 


134.5695 


4.708 706 


104.79c. 22 


S9 


14,168.78 


208.640.18 


129.9781 

1 


4.574.136 


100.086.51 


40 


13.428.66 


195. 211. 51 


125 8617 , 


4.444.158 


95.512.375 


41 


12.724.53 


182.486 98 


121.8588 ' 


4.318.296 


91.068.217 


4S 


12.054.73 


170.432.25 


118.2685 1 


4.196438 


86.749.920 


48 


11.417.36 


159.014 90 


"49057 


4,078.169 


82.553 483 


44 


10.810.79 


148.204.10 


112.0271 


3.963.263 


78.475-314 


45 


10,233.23 


137.970.87 


109.3153 


3.8^1.236 


74.512.050 


46 


9,683.250 ' 


128.287.62 


107.1347 


3.741921 


70.660.8r4 


47 


9. 159- 133 


119. 128.49 


105.1810 


3.634 786 


66.918 893 


4S 


8.659.542 


110,468.95 


103.6597 


3.529605 1 


63.284.107 


49 


8,182981 1 


102.285.96 


102.6278 


3.425.9»6 


59.754502 


60 


7,727 976 


94.557992 


101.9164 


3.323318 


56.328 556 


61 


7.293.276 


87.264.715 


101.4815 


3.221.401 


53.005.239 


62 


6.877.730 


80.386 985 


101.2831 


3.119920 


49.783837 


68 


6,480 277 


73 906 705 


z 01. 2850 


3.018.637 


46.663.918 


64 


6.099937 


67.806.768 


IOI.5I3I 


2.917 352 


43.645 281 



American Experience Table. 



Age. 


D. 


N. 


c. 


U> 


R. 


M 

N 


KU:S 

4,731.609 
4,424005 


63.071.053 
s6.684.a5B 
51.631.936 
46,900.339 
43.476.334 


101.931a 
loa.3043 

lOSIS-M 


3.8IS.B09 
3.713677 
a,6M.373 
3,508 333 
3.404-374 


37!9""' 
35.198*43 
33,586.870 
30.07a.647 


M 

a 


4,.aBa46 
3-84S.SB" 
J- 573 704 
3.J".8o. 
3,063.540 


3B.347 47S 
34.5°'-897 
30.93H.193 
37.615 39» 
34-553.85I 


107.&M4 
1080630 


2.399,733 
3.194.355 
3,087.977 


37.674.374 
35.374.553 
33,180.397 

I9illl.356 


«« 

rr 

M 
SI 


3,831.598 
2,391.661 

a, 163.130 
i,96i.S« 


SI .730.353 
19. 137.595 
16,765.014 


1083903 

ifi 

1065454 


1,548.471 
1,440.393 
1,33*694 


"7.337-99S 
15473607 
■3.81s 788 
13.367,317 
10,837.035 


n 


l:S:S 
!:J.'I;S 

1.106.344 


10.870.754 

6,606,834 
5.500.590 


10s 0333 
103,9055 
100.Q430 


[.aaS 148 

'918,1673 
831-7395 


6,138 8578 


75 
78 

7» 


9664790 

837.S807 

7>')S09i 
61:1-0553 
5149336 


4.534.111 

3.696530 

3:304'9« 

1,850.035 


87.37957 
Ba.00317 
76.470.-9 
70,76831 
64,91560 


739.6114 

6433319 

i.e; 

413.C899 


4.388.9510 
3.6593393 
3,0i7-<-O77 


H 

H 


417 844= 

13 


1,433,191 

567,04938 
3W 65*74 


59,14734 

S3- 16253 
4703961 
40.84970 
34.86I44 


MS- 1773 

ill 


1.559.7309 


H 

■1 
IB 


1301044 

06.87^0 
44.60639 
37.86676 


364-S4B37 
169 37314 
10a 49373 
57.88743 
30,00064 


39 3*5^9 


113.109S 
83.79319 

59 58583 
40,19369 
35.39401 


349.83984 
336.74004 
.53.95684 
93. 37^98 
53178330 


Ml 

« 

>1 
»4 


16.13194 
B.415.06 

o.33i'88 


m 

0,045833 


OBjBlg 
■9=57566 


14.83005 
7 8174567 
3.5396396 


llss 



lO 



American Experience Table. 



Table III. 

COMMUTATION COLUMNS. AMERICAN EXPERIENCE, 

FOUR PER CENT. 



Age. 


D. 


N. 


M, 


Rt 


10 
11 
12 
IS 
14 


67S<;.64i 
6447.156 

6152.593 
5871333 
5602778 


131152.680 
124705.524 
118552 931 
II2681.593 
107078.820 


145^.4759 
1402.8223 

1356 2274 

1^11.6047 

1268.8716 


42004.234 

40552.758 
39149.936 

37793.709 
36482. 104 


16 
16 
17 
18 
19 


5346.364 
5101.49a 

4867.70a 

4644.497 

4431356 


101732.456 
96630.964 
91763262 
871 18 765 
82687.409 


1227.9486 
1188.7063 
1151.1274 
1115.1419 
1080.6354 


35213.232 
33985.283 
32796 577 
31645.449 
30530.307 


20 
21 
22 
2S 
24 


4227.832 
4033.496 

3847894 
3670.647 

3501 380 


78459577 
74420.08 1 
70578187 

66907.540 
63406.160 


1047.5473 
1015.8196 

985.3544 
956.1015 
928.0128 , 


29449.672 
28402.125 
27386.305 
26400.951 

25444849 


26 

26 
27 
28 

29 


3339.739 
3185.391 

3037974 
2897.185 
2762.733 


60066.421 
56881.030 

53843.056 
50945.871 
48183.138 


901 0419 1 

875.1444 
850.2430 

8262993 . 

8032765 


24516836 

23615794 
22740. C50 

21800.407 

21064.108 


80 
81 
82 
88 
84 


263430s 
2511 641 

2394487 
2282.574 
2175.649 


45548.833 
43037.192 

40642 705 

38360.131 

36184.482 


781.1084 

759.7633 
739 2106 

719.3936 
700.2597 


2026c. 831 

19479.723 
18719.961 

17980.750 

17261.356 


86 
86 
87 
88 

89 


2073496 
1975.910 
1882.045 
1793520 
1708 314 


34110.986 
32135.076 

30252.43" 
28458 91 I 
26750.597 


681.7857 
663.9491 

646.6814 

6299652 

613.7403 


16561.096 
15879.310 
15215.361 
14568 680 
13938 715 


40 
41 
42 
48 
44 


1626862 
1548.970 

1474.492 
1403.242 
1335081 


25123735 
23574765 
22100.273 
20697.031 
19361.950 


597.9036 
5826723 
567.7670 

5532313 
539.0410 


13.324975 
12726.981 

12144.308 

11576.541 

11023.310 


46 

46 
47 
48 

49 


1269.830 
1207.360 

"47 501 
1090 126 

1035085 


180Q2.120 
16884760 
15737.259 

14647 133 
13612.048 


525.1397 

511.5097 
498 0873 

484.8464 
473.7342 


1 10484 269 

9v59i29i 
9447.6194 
8949 5321 
8464.6857 


60 
61 
62 
68 
64 


982.2302 

931.4364 
882.5892 

835.5838 

7903230 


12629.817 
11698.381 
10815.792 
9980.2079 
9189.8849 


458.6901 
445.6742 
432.6515 
419.5918 
406.4691 


79929515 
75342614 

7088.5872 

6655 9357 

6236.3439 



American Experience Table. 



II 



Table 111.— Coiti, 

COMMUTATION COT.UMNS. AMERICAN EXPERIENCE, 

FOUR PER CENT. 



Arc. 


Dx 


N, 


M. 


Rx 


55 


746.7065 


8443.1784 


3932497 


5829.8748 


56 


7046535 


7738.5249 


379.9160 


5436.6251 


57 


664.0783 


7074.4466 


366.4428 


5056 7091 


58 


6249134 


64495332 


352-8195 


4690.2663 
4337.4468 


59 


587.0969 


5862.4363 


339-0380 


60 


550.5613 


5311.8750 


325.0831 


3998.4088 


61 


5152547 


4796.6203 


310.9520 


3673.3257 


62 


481.1291 


4315.4912 
3867.3435 


29664^7 


3362.3737 


68 


448.1477 


282.1674 


3065.7^00 


64 


416.2850 


3451 0585 


267.5410 


2783.5626 


65 


385 5146 
355.8I2U 


3065.5439 


252.7817 


2516 0216 


66 


2709.7319 


2379064 


2263.2399 


67 


3271735 


2382.5584 


222.9531 


20253335 


68 


299.6005 


2082.0579 
1809. 8610 


207.9637 


1802.3804 


69 


273.0969 


192.9831 


1594.4167 


70 


247.6878 


1562. 1732 


178.0778 


1401.4336 


71 


223.3970 


1338.7762 


163.3135 


1223.3558 


78 


200.2700 


11^85062 


148 7786 


1060.0423 


78 


1783688 


960.1374 


1345801 


911.2637 


74 


157 7573 


802 3801 


120.8289 


7766836 


76 


138.4886 


663.8915 


107.6277 


655.8547 


76 


120.5954 


5432961 


950611 


5482270 


77 


104.0936 


439.2025 


83 1975 


4-31659 
369.9684 


78 


88.97350 


350.2290 


72.0811 


79 


75-21453 


2750144 


61.7442 


297.8873 


80 


62.79449 


212.2199 


52.2170 


236.1431 


81 


5165655 


160.5634 


43.4942 


183.9261 


88 


41.79190 
3318048 


I18.7715 


35.6164 


140.4319 


88 


85.59102 


28.6124 


104 8155 


84 


25.79209 


5979833 


22.5007 


76.2031 


85 


19.55883 


40.23950 


172589 


53-7024 


86 


14.37665 


25 86285 


12.8290 


364435 


87 


10.15101 


15.71184 


9.15627 


23645 
14.4582 


88 


6.802926 


8.Q08QI4 


6.19861 


89 


4.273472 


4635442 


3.93081 


8.25962 


90 


2482463 


2.152979 


2.30417 


432881 


91 


1.301991 


.8;o9883 


1.21918 


2.02464 


98 


.5853»09 


■2656774 


.552581 


.805462 


98 


.2058384 


•0598390 


195621 


.2528 •> I 


94 


.0326121 


.0072269 


.0503106 


.0572596 


95 


.0072269 


.0000000 


.0069490 


.U069490 



12 



American Experience Table. 



COMMUTATION COLUMNS— AMERICAN EXPERIENCE. 
THREE AND ONE-HALF PER CENT. 



Arc 


1'. 


N. 


s. 


M. 


R« 


10 


TO 891.9 


I 50A 643.4 
I 436 661.9 


a8 677 206 


17 612.91 
17 099.89 


552 495.74 


11 


679815 


27 172 562 


534 882.83 


If 


65 189.0 


I 371 472.9 


25 735 901 


16 606.30 


517 782.94 


IS 


62 509.4 


1 308 963.S 


24 364 428 


16 131.12 


501 176.74 


14 


59 9384 


I 249 025.0 


23 055 464 


15 673.96 


485 045.63 


16 


57 471.6 


I 191 553.4 


21 806 439 


15 234-P5 


469 371.67 


16 


55 104.2 


I l^ 449.2 


20 614 886 


14 810.17 


454 137.61 


17 


5a 832.9 


I 083 616.3 


19 478 437 


14 402.30 
14 009.83 
13 631.68 


439 327 44 


18 


50 653.0 
48 562.8 


I 032 962.4 


18 394 820 


424 925.14 


19 


984 399-6 


17 361 858 


410 915.31 


SO 


46 556.2 


937 843 4 


16 377458 


13 267.32 


397 283.63 


SI 


44 630.8 


893 212.6 


J5 439 615 


12 916.25 


384 016.31 


ss 


43 782.8 


850 429.9 


14 546 402 


12 577.53 


371 100.05 


S8 


41 009.2 


809 420.6 


13 695 972 


12 250.71 


358 522.53 


84 


39 307.1 


770 113.6 


12 886 5S2 


" 93538 


346 271.82 


85 


37 673.6 


732 439-9 


12 116 438 


11 631.14 


334 336.44 


ae 


36 106. 1 


696 333.8 


" 383 998 


II 337 59 


322 705.31 


87 


34601.5 


661 732.4 


10 687 664 


II 053.97 


311 36772 


88 


33 157.4 


628 575.0 


10 025 932 


10 779.94 


300 313 75 


89 


31 771.3 


596 803.6 


9 397 357 


10 515.18 


289 53380 


80 


30 440.8 


566 362.9 


8 800553 


10 259.02 


279 018 62 


81 


29 163 5 


537 199-3 
509 261.8 


8 234 191 


10 on 17 


268 759.60 


88 


27 937-5 


7 696 991 


9 771-375 


258 748.43 


88 


26 760.5 


482 501.3 


7 187 729 


9 539 044 


248 977.06 


84 


25 630.1 


456 871.2 


6 705 228 


9 313638 


239 438.01 


86 


24 544-7 


432 326 5 


6 248 357 


9 004.955 


230 124.37 


86 


23 502.5 


408 824 


5 816 030 


8 882.798 


221 029.42 


87 


22 501.4 


386 322.6 


5 407 206 


8 676.415 


212 146.62 


88 


21 539-7 


364 782.9 


5 020 884 


8 475-658 


203 470 21 


89 


20 615.5 


3+4 167.4 


4 656 lOI 


8 279.860 


194 994.55 


40 


19 727.4 


324 4400 


4 3" 934 


8 088.915 


186 714.69 


41 


18 873.6 


305 566.3 


3 987 494 


7 902.231 


178 625.77 


48 


18 052.9 


287 5134 


3 681 927 


7 719-738 


170 723 54 


48 


17 203.6 


270 249.8 


3 394 414 


7 540 QIO 


163 003.81 


44 


16504.4 


253 745 5 


3 124 164 


7 365-489 


135 462 90 


46 


15 7736 


237 971-9 


2 870 419 


.7 192.809 


148 097.41 


46 


15 070.0 


222 901.9 


2 632 447 


7 022 682 


140 904.60 


47 


14 392.1 


208 509.8 


2 409 545 


6 854 337 


133 881.92 


48 


13 738.5 


194 771-3 


2 201 035 


6 687.466 


127 027.58 


49 


13 107.9 


181 663.4 


2 006 264 


6 521.419 


120 340.11 


60 


12 498.6 


169 164.7 


I 824 6no 


6 355 436 


113 818.69 


61 


II 909.6 


157 255.2 


I 655 436 


6 189 012 


107 463*26 


68 


" 339 5 


145 915 7 


I 498 181 


6 021.696 


loi 374.25 


68 


10 787.4 


135 128.2 


I 352 265 


5 853-095 


95 252.55 


64 


10 232.4 


124 87^.8 


I ai7 137 


5 682.861 


89 399 46 



American Experience Table. 



13 



COMMUTATION COLUMNS— AMERICAN EXPERIENCE. 
three AND ONE-HALF PER CENT. 



Age 



66 
66 
87 
68 
69 

60 
61 
62 
68 
64 

66 
66 
67 
68 

69 

70 
71 
78 
78 
74 

76 
76 
77 
78 
79 

80 
81 
88 
88 
84 

86 

86 
87 
88 
89 

90 
91 
98 
98 
94 
96 



D, 



9 733-40 
9 229.60 

8 740.17 

8 264.44 

7 80Z.82 



7 
6 

6 

6 

5 

5 
4 
4 
4 
3 

3 

3 

2 

2 
2 

I 
I 
I 
I 
I 



351.65 

913-44 

486.75 
071.27 

666.85 

273-33 
890.55 
518.65 
157.82 
808.32 

470.67 

145-43 
833-42 
535-75 
25357 

987.87 

739-39 
508.63 

295-73 
100.65 

923338 
763.234 

620.465 

494.995 
386.641 

S94.610 
217.598 

154-383 
103-963 
65.6231 

38-3047 
20.1869 

9 I 1888 

3 22236 

.82761 

.11423 



N. 



115 142.A 
105 912.8 
97 172.64 
88 908.20 
81 X06.38 

73 754.73 
66 841.28 

60354.54 
54 283.27 
48 616.41 

43 34308 

38 452. 

33 933 
29 776 06 

25 967-74 

22 497.07 
19 351.64 
16 518.22 
13 982.47 
II 728 90 



t 

6 

5 
4 



3 

2 

I 
I 



741 028 
001.633 
492.999 
197.271 
096.624 

173-286 
410.052 

789587 
294502 

907-9513 

613.3417 
395-7438 
241.3600 

137-3978 
71.77470 

33.47001 

13.28309 

4.16421 

.94184 

.11423 

.coooo 



S. 



1092 261 
977 "8.5 
871 205.7 
774 033.0 
685 124.8 

604 018.4 
530 263.7 
463 422.4 
40^067,9 
348784.6 

300 168.2 
256 825.1 
218 372.6 
184 438.7 
154662.7 

128 694.9 

106 197.8 
86846.20 
70327.98 

56 345-51 

44 616.62 

34 875.59 
26 873.95 

20380.96 

15 183.69 

II 087.06 

7 913.775 
5 503.723 
3714.136 
a 419-5^4 

1 511.592 
898.2505 
502.5068 
261.1459 
123.7481 

51-973.^8 

18.50337 

5.22028 

1.05608 

.11423 

.00000 



M. 



5 510.544 
5 335-898 
5 158.573 
4 978 405 
4 795.266 

4 608.926 

4 419-323 
4 226413 

4 030.206 

3 831.187 

3 629.300 

3 424.843 
3 218.321 
3 010.299 
2 801.396 



592.538 

384-657 
179.018 
977.167 
780.731 



I 591-240 
I 409.988 
I 238.047 
I 076.158 
924.8937 

784.8046 

6559245 
5389657 
4344776 
342 8624 

2639059 
1968569 
141.0003 
95.80107 
60.97681 

35-87752 

1905509 
8.669695 

3-081545 
•795762 
.110369 



R. 



83 716.59 
78 206.05 
72 870.15 
67 7" 58 
62 733.17 

57 937-91 
53 328.98 
48 909.66 
44 68325 
40 652.9s 

36 821.76 

33 192.46 
29 767.62 

2654930 
23 539-00 

20 737.61 
18 145.07 
15 760.41 

13 581.39 
II 604.22 



t 



823.494 
232.253 

6 822.265 

5 584-218 

4 508.060 



3 583- 166 
2 798.361 
2 142.437 
1 60^.471 
I 168.993 

826.1310 
562.2251 
365.3682 
224.3679 
128.5668 

67.58998 
31.71246 
12.65737 
3.987676 
.906131 
.110369 



14 



American Experience Table. 



COMMUTATION COLUMN— AMERICAN EXPERIENCE. 

three per CENT. 



Age 


1 


N, 


s. 


M. 


Re 


10 
11 
IS 
18 
14 


74409.3 

71 701.0 

69089.4 

66 S7i.a 
64 143.0 


I 736 9362 
I 6^ 235.3 
I 596 145.9 
X 529 574.7 
I 465 431.7 


35 170 109 

33 4.^3 173 
31 767 938 

30 171 792 
28 642 217 


i 

1 21 651.75 

21 110.66 

20 587.43 
20 081.48 

19 592.25 


734 215.97 
712 564.22 

691 453 57 
670 860.14 

650 784.66 


16 
16 
17 
18 
19 


61 801 7 

59 543-6 
57366.4 
55 267.4 

53 343.0 


I 403 630.1 
1 344086.5 
I 280 720.0 
I 231 452.6 
I 178 209.6 


27 176 785 

25 773 155 
24 429069 

23 142 349 
21 910 896 


19 119.90 
18 661.17 
18 218.30 
17 790.09 

17 375.49 


631 192.41 
612 073.21 

593 412.04 
575 193 74 
557 403 65 


80 
81 
28 
88 
84 


51 290.9 
49408.3 

47 592.4 
45 840.9 
44 1515 


I 126 918.7 

I 077 510.4 

I 029 918.0 

984077.1 

939 925 6 


20 732 687 
19 605 768 
18 528 257 

»7 498 339 
16 514 262 


16 974.08 

16 585.43 
16 208.62 

15 843.30 
15 489." 


540 028.16 
523 054.08 
50646866 
490 260.03 
474 416.74 


86 

86 
87 
88 
89 


4a 522.2 
40950.7 
39 434-8 
37972.4 
36 561. 7 


8974034 
856 452.7 

817 017.9 

7790455 
742 483.8 


15 574 337 
14 6-/6 933 

13 820 480 
13 003 463 
12 224 417 


IS 145.71 

14 812.77 

14 489 54 
14 175.72 
13 871.04 


458 927-63 

443 781.93 
428 969.15 

414 479.61 

400303.90 


SO 
SI 
88 
SS 

S4 


35 200.6 

33 887.3 
32 620 3 

31 397.6 
30 217.4 


707 2833 
673 396.0 
640 775-7 
609 378.0 
579 160.7 


II 481 933 

10 774 650 

10 loi 254 

9 460 479 

8 851 lOD 


13 574.82 
13 286.83 
13 006.84 

12 734.25 
12 468.50 


386 432.86 
372 858.04 
359 571.22 
346 564.38 
333 830.13 


86 
86 

87 
88 

89 


29 078.1 
27978.7 
26 916.9 
25 891.6 
24 901.0 


550082.5 
522 103.8 
495 186.9 
469 295.4 
444394.4 


8 271 940 
7 721 857 
7 199 753 
6 704 567 
6 235 271 


12 209.42 
II 956.86 
II 70Q.98 
II 468.66 
II 232.16 


321 361.64 
309 152-21 
297 195-36 
285 485-38 
274 016.72 


40 
41 
48 
4S 
44 


23943.9 
23 018.8 

22 124.7 

21 260.1 

20 423.8 


420450.5 
397 431-6 
375 3C6.9 
354 046.8 
333623.0 


5 790 877 

5 370426 

4 972 995 
4 597688 

4 243 641 


II 000.40 
10 772.72 
10 549.06 
10 328.84 

10 111.76 

1 


262 784-56 
251 784.16 
241 on 44 
230 462 38 

220 133.54 


46 
46 
47 
48 
48 


19 614.2 
18 830.3 
18070.5 

173336 
16 618.3 


314 008.8 

295 178.4 
277 107.9 

259 774-3 
243 156 


3 910 018 
3597009 
3 300 831 
3 023 723 
2 763 949 


9 897.0C2 
9 684.454 
9 473 083 
9 262.544 
9 152.028 


210 021.786 
200 124.754 
190 440 300 
180 967.217 
171 704.674 


SSSSS 


15 922.8 
15 246.0 
14 568.7 
13 943 9 
13 316.6 


227 2332 

211 987 3 
197 400.6 

183 456.7 
170 140.0 


2 520 793 
2 293 559 
2 081 572 
I 884 173 
I 700 715 


8 840.573 
8 627.52s 
8 412 298 
8 194. 3b2 

7 973-249 : 

1 


162 652.645 
153 812.072 
145 184.547 
136 772.2^0 
128 577887 



American Experience Table. 



15 



COMMUTATION COLUMN— AMERICAN EXPERIENCE. 

THREE PER CENT. 



Age 



S6 
66 
67 
68 

69 

60 
61 
6S 
68 
64 

66 
66 
67 
68 

69 

70 
71 
78 
78 
74 

76 
76 
77 
78 
79 

80 
81 
88 
88 
M 

86 
86 
87 
88 

89 

90 
91 
98 

98 
94 
96 



D. 


*N. 


12 703 88 


157 436.2 


12 104.81 
•I 518.5s 


14s 331.3 
133 812.8 


10 944.47 


122 8683 


10 381.99 


ZI2 486.3 


9 830.431 


102 655.9 


9 289.344 


93 366.56 


8 758.317 


8a 608.24 
76 371.10 


8 237.140 


7 725-774 


68 645.33 


7 224.176 


61 421.15 


6 732.30Q 


54 688.84 


6 250.54s 


48 438.30 
42 658.96 


5 779342 


5 319 238 


37 339-73 


4 871.163 


32 468.57 


4 436.103 
4 015.468 


28 032.46 


24 017.00 


3 611.065 


20 405.93 


3 224.794 


17 181. 14 


2 858.396 


14 532.74 


2 513 250 


II 809.49 


2 190.406 


9 619.086 


I 890.417 


7 728.668 


I 613.596 


6 115.072 


I 360.225 


4 754.848 


I 129.824 


3 635.024 


922.0403 

739-8783 
580.7247 


2 702.08^ 
I 962.206 


I 381.481 


444.6441 


936.8367 


330.0073 


606.8294 


235-2725 


371.5570 


159.2040 


212.3530 


ioa9799 


111.3731 


59-22684 


52.14422 


3»-36567 


20.77855 


1423735 


6.54120 


5Q5S5I 


1.48569 


1.30473 


.18096 


.18096 


.00000 




I 530 575 

I 373 139 
I 227807 

109399s 
971 1363 

858 640.0 

755 9840 
66^ 617.5 
578 000.3 
501 638.2 

433992.9 

371 571.7 
316 882.9 

268 444.6 

225 785.6 

188 445.9 

155 977-3 
127 944.8 

103 927.8 

83 521.92 

6634078 
52 018.04 
40 208.55 
30 589.46 
22 860.79 

16 745.72 
II 990.87 
8 365.850 
5 663.766 
3 701.561 

3320.080 

1 383243 
776.4136 

404.8566 
192.5037 

81.13062 

28.98640 

8.2078«; 

1.66665 

.18096 

.oocoo 



7 

7 

7 

7 
6 



748.344 
S19293 

285.597 
047005 

803.299 



6 554.130 
6 399.366 
6 038.903 
5 772.823 

5 501.373 



S 
4 
4 

4 
4 

3 
3 

3 

2 

3 



324 798 

943343 
657.666 

368.518 

076.734 

783.598 
490.416 
198.988 
911.541 
630.446 



2 357.974 
2 096.083 

I 846.440 

I 610.250 

I 388.489 

I 182. 1 16 

991.3330 
817.3571 
661.1768 
523-5730 

404.4068 
302.7208 

217.5978 
148.381Q 
94.79488 

5598496 

29.84690 

13.63215 

4.86499 

1. 26146 

•17569 



R. 



I30 604.64 

113 856.29 

105 337.00 

98 051.41 

91 OG4.4O 

84 30I.I0 

77 64697 

71 347.61 
65 308.70 

59 535-88 

54034.51 
48 809.71 
43 866.37 
39 308.70 
34 840.18 

30 763.4s 
26 979.85 

23 489.44 
20 390.45 

17 378.91 

14 748.46 
12 390.49 
10 294.40 

8 447.963 
6 837.713 

5 449-33A 
4 267. loS 

3 275.77s 
2 458.418 

I 797.241 

I 273668 
8692616 
566.5408 

348.9430 
300.5610 

105.7661 
49.78119 

19.93439 
6.30214 

1.43715 
.17569 



i6 



American Experience Table. 



AMERICAN EXPERIENCE TABLE— VALUATION COLUMNS. 

THREE PER CENT. 



Age. 



SO 
SI 

ss 
ss 

24 

S6 

26 

n 

S8 
St 

SO 
81 

u 

SS 

S4 

S6 
t% 

S7 
SS 

S9 

40 
41 
48 
48 
44 

46 
46 
47 
48 
48 



81 
M 
88 

M 

88 

66 
67 



U| 



.038x03 

•038155 
.038208 

.03826^ 

.038318 

•038374 

.038443 
.038513 

.038583 

.038668 

.038753 
.038841 
.038942 

.039058 
•039177 

.039298 

.0394-I7 
.039600 

.039783 
.039970 

.040188 
.040412 
.040669 
.040948 
.041276 

.041628 
.042048 
.043511 
.043048 
.043678 

.044393 
.045198 
.0460^8 
.047102 
•048235 

.049490 
.050897 

•052454 



Cb 



•007S77 
.007606 
.007676 
.007727 
.007778 

.007830 
.007893 
.007958 
.008024 
.008x02 

.008181 
.008262 
.008356 
.008464 
.008574 

.008686 
.008824 
.008965 

•009134 
.009307 

.009509 
.009716 

•009954 
.010211 

.010513 

.0x0838 
.ox 1225 
.ox I 65 X 
.0x2x45 
.012724 

.013380 
.OX4XX7 

.014941 
.015857 
.0x6889 

.0x8030 
.019306 
.0207x4 



k. 



.007866 

.0079x7 
.007969 
.008022 
.008076 

.008x30 
.008197 
.008264 

.008333 
.008415 

.008498 
.008583 
.00868a 
.008795 

.008910 

.009027 
.009x72 
.009320 

.009498 
.009679 

.009891 
.0x0x09 

.010359 

.010629 

.010947 

.01x289 
.011697 
.0x9x46 
.0x2668 
.0x3280 

.0x3974 
.0x4755 

.015629 
.016604 
.017704 

.018922 
.020289 
.021800 



Age. 



68 

69 
60 
61 
6S 

68 
64 
66 
66 
67 

68 
69 
70 
71 
7S 

78 

74 
76 
76 

77 

78 
79 
80 
81 
88 

83 
84 

86 
86 
87 

88 
89 

90 
91 
98 

93 
94 



Ui 



k. 



.054x78 
.056107 
.058248 
.06063X 
.06327a 

.066x90 

•069433 
.073051 

.077076 

.081532 

.086500 
.09x983 
.098073 

.104754 
.11x990 

.1x9782 
.X28X83 
137330 
.147^90 
.158689 

.171555 
.186272 

.203926 

.224157 

.347422 

.274060 
•306044 

347377 
.402660 

•477805 



576591 
70491 X 

888333 

2.203056 

2.8x6203 



3.874756 
7.210046 



032268 
024000 
0359x6 
038039 
030380 

03^54 
035799 
038960 

042434 
046260 

050487 

055109 
060x87 

065695 
071585 

077843 

084493 
091622 

099331 
107829 

117308 

127897 
1402|8 

153985 
169320 

185983 
205203 
22869X 

257943 
294x95 

3^594 

384333 
441306 

516959 
615786 

712793 

832177 



023474 
025347 
037425 

029739 
032303 

035136 
038285 

041807 

045704 
050031 

054854 
060178 



066090 

072576 
079603 

087x67 

095323 

X0420^ 

113971 
124941 

137433 
15 1 720 

X6886I 

188502 
21x089 

236952 

268004 

308133 
361806 

434762 

530670 
655254 

833333 
138889 

734177 



2 761905 
6.000000 



American Experience Table. 



17 



AMERICAN EXPERIENCE TABLE— VALUATION COLUMNS. 
THREE AND ONE-HALF PER CENT. 



Age. 


Ui 


Ci 


80 


X.043I4I 


.007541 


SI 


1.043x95 


.007590 


sa 


1.043249 


.00-/659 


St 


X 043303 


.007689 


84 


1043359 


.007740 


81 


1043414 


.007792 


se 


1.043484 


.007855 


87 


1043553 


.007920 


88 


1.043627 


.007985 


88 


1.043708 


.008063 


80 


1.043798 


.008142 


81 


1.043884 


.008222 


88 


1.043983 


.008316 


88 


1.044104 


.008423 


84 


X. 044221 


.008532 


8» 


1.044344 


.008644 


86 


1.044491 


.008781 


87 


I 044648 


.008922 


88 


1.044830 


.009090 


89 


1. 045019 


.009262 


40 


1.045238 


.009463 


41 


I 045461 


.009669 


48 


1.045720 


.ooggob 


48 


1.046000 


.010161 


44 


1.046331 


.010463 


4» 


1.046689 


.010786 


46 


1. 047102 


.011171 


47 


I 047574 


.oii5g5 


48 


1. 048 108 


.012086 


49 


1.048749 


.012663 


60 


1.049456 


.013315 


61 


1.050276 


.014049 


68 


1.051180 


.014869 


68 


1.052183 


.015781 


64 


1.053322 


.016807 


66 


1.054585 


.017943 


66 


1055998 


.019213 


87 

• 


1.057564 


.020614 



.01892a I 

.020289 

.021800 



98 
94 



.007866 


Age. 


68 


.CX37917 


69 


.007969 


60 


.008022 


61 


.008076 


68 


.008130 


68 


.008197 


64 


.008264 


66 1 


.008333 


66 


.008415 


67 , 


.008498 


66 


.008583 


69 ! 


.008682 


70 


.008795 


71 


.008910 


78 


.009027 


78 


.009172 


74 


.009320 


78 


.00949S 


76 


.009679 


77 

1 


.009891 


78 


.010109 


79 


.010359 


80 


.010629 


81 


.010947 


68 

1 


.011289 


88 


.011697 


64 


.012146 


86 


.012^68 


66 


.013280 


67 


•013974 


88 


•014755 


89 


.015629 


90 ■ 


.016604 


91 


.017704 


98 



Us 




059395 
061235 
063385 

065779 
068434 

071366 
074625 
078269 
082303 
086783 

091773 
097287 

IO34OI 

IIOII8 

117389 

125215 
I33661 

142855 

153959 
164309 

177241 
192034 
209771 
230100 

253477 

280244 
312382 

353919 
409469 

484980 

584244 
7I3187 

897503 

313745 
829879 

893568 
245001 



.022160 
.023884 
•025791 
.027903 
.030234 

.032795 
.035626 
.038772 
.042229 
.046036 

.050243 

.054843 
.059896 

.065377 
.071239 

.077467 
.084085 

•091179 
.098851 

.107308 

.116741 

.127279 

.139581 

.153241 
.168403 

.185083 
.204211 
.227586 
.256696 
.292773 

.334968 
.382476 

.439174 
•514461 
.612811 

.709350 
.828157 



083474 
025347 

027425 
039739 
032302 

035136 
038285 
041807 

045704 
050031 

054854 
060178 

066090 

072576 
079602 

087167 

095323 
104204 

113971 

124941 

137433 
151730 

168861 

188509 

211089 

236952 
268004 

308133 
361806 
43476a 

530670 

655254 

833333 
138889 

734177 

761905 
000000 



AMERICAN EXPERIENCE TABLE. 

(Hunter's Makehamized.) 

INTRODUCTION. 

This table is a regraduation of t?ie American Experience 
Table by ** Makeham's first law." It was presented to 
the Actuarial Society of America in May, 1902, by its 
author, Arthur Hunter, A. I. A., actuary of the New York 
Life Insurance Company; and the Society undertook the 
publication of a very complete volume of commutation, 
premium and reserve tables, for joint lives, especially, Mr. 
^Hunter doing the work. The tables which follow are 
republished by permission of the Society and their author. 

Reference should be made to the book of tables men- 
tioned, for values for two and for three lives. 



American Experiexce Table. 



21 



(HUNTERS MAKEHAMIZED.) 



Age. 


Ii 


d. 


pt 


<u 


Ace 


1. 


d. 


P« 


q« 


10 


100,081 


766 


.99235 


.00765 


65 


64.383 


1.196 


.08142 


.01858 


11 


993J5 


762 


•99233 


.00767 


56 


63,187 


1. 251 


.98020 


.01980 


12 


98.553 


757 


•99232 


.00768 


67 


61.936 


1. 310 


.97885 


.02115 


13 


97.796 


752 


•99231 


.00769 


68 


60.626 


1.373 


•97735 


.02265 


14 


97.<H4 


748 


•99229 


.00771 


69 


59.253 


1. 441 


.97568 


.02432 


15 


96,296 


744 


.99227 


•00773 


60 


57.8X2 


1.5x2 


.97385 


.02615 


16 


95.5S2 


740 


.90226 


.00774 


61 


56.300 


1.589 


.97178 


.02822 


17 


94.812 


736 


•99224 


.00776 


62 


54.711 


X.667 


.96953 


•03047 


18 


94.076 


733 


.99221 


.00779 


63 


53.044 


1.750 


.96701 


.03299 


19 


93.343 


729 


.99219 


.00781 


64 


51.294 


1.835 


•96423 


•03577 


to 


92.614 


726 


.99216 


.00784 


66 


49.459 


1.923 


.96112 


.03888 


tl 


91.888 


723 


.9^213 


.00787 


66 


47.53'J 


2,010 


•95772 


.04228 


12 


91.165 


721 


.99209 


.00791 


67 


45.526 


2.007 


•95394 


.04606 


IS 


90.444 


718 


.09206 


•00794 


68 


43.429 


2.183 


•94973 


. 0^027 


14 


89.726 


716 


.99202 


.00798 


69 


41.246 


2.264 


•94511 


.05489 


15 


89,010 


715 


.99197 


.00803 


70 


38982 


2,340 


93907 


.06003 


16 


88.295 


714 


.99191 


.0080Q 


71 


36.642 


2.407 


•93431 


.06569 


17 


87.581 


713 


.99186 


.00814 


72 


34.235 


2.462 


.92800 


.07191 


18 


86.868 


712 


.99180 


.00820 


78 


31.773 


2,504 


.92119 


.07881 


19 


86.156 


714 


.99171 


.00829 


74 


29.269 


2.530 


•91356 


.08644 


to 


85.442 


714 


.99164 


.00836 


76 


26.739 


2.535 


•90519 


.09481 


tl 


84.728 


715 


.90156 


.00844 


76 


24.204 


2517 


.89601 


.10399 


tt 


84.013 


718 


•99145 


.00855 


77 


21.687 


2.476 


.88583 


.11417 


tt 


83.295 


720 


.90136 


.00864 


78 


19.211 


2,406 


•87476 


•"524 


t4 


82.575 


725 


.99122 


.00878 


79 


16.805 


2.310 


.86254 


.13746 


86 


81.850 


729 


•99109 


.00891 


80 


14.495 


2,186 


•84919 


.15081 


86 


81.121 


734 


•9909s 


.00905 


81 


12,309 


2.036 


.83459 


16541 


87 


80.387 


741 


.99078 


.00922 


82 


10.273 


1.863 


.81805 


.18135 


t8 


79,646 


750 


•99058 


.0094a 


83 


8.410 


1. 671 


.80131 


•19869 


89 


78.896 


758 


•99039 


.00961 


84 


6.739 


1.465 


.78261 


.21739 


40 


78.138 


769 


.99016 


.00984 


86 


5.274 


I.2S5 


.76^04 


.23796 


41 


77.369 


780 


.98992 


.01008 


86 


4.019 


X.045 


.73999 


26001 


42 


76.589 


795 


.98962 


.01038 


87 


2.974 


844 


.71621 


.28379 


48 


75.794 


809 


•98933 


.01067 


88 


2,130 


659 


.69061 


30939 


44 


74.985 


827 


.98897 


.01103 


89 


I.471 


495 


.66349 


•33651 


46 


74.158 


847 


.98858 


.01142 


90 


976 


357 


.63422 


•36578 


46 


73-3" 


868 


.98860 


.01184 


91 


619 


245 


.60420 


•39580 


47 


72.443 


892 


.98769 


.01231 


98 


374 


160 


•57219 


.42781 


48 


71.551 


920 


.98714 


.01286 


93 


214 


99 


•5373S 


.46262 


49 


70.631 


948 


.98658 


.01342 


94 


"5 


57 


.50435 


•49565 


60 


69.683 


981 


.98502 


.01408 


96 


58 


31 


.46552 


.53448 


61 


68,702 


X.017 


.98520 


.01480 


96 


27 


x6 


•40741 


•59259 


58 


67.685 


1.057 


.98438 


.01562 


97 


II 


7 


•36364 


.03636 


68 


66,628 


1.C99 


•98351 


.01649 


98 


4 


3 


.25000 


•75000 


64 


65.529 


1,146 


.98251 


.01749 


99 


I 


I 


• •■••• 


1. 00000 



22 



American Experience Table. 



•(HUNTERS MAKEHAMIZED.) 

THREE AND ONE- 



COMMUTATION COLUMNS. ONE LIFE. 

HALF PER CENT. 



Ag«. 


D. 


N, 


s. 


M. 


R. 


10 


70950 


1504846 


28690717 
27185871 


17661.57 


553278.87 


11 


6802s 


1436821 


17136.90 


535617.30 


It 


65221 


1371600 


25749050 


16632.61 


518480.40 


18 


62532 


1309068 


24377450 


16148.57 


501847.79 


14 


59953 


1249115 


23068382 


15683.99 


485699.22 


IS 


57478 


1191637 


21829267 


15237.52 


470015 23 


16 


55105 


1136532 


20627630 


15808.46 


454777-71 


17 


52829 


1083703 


19491098 


14396.13 


438969.25 


18 


50^7 


1033056 


18407395 


13999.90 


424573 12 


19 


48552 


984504 


17374339 


13618.63 


410573.22 


to 


46545 


937959 


16389835 


13252 26 


396954 59 


tl 


44618 


893341 


1:^451876 


12899.73 


38370233 


tt 


42770 


850571 


14558535 


12560.53 


370802.60 


tt 


40997 


809574 


13707964 


12223.71 


358242.07 


84 


39296 


770278 


12898390 


X 1919. 26 ' 


346018.36 


86 


3/664 


732614 


12128112 


1 
11616.29 


334099.10 


86 


36099 


69^^515 


11395498 


11323-97 , 


322482.81 


27 


34596 


061919 


10698983 


11041.93 


311158.84 


88 


33154 


628765 


10037064 


10769 81 


300116.91 


89 


31770 


596995 


9408299 


10507.26 1 


289347. 10 


80 


30441 


566554 


8811304 


10252.88 


278839.84 


81 


29166 


537388 


8244750 


10007.10 


268586.96 


88 


27942 


509446 


7707362 


9769.30 1 


258579.86 


88 


26766 


482680 


7197916 


9538.58 : 


248810.56 


H 


25638 


457042 


6715236 


931504 


239271.98 


86 


24553 


432489 


6258194 


909755 


229956.94 


86 


235" 


408978 


5825705 


8880.26 


220859.39 


87 


22511 


386467 


5416727 


8' 80.71 


21 1973 13 


88 


21549 


36*91 8 


5030260 


8480.22 


203292.42 


88 


20625 


34-1203 


4665342 


8284.16 


194812.20 


40 


19736 


324557 


4321049 


8092.71 


186528 04 


41 


18881 


30567^) 


3996492 


7905C5 


178435-33 


48 


18058 


287618 


3690816 


7721.14 


170530.28 


43 


17266 


270352 
253848 


3403198 


7540.03 


162809. 14 


44 


16504 


3132846 


7361.97 


155269.11 


46 


157/0 


238078 


2878998 


7186.10 


147907.14 


46 


15063 


22^015 
208634 


2640920 


7012.07 


14072 I 04 


47 


14381 


2417905 


6839.76 


133708.97 


48 


13724 


I949IO 


2200271 


6668.67 


126869.21 


49 


13089 


I8I82I 


2014361 


6498.18 


120200.54 


60 


12477 


169344 


1832540 


6328.44 


113702 36 


61 


1 1885 


157459 


1663196 


6158.72 


10737392 


68 


11313 


146146 


1505737 


5988.74 


101215.20 


68 


10760 


13S386 


1359591 


58:8.04 


95226.46 


64 


10225 


125 160. 6 


1224204.5 


5646.56 . 


89408.42 



* Republished by kind permission of the author and of the Actuarial Society of Ameri 



American Experience Table, 
(hunter's makekamized.) 



A|*. 


D. 


». 


^. 


M. 


«. 


Si 


9704" 

1^1 


;s:; " 


'^3S89's 


5473.79 

5*9958 


7&^4 




^7534.0 


77^:° 


5133. sa 


74988.49 




B»43-7 


B9ago,3 




67S64.97 


M 


7784.S 


81503.8 


6905 14- 7 


4765^01 


639.9.58 


10 


7338.4 


^1 


6090089 


4583.10 


58154-57 


ei 


G|i,.i 


534841.5 


4396.67 


S3S7a-47 


e* 


Sai.g 


60779.7 


467578.9 


^.38 


49175.80 


M 


S73-0 


S4706-7, 


406799-" 


4017.53 


Sl2:g 


M 


3674.0 


^9033. 7 


35»9'-5 


38"3-9S 


ti 


5386.0 


43746.7 


303059.8 


36>7.«3 
3439.16 


37"5.94 




4908.6 


3B838.I 


=593 '3." 


33498.11 






34396.0 




3"8.72 


30C68.85 




^Itl'-l 


^r^ 




30^.58 


36840.13 


t» 


^^..5 


156069.4 


S»3.=-6 


33813.55 


TS 


3507. s 


12760.3 


139801.3 


2619.53 


30990.39 




j.ess 


19574 5 


107041.0 


3416.08 


.6370.76 




=■875.8 


[6098.7 


fl^l 


33.3 89 


'S954."a 




aS7B.a 


14II9.9 


70767.8 




1374079 


7* 


M95.a 


11824.7 


566479 


tsl?'?^ 


i>7a6.7J 


76 


amiQ 


9798.S 


44823,3 


1636,03 


1^:" 




177>^8 


8027.0 


3SM4.4 


1440.40 


71 


:^?r? 


6^03.. 
5180.3 


'6997.4 
=0504.3 


iSa.44 
1093,34 


^.l^ 




1109,6 




153=398 


934.38 


«86.83 


ID 


934.68 


34597 


I"53.33 


7S7.03 


3SS»-45 




758.66 


3387.31 


B107.36 


653, ag 


'765 43 




611.77 


1391 65 


57«>.'=S 


531-04 


311314 




4S3.89 


3944-51 


413489 


1582 097 


t* 


374.6* 


917.01 


2651.86 


330.954 


1.56.^8 


U 


383.38 


633.73 


1735.33 


352.266 


827204 




»B.57 


435.16 




187.138 


57=(.ojS 




149." 


276.04 


676.96 


134.741 


3S7.f,« 




103. 19 


172.852 




93.854 


=53 >49 


■■ 


6i.853 


103.999 


338071 


63.»8 


159,195 


M 




S9.8& 


1*4.073 


40.62a 


96.287 


«1 




3a.8.3 


64.213 


35023 


55.t*i 


■1 


I|.789 


.7.024 
829s 


31.400 

■J;£ 


14.67?6 
8.1333 






4-S3* 


3.763 


4.»5.6 


7.8092 


tl 


■.aoq 


I.S54 


2.318 


a. 081 a 


3.SS7* 


H 


.993 


■561 


■764 


-9407 


1-4764 




-W" 


.170 


.303 


.3720 


5357 




.'37 


.033 


.033 


.>3i6 


.'637 


H 


.033 




.000 




.aj2I 



24 



Amkkican Extekikm e Tahle. 



•(HUNTER'S MAKEHAMIZED.) 

COMMUTATION COLUMNS. TWO LIVES. THREE AND ONE- 
HALF PER CENT. 



Equal 

10 
11 
12 
18 
14 

16 
16 
17 
18 
19 

80 
81 
88 
88 
84 

86 
86 
87 
88 

89 

80 
81 
88 
88 
84 

85 
86 
87 
88 

89 



D„ 



71007CXXXX) 
6755QOCOOO 
6427800000 
6 15300000 
58181000CO 

5534900000 
5265400000 
5008800000 
4764600000 
4532000000 

4310700000 
40999CXXXX) 
3899200000 
3707900000 
3525900000 

3352500000 
3187400000 
3029900000 
2880000000 
2737200000 

2600900000 

2471200000 
23475C0000 
222950COO0 
2117000000 

2009700000 
1907300000 
18096C0000 
I 71 6300000 
1627200000 




40 


1542100000 






I46080C000 




4s 


1383100000 






X3087000CO 






X 237500000 






1169500000 






I 104300000 






1041800000 






981970000 1 




924530000 . 




869440C00 






816540000 






765740000 






716940000 




64 


670010000 





128026600000 

12 1270700000 
I 14842900000 
108727600000 j 
102909500000 I 

97374600000 
92109200000 . 
87100400000 I 
82335800000 ,' 
77803800000 

73493100000 
693932OOOCO 
65494000000 
61786100000 

5826o2roooo 

54907700000 
5172030CO00 
48690400000 
45810400000 
43073200000 

40472300000 
38001100000 
3565360COOO 
33424100000 
31307100000 

29297400000 
27390100000 
25580500000 I 
23864200000 ' 
22237000000 j 

20694900000 ; 
19234100000 j 
17851000000 
165,2300000 ; 
153048. 000 J 

i4i3;3Coooo 
13031000000 
119S9230000 
1 10072O0000 
IC082730000 

921329C000 
8396750000 
7631010000 
6914070000 
62440'xxxx> 



2x23131900000 
1995105300000 
1873834600000 
1758991700000 
1650264100000 

1547354600000 
1449980COC000 
1357870800000 
1270770400000 
11884346000CO 

1110630800000 

1037137700000 

96774450C000 

902250500000 

840464400000 

782204200000 
727296500000 
675576200000 
626885800000 
581075400000 

538002200000 
497529900000 
459528800C00 
423875200000 
39045110C000 

35914400C000 
329840600000 
302456500000 
27687^)000000 
25301 iSoococj) 

230774800000 
210079900000 
i(/)845 800000 
172994800000 
156452500000 

14114770C000 
127012400C00 
1139813800CO 
101992150000 
909B4890000 

80902 1600CO 
71088870000 
63292120000 
55661 1 loooo 
48747040000 



2531020000 
2426360000 
23267600CO 
2231680000 
2141236000 

2054926000 
19725730CO 
1894008000 
1819231000 
174771 1000 

1679714000 
I 614649000 
1553533000 
M931530CO 
1436525000 

1382362000 
13305620.0 
1280908000 
1233469000 
1188076000 

1144361000 
1102571000 
10624O0COO 
1023833003 
986764000 

951006000 
916515COJ 
883387000 
85 1 2.; 4000 
820214000 

790107000 
760945000 
732651000 
704995000 

678 1430 JO 

651965000 

626282000 
60118900-0 

576542000 
552302000 

528488000 
504995000 
481795000 

458895000 
436208000 



58760930000 
56329910000 

53803550000 
51476790000 
49245107000 

47I0387IOOO 

45048945000 
43076372000 

41182364000 

39363x33000 

37615422000 

35935708000 
34321059000 
32768526000 

31275373000 
29838848000 

28456486ocx> 
27125924000 
25845016000 
24611547000 

2342347x000 
22279x10000 
21176539000 
201x4079000 
19090244000 

18103480000 
17152474000 
16235959000 
15352572000 
14501328000 

13681X 14000 
X2891007000 
12130062000 
11397411000 
10692416000 

ICO 14 273000 
9362308000 
8736026000 
8134837000 

7558295000 

7005993000 
6477505000 
59725x0000 

54907x5000 

503x820000 



* R«piibU«h«d by kiad pcrai*«Mi of the authcr and of the Actuanal Sjciety ui America. 



American Experience Table. 



25 



(HUNTER'S MAKEHAMIZED.) 

COMMUTATION COLUMNS. TWO LIVES. THREE AND ONE 

HALF PER CENT.— OW. 



Fqiial 
Ages. 


D.. 


j 

i Nx. 

1 


Sji Mil 


R.r 


SS 


6349X0000 


56I9I50000 


142502980000 413760000 


45956X2000 


S6 


581570000 


5037580000 


136883830000 391547000 


4181852OOO 


67 


539860000 


4497720000 


31846250000 369508000 


3790305000 


68 


499780000 


3997940000 


27348530000 347684000 


3420797000 


69 


461250000 


3536690COO 


,23350590000 


326059000 


3O73XX2OOO 


60 


424350000 


31 12440000 


19813900000 


304658000 


2747054000 


61 


388740000 


2723700000 


1 6701 460000 1 283490000 


2442396000 


6t 


354680000 


2369020000 


13977760000 262576000 


2158906000 


68 


332140000 


2046880000 


I 1608740000 242026000 


X 896330000 


64 


291040000 


1755840000 


9561860000 


22x827000 


1654304000 


66 


261440000 


1494400000 


7806020000 3C3o6sooo 


X43247yooo 


66 


233340000 


1261060000 


63II620000 182796000 


1230412000 


67 


206790000 


1054270000 


5050560000 164 I 39000 


1047616000 


68 


I818IOOOO 


872460000 


3996290000 14616IOUO 


883477000 


69 


158450000 


1 714010000 


3x23830000 128940000 


737316000 


70 


136740000 


57727COOO 


2409820000 1 I 2598000 


608376000 


71 


1 16730000 


460539000 


1832547000 97209000 


495778000 


72 


98453000 


362086000 


1372008000 82878000 


39856900* 


78 


81935000 


! 28015 1000 


1009922000 69689000 


31569x000 


74 


671^000 


2x2973000 


72977x000 57705000 


246003000 


76 


54I7IOOO 


158802000 


5x6798000 


46969500 


188396900 


76 


42885000 


1 115917000 


357996000 


375x5400 


X4iq274oo 
X 038x2000 


77 


33265000 


82652000 


243079000 


29345600 


78 


25220000 


57432000 


159427000 


22425200 


74466400 


79 


18646000 


38786000 


IOI995000 


X6704100 


52041200 


80 


13403000 
9338300 


25382500 


63209200 


1209x900 


35337100 


81 


16044200 


37826700 


8480000 


23245200 


88 


6284800 


9759400 


21782500 5742500 


14765200 


88 


4069600 


5689800 


12023100 ! 3739500 


9022700 


84 


2524700 


3165 100 


6333300 ' 2332290 


5283240 


86 


X494OOO 


1671070 


3168160 X386970 


2950950 


86 


838240 


832830 
309350 


1497090 


78x770 


1563980 


87 


443480 


664260 


415320 


7823x0 


88 


219790 


169560 


2749x0 


206630 


366890 


89 


XOI28O 


68275 


10535a 


95548 


160264 


90 


43079 


25196 


37077 


40772 


647x6 


91 


16742 


84541 


1188x1 


15891 


23944 


91 


5905- I 


2549.0 


34270 


56195 


8052.6 


98 


Z868.0 


681.00 


877.99 


1781.8 


2433 1 
05131 


M 


521.21 


15979 


196.99 


498x7 


96 


128.090 


31703 


37203 


122.690 


153136 


96 


28.819 


4.884 


5500 


35-748 


30446 


97 


4301 


.583 


.6x6 


41359 


46978 


98 


•550 


•033 


•033 


•5398 


•5619 


99 


•033 


.000 


.000 .0321 


.032X 



26 



American Experience Table. 



(HUNTER'S MAKEHAMIZED). THREE PER CENT. 
COMMUTATION COLUMNS-ONE LIFE. 



Age , 


I>« 


N, 


S, 


c. 


M. 


R. 


10 


74470 


181170a 


37000410 


55338 


axTox.TX 


'n'^i 72 


11 


71746 


166(1480 
1529708 


35188708 


554^45 


206x^.88 
20098.39 


7iaa6o.oi 


It 

11 


69123 

66505 


3345x476 
31785990 


51549 
497.16 

480.11 


6911X1.68 
670497.80 


14 


64158 


30189627 


i96ox.a3 


650399.41 


IS 


61809 


14656x0 


28650859 


463.63 


i9iai.X3 


630798.18 


16 


5<J544 


I 403801 


27194249 


44771 


18657.40 
18309.78 


61x677.06 


17 


573<>3 


1344257 


25700448 


43233 


59301957 


11 


SS^'o 


1280804 


24446101 


418.0X 


17777.46 


57480979 


19 


5323a 


1231634 


13150297 


40364 


17359-45 


557032.33 


to 


512715 


117840a 


21027663 


39027 


16955.81 


539672.88 


tl 


49395 


112712; 


20740201 


377.33 


16565.54 


52271707 


tt 


47578 


1077728 


1062213d 


36533 


x6x88.ai 


506x51 53 


tt 


45827 


10W150 


18544410 


35321 


i58aa.88 


489963.32 


t4 


44140 


984323 


17514260 


341.96 


1546967 


474x40.44 


tft 


425 »-' 


040 I 83 


i6«;2oo^7 


33154 


15127 71 


458670.77 


tt 


40Q42 


807071 


15589754 


321-43 


14796 17 


44354306 
428746.89 


t7 


3tM'»8 


85^721) 


1460208-? 


311.04 


1447474 


28 


37963 


817^0: 


138353M 
i3oi8o«;? 


302 13 


14163.10 


4x4272.15 


89 


365(10 


77v>333 


294.10 


13860.97 


400109.05 


80 


35201 


742773 


12238720 


285.^^9 


13566.81 


38624808 


81 


33891 


70757J 


11405047 


277.66 


1328X 22 


37a68x 27 


88 


32()i6 


67.^^81 


107^8375 


270.70 


13003.56 


359400.05 


88 


3M^H 


641055 


10114604 


263.55 


1273286 


34639649 


84 


302JO 


6096^1 


^^73639 


257.60 


1246931 


33366363 


86 


2uo88 


570425 


88639S8 


251-53 


12211.65 


32XX94.33 


86 


27iv8g 


550337 


S284503 


245.88 


11960.12 


308982.67 


87 


26928 


522348 


7734226 


241 00 


11714.24 


297022.55 


88 


251J03 


405420 


7211878 


236 82 


1147324 


285308.31 


89 


24012 


469517 


6716458 


232.37 


11236.4a 


27383507 


40 


23054 


444605 


6246941 


228.88 


11004.05 


362598.65 


41 


23027 


4206^1 


58023^6 
5381685 


225.30 


10775.17 


25159460 


42 


22131 


397^''4 


22303 


10549.78 


2408x9 43 


48 


21263 


375493 


4084061 


220.35 


10326.75 


230269.65 


44 


20423 


354230 


4608508 


218. c»9 


10106.40 


219942.90 


45 


19610 


333807 


4254338 


21746 


0887.71 


209836.50 


46 


18822 


314197 


3920531 


216.36 


967025 


19994879 


47 


18057 


295375 


3'»633i 


215 S6 


945389 


190278.54 


48 


1 73 1 5 


277318 


3310059 


216 16 


9238.03 


180824.65 


49 


16595 


260003 


3033641 


216.25 


9021.87 


X71586.62 


50 


15895 


243408 


2773638 


217.26 


8805.62 


X62S64.75 


51 


15215 


227513 


2530230 


218.67 


8588.36 


15375913 


52 


14553 


212298 


2302717 


220.65 


836969 


145x70.77 


58 


13909 


197745 


2090419 


222.74 


8149.04 


X3680X.08 


64 


13281 


183836 


1892674 


225.49 


7926.30 


X2865a.o4 



American Exterikxce Taijle. 



27 



(HUNTER'S MAKEHAMIZED). THREE PER CENT. 
COMMUTATION COLUMNS— ONE LlFE.—CoHg. 



Arc 


ia668 


N« 


S. 


c. 


M, 


R. 


56 


157887 


1708838 
1538283 
1380396 


928.48 


770081 


190795.74 


66 


12071 


239.03 


7472.33 


113094.93 


67 


11487 


145816 


235.89 


794030 


105552.60 


61 


10917 


134329 


1234580 


240.03 


7004.41 


98312.30 
91307.89 


69 


19359 


123412 


1100951 


24459 


6764.38 


60 


9813.7 


"30534 


0768|8.7 


949.16 


6519.79 


84543.51 
78093.72 


61 


9277.7 
87531 


103240.7 


760544.6 


254.29 
258.93 


6970.63 


62 


939630 


6016.41 


71753.09 


6a 


82393 


852099 


666581.6 


263.91 


5757.48 


65736.68 


64 


7735.5 


76970.6 


581371.7 


268.67 


549357 


59979.20 


66 


7241.5 


69235.1 


504401.1 


2733s 


529490 


54485.63 


66 


6757.1 


61993.6 


43S 166.0 


277.40 


4951-55 


49260.73 
44309.18 


67 


6283.0 


55236.5 


373172.4 


280.98 


467415 


66 


5819.0 


48953.5 


317935.9 


283.97 


4393.17 


3963503 


69 


5365.5 


43134.5 


268982.4 


285.94 


4109.90 


35241-86 


70 


4923.2 


37769.0 


225847.9 


286.93 


3823.26 


31132.66 


71 


4493.0 


32845.8 


188078.9 


286.55 


353633 
324978 


27309.40 


72 


4075.6 


28352.8 


1552331 
126880.3 


284.56 


2377307 


78 


3672.3 


24277 2 


280.98 


2965.29 


20523.29 


74 


3284.4 


20604.9 


102603.1 


275.63 


9684.94 


17558.07 


76 


2913.1 


17320.5 


81998.2 


268.13 


9408.61 


1487383 


76 


2560 I 


14407.4 


64677.7 


258.47 


2140.48 


12465 23 


77 


2227.1 


"847.3 


50270.3 


246.86 


1889 01 


10324.74 


71 


1915-4 


9620.2 


384230 


232.89 


1635-15 


8442.73 
6807.58 


79 


1626.7 


7704.8 


28802.8 


217.09 


1402.26 


•0 


1362.2 


6078.1 


21098.0 


199.45 


"85-17 


5405.32 


SI 


1x23.1 


4715-9 


15019.9 


180.36 


985.72 


4220.15 


82 


910.02 


3592.83 


10304.02 


160.22 


805.36 


3234-43 


88 


723.29 


2682.81 


6711 19 


139.52 


645.14 


2429.07 


84 


562.69 


1959-52 


6028.38 


118.76 


50562 


178393 


86 


427.54 


139683 


406886 


98.773 


386.856 
288.083 


1278.312 


86 


316.32 


969.29 


267203 


79.851 


891-456 


87 


227.25 


65297 


1702.74 


69.619 


208.939 


603.373 


88 


158.02 


. 425-72 


104977 


47.466 


145.690 
98.154 


395-141 


89 


10595 


267.70 


624.05 


34.615 


249.521 


90 


68.250 


161.746 


356.349 


24.237 


63.539 


151-367 


91 


42.0-4 


93.496 


194-603 


16.149 


39302 


87.828 


98 


24.652 


51-472 


101.107 


10.239 


23153 


48.526 


98 


13695 


26.820 


49635 


6.1509 


19.913s 


25.3734 


94 


7-145 


13.125 


22.815 


3.4382 


6.7626 


12.4599 


96 


3-499 


5-980 


9.690 


1.8155 


33244 


S.6973 


96 


X.581 


2.481 


3.710 


.9097 


1.5089 


"C 


97 


•625 


.900 


1.229 


:f^ 


.5992 


98 


.221 


.275 


•329 


.2128 


.2643 


99 


•054 


•054 


.054 


.0520 


.0530 


.0520 



28 



American ExrEkiENCE Table. 



(HUNTERS MAKEHAMIZED). THREE PER CENT. 
COMMUTATION COLUMVS-TWO LIVES. 




55 
56 
67 
68 
69 

60 
61 
t2 
68 
64 

66 
66 
67 

68 
69 

70 
71 
72 
78 
74 

75 
76 
77 
7H 
79 

80 
81 
82 
83 
84 

86 
86 
87 
88 
89 

90 
91 
«3 
93 
94 

95 
96 
97 
98 
99 



815620 
762750 
711480 
661850 
618790 

567800 
6SSS40 
478880 
487050 
896790 

358160 
sn2f}0 
286040 
•^52710 
221800 

191920 
164630 
189580 
116680 
961820 

778950 
619660 
482980 
367%0 
273360 

197450 
138240 

934870 

608290 

879200 

225490 
127180 

675830 

836570 

155860 

66612 

26018 
9219.8 
2930.6 
821.67 

802.92 

42.692 

6.880 

.883 

.051 



842604 
761042 
684767 
613619 
547434 

486055 
429325 
377091 
329203 
285498 

345819 
21U003 
177883 
149279 
124008 

101878 
826860 
663230 
522700 
406016 

OuwDo4 

231989 

170028 

121725 

84929 

67593 
37848 
240239 
146753 
85923 

48008 

25454 
12741 
508-/7 
26170 



106851 
39289 
18225.5 
4006.7 
1075.10 

253.43 

50.509 

7.817 

.937 

.054 



6714381 
5871777 
5110735 
4425968 
3812349 

3264915 
2778860 
2349535 
1972444 
1643241 

1357743 
1111924 

901921 

724038 

5.-4759 

450751 

3488732 

266i872 

1999642 

1476942 

1070926 
761042 
529053 
359030 
237305 

152376 
94788 
569849 
829110 
182858 

96485 
48482 
22978 
102368 
42541 



168709 
67858 
18610.1 
5893.6 
1887.85 

812.75 

59.317 

8.808 

.991 

.054 



20133 
29045 
!28901 
128776 
!28617 

|'28443 
28238 

127881 
27537 
270r2 



20525 
,25808 
124989 
24053 
22936 

'21704 
20310 
! 18781 
;i7I49 
1 15437 

13660 
118G2 
10097 

ft3875 

67945 

53466 
40721 
29939 
21136 
14268 

91785 
55844 
31957 
1709.3 
84697 

38658 

16036 
60B0.9 
2023.6 

504.81 

154.32 

34.569 

5.796 

.804 

.052 



570204 
541071 
512026 
483125 
454349 

42573S 
397289 
369061 
341170 
313688 

286561 
260036 
234228 
209289 
185186 

162250 
140546 
120236 
101455 
84306 

68869 
, 55209 
I 43347 
I 83250 

248625 

180680 
127214 

86493 

56554 

85418 

211502 
119717 

63873 

31<>16 

148226 

63529 

2IH71 
8K34.9 
2814.0 
790.35 

195.54 

41.221 

6.652 

.&% 

.052 



6470386 
6900182 
5359111 
48470tv5 
4863960 

8900G11 
3483879 
3066590 
2n7589 
2876369 

2062736 
1778175 
1516189 
1281911 
1072672 

887486 
725286 
684690 
464454 
362999 

278698 
209624 
154615 
111268 
780178 

531558 
350878 
228659 
187166 
80612 

4519S9 
240487 
120720 

56847 

249810 

1010R4 
37556 
12883.6 
3848.7 
1084.67 

244.82 

48.781 

7.560 

.906 

.052 



American Experience Table. 



29 



(HUNTER'S MAKEHAMIZED), THREE PER CENT. 
COMMUTATION COLUMNS— TWO LIVES. 



Equal 
Ages. 


D„ 


N„ 


s» 


c„ 


M„ 


1 

1 K» 


10 


74530 


153390 


2714959 


1 10390 


298518 


7451727 


11 


71254 


145937 


2561569 


105560 


287479 


7153209 


It 


68122 


1388116 


2415631Q 


1012:0 


276923 


6865730 


It 


65127 


1399904 


22768203 


96788 


2667974 


65888070 


14 


62262 


1254867 


21368209 


92813 


2571 186 


63220096 


It 


59530 


1 192605 


20113342 


88988 


2478373 


60648910 


16 


56896 


1133085 


18920737 


85308 


2389385 


58170537 


17 


54386 


1076189 


17787652 


81589 


2304077 


55781152 


It 


51986 


102 I 803 


16711463 


78413 


2222488 


53477075 


19 


49688 


969817 


15689660 


74913 


2144075 


51254587 


to 


4749a 


920129 


14719843 


72031 


2069162 


49110512 


tl 


45388 


872637 


13799714 


69099 


1997131 


47041350 


tt 


43375 


827249 


12927077 


66376 


1928032 


45044219 


2S 


41448 


783874 


12099828 


63608 


1861656 


43116187 


t4 


39605 


742426 


11315954 


61134 


1798048 


41254531 


t5 


37840 


702S21 


10573528 


58750 


1736914 


39456483 


26 


36150 


664981 


9870707 


56589 


1678164 


37719569 


t7 


34531 


628831 ' 


9215726 


54329 


1621575 


36041405 


28 


32982 


594300 


8586895 


52237 


1567246 


34419830 


29 


3M99 


561318 


7992595 


50550 


1515009 


32852584 


80 


30076 


529819 


7431277 


48559 


1464459 


31337575 


81 


28715 


499743 


6901458 


46834 


1415900 


2')873ii6 


32 


27410 


471028 


6401 715 


45318 


1369066 


28457216 


83 


26158 


443618 


5930687 


43705 


1323748 


27088150 


84 


24959 


417460 


5487069 


42362 


1280043 


25764402 


86 


23809 


i 
392501 


5069609 


41059 


1237681 


24484359 


86 


22705 


3686r>2 


4677108 


39628 


11Q6622 


23246678 


87 


21647 


345987 ' 


4308416 


38638 


1156994 


22050056 


88 


20631 


324340 ' 


3962429 


37480 


II 18356 


208^^3062 


39 


19655 


303709 


3638089 


36542 


1080876 


19774706 


40 


18717 


284054 


3334380 


35566 


1044334 


18693830 


41 


17816 


265337 


3050326 


34675 


1008763 


17640496 


42 


16950 


247521 


278493() 


34058 


974093 


1^3640728 


43 


16116 


230571 


2537468 


33229 


940035 


15666635 


44 


15314 


214455 ; 


2306897 


32552 


906806 


14726^300 


45 


14543 


199141 


2092442 


32092 


874254 


13819794 


46 


13798 


184598 


1893301 
1708703 


3i5<^ 


842162 


12945540 


47 


13081 


170300 


31096 


810656 


12103373 


4t 


12389 


1577 I 9 


1537003 


30732 


779560 


11292722 


40 


11721 


145330 


I 380 I 84 


30338 


748828 


10513162 


to 


1 1076 


133609 


1234854 


30075 


718490 


9764334 


tl 


I04S3 


122533 


110124s 


29844 


688415 


9045844 


tt 


98501 


1120803 i 


9787116 


29601 


658571 


8357429 


tt 


Q2672 


1022302 1 


8666313 


29468 


628970 


7698858 


54 

1 


87026 

1 


929630 


7644011 


29298 


599502 


7060888 



30 



American Experience Table. 



(HUNTERS MAKEHAMIZED), FORCE OF MORTALITY. 



Age. 



10 
11 
IS 
It 
14 

16 
16 
17 
II 
19 

SO 
SI 

ss 

ss 

S4 

S6 

S6 

n 

SI 
S9 

SO 

II 

IS 



00769 



00770 
0(^72 
00773 

0077s 
00776 

00778 

00781 

00783 

00786 
00788 



00792 

00795 
00799 

00804 
00809 
00814 
00821 
00827 
00835 
00843 
00853 



Age. 



88 

14 

86 
16 
87 

SI 

19 
40 
41 
4S 

48 
44 
46 

46 
47 

48 
49 

60 
61 
68 
68 
64 



.00863 
.00875 
.00888 
.00902 
.00918 

•00935 
•00955 
.00977 
.01001 
.01028 

.01058 
.01091 
.01128 
.01169 
.01215 

.01265 
.01321 
.01384 

.01453 

.01531 
.01617 

.01712 



Age. 


^^x 


Age. 


66 


.01818 


77 


66 


.01936 


71 


67 


.02066 


79 


61 


.02212 


10 


59 


■02373 


11 


60 


•02553 


IS 


61 


.02752 


18 


68 


.02974 


S4 


68 


.03220 


86 


64 


.03494 


86 


66 


.03798 


87 


66 


.04136 


88 


67 


.04512 


89 


68 


.04929 


90 


69 


•05393 


91 


70 


.05908 


9S 


71 


.06481 


98 


72 


.07117 


94 


78 


.07824 


96 


74 


.08610 


96 


76 


•09483 


97 


76 


•X0453 


98 

1 



Z'. 



.11531 
.12729 
.14060 

.15540 
.17183 

.19010 
.2IQ40 

•23a95 
.25801 

.28586 

.31681 
.35120 
.38941 
.43187 
.47905 

.53149 

.58975 

.65449 
.72043 

.80637 

.89521 

•99392 



TABLIi SHOWING THE ADDITION TO BE MADE TO THE 
YOUNGER OF TWO LIVES IN ORDER TO OBTAIN 
THE EQUIVALENT— EQUAL AGES 



Difference 


Addition to 


Difference 


Addition to 


Difference 


Addition to 


of Ages. 


Youn};er Ages. 


of Ages. 


VounKcr Ages. 


of Ages. 


Younger Age%. 




0.513 


11 


12.751 


86 


28.660 




1053 


19 


13.626 


86 


39637 




I.618 


SO 


14-513 


87 


30.616 




2.209 


81 


15410 


81 


31598 




2.826 


88 


16.316 


89 


32-581 




3-467 


28 


17.250 


40 


33-5<^5 




4132 


24 


18.153 


41 


.34552 




4.820 


26 


19.083 


48 


35.539 




5.530 


26 


20.019 


48 


36.528 




6.261 


27 


20.961 


44 


37.518 




7.013 


28 


21.909 


46 


38.509 




7.784 


S9 


22.862 


46 


39501 




8.572 


80 


' 23.819 


47 


40 493 




9378 


31 


24.781 


41 


41.487 




X0.200 


82 


25-74«> 


49 


42.481 




11.037 


38 


26.714 


60 


43475 


17 


II.8S7 


34 


27.686 







AMERICAN EXPERIENCE TABLE. 

Select and Ultimate. 

INTRODUCTION. 

This table assumes that the benefits of fresh medical 
selections endure for five years and that the ultimate mor- 
tality, to be expected after five years, is as per the Ameri- 
can Experience Mortality Table, while the mortality 
rates during the five years bear the following ratios to the 
ultimate mortality rates at the same ages, viz. : 

The first year after admission, . . 50 per cent 

The second year after admission, . . 65 

The third year after admission, . .75 

The fourth year after admission, . . 85 

The fifth year after admission, . . 95 

The tables were computed especially for this book, the 
work being done by Scott's Five Place Logarithms through- 
out, and are not more accurate than this method admits 
ot, great accuracy not being considered to be important. 



<< 
* < 



3^ 


x^ 


LMI:KU AN 


■ hXl'KRIl 


•INCli 1 ABLE. 








SELECT AND ULTIMATE. 






[x] 


IM 


U.]«-i 


1 

i iM + a 

1 


1M + , 


l[.] + 4 


!.+• 


20 


91690 


91331 


90866 


90328 


89716 


8903a 


SI 


90968 


90611 


9014s 


89607 


88996 


88314 


ts 


90246 


89890 


89425 


88887 


88277 


87596 


28 


89528 


89172 


88707 


88170 


87561 


86878 


24 


88808 


88452 


87989 


87452 


8684a 


86160 


25 


88089 


87734 


87271 


86734 


86125 


85441 


26 


87370 


87014 


86551 


86014 


85404 


84721 


27 


86650 


86296 


85832 


85294 


84684 


84000 


28 


85933 


85578 


85114 


84577 


83965 


83277 


29 


85212 


84857 


84392 


83853 


83240 


82S5I 


80 


84491 


84136 


83670 


83130 


82514 


81822 


81 


83768 


83412 


82947 


82404 


81786 


8lOCX3 


88 


83041 


82684 


82215 


81671 


810^1 


803-3 


88 


82317 


81958 


81487 


80941 


80316 


7961 1 


M 


81585 


81225 


80753 


80203 


79574 


78862 


86 


808 :;o 


8048S 


80013 


70458 


78822 


78106 


86 


80111 


79746 


79268 


78708 


78067 


77341 


87 


793*54 


78997 


78515 


779s I 


77302 


76567 


88 


78612 


78242 


777>S 


77184 


76528 


7573a 


89 


77852 


77478 


76984 


7640*^ 


75741 


74985 


40 


77081 


76704 


76206 


75621 


74945 


74173 


41 


76301 


75919 


75414 


74819 


74131 


73345 


42 


75509 


75122 


74609 


74003 


73301 


72497 


48 


74707 


74314 


73790 


73173 


72454 


71627 


44 


73884 


73484 


72951 


72319 


71581 


70731 


45 


73045 


7^637 


72092 


71443 


70^384 


69S04 


46 


72186 


71768 


71208 


70541 1 


6q754 


68842 


47 


71302 


70875 


70298 


69607 1 


6S7gi 


67841 


48 


70390 


69950 


69354 


68637 i 


67789 


66797 


49 


69445 


68991 


68372 


67627 


66742 


65706 


50 


68462 


67991 


67349 


66572 


65648 


64-63 


51 


67440 


6'395o 


66281 


65470 j 


64502 


63364 


52 


66374 


65864 


65164 


64315 


63299 


62104 


58 


65257 


64725 


63993 


63102 


62035 


60779 


54 


64088 


63532 


62765 ; 


61830 


60709 


59385 


55 


62861 


62277 


61472 


60490 


59310 


57917 


56 


61572 


6fXy59 


60113 


59080 


57839 


56371 


57 


60213 


59570 


58683 , 


57594 


56287 


54743 


58 


58783 


58109 


57174 1 


56030 


54655 


53030 


59 


57277 


5656«) 


55588 ' 


54384 


52937 


51230 


60 


55tN2 


54948 


53916 ' 


526^1 


51133 


49341 


61 


54022 


53-41 


52159 


50S31 


49238 


47361 


62 


52266 


5M43 ; 


50313 


48922 


47253 


45291 


68 


50420 


495'M ■ 


48376 


46920 


45177 


43133 


64 


484S4 


47=590 


46349 . 


44830 


43015 


40890 


65 


46458 


45526 


44232 


42652 


40767 


38569 


66 


44341 


43373 


42030 


40391 


38441 


36178 


67 


42137 


41133 


3974-t 


38052 


36047 


33730 


68 


39843 


38807 


37376 


35639 ■■ 


33596 


31243 


69 


37404 


3*5430 


34f"-'63 , 


33188 


31108 


28738 


70 


3507a 


33'>84 


324^/0 


3-67.3 

1 


28002 


26237 



American' Experience Tabi 
select and ultimate. 



(.1 


dM 


J[.l». 


d[,l4.. 


ell. If. 


dUl*. 


*,*„ 


to 


359 


4<S5 


53S 


6„ 


684 


718 




357 


466 


S3* 




6Bj 


718 




356 


405 


53S 


am 


681 


7>e 




3S6 


46S 


S37 


609 


683 


718 




3S6 


463 


537 




GBi 


719 


n 


355 


463 


537 


609 


S* 


7!» 


t» 


3S6 


463 


S37 




^3 


7M 


w 


3S4 


404 


S3B 




684 


S 




355 


464 


537 


6ia 


688 




3SS 


463 


539 


613 


689 


739 


10 




466 


540 


616 


69" 


73a 






465 


543 


6ie 


696 


737 


at 


357 


469 


IS 




698 




ti 


359 




toS 




749 


H 


3-^ 


47a 


550 


<«9 


71* 


756 


IS 


3&" 


475 


555 


636 


716 


7«S 


H 


365 


47S 


|55 


641 


7^6 


774 


n 


367 


4& 


564 


649 


73S 


785 




370 


487 


571 


656 


746 




u 


374 




57» 


66s 


756 




w 


377 




SBS 


67S 




838 


41 


38i 


5°.^ 


595 




^ 


848 


u 


3*7 




6o5 


7M 


Bq4 


870 




353 




617 


7'9 


te7 


896 








63» 




Bso 


9J7 


« 


s 


■^'n 


ai 


i 


880 


96J 




417 




691 




95" 


1044 




440 


.^96 


7'7 


84B 


993 


1091 


t> 


454 


610 


745 


sa; 


■^ 


"43 






64= 


777 


{04 


"99 








III 


96B 


1138 


ti6a 




S'o 




S49 


lore 


"95 


I3JS 


»* 


53= 


73= 


89. 


1007 


US6 


139+ 


t4 


556 


767 


?^ 


1»I 


1334 


1468 




584 


805 




IS 


1546 




613 


846 


iS 


1841 


162S 




643 


887 


1307 


1544 


I7'3 




674 


93? 






1635 


■Boo 


M 


709 


gSl 








1889 


M 


;s 


1032 


:^i 


IS"! 


187T 


1980 

K>70 


t* 


BlB 




130' 


,6(x, 


196J 


Si:B 




856 




1456 




"44 


=>A3 


K 


8« 
93= 


IV^ 


1519 
1580 


.88; 


i:s 


=321 


w 


96S 


■34j 


1639 




«63 


^8 


tr 






169J 




a3>7 


3487 


il 




'4.1" 


1737 




3353 


3SOS 


l> 




i4^i 


"774 








T» 


.088 




■ 797 


stvl 


^y-3 


3476 



34 



American Ex per i en (E Table. 



SELECT AND ULTIMATE. 



[x] 


pM 

1 


Plil + i 


P[i] +i 


pLiUj 


pUI+4 


Pi + & 


20 


996097 


,994894 


994070 


•993236 


.992390 


991935 


21 


99607a 


.994861 


.994031 


.993191 


.992338 


991870 


22 


996047 


994827 


.99399a 


.993145 


.992276 


991803 


2a 


996021 


994793 


•993951 


.993089 


.992213 


991736 


24 


995994 


-994758 


■99390a 


.993033 


•992149 


991655 


25 


995967 


994715 


.99385a 


.992976 


.992072 


991573 


16 


995935 


994672 


.993802 


.992907 


.991994 


991490 


27 


995901 


994628 


993741 


.992837 


.991915 


991393 


28 


995868 


994576 


993680 


.992766 


.991823 


991282 


29 


995827 


994522 


993617 


.992684 


991718 


991 169 


ao 


995786 1 . 


994468 


993545 


.992590 


.991611 


991054 


SI 


995745 


994405 


.993461 


•992494 


.991501 


9909IX 


22 


995696 


994333 


.993377 


.992396 


•991365 


990766 


aa 


995641 


994260 


.993290 


.992274 


.991228 


990592 


84 


995584 


994185 


•993183 


.992151 


.991062 


990414 


85 


995527 


994092 


.993074 


.992003 


.990893 


990206 


86 


995455 


993998 


992944 


.991852 


.990696 


989992 


87 


995383 


993885 


.992810 


.991675 


.990492 


989748 


18 


995296 


993769 1 


.992654 


•991493 


.Q90261 


989483 


82 


995207 


993634 


•992494 


.991286 


.990009 


989171 


40 


995103 


993495 


.992311 


.991061 


.989712 


988837 


41 


994996 


993336 1 


-9921 12 


•990795 


•98939s 


988438 


42 


994874 


993164 


991878 


.990511 


.989016 


988000 


43 


994741 


992961 ' 


<)9i628 


.900172 


.988600 


987491 


44 


994585 


992744 ; 


991328 


.989800 


.988116 


986894 


45 


994418 


992485 ■ 


.(/)IOOO 


.989367 


•987549 


986219 


46 


994219 


992200 


9s;o6i8 


.g8886o 


.986008 


985459 


47 


.994000 


.991869 


990170 


.9SS2S6 


.986186 


984611 


48 


•993745 


991481 


^89^:64 


.987640 


.985380 


983667 


40 


9<>3447 


991042 


98901^4 


.986919 


.984484 


.982604 


50 


.993109 


.990548 


.988458 


.986117 


•983474 


981429 


61 


.992729 


989997 , 


087750 


.985213 


.982358 


980115 


52 


•992305 


989384 


•9P6953 


.984215 


.081109 


970665 


58 


991833 


980693 


.986072 


.983098 


.979732 


977064 


54 


.991302 


987029 


.985086 


.981865 


.978211 


.975280 


55 


990714 


9S7075 


9331 KX) 


.980^04 


.976516 


973507 


56 


99C057 


986132 


(.»8j798 


. 07898 :i 


.(,74642 


071 120 


57 


989332 


985092 


481460 


.y773il 


.972564 


.908708 


58 


980532 


983^32 


. 971^980 


•975452 


.070273 


966057 


59 


Q87O40 


982050 


.978340 


.973402 


•9'J7754 


.963127 


60 


986653 


981228 


•970531 


.971143 


9^'497l 


950871 


61 


.985560 


979660 


974543 


.0680^8 


.f/-'i877 


956293 


62 


9S4354 


977937 


•972345 


05 "90 


.058478 


•952353 


68 


983028 


9/6033 


'.'69903 


.96.<j849 


•954735 


947998 


64 


.98'i563 


9739 1 'J 


967220 


.959500 


.05059S 


943238 


65 


979935 


.971590 


W64265 


•955798 


.946076 


038007 


66 


.978146 


969029 


.(>6o9<>8 


•951752 


.041107 


932335 


67 


970176 


.966199 


957428 


.047^06 


•935718 


.926267 


68 


•973999 1 


.963105 ; 


9535'^5 


.942685 


• 92^^/954 


.919822 


69 


.971619 1 


•95970.=; 


•949251 


•937.P7 


.yi2^iU 


.912.772 


■:o 


.969003 J 


.956018 i 


.944700 


.9318.19 


•917323 


ClOS^Q 



Amkricax Expkriexce Taiu.k. 



35 



SELECT AND ULTIMATE. 



[xJ 


.W 


.60 


.7.") 


1 


.95 


1.00 


qUl 


ql.li-. 


ql.J+i 


qUI+i 


qlil +4 


q.+ 6 


20 


•003903 


.OOCI06 


.005030 


.006764 


.007610 


.008065 


11 


.003928 


.005139 


• .005969 


.006809 


.007662 


.008130 


22 


•003953 


•005173 


.oorxK)8 


.006855 


.007724 


.008107 


23 


.003979 


.005207 


.006049 


.006911 


.007787 


008.64 


24 


.C04006 


.005242 


.006098 


.006967 


.007851 


.008345 


25 


.004033 


005285 


.006148 


.007024 


.007928 


.008427 


26 


.004065 


.005328 


.006198 


.007093 


.oo8o<56 


.008510 


27 


.00.^099 


.OOS372 


.006259 


•007163 


.008085 


.008607 


28 


.CX34132 


.005424 


.006320 


.007234 


.008177 


.C08718 


29 


.004173 


.005478 


.006383 


.007316 


.008282 


.008831 


SO 


.oa|2i4 


•005532 


.006455 


.007410 


.008389 


.0089.46 


«1 


•004255 


•003595 


.006539 


.007506 


.008499 


.009089 


22 


.004304 


.005667 


.006623 


.007604 


.008635 


.009234 


«a 


.004359 


.005740 


.006710 


.007726 


.008772 


.009408 


24 


.004416 


.005815 


.006817 


.007849 


.008938 


.009586 


85 


•004473 


.005008 


.006926 


.007997 


.009107 


.009794 


26 


•004545 


.006002 


.007056 


.008148 


.009304 


.010008 


27 


.004617 


.006115 


.007100 


.C08325 


.009508 


.010252 


28 


.004704 


.006231 


.C07346 


.008507 


•009739 


.010517 


29 


.004793 


.006366 


.007506 


.008714 


.0099QI 


.010829 


40 


.004897 


.006505 


.007689 


.008939 


.010288 


.011163 


41 


.005004 


.006664 


.007888 


.COry205 


.010605 


.011562 


42 


.003126 


.006836 


.008122 


.009489 


.010984 


.012000 


48 


.005259 


.007039 


.008372 


.009828 


.011400 


.012509 


44 


•005415 


.007256 


.008672 


.010200 


.011804 


.013106 


45 


.005582 


•007515 


.009000 


.OIC633 


.012451 


.013781 


46 


.005781 


.007800 


.009382 


.011140 


.01 3092 


. 014:^41 


47 


.006000 


.008131 


.009830 


OI17I4 


•013S14 


.015389 


48 


.006255 


.008519 


.010336 


.012360 


.014620 


•016333 


49 


•006553 


.008058 


010906 


.013081 


.015516 


.017396 


50 


.006891 


009452 


.011542 


.013883 


.016526 


.018571 


51 


.007271 


.010003 


.012250 


.014787 


.017642 


.019885 


52 


.007695 


.010616 


.013047 


•015785 


.018891 


.021335 


58 


.008167 


.011307 


.013928 


.010902 


.020268 


022936 


64 


.008698 


.012071 


.014914 


.018135 


.a2i789 


.024720 


56 


.009286 


.012925 


.016001 


.019496 


.023484 


.02WJ93 


56 


.009943 


.013868 


.017202 


.021012 


.025358 


.0.28880 


57 


.010668 


.oi4c)o8 


.018540 


.022689 


.027436 


.031292 


58 


.011468 


.016068 


.020020 


.024548 


.029727 


•^^33943 


59 


.012360 


.017350 


.021660 


.026S98 


.032246 


.036873 


60 


.013347 


.018772 


.023469 


. .028852 


.035029 


.040129 


61 


.014440 


.020340 


.025457 


.031342 


.038123 


.043707 


62 


.015646 


.022063 


.027655 


.034110 


.041522 


.047^47 


68 


.016972 


.023967 


.030097 


.037151 


.045-65 


.052002 


64 


.018437 


.026084 


.032780 


.040500 


.049.402 


.030762 


65 


.020065 


.028410 


.035735 


.044202 


•053924 


.061993 


66 


.021854 


.030971 


.039002 


.048248 


^058803 


.067605 


67 


.023824 


.033801 


.042572 


.052694 


.064282 


■0737S3 


68 


.026001 


.036895 


.046495 


.057515 


.070046 


.080178 


69 


.028381 


.040295 


.050749 


.062673 


.076169 


.087028 


70 


.030997 


.043982 


.055300 


.068151 


.082677 


.C94J71 



American Experience Table. 



SELECT AND ULTIMATE. 
THREE AND ONE-HALF PER CENT. 



Age. 



to 

tl 



t4 
U 
U 

17 
U 
t9 

SO 
SI 
St 

ss 

•4 
96 
U 

S7 
SS 
S9 

40 
41 
4t 
4S 
44 
46 
46 
47 
4S 
49 
M 
«1 
kt 
6S 

S4 

66 
66 
67 
68 

69 
60 
61 
68 
63 
64 
6S 
66 
67 
68 
69 
70 



m.i 



46080 
4417X 

423^9 
4058a 

38894 
37274 
35720 
34228 

32797 
31423 

30102 

28836 

27618 

26452 

25330 

24253 
23219 

22224 
21270 
20352 
19469 
18620 
17804 
17019 
16262 

15534 
14832 

14155 
13501 
12869 
12258 
11667 
11094 

»0539 
loooo 

9476.8 
8968.5 
8474.0 
7993.0 

75249 

7069 2 
6625 4 

6193-3 
5772.4 
53632 
49652 
45788 
4204.0 

38407 
34920 
31560 



DU] + , 



44348 
42510 
40746 

39054 
37428 

35869 

34372 

32935 

31557 

30233 
28962 

27742 

26570 

25446 

24366 

23328 

22332 

21374 

20454 

19569 
18718 

17900 

17114 

16356 

15627 

14925 
14247 

13594 
12963 

12353 
1176a 

II191 

10637 

10099 

9577.9 
9071 -3 
8579 I 
8100. 1 

7634.1 
71806 

67389 
6|o8.8 

5890.2 

5482.6 

5086.3 

4701.1 

43273 

3965- 1 

36143 
3278.2 

29547 



DM>, 



42629 
40861 

39164 
37536 
35973 
34473 
33032 
31650 

30324 
29050 

27828 

26654 

25526 

24444 
23405 
22406 

21447 

20525 
19639 

18787 
17968 
17180 
16421 
1569a 
14989 
14312 
13658 
13027 
12418 
1 1 828 

11257 
10704 
10168 
9647.4 

9142.4 

8651.3 
81739 
7709.6 

72574 
6817.4 

6388.8 

5971-6 

55654 
5170 2 

4786.1 
4413.1 

4*^5 1-5 
3701.6 

3363- 3 
30398 
2729 2 



DM*: 



40944 

39244 
37612 

36047 

34545 
33102 
31718 

30389 
29114 

27889 

26713 

25585 
24500 
23460 
22460 
21499 

20575 

19688 
18836 
18015 
17227 
16468 
15737 
13035 
14357 
13703 
13073 
12463 
11874 

11304 
10751 
102 1 6 

9695- 
9191. 



D[.l+, 



D.+, 



Aee 



8701.6 
8225 1 
7761.8 

7310-7 
6871.6 

6444.2 

6028.0 

5622.8 

5228.5 

4845.1 

4472.7 

4"! 5 
3761.8 

3424.2 

3098.6 
2787.9 

2491 1 



39292 
37658 
36091 
34588 
33144 
31759 
30428 

29151 
27926 

26749 
25619 

24534 

23491 
22491 

21530 
20605 
I9718 

18864 
18044 
17254 
16495 
15764 
15061 

14383 
13730 

13099 
12490 

11901 

11331 
10779 
10243 

9724.1 
9220.2 

8730.5 

8254.9 
7792.0 

7341.8 
6903.2 

6476.3 
6060.7 

5656. 1 

5262 4 

4879.4 

4507.3 
4146.5 
3796.9 

34592 

3134 1 
2822.1 

2524.8 

2242.8 



37674 


85 


. 36106 


86 


34601 


87 


33157 


88 


3177a 


89 


30441 


SO 


29164 


SI 


27938 


S8 


36761 


SS 


25630 


S4 


24545 


S6 


23503 


S6 


33501 


S7 


21540 


S8 


20616 


S9 


19727 


40 


18874 


41 


18053 


48 


17264 


4S 


16504 


44 


15774 


46 


15070 


46 


14392 


47 


13739 


48 


13108 


49 


12499 


60 


11909 


61 


11339 


68 


10787 


6S 


10253 


64 


9733.3 


65 


92295 


66 


8740.2 


67 


8364.4 


68 


7801.9 


69 


73S1 7 


60 


6913.5 


61 


6486.8 


68 


6071.3 
5666.8 


6S 


64 


52734 


66 


4890.6 


66 


4518.7 


67 


41579 


68 


3808.4 


69 


3470.7 


70 


3145.4 


71 


2833.4 


78 


2535.7 


73 


2253.6 


74 


1987.8 


76 



American Experience Table. 



SELECT AND ULTIMATE. 
THREE AND ONE-HALF PER CENT. 



I'] 


NUI 


W[.l-, 


Km*, 


Ml.]*. 


M[0.. 


N.*. 


*ce 


H 


983^07 


9373*7 


892979 


850350 


809406 


770114 


~ 




930884 


e9>713 


850203 


809343 


770098 


733440 






81BJ86 






770037 


733425 


696334 


IT 




B-i-i'^yi 




769903 


732367 


690330 


661732 


» 




8o8s59 




732237 


696164 


661719 


6J8375 


M 


*S 


769"BI 


73x07 


69613S 


661665 


638563 


596804 


90 




731633 


6^59 '3 


66.54. 


638509 


596791 


566363 








661314 


638389 


596739 


566350 


537199 


M 


H 


^ 


638183 


59^26 


566393 


537188 


509163 






596433 


566.89 


537139 


509250 


483501 


H 


M 




505093 


537031 


509203 


482490 


45687. 


W 






536842 


509100 


483416 


45686. 


432327 




u 




S089II 


482341 


456815 


433315 






» 




482164 


456718 




4086.4 


386333 






48.874 


456544 




408773 


3863.3 


364783 




It 


456=58 




4086J7 


3S627' 


364772 


34t'67 




M 


43'73' 


4085" 


380180 


364733 


344158 


334440 


" 


IT 


408141 


386017 


3646-13 


34-li'8 


324430 


305566 


41 




385756 


3644B6 


3+*032 


324393 


305557 


2875 '3 


ts 


u 


364"? 


343875 


334306 


3055.0 


a87;o4 


370^50 


44 




3436^" 


331150 


30543s 


287467 


=70240 


353745 


n 




3a390+ 


305:84 


387384 


270204 


353736 




it 




3f>5°39 


287335 




2537™ 


337963 








38699s 


309976 


«3630 


33792 8 


ai3893 


2085.0 


4( 




!>6q736 


S53474 


337847 


323858 










353236 


337702 




308465 


194700 


181663 




t« 


237465 


333633 


308386 


inc 


1B.6SS 


169.55 


n 




MI39S 


»aMo 


.94646 


169.56 


157255 
1459.6 


it 






194502 


181539 


169131 


157=47 






194161 


18.392 


'69039 


'57=11 


145907 


135128 








.68839 


157.37 


.45870 


135119 


134876 






168644 


156977 


1457B6 


1350SJ 


,34866 








156728 


■45634 


134997 


134S19 


115133 


1059.3 




(1 


'■I53B0 


13484. 


I»4743 


11509s 


105904 


97173 


ii 


u 


13*585 


■.a,i;S5 


1.5007 


105865 


SJ3 


SEgoS 


a 




12432a 


]oltl 


105774 


971=3 


S.ID6 






"4SB> 




97033 


88859 


B1097 


73755 






"^11? 




88765 


8105S 


73744 


66S41 








B0960 


73703 


66831 


60355 






883.. 


S07S6 


7360; 


6678! 


60344 


54184 




CO 


8c497 




6O689 


60300 


54373 


4S(5l6 




<1 


73134 






5432B 


4860s 


43343 




«■ 


66209 


60016 


s;s 


48561 


43333 


38-153 






5W<' 


53939 


43286 


384+1 


33934 


«■ 




S3631 


4836a 


43' 83 


38396 


33923 


=9776 


ea 




4795* 




36=90 


33''77 




35968 






+2676 


38097 


33770 


29718 




31497 




ST 


37781 


33577 


396.3 






19352 






33'57 


39416 


25803 


32J39 


19340 


165.8 




u 


agios 
=5303 


25613 
32147 


32335 
.919a 


\tTs 


16507 
13973 


13983 
11739 


T6 



American Experience Table. 



SELECT AND ULTIMATE. 
THREE AND ONE- HALF PER CENT. 



i454(wSi 13695878 

1379566" lagS&t^o 

138M)3j4 111163^1 

Illtdija I13839IS 

II3B3 33 10687385 

10687393 ""■ 



S[.l 


SU*. 


i736oaii 


101 66 4 


.6375678 


1^438794 


>5537894 


4645608 


14544730 


IjOOjl'I 


13694376 




i2ga^ii 


" p^^^ 






Ii38as4<; 








"IS 




8799^84 


1 


8232941 




7*.5q' 




7180305 


0704601 


670+084 


62478 6 


634714a 


51 s-; 


5814943 


^ 


5406 ";i 




501984S 




46,508. 




431093' 




39B0505 




3680957 




3393451 








1869467 




163149a 


a4<*y 7 


1408593 


23005 


2200075 


200,84 


200 »8q 


1B24.42 


18J3616 


6 49 


I6>V439 




14971O8 


.3=. 88 


llfUao 


12 66,3 




00 64 


.09300 


O".*!! 


97603 




870^97 




771903 


68459. 


683971 


60144 


6oa844 




529069 




462.K* 




40iew 




347'^ 




2989.2 




"5 564 






83343 


183183 


1^40 8 


I53ia3 


.23.20 



10025669 
9307 '07 
8800306 



9397280 

880048. 

8234.. 7 

on 39,= 76969" 

7696764 7187664 

7.8 50. 670^160 

6^5012 6248194 

6148147 5815969 

58.5811 5407144 

5,C7oa, 5120835 

SOJ06S 46i;6o42 

4655909 43 '8 7 

43.1743 3^7437 

39B7306 368187. 

368.743 3194359 

3394331 llM 10 
3ia3986 

3409369 , . 

32008^7 3006311 



2870,66 
3632394 

1200983 



S[.l.. 


S.*. 


1695058 


11886551 


3S80S36 


.2116438 


22 6421 
3810=14 


ias^ 




10015931 


91 34, 


sag 




» 


7 .1^^ 1 


7.87718 


7 5 


6705228 


0028 


6248357 


OijSj) 


5816030 


,8 0. 


5407106 


540 


5020883 






4 joo^a 


4311934 


4 I 24 


3987494 




36B.927 


s 


339+414 




313464 


■* 


=631447 


JJ 


2409545 




230.03, 




3006264 




1824600 


!>i45j2 


1655436 


16 4,3 


.498.S1 


1493 7 


.35336= 


'■' 1 






97 . 


87.106 


87 f 


774033 




68,.24 




6040.8 




530164 


53' 3 


463411 


46^.3 


401068 


^r J 


^^ 




1,681s 




118373 




1546S3 




18695 


a aj 


.06198 




86B46 


808 


L703>8 


-0318 


56*46 



American Exterience Table. 

select and ultimate, 
three and a half per cent. 



t^ 




M[.l*, 


.■,,.. 


MM*. 


M[.U. 


.... 


to 


I«8I4.94 


I36so.ti 


13433,47 


1318960 


11930,57 


..631.« 


tl 


.^89=9 


,3311.80 


13110.57 


11874 95 


11616,41 


"337 59 




.1653.38 






■137336 


1133397 


1105397 




\^:at 


11500.71 


■.=8l.f7 


11040.61 


10779.94 
10515.18 




"SSl-Sa 


114008s 


1131159 


'099947 


10766.66 




Ilafc.!!? 


11115-13 


10931. 34 


107 J? 39 


10503.73 


10359.0a 


M 


■097896 


.083B.34 
10371.63 


10661.63 


10465.61 


1024638 






10706.73 




1030S.B4 


9998,86 


977137 




><M44-7« 


10313.83 


1014B-53 


9963.67 


9760,13 


9539-04 


» 


10190.36 


1006388 


9903,81 


9734 ■i?4 






10 


970J33 




9667.33 


9493,80 


930055 


9094.96 


11 


9587-93 


9438.51 


936993 


^?s 


8882.S0 


11 


9475 37 


360-65 


9315.04 


S?8 


8676.41 


» 


9aS»-43 


140.97 


8999,3 




8475.66 


14 

It 


936.9<J 
8719 I3 


l^:?. 


8636 17 
B4300. 


846599 
83697s 


Sf. 


IB 


8619=3 


5i7.>» 


838769 


8341,30 


8079.40 


7903.33 




e+19 17 


6319.87 


8193 87 


805143 


7893.04 


771974 


n 


812459 


117.87 


8004,87 


7865.53 


771086 


7540.91 


N 


8034-66 


794°.*= 


7819.65 


7683.37 


753 1-88 


7365.49 


41 


7848.46 


7756.46 




750577 


7356.98 


7192.31 


U 


7666.56 


7576 4'i 


746?4S 


7330.49 


7184.18 






74BS .3 


7399.97 


7387,^6 


7158 19 


701395 


685434 




7313 74 


73=7.34 


711s 59 


698883 


6846.09 


6687.47 




7140.53 


Si; 


6*45.95 


6a3o.« 


6678,94 


6531.43 


41 


6970-17 


6778.15 


605367 


6513 0. 


6355.44 


41 


6801,69 


6718,71 


6611,30 


648769 


6346.78 


6189.01 


n 


6634.33 


6553.33 


^445 39 


6331,66 


6,80,49 


603..70 


41 


6467.33 


63B5.J9 


6J79.07 


615503 


6013.39 


'M-Z 


41 




6319 OS 


611196 


sli8;=y 


5844,31 


10 


6051.08 


594377 


567411 


S5I0 54 




5883.18 


5774,14 


S64760 


550166 


5335.90 




57*431 


57H-95 


S60373 


5474-74 


5336,75 


5158.57 




5<™.So 


iSil 




539936 




49784" 




5448.77 






496?:" 


4795-3? 


tl 


5373.66 


5'B7.59 


50743a 




4785.75 


4608.93 


M 


5093.91 

4911. 86 


5007.6) 


4893.60 


475689 


4599.36 


441933 


K 


4824-43 


4707.90 


4569.67 


440937 


4336 41 


H 


47«S.Bo 


463B 35 


451957 




4316.34 


4033.30 


» 


4538.5' 


44)8 65 


433834 




4030.01 


3831.19 


M 


4347." 


4355.6^ 


4133 57 




3830.81 


3639.30 
3134,84 




4153.31 


4059-70 


39358' 


378893 


3618,66 




3954.3^ 


3B60&, 


373509 


3586,43 


341407 


331832 


U 


37S3.=4 


3638.55 


3381, '3 


3307.33 


301030 




3549.53 


345398 


3335 83 


3174.38 


3999. 3> 


2801.40 


K 


3343.54 


3347-30 


3118 30 


3965.89 


379033 


3393.54 


<1 


&S 


3038-99 


3909.53 


375688 


3581,41 


3384.66 


IT 


3^.60 


3700.33 


=547 97 


1966 sS 


3179.03 


11 


1716.71 




3491.45 


=340.34 


1977.17 




350780 


2413.05 


32B4.41 


313539 


1780.73 


" 


3300.34 


3205.74 


3080.14 


1934.39 


177943 


'591.34 



Amebican Experience Table. 



w 


R[.: 


auu, 


KM-, 


R[.l'. 


»[.)+. 


R... 


» 


M 


30635364 


3S3."8 70 


370878.08 


3584456. 


34635701 


33433644 




3831 ".33 


37061904 


35S307 24 


346.9667 


lES 


33370531: 13 


M 


ssi;s 


358066.73 


3460630., 


334363,05 


3.1367.7a *T 




345833.71 


334.36 14 


3"635,53 




3003.3751 »» 




34546393 


333913,40 


333511 ;j 




300300,46 


389533-80 n 


U 


333S56!>? 


332196,00 


311180.87 




:S.s 


379018,63 M 


ts 


3J 19*8.41 




300.31.13 


^%*l 


a6«759.6o! 11 


17 


310634.99 




389356-05 


368747.^ 


358748.43 


11 




a996o7.95 






368700:86 


358737,19 


148977.06 


13 


w 


383848.16 






358690,.. 


248965-57 


339438-01 




M 


'7835486 


3684.0:35 


358508.04 


348920-73 


339436-93 


330134 37 






36811664 


1534'" 31 


348822.18 


3393B3.87 


33°! 13 95 


331039.42 




U 


a58iai.6g 


34864*31 


339385,^ 


33007063 


331018.77 


3.3.46.62 




M 


iSi 


3391 18.70 




330978.05 


2.3.36.63 


3Oj470.ai 




M 


339813,89 




3.3096.71 


303460.54 


194994,5s 




U 




320735,80 




30343045 


1786.6.58 


1I6714.69 


40 


It 


I'^'.ii 


303181.74 


^ttl? 


Kco 


178625.77 
170733.54 


41 
41 


n 


!™937.S3 


194713.94 




178580! 20 


.70714.67 


.63003.81 4S 


» 


186438,00 




17067815 


16399478 


15^63-90 44 


M 


.78355 6S 




16396016 


;5i^'i? 


146097.4" 4i 


«1 


17B«3 77 






IS.U'937 


1.40904.60. 4S 


U 


I^»a9.aa 


.6374 «. 09 


155341,1a 


148054.06 


.40895.87 


13388.93! 47 


41 


161519.06 


155303.33 


147978,08 


140863,49 


13387367 


137037.58, 41 


44 


154981.47 


147840,95 


140785.49 


1338.1954 


137019 05 


13=340.11 41 

1.3118:69! M 


4( 


147620.03 


.4«H5.8S 


;iigi3 


"36985.37 


13033170 


4< 




133637-74 


13039773 


..3810-0, 


io7463.a6, »1 




jg| 


.367?4." 


130331,79 


113776.40 


.07454-74 


101374.35! M 


41 


130085,73 


1 136913.04 


107430,87 


io.;65,84 


95353 ss s» 


49 


1.356=4' 


107343.36 


101331 40 


05343.97 


89399,46 H 


W 


j^*; 


107303-85 






89390.71 


8371660 U 




10I01..63 


951394: 




8.1707.71 


78306.05 H 






94986,33 


89174 37 


83671-64 


7819690 


73870,15 67 




9475' ■»7 


89.38-77 


B3589 38 




7=86078 


67711,58 S» 




88890.98 


83443-3. 


78077. =6 


73334 03 


67702,15 


63733. '8 51 




83198.98 


77936-33 


7373S 7i 


6766443 


6173366 


57937 91, W 


H 


7767938 


73585.47 


6757783 


6^685-33 


579=8 34 


sss u 


(7 


7S33»S? 


67421.03 


6350,6j 


5788I70 


liSS 


it 


67i63.:;S 


61436.68 


57798.43 


53378 86 


44683.35 u 




63.73.14 


57634.6) 


S3' 35 97 


46857.63 


4467396 


40653,95 M 


» 




ICsii 


48764-60 


4463'. 3' 


40643-58 


368,1.76 u 




53747.80 


4453566 


406CO-O4 


36a....3 


33193-46 M 

S97e7-6at W 


U 


48318.13 


44363.84 




36768,11 


33181.69 


«1 


4408' »3 


40337.99 




3313786 


30756.63 


"65493°; M 




40041.04 


36493.4. 




397.160 


3653B 33 


3353900: M 


w 


36303.S7 


3 '959- 33 


39613:03 


36493 83 


3353794 


30737.6. 70 


M 


3aS67.4S 


3943'-6» 


36392 8.) 


331B3 36 


30726,48 


1814507 71 


•7 




36111 86 


23583 ,6 


30681,03 


1813406 


15760.41 71 


SI 


»S9ia-35 
3191046 


3330164 


30581,4^ 


.808907 


'5749 S3 


■3181.39, 7» 








15706.30 


.35708. 


.160433 74 






.781438 


I3608 54 


135=8-30 


I '593 91 


98=349 





American Experience Table. 



Ak= 


D(.] 


D[,)*, 


DW*. 


D[.lt, 


D[.l*. 


D, + . 


Jr 


IT 


S0767 


49095 


E 


4576B 


44135 


43S'3 


„ 




48900 




440S, 




40951 


t« 


n 
u 

M 




4«45 




38 

39370 


40934 
39+18 
37957 


39434 


» 


U 


4a07a 


4o6fa 


39388 


379"o 


JO547 


35301 




n 


■IOS'3 


39'7a 


37B39 


36500 


35185 


3388* 






39"9 


3771* 


^ 


35140 






it 




375" 


36314 


gg 


>30o7 


3^ 




n 


36159 


34960 


33756 


J1383 


30317 


14 


w 


34809 


33653 


3^!' 


i% 




19078 


u 


» 


33507 


3=391 


3'='73 








M 


3«4g 


31 17+ 


30094 


39035 




^ 




M 


31036 


^8866 


38959 


37937 




35893 


w 


" 


J9863 




37B63 


16866 


35860 




» 


1£ 


38733 


=7771 


36803 


15843 


=^8^9 


33944 


4S 


H 


276+1 


36713 


. 357S0 


34853 




33019 






a6sas 


35693 


34791 


13896 




33I1S 


41 


SI 


"SS67 


14705 


=■3836 


31973 




11160 




4a 


s 


33751 
»8>9 


31911 


31079 


3041; 


i 


4( 






JI93S 






IClOOi 


4B 


« 




31075 


10331 










4S 






I95'3 




i8q6q 


17334 


41 


46 


ii 


ii 


18739 
17970 


■^ 


173J1 
10O07 


16618 


4> 

U 




17889 


17331 












"7773 


17151 


■X 




'5'3S 






41 


:ssj 


16435 


i5»o. 


14S75 


13944 




«• 


15737 


15143 


14541 


'mi 


I3317 


14 


H 


15617 


•5057 


14481 

'^36 


13897 


ni"- 


13704 


11 




M936 


14395 


13369 




11105 


It 




I4371 


ss 


13207 


i!'6ss 




11519 


17 


H 


13^3 


13S93 










M 
11 


a 


;;is 


:;s; 


vM 


iu3e9 


'Si 


11 


It 


ilfsi 


1.306 


1083; 


10339 


9317.3 








10359 


9775.7 




U 




I05BS 


10159 


9704.4 


gss 


S744-J 


83|?:o 




1* 


IOOI3 


9601.7 


Si 


8^33.6 


7715.7 


M 


M 


fS| 


1'° 


8178.3 
7665.7 


?^:! 


S5,; 


tl 

M 


It 


^:6 


747«l6 


7587-3 


7163.8 


67i6!9 


6350.6 




It 


70B1.9 


6669.6 


&'34-9 


5779.4 




H 


73"-7 


6967.9 


6588-4 


6187.0 


57035 


5319.3 


«> 


U 


6S01.1 


6471.4 


6104s 


57'4-9 


5301 = 


4871.1 


70 


tt 


ii 


59«S9 


563' -6 


5354.1 


'^»° 


4436.1 






55".4 


5170,1 


4805.8 




4015.5 




u 


S049-3 




43709 




3611.0 


71 


t« 


4601,0 


Ia87:t 


3950.9 




S$.', 




■n 


44a9-S 


4167-a 


3867.9 


3547.; 


3»9 5 


« 



American Expebienciv Tabi.r. 



"77"3 
Ii»58S3 

1076477 

93M3 
896481 

8SSS59 
816133 
77*199 
74.661 
706,84 
673610 

60B631 



44373' 

4»9794 
39*781 
374666 

353407 
33*987 
3 '337a 
59*541 
»764M 



S37S4 
47498 
41717 
36404 



H[.)*, 


Ni.l^, 1 


ii»6346. 


ltJ7735I 


i07t9S3 

HB937B 


ItaqOIH 


5839« 


983554 


656229 


855969 


816797 


816550 


778831 


778593 


742279 




7U7f^ 


706853 




672977 


(^X 


640361 


60,. SB 


608977 


srB..7; 1 


578769 


54 ^/>J 


549699 


■^jiotS 




41.M113 


Xi 








420101 


3'.7J7J 


39708s 




374962 




353708 


31M'V 


333283 


3'3«-^' . 


313671 




294839 


»7^W 




a?</ii7 . 


25943^ 




141810 


a; 7073 


116880 


ziiS-'i 


111633 


f'V7!.13 1 


\^l 


1635^') 1 


169760 


tJJJ^ti 


157045 




"44933 




\SQ 


riSj 


l'2057 


iP'J;' 1 


53916 
I4148 


'S 1 


^6^ 


6it<'3 


6*934 


54463 


S4'96 




1^n 


4iIjS 
37 "f*? 


36840 


32139 


3"974 


!;So7 



778068 
742409 
707213 



444335 
430393 
39737; 

35399° 
3335^5 
3'39S4 



93295 
84534 



48358 
43578 

32388 



897403 
B56453 
817018 
779046 
742481 
707283 
673396 
640776 
6J9378 



375*96 
354036 
3336U 
313997 
177096 
259763 
343144 

311976 



76356 



43643 
37324 

3245» 



American Experience Table. 



43 



SELECT AND ULTIMATE. 
THREE PER CENT. 



Ane 


S[.l 


20731749 


19605403 
18527898 


: s[.j+, 


S1.1+* 


i s. + » 


Age 


90 


21908862 


18528152 


17498323 


16514262 


95 


91 


20730704 


1960485 I 


17498234 


16514245 


15574337 


96 


as 


10603847 
"526395 


18527370 


17497992 


165 14 160 


15574320 


14676933 


97 


93 


17497478 


16513924 


15574237 
14676839 


14676917 


13820481 


99 


94 


17496536 


16513430 


15574012 


13820466 


13003463 


99 


95 


16512512 


15573529 


14676618 


13820389 


13003448 


12224417 


30 


96 


15572617 


14676135 


X 3820166 


13003369 


X222440X 


11481933 


31 


97 


14675269 


I38197IO 


13003160 


12224328 


II48I9I9 


10774650 


39 


98 


13818875 


13002722 


12224129 


I 148 I 850 


10774637 


X0101254 


33 


99 


13001883 


12223684 


11481644 


10774564 


IOIOI240 


9460479 


34 


SO 


12222884 


1148x223 


107/4371 


1010x172 


9460465 
8851089 


8851x00 


36 


91 


I 1480447 


10773963 


10100986 


9460401 


827x940 
7721857 


36 


99 


10773180 


IOIOO57O 


9460208 


8851020 


8271926 


37 


88 


10099S29 


9459816 


8850839 


8271862 


7721844 


7199753 
67043*7 


38 


84 


9459087 


8850455 


8271686 


7721783 


7199742 


39 


36 


8849738 


8271306 


7721607 


7199679 


6704554 


6235271 


40 


36 


8270606 


7721237 


7199509 


6704494 


6235259 


5790877 


41 


87 


7720547 


7199144 


6704326 


6235200 


5790865 


5370426 


49 


88 


7198473 


6703972 


6235038 


5790809 


5370416 


4972995 


43 


80 


6703304 


6234684 


5790646 


5370359 


4972984 


4597688 


44 


40 


6234032 
5789646 


5790301 
5369852 


5370200 


4972928 


459/677 


4243641 


45 


41 


4972767 


4597620 


4243630 


3910018 


46 


49 


5369202 


4972421 


4597459 


4243572 


3910006 


3596009 


47 


43 


4971794 


4597128 


4243420 


3909953 


3595999 


3300831 


48 


44 


459648a 


4243075 


3909792 


3595941 


3300819 


3023723 


49 


45 


4242444 


3909457 


3595786 


3300764 


3023712 


2763949 


50 


46 


3908816 


3595444 


3300605 


3023655 


2763937 


2520793 


61 


47 


3594807 


3300266 


3023498 


2763881 


2520781 


2293559 


69 


49 


3299620 


3023154 


2763722 


2520725 


2293548 


2081572 


68 


49 


3022502 


2763376 


2520566 


2293493 


2081562 


1884172 


54 


50 


2763702 


2520205 


2293325 


2081502 


1884160 


1700715 


65 


61 


2519525 


2292961 


2081333 


I 884 100 


1700703 


1530575 


56 


69 


2292269 


2080963 


1883928 


1700642 


1530563 


1373139 


57 


69 


2080257 


1883550 


1700466 


1530500 


1373x26 


X 227807 


69 


64 


1882831 


1700082 


1530322 


1373063 


1227795 


1093995 


59 


65 


1699335 


1529921 


1372876 


1227728 


1093981 


971 126 
858640 


60 


66 


1529 I 71 


1372475 


1227542 


1093915 


971113 


61 


67 


1371702 


1227129 


1093724 


971046 


858627 


755984 


69 


69 


1224325 


1093292 


970844 


858555 


755970 


662618 


68 


69 


1092480 


970410 


858353 


755898 


662603 


578009 


64 


60 


969571 


857903 


755688 


662528 


577994 


501638 


65 


61 


857051 


755233 


662317 


577919 


501623 


432993 


66 


69 


754362 


661852 


577704 


501547 


432978 


371572 


67 


63 


660959 


57/^26 


50x325 


432899 


371556 


316883 


68 


64 


576320 


500842 


432676 


371478 


316868 


268445 


69 


65 


499920 


432184 


37x250 


316787 


268429 


225786 


70 


66 


431253 


370754 


316558 


268348 


225770 


188446 


71 


67 


369808 


316054 


268115 


225687 


188429 


155977 


79 


69 


315115 


267617 


225459 
i88iao 


188350 


155962 


127945 


79 


69 


266677 


224960 


155881 


X27929 


103928 


74 


70 


224037 


187633 


155659 


127852 


103913 


83522 


75 



44 



American Experience Table. 



SELECT AND ULTLMATE. 
THREE PER CENT. 



Age 

[«1 


MM 

• 

16481.72 


M1.1+, 


MU1+, 


Ml.]*, 
1577346 


MM +4 


M.*» 


Age 


20 


[6288.74 


16046.06 


1 
15472.40 


! 15145.71 


96 


91 


16107.93 


[5921.61 


15685.49 


15420.83 


15129.01 


i 14812.77 


96 


St 


15745.05 


15564.67 


15335-92 


15078.97 


14796.12 


1448954 


97 


93 


15394.62 


[5219.49 


1499740 


14748.40 


1447424 


14175.72 


98 


94 


15053.53 
14722.80 


[4883.50 


14668.81 


14427.06 


I416044 


13871.04 


99 


95 


US58.19 


14349-76 


1411505 


13856.62 


1357482 


SO 


96 


14401.84 


14241.57 


14039.20 


13811.33 


13560.02 


13286.83 


91 


97 


14089.73 


I 3935.01 


13738 II 


13516.46 


1327247 


13006.84 


S9 


9S 


13787.89 


13637.25 


1344609 


13231.30 


1299364 


1273425 


83 


99 


13493-37 ] 


13347.12 
1306539 


13161.13 


12951.82 


12720.70 


12466 50 


34 


10 


13207.39 


12884.42 


12680.83 


12455-35 


12209.42 


86 


SI 


12928.96 


12790.71 


12615 39 


12416.63 


12197.00 


11956.86 


36 


U 


12657.65 


[2523.05 


12351.38 


12158.05 


1194413 


11709.98 


97 


S8 


12394-50 


[2263.09 


12095.70 


11907.31 


1169795 


11468.66 


38 


84 


12136.58 ] 


[9008.64 


1184579 


11661.55 


11456.98 


11232.16 


39 


96 


11885.22 ] 


[ 1760.32 


I1601.21 


I1420.71 


11219.89 


1 1000.40 


40 


S6 


11639.85 ] 


"51758 


1 1362. 12 


11185.30 


10988.80 


10772.72 


41 


S7 


11399.06 ] 


[ 1279. 70 


II127.51 


10954.61 


1076145 


1054906 


4S 


ss 


11163.76 ] 


[ 1046 93 


10897.64 


10727 69 


10538.13 


10328.84 


43 


S9 


1093293 ] 


[0818.28 


10671.25 


10504.23 


10317.67 


X0111.76 


44 


40 


10705.52 ] 


C059332 


10449.42 


10285,30 


10101.18 


9897.03 


46 


41 


10482.28 ] 


[037190 


1023023 


10068.17 


9886. 2.V 


9684.45 


46 


4S 


X0262.27 ] 


toi53 70 


10013.97 


985372 


967349 


9473.08 


47 


4S 


10046.17 


993913 


9800. p 
958787 


9641.89 


9462.67 


9262.54 


48 


44 


9830.48 


972471 


943034 


9251.74 


' 905203 


49 


4» 


9617.28 


9512.53 


9376.68 


9219.63 


9041 30 


8840.57 


60 


46 


9405-44 


9301.25 


916573 


900902 


882950 


8627.53 


51 


47 


9193-79 
8981.89 


9090.46 


8954.89 


8797 27 


8616.56 


8412.30 


59 


48 


887851 


8742.56 


8583 77 


8401.44 


8194.36 


63 


49 


8768.79 


8665.23 


8528.14 


8367.96 


8183.22 


7973.25 


64 


60 


8553.65 


8449.34 


8311.30 


8149.10 


7961 83 


7748.34 


55 


61 


833655 


8231.19 


8091.53 


7927.16 


7/36.69 


751929 


56 


6S 


8116.73 


8010.26 


7868.39 


yyoi 33 


750724 


7285.60 


57 


6S 


7893-14 


7785.32 


7641.29 


7471.07 


7273.17 


70^*7.00 


58 


64 


7665.98 


7556.58 


7410.05 


723663 


7034.77 


6803.30 


59 


66 


743457 


732300 


7173 69 


6996.86 


6790.57 


6554. 13 


60 


66 


719854 


7084.85 


6932.51 


6751.92 


6541.28 


6299.37 


61 


67 


695699 


6841.21 


6686.14 


6501.30 


6285.92 


6038.90 


69 


66 


671026 


659243 


643373 


6245.21 


6025.23 


5772.82 


63 


69 


6458.01 


633784 


6176.18 


598355 


5758.79 


5501.37 
5224.80 


64 


60 


6200.29 


6077.69 


5912 58 


5716.09 


5487 17 


66 


61 


593668 


5811.73 


564366 


544339 


5210.15 


494334 


66 


6S 


5667 59 


5540.53 


536936 


5165.70 


4Q28.45 


465767 


67 


68 


539294 


526385 


5089.91 


4882.94 


4642.39 


436852 


69 


64 


511328 


4982.39 


4805.99 


4596.35 


4353-10 


4076.73 


69 


66 


4829.17 


4696.69 


4518.11 


4306.41 


4061.20 


3783.60 


70 


66 


4540.91 


4407.34 


4227.39 


4014.18 


376791 


3490.42 


71 


67 


424958 


4115-06 


393437 


3720.68 


347483 


3198.99 


79 


6S 


3955-59 


3820.82 


3640 09 


342698 


3 » 83- 50 


2911.54 


73 


69 


366*. 38 


352800 


3347.99 


3136.80 


2896.40 


2630 45 


74 


70 


33^-24 


323583 


305797 


28^0 27 


2615.63 


2357.97 


76 




^_ 


. __ 








_ 





Amekican Experience Table. 



J^ 


R[.) 


R[.l», 


RL.I.. 


Ri.ln 


RUl*. 


P... 


A 4= 


» 


saBwo."! 


3=508.39 


5063,9. 53 


490173-49 


474400 03 


458937-63 


16 




SHo^eso 


503938.87 


490017.36 


458844-^4 


458910.94 


443781-93 




u 


505489-88 


489744-83 


474180.16 
4Sfc99.6s 


V^&l 


438969.15 




H 


48Q30 76 


473919-14 


443702.25 


414479.6. 


ta 


U 


458035. ai 


458443-71 
4433 "-48 


443560.JI 
438754.39 


42SB91.40 
4.4404.53 


41446434 


t^,lM 


u 


H 


443912.00 


433s'o-l6 


414368.59 


400)39 39 


^is'U 


3^5f^ 






43BU3™ 


414033.37 


40Q09B.S6 


3B6360.IS 


37=843.69 




M 


11 


.,1366055 


3wa7».66 


386335-4' 


373789.3;' 










399504-37 


3B60.0.9D 


37266378 


3S9S03.6; 




33383013 
321361,64 


M 




385655.™ 


373447 63 


359383 34 


346497.83 




n 






35917'. 94 


346381-33 


333765.84 


331349.31 


309153.31 


u 


u 


ipB^iS 


346171-97 


333648-93 


3»I397-54 


3091.M-49 


397195.36 


87 


u 


1^^^-^ 


333449-43 


331166.34 


309090.64 


397183-33 


385485.39 


SI 


H 


3»o989-6B 


308981.04 


"97I35-I5 


aS5473 70 


374016.72 


81 


u 


3»67'.9> 


308786,69 


397026,37 


385433 16 


37400445 


361784.56 


40 


» 


308477-81 


396837-96 


383320 3S 




363773.96 


351784.16 






"96533-77 


385134 71 


37385.5-01 




331773.89 




41 




384836-53 


37367377 


363635.84 


351738,30 




330463.3B 






273377-^ 


36344497 


351636 69 


340955 44 


33045.31 


230.33 54 




40 


a62.36.s3 


330135,16 


340857,69 


230408.37 


330133.97 


3,0021,79 


4t 


«1 


251163.57 


330309-39 


330079.16 


3100.0,99 


300,34,75 


40 


u 


340397-45 


3E998I.48 


309967,51 


300,13,79 


19044030 


47 




»98S7.38 


3I9B1I-3I 


309872^ 




190429-89 


180967.33 


41 




ai9S»9 8 I 


309609.33 






180956,41 


171704-67 


40 


4E 


30}iao.t>7 


I99S03.79 






17,693,9c 


163653.63 




4S 




190.17.s7 


1808.6:3, 


1716.5059 


i6j64.,57 


1538.3.07 




47 


i^is 


"80643-73 


i7>55i-37 


162398 38 


1S3S01.il 


145184.55 


n 


» 


■7137853 


I63S»,« 


153757.46 


145173-69 


.36773-35 


03 


4> 


i7i09i-'3 


1623^44 


IS3657.»1 


I45i'9.07 


15676,.,! 


138377-89 


14 


H 


163039.86 


153476 31 


145036.B7 


136715.57 


128366.47 


.30604.64 


» 




"S3'79-4' 


14484386 
136414. 3J 


,3661.67 


138530.14 


I 10591 98 


1,395629 






144540.94 


IJ8413.95 


130345.57 


1.284424 


105337-00 






.36..5-40 




130436 94 


113795-63 


105334-58 


98051.4. 






1^*79084' 


130343 43 


113685 % 


105375.80 


98039.7 


9>oa4.40 


10 


£1 


"991979 


113485 33 


105,63,33 


97988.53 


SSil 


84201. iO 


U 




11315607 


104917.53 




84134:83 


7764697 






10461917 


97663.18 


^:97 


7763353 


7IJ476. 


81 




9731S'56 


90605.3a 
83793.34 


840.287 




7133393 


65308,70 








77454-40 


fitlVA 


fi5»94-67 


5953SB3 




M 


7^5-" 


77338.04 


71150.35 


65337,77 


59531.68 


54034. lii 




«l 


7O918-S4 


65106.91 


59461.35 


54019. St. 


48809.7. 


81 


a 




64S7O-4I 


59339-88 


53960.52 


48794.82 


43866.37 


87 


sa 


64480.73 


5908779 


4lB5:ffi 


sss 


43851 09 


39308.70 


80 


M 


5869..3S 


53378.07 


3919334 


34840.. 8 


SO 


u 


53175 °3 


4834s 86 


43649.17 


3913106 
34761,94 
306849; 


34824.65 


30763-45 


70 


« 

•7 


SI5S 


'^% 


38989-33 
34619.33 


30747-76 
36964.37 


3*^-85 
3348944 


tJ 


M 


3B317-43 


34361 34 


3?.^-03 


36900.93 


!'3473 95 


*a90 45 


Tl 


W 


33950-48 
39877.40 


3O388.0 




3j4.3..r 


ao375-3i 


"7.178.91 




70 


36508.10 


33J71 33 


39314.36 


173S409 


14748.46 


76 



> 



THE ACTUARIES' OR COMBINED EXPERIENCE 

TABLES. 

INTRODUCTION. 

The 17 Offices Table of Mortality, which has in America 
come to be known as the Actuaries' or Combined Expe- 
rience Table, was the first table deduced from the com- 
bined experience of companies with insured lives. It was 
decided upon at a meeting of actuaries in London, 
March 19, 1838, and was undertaken by a committee of 
actuaries, headed by Messrs. Charles Ansell, Griffith Davies 
and Benjamin Gompertz. Only 62,537 insurances in all 
were involved. The graduation was by the graphic sys- 
tem. 

The table became far more popular and was more gen- 
erally used in America than in Great Britain, where it was 
long ago wholly superseded as an authority by the Institute 
of Actuaries* H-^' and H^ tables. In America, as a result 
of Hon. Elizur Wright's initiative,the Actuaries* Table was 
adopted as the standard of legal solvency in Massachusetts, 
and it has since been made the standard in nearly every 
State. New York was the last important State to abandon 
its former standard — the American Experience Table — for 
the Actuaries*. 

The Actuaries* Table, together with commutation tables 
based thereon, was first published in ** A Series of Tables 
of Annuities and Assurances Calculated from a New Rate 
of Mortality amongst Insured Lives,*' by Jenkin Jones, 
published in 1843, in London. This book is now a classic, 
and is familiarly known as *' Jenkin Jones.** It is out of 
print and brings a high price. 

The commutation columns at three and three and one- 
half per cent are taken from this book. The columns at 
four per cent are taken from ** Principles and Practice of 



Introduction to Actuaries' Mortality Tabli:. 

Life Insurance," the N column being revised to correspond 
with the English notation. 

Valuation columns (Wright's Accumulation) are also 
given for 3 per cent, 3)^ per cent and 4 per cent The 
last mentioned are from Wright's reports, and, for the 
other two. thanks are due Walter C. Wrieht, Esq., actuary 



Actuaries' Mortality Table. 



49 



Table I. 

actuaribs* or combined experience mortality table, 
probabilities from actuaries' table. 



fret 


Number 
Surviv- 
ing at 
Each 
Age. 


Deaths 

in 
Each 
Year. 


ProbabiU 
ity of 
Dying 

in One 
Year. 


Probabil. 

ity of 
Surviving 
One Year. 


h 

q 



Number 

Suiviv- 

ingat 

Each 

At;e. 




100 30O 


676 




.9933400 


66 


63469 


10 


0007000 


11 


99)34 


674 


.0067859 


.9932141 


66 


62094 


It 


98650 


672 


006)119 


.9931881 


57 


60638 


13 


97978 


671 


.00^8484 


.9931516 


58 


59x61 


14 


97107 


671 


.0053959 


.9931041 


59 


57600 


15 
16 


96^36 
95)% 


671 

672 


.0069434 
.0070036 


•9930566 
•9939974 


60 
61 


55973 
54275 


17 


95^3 


673 


.0070625 


•9929375 


6i 


52505 


It 


945ao 


675 


.0071336 


.993866A 
.9937930 


6t 


50661 


19 


93945 


677 


.0072064 


64 


48744 


to 


93268 


63o 


.007390Q 


.9937091 


65 


46754 


tl 


92^88 


633 


.0073768 


.9926332 


66 


44693 


tt 


9IJ05 


685 


.0074641 


.9925359 


67 


42565 


t3 


91219 


690 


.0375643 


•9924357 


6t 


40374 


t4 


90529 
8933s 


694 


•0076659 


.9923341 


69 


38138 


t6 


693 


.0077700 


9922300 


70 


35837 


t6 


89137 
88434 


70^ 


.0078866 


.9921134 


71 


33510 


t7 


708 


.0083061 


•9919939 


78 


3"59 


tt 


87726 


714 


.00S1339 


.9918611 


7t 


28797 


tt 


87013 


7ao 


.0083750 


9917253 


74 


26439 


to 


8629a 


727 


.0084348 


•9915752 


75 


24100 


tl 


85565 


734 


.0085784 


.9914216 


76 


31797 


tt 


1% 


74a 


.0087468 


.9912532 


77 


19543 


tt 


750 


.0389191 


.9910809 


7t 


17369 


t4 


83339 


758 


.0090^55 


.9939045 


79 


15277 


tt 


82581 


767 


.0052877 


.9J07123 


90 


13290 


te 


81814 
81038 


776 


•0094S49 


•9905151 


tl 


11434 


t7 


785 


.0396867 


•9903133 


tt 


8lI3 


tt 


8025^ 
79458 


7^5 


.00^364 


9900936 


83 


tt 


805 


.0101311 


.9898689 


84 


6635 


40 


78653 


815 


.0103619 


.9896381 


35 


5417 


41 


77838 


836 


0106118 


.9893882 


86 


4306 


4t 


7701a 


839 


.0108943 


.9891057 


37 


3348 


4t 


70173 


8S7 


.0112509 


.9887491 


38 


2^37 


44 


753^6 


88 c 


.0116973 


.9383027 


89 


1864 


45 


74435 


939 


.0122120 


.9877883 


90 


13T9 


46 


73526 


944 


.0128389 


•9671611 


91 


893 


47 


72582 


9^1 


.0135157 


.9864843 


9t 


570 


4t 


71601 


102 1 


.0142595 


.9857405 


93 


339 


49 


7058J 


1063 


.0150611 


.9849389 


94 


184 


50 


69517 


1 108 


.0159386 


.9840614 


95 


89 


51 


68409 


1 156 


.0168982 


.9831018 


93 


37 


5t 


67353 


1207 


.0179473 


.9833537 


97 


13 


5t 


66346 


Z35[ 


.0193927 


.9809073 


93 


4 


ft4 


64785 


1316 


0303133 


.9796867 


99 


I 



Deaths 

in 
Each 
Year. 



1375 
1436 
1497 
1561 
1627 
1698 
1770 
1844 
1917 
1990 

ao6i 

3138 

3191 
3346 
3291 
3327 

2351 
3362 

2358 

2339 

2303 
3249 
2179 
2092 
1987 
i865 

1730 
1582 

1427 

1268 



li 



nil 
•S8 
In 

673 
545 
427 
322 

231 

155 

95 

52 

24 

9 

3 
I 



Probabil. 

ity of 
Dying 
in One 

Year. 



0316643 
0331361 

03I6793 
0363850 

0283464 
0303363 
0330116 
0351304 
0378398 
0408356 

0440818 
0476138 
05x4741 
0556300 
OOO0S73 
0649328 
070158 1 
0758049 
08(8834 
0884679 

0955603 

1031794 
11x4692 

1204441 

1300648 

1404064 

1514357 
163 1933 

1759121 

1896785 

2050951 
2224804 
2422340 
2652/41 
3923820 
3237300 
3639866 
4352632 
4572271 
5163043 

5842697 
6486486 

6923077 

7^03000 
O000O3O 



Probabil. 

ity of 
Surviving 
One Year. 



9783357 
9768739 
9753207 

9736144 
9717 36 

9696638 
9673884 
9648796 
9621603 

9591744 

9559182 
9523863 

9485259 
9443700 
9399128 
9350672 
9398419 
924x951 
9181166 
9115331 

9^>44398 
8968206 
8385308 
8795556 
8699352 
8505936 

8485643 
8368063 

8240879 

8103215 

7949049 
7775196 
7577660 

7347259 
7076183 

6762700 

6390134 

5947368 

5427729 

4836957 

4157303 

3313514 
3376923 

2500000 

0000000 



50 



Actuaries' Table. 



Table II. 
COMMUTATION COLUMNS— FOUR PER CENT. 




10 
11 
II 
II 

14 

1ft 
If 

17 
IS 
19 

to 

II 
fl 
II 

14 

Ift 

16 
17 
It 

19 

to 

tl 
tl 
It 
14 

15 

te 

97 
19 
99 

40 
41 
49 
49 
44 

45 
46 
47 
49 

49 

50 
51 
59 
59 
54 



67 556 4 
64 519-0 

61 616.5 
58 843 o 
56 192.4 

53 658.5 
51 236.5 
48 930.9 
46707.x 
44590.3 

43 566.3 
40 630.7 

38 779-8 
37 010. o 

35 317.3 

33 698.6 

32 150.8 
30670.4 

39 354.6 
27900.S 

36 605.4 
as 366.6 

34 181. 8 

33 048.3 
31 964.3 



90 937.3 

9 935.5 
8 986.9 

8 079-8 

7 ai3.a 

6 383.6 

4 030.6 
4 «04.8 
34097 

3 743.15 
2 101.40 

z 488.46 

o 897.30 

o 329.76 

9 781.9a 
9 35578 

8 749.39 
8 961.89 

7 79a-45 



z 
z 

z 
z 
z 



314 214.9 

249 695.9 
188 079.4 
Z29 236.4 
073044.0 



1 010 385.5 
968 148 99 
919 228.12 
87a 521.02 
827930.74 

785 364.44 
744 733 72 
705 953 91 
668943 96 
633 626.65 

599 928.03 
567 777.28 
537 106.90 
507 852.25 

479 951-73 

453 346.30 
427 979 68 

403 797 93 
380 749.62 

358 785-45 

337858.15 
317 922.64 

998935-69 
280 855.86 
363 643,62 

247 261.06 
231 671.83 
216 841.25 
303 736 43 

189 326.69 
176 583-54 

164 480.14 

152 991-67 
142 094.38 
131 765.62 

121 983.70 
112 727 92 
103 978.53 

95 716 64 
87 924.18 



23 433 050.1 
22 118 835.2 
20 869 139.3 
19 68z 059.9 
18 551 823.5 

17 478 779-5 
»6 459 394-0 
15 491 345.0 
14 572 016.9 

13 699 495.9 
12 871 565.3 

12 086 300.8 

II 341 467.1 
10 635 513.2 

9 966 569-2 

9 332 942.6 
8 733 014.6 
8 165 237.3 
7 628 130.4 
7 120 278. z 

6 640 326.4 
6 186 980. z 
5 759 000.4 
5 355 202.5 
4 974 452.9 



4 
4 
3 
3 
3 

3 

2 

3 
3 

3 

3 
I 
Z 
Z 
Z 

I 
I 

z 



615 667.4 

377 809.2 
959 886.6 
660 950.9 
380 095,0 

116 451.4 
869 190.3 
637 518.5 
420 677.3 
317 940.9 

028 614.2 
852 030.7 
687 550.6 
534 558.9 
392464.5 



260 698. 

138 7«5 
025 987. 

Q22 008. 
826 392. 



9 

2 

3 

75 
II 



14411.37 
13 972.25 

13 551 27 
Z3 147.68 

Z2 760.90 

Z2 387.616 
12 020.364 
II 604.377 

iz 352.165 
zz 031.783 

zo 722.808 
10 424.401 
10 Z36.205 

9 857.877 
9 588.693 

9 328.362 
9 076.601 
8 832.789 
8 596-687 
8 367.742 

8 145.752 
7 930.226 
7720.993 
7 517-615 
7 319-951 

7 Z27.863 
6 940.969 

6759 154 
6 583.305 

6 4Z0.093 



6 242.419 
6079.193 
5 920.130 
5 764.770 
5 6Z3.Z84 



5 461-358 
5 311-724 
5 162.305 
5 013.002 
4 863.588 

4 714.010 

4 564097 
4 413.706 

4 262.718 

4 111.043 



427 355-12 
412 943.75 
398 971.50 
385 420.23 

37a 272,55 

359 512.35 

347 124.73 

335 095 37 

323 410.99 
312 058.83 

30Z 027.05 
990 «H.24 
279 879.84 
269 743. 
259 885 

250 397.06 
340 968.70 
331 893.10 
223 059. 3Z 
214 463.09 



2o6 094.88 

97 940.13 
90 018.90 

83 997 9Z 

74 780.99 

67 460 34 
60333.48 

53 39'. 51 
46 632.36 
40 050.05 

33 639.96 
27 397.54a 
21 318.349 
Z5 398.294 

09 633.454 



Z04 021.270 
98 559912 
93 348.188 
88 085.883 
83 073.881 



:^ 



78 309.1 
73 495 283 
68 931 'XSS 
64 517.480 
60 354. 76Z 



Actuaries' Table. 



51 



Table U.—CohL 
COMMUTATION COLUMNS.— FOUR PER CENT. 



Age. 


D, 


K. 


S. 


M. 


K. 


66 


7340.54 


80 583.64 


738 367.93 


3 958.840 


56 X43.718 


66 


690530 


73 678.34 


657 784.29 


3 805.930 


53 184.878 


67 


6486.16 


67 192.18 


584 105 95 


3 652 379 


48 378.948 


68 


608278 


61 109.41 


516913.77 


3 498.461 


44 726.569 


69 


5694.50 


55 414-91 


455 804.36 


3 344-137 


41 338.107 


69 


5 320.82 


50094.09 


400 389.45 


3 189.473 


37 883.971 


CI 


4960.96 


45 133.13 


350 295.36 


3 034.269 


34 694497 


62 


4 614.60 


40518.53 


305 162.23 


3 878.706 


31 660.229 


68 


4 281.38 


36 237 25 


264 643.70 


2 722 872 


28 781.523 


64 


3960.84 


32 276.41 


228 406.45 


3 567.101 


36 058.650 


66 


3 653.02 


23 623.40 


196 I ^.04 


3411.617 


23491.549 


66 


3 357.63 


25 265.72 


167 506.64 


2 250 779 


21 079.933 


67 


3074.81 


22 190.90 


142 240.92 


a 103.056 


18823.154 


68 


3804.37 


19 386.54 
16840.04 


120 050 02 


I Q50.870 


16 720.098 


69 


2 546.50 


loo 663.48 


I 800. 8c4 


14 769.228 


70 


2 301.43 


14 538.61 


83 823.44 


I 653 737 


13968.3644 

11314.6275 

9 804.5814 


71 


3069.22 


12469.383 


69 284 83 


I 510.046 


78 


I 850.05 


10 619 334 


56815.45 


I 370.457 


78 


X 64^.04 


8 975.290 


46 196.115 


I 335 6082 


8434.1247 


74 


X 451.37 


7 523.921 


37 220.825 


X 106.1658 


7 198.5165 


76 


I 272.086 


6 351.835 


29696.904 


982.7048 
865.8194 


6 092.3507 


"16 


1 106.275 


5 145.560 


25 445 069 
18 299.509 


S 109 6459 


77 


953.971 


4 191.589 


7560649 


4 243.8265 


78 


815.031 


3 376.557 


14 107.920 


653.8165 


3 487.7616 
2 833.9451 


79 


689.394 


3 687.264 


10 731.363 


559.4261 


80 


576.578 


3 1 10. 685 


8044.099 


473.2214 


2274.5191 


81 


476.560 


1634.126 


5 933 413 


395.3799 


I 801.2977 


U 


388.838 


I 245.2875 


4 209.287 


3259874 


I 405.9»78 


88 


312.868 


932.4198 
6845059 


3 053.9994 


364.9721 


1 079.9303 


84 


247.914 


3 131.5796 


313.0516 


814.9583 


86 


193.163 


491.3424 


I 437.0737 


166.8363 


603.9067 


86 


X47.641 


343.7014 


9457313 


128.7432 


436.0703 


87 


110.3786 


233.3228 
152.8987 


602.0298 


971593 


307.3272 


88 


80.4242 


368.7070 


71.4 ■>02 


210.1678 


89 


56.8171 


96.0816 


215.8083 


50.9363 


X38.7176 


90 


38.6584 


57.4232 


119.7267 


34.9630 


87.7813 


91 


25.1380 


32.2852 


62.3035 


22.9294 


52.8183 


9a 


8.8328 


16.8395 


30.0184 


14.3040 


89.8889 


98 


8.0066 


13.1789 


8 1851 


15.6849 


94 


4.6098 


3.3968 


5.1723 


4.3019 


7.4998 


96 


3.1440 


1.3528 


1775'; 


3.0133 
.8089 


3.1979 


96 


.8570 


.3958 


.5226 


X.1845 


97 


.2895 


.1063 


.1268 


.2743 


.3757 


98 


.0857 


.0306 


.0206 


.0816 


.1014 


99 


.oao6 


.0000 


.0000 


.0198 


.0193 



52 Commutation Tables — Actuaries* ii}i Per Cent. 



Table III. 

COMMUTATION TABLES. ACTUARIES' TABLE. 
THREE AND ONE-HALK PER CENT. 




s 



M 



n 



10 

11 
u 

18 
14 

16 
16 
17 
18 
19 

80 
81 
88 
88 
84 

86 
86 
87 
88 

89 

80 
81 
88 
88 
84 

86 
86 
87 
88 

89 

40 
41 
48 
48 
44 

46 

46 
47 
48 

49 

60 
51 
58 
63 
54 



70891.881 
68031.548 
65284.923 
62647540 
601 14.491 

57681.123 

55343 583 
5^)97.630 

50939731 
48866.026 

46873313 
44958 o^ 
431 17 389 
41348.363 
39647.821 

38013 408 
36442.563 

34932.5" 
33*81.008 

32085.513 

30743976 

29454073 
28213.917 

37:>3I 387 

25874 7^3 

24772389 
23712374 

23693 203 
31713.407 
20771.315 

19865.580 
18994.913 
18157.820 

173^2 658 
16577.227 

15829.291 
15 107 229 
14403.955 

13733534 
13079.903 

12447-253 
11834.648 

11241 219 

10666 156 

10108 704 



1506695 173 
1438663.630 
1373^78708 
1310731.168 
1250616.677 

XI9293S.S55 

1 13759*973 
1084494.353 

loi3«^54 622 
984688.596 

937315.281 
892837.244 

84973'?955 
8:>83»i 693 
768743.872 

7307.^461 
6942B7.901 

6>91553«9 
625874.381 

593788.808 

563044.892 
533590.822 
50^376.905 
47835';-5i8 
452480.755 

427708.366 
40399:. 992 
38H02.790 

359589383 
338818.008 

318952 4S8 

209957 575 
281799.755 
2644 ;7 007 
247869.870 

232-»40 579 
2i6:)3^35o 

202^2 *.3Q5 
1 88700. F6 1 

i757»o.953 

163263.705 
151429057 
14.J187 833 
12g;2l 682 
II 541 2 978 



3748379831 

25977103 03 
2453843940 
23165060 69 
31854339 53 

30603713.84 
I94IC777.28 
18273185.31 
1718869096 
I6155I36.34 

15170447.74 
14332633.46 

13330775-21 
13490035.26 
12681643.57 

II9T2899.69 
II 182169.23 
10487881.33 
9828525 940 
92C265I.559 

8608862.691 

8045817.799 
7512226.977 
7006850.072 
6528494.554 

6076013.790 
5648305.433 
5244309441 

4863006 6 • I 
45034>7.263 

4164599 200 
384^646.712 

35456^9.137 
3263880 382 
3999443.285 

2751572.415 
2519531 836 
2 30 -'598 486 
2100074 o>i 
1911283.230 

1735572.372 
1572.308. 5'>7 
1420879.510 
12S069T.672 
I151169990 



17543524 
17080.501 

16634.459 

16304.779 

15790.348 

15389734 
15002.764 

14638.334 

14366.007 

13914901 

13574 664 
13244.476 
12924.046 
13613.093 
13310.903 

12017.238 
11731.869 
1 1 154 176 
11183.964 
10930.678 

10664. 15S 
10413.902 
10 1 69. 78 1 
9931 34'^o 
96984880 

9471 1055 
9248.8038 

9531 4903 
8819.1082 

8611.2853 

8407 9645 
8209.0789 
8014 3254 
7823.1062 
76345685 

7447 2157 
72^0.4454 
7073.0428 
6884 8^7 
6693 6688 

6505. '^35 1 

6313 6529 
6120.4296 

592!;. 5042 
5728.7445 



561018 40 
543474.87 
526394.37 
50975991 
49355513 

47776489 

462375- 15 
447372 39 
432744.06 
41847806 

404563 16 

390988.49 
37774402 

364819 
352206 

33989598 

327878.74 
316146 87 
304692.69 

293508.73 

382588.05 

271923 89 
361509.99 
351340.21 
341408 86 

331710.38 
222239.27 
21299047 
2039^897 
195139 86 

186528.57 
178120 61 
169911.53 
161897.20 
154074.01 

14643944 
138992 22 

131731 78 

124658.74 

117773.86 

111078.19 
104572 85 
98250. 108 
92138.769 
86213.264 



Commutation Tables — Actuaries* ^}i Per Csnt. 53 



Table III.— CVwi;. 

COMMUTATION TABLES. ACTUARIES' TABLE. 
THREE AND ONE-HALF PER CENT. 



Age. 


D 


N 


S 


M 


R 


65 
66 
67 
68 

69 


9568.^ 
9044.613 
85^.663 
8014.429 
7567.316 


10984451a 

100799.899 

9226^236 

84218.807 

7665149* 


103x757.0x2 
921913.500 
82XX 12.601 
728849.365 

644630.558 


5530.3468 

5330.0643 
5127.9699 

4924.4150 
4719.33SS 


80484.590 

74954.173 
69624.109 

64496.139 
59571 724 


60 
61 
69 
68 

64 


7104.894 
6656.38s 
6221.555 
5800.049 
5391860 


69546.597 
62890.2x2 

56668657 

50868608 

45476.748 


567979.067 
498432470 
435542.258 
378873.601 
328004.993 


4512.8X3A 

43045676 

40948323 

3883.7174 
367X.6667 


54852.388 

50339 575 
46035.007 

41940.175 
38056.458 


66 
66 
67 
68 

69 


4996.846 
4615.050 
4246.677 
3891.866 
3551.075 


40479902 
35864.852 
31618.175 
27726.309 

24175 234 


283528.245 
242048.343 
206x83.491 
174S65.3»6 
146839.007 


3458.9849 
3246. X637 

3033.8549 
2822 6536 

36x3.4700 


34384.79X 
30025806 

27679.642 

24645 788 

2x823.135 


70 
71 
78 
78 

74 


3224.8^2 
2913.463 

2617449 
23^7 229 
2073285 


209^0.402 
X8036 939 
15419 4QO 
I30S2.26I 
1 1008.976 


122663.773 

10x713 371 

8^676.432 

68256.943 

55174681 


2407.31x8 
2204.9952 
2007.504X 
18x5.7987 
Z630.8898 


X9209 665 
16802 353 

" 14597 358 
■ 1 2589. 854 

10774055 


76 
76 
77 

78 
79 


1825.959 
I59S 621 
1382 596 
1186.937 
1008.672 


9x83.017 

7587306 

6204.800 
50x7.863 
4009. X9I 


44x65.705 
34982.688 

2739^.292 
2XX90492 

16x72.629 


14536734 
X 285. 085 1 

1 126 0x73 

977.1 I2X 
8389866 


9M3.1653 
7689 4919 
6404 4068 

5278.3895 
4301.2774 


80 
81 
89 
88 
84 


847.806 
704.125 
577.2904 

4667443 
3716310 


3I6X.385 
2457.260 

1879.9697 
I4I3.2254 
104x5944 


X2X63.438 
90020527 
6544.7926 
4664.8229 

3251.5975 


712.2303 
597.2x82 

494.1945 
403 X702 

3238407 


3462.2908 
2750/605 
2x52.8423 
X658.6478 
1255.4776 


86 
86 

87 
88 
89 


2909572 
223 4621 
167.8707 
122.9051 

87 24784 


750.6372 

527 175 1 

3593044 

236.39934 
149.15x50 


22x0.0031 

X459.3659 
932 X908 

572 8864 

336.48707 


2557341 
X98.O782 

150.0435 

1x07546 

7925367 


93 '6369 
675.Q028 
4778246 
327.78x0 
2x7.0264 


90 
91 
98 

98 
94 


59.65039 
38.97561 
24.06371 
13.82760 

7.25145 


89.50x11 

50.525SO 

26.46179 
12.63419 

5.38274 


18733557 
9783446 
47.3^896 

3084717 
83x398 


54.60661 

35 94900 

22.35512 

12.93277 

6.82421 


1377727 
83 16612 
47.2x7x2 
24 86300 

11.92923 


95 
96 
97 
98 
99 


3388S8 
1.36x22 
0.46209 

0.X3737 
0.03318 


1.99386 

0.63264 

0.17055 

0.033x8 
0.00000 


3 83C34 
0.83638 
0.20374 
003318 
0.00000 


3.20686 
1.29379 
0.44070 
X3x6[ 
0.03206 


5.10503 
1.898x6 
0.60437 
0.X6367 
0.03206 



54 Commutation Tables — Actuaries' 3 Per Cent. 







Table IV. 








.COMMUTATION TABLES. ACTUARIES' TABLE. 

THREE PER CENT. 


Age. 


D 


N 


S 


M 


R 


10 
11 
12 
18 
14 


74409391 
71753769 
69191.125 
66718 250 

^331-391 


1737895587 
1666141.818 
1596950.693 
153023244? 
1465901.052 


1 

3487524957 
3313735398 
3147x212 16 
29874261 47 
28344029.03 


21623.8C8 
21135 452 
£0662.722 
20205.122 
19761.512 


74373536 
7231XX.55 
700976.10 

680313.37 
660x08.25 


16 
16 
17 
18 
19 


62026971 
59802 2 15 

57653 8 n 

55579 278 
53575-521 


1 

1403874 081 
1344071.866 
1286418 033 
1230838.755 
1177263.234 


26878127.98 

25474253 90 
24x30x82.03 
2284376400 
216x2925 25 


i93:V>-823 
18912 678 
X8506.X07 
x8 1 10.790 

17725847 


640346.74 
62x0x5.92 

602103 24 

583597.13 
565486.34 


20 
21 
22 
23 
24 


51640.230 
49770.613 

47964.530 
46219915 

44534-270 


112^623 004 

107S852.391 

1027887.861 

98 667.946 

937133676 


2043566202 
193XJO39.02 
18234186.63 
17206298 77 
X 622 4630. 82 


1735X.009 
16^5.475 

I()629 023 

16281.432 

1594x998 


54776050 

53040949 
513424 ox 

49679499 
480513-56 


25 
26 
• 27 
28 
29 


42905.69s 
4T332.357 
3«)8i2oi9 
38342 99s 
36923.226 


894227 981 
852895.624 
813083 605 
774740 610 

737817-384 


X52S7497 X4 
14393269.16 

13540373.54 
12727289.93 

"95254932 


15610.539 
X5286.880 
14970.398 
X4660.947 

14357-964 


464571.56 

448961.02 

433674.14 
418703-74 

404042 80 


30 
31 
82 
33 
84 


35551. 161 
34224.900 
32943.018 
31703760 
30505.816 


702266.223 
668041.323 

635098305 

603394 M5 
572888.729 


IX2X473X 94 
105x246572 
9844424 394 
9209326 089 
8605931544 


14061.333 

13770.543 
1348s 503 
13205 750 

I293X.2I6 


38968483 
375623 50 

361852 96 

348367-45 
335X6X.70 


85 
86 
37 
38 
39 


29347.917 
38228.483 

27146.347 
26100.374 
25089.146 


543540.812 
5 15 312 329 
488165.982 
462065 608 
436976.462 


8033042.8x5 
7489502.003 
6974189.674 
6486023 6 42 
6023958.084 


12661.835 
12397.196 

12137.249 
XX88I.946 
11630.922 


322230.49 
309568.65 
297171 46 

28;o34.3i 
273x52.26 


40 
41 
43 
43 
44 


24x11.615 
23166.768 
22253 327 
31369 797 
ao5i3-953 


412S64 847 
389693.0 9 
367444-752 

346074 9S5 
325561.002 


558698x622 
5x74116.775 
4784418.696 

4416973944 
4070898.989 


II384.I44 

1114x577 
X0902897 

10667.521 

10434.099 


36X52X.34 

250137-19 
238995-62 
238092.72 
317425.30 


45 

46 
47 
48 
49 


19683.489 
18876.807 
18091 700 

17327 356 
16582.791 


305877.513 
287000.704 

2689'X).oo4 

251581 6|8 

234998857 


3745337-987 
343^6^.474 
3152459 770 
2833550 766 
263 1969. X 18 


1020 [ 128 

9967.7548 
97324545 

949v0537 
9255-1695 


30699x10 

19678997 
186822.22 

177089.76 

167594.71 


60 
51 
52 
53 
64 


15857320 
15150.075 
14463.256 
13787. 122 
13129.988 


219x41-537 
203991.462 

1 8:^531. 206 

175744084 

162614.096 


2396970 26X 
2177828.724 

1973837 262 
1784306 056 
1608561 972 


90x3.6917 
8767.3 '05 
8518 7557 
8266. 794 X 
8011.2270 


158339.54 
149326.85 

140559 54 
13204078 

123773-99 



Commutation Tables — Actuaries* 3 Per Cent. 



55 



Table IV. Lont. 

commutation tables. ACTUARIES' TABLE. 

THREE PER CENT. 



Age. 



66 
66 
67 
68 
69 

80 
61 
68 
63 
64 

66 
66 
67 
68 
69 

70 
71 
78 

78 
74 

76 
76 
77 
78 
79 

80 
81 
88 
88 
84 

86 
86 

87 
88 
89 

90 
91 
98 
98 

94 

96 
96 
97 
98 
99 



12488.615 
XI 86a. 195 
11250.3S6 

10653. 1X2 

10069.9246 

9500.470a 

8943.9451 
8400 2602 

7869.1640 

7350.8705 

6845.4050 
6353 OS57 

5874.3331 
5409.6665 

49599295 

4536 1x83 
4108.9560 

3709-3972 
3338.3564 

2966.8145 

a625.«;795 

33055134 
2007.4097 

17316945 
1478.7588 

1248 9556 
1042.3246 
858.71807 
697.65114 
558.18033 

439.13164 
338.90088 
255 82730 
188.21086 

«34-25576 

9aa3475 
60.55882 

3757077 
ai.69390 

XI.43190 

536850 
a. 16684 

0.73915 
o.aao8o 
0.05359 



N 



X50X25.481 
138263.286 
127012.930 
1 16359 8179 
106289.8933 

06789.4231 
67845.4780 
7944s 2178 
71576.0538 
64225.1833 

573797783 
51026.7226 

4515a 3895 
39742.7230 
34782.7935 

30256 675a 
26147.7x92 
22438.3230 
19109.9656 
X6X43.X511 

135^7.5716 

xx2[a 0583 

93046485 

7472.9540 

5994 1952 

474523959 
3703.91499 

3844.19693 

3146.54578 
1588.36546 

1149.33383 
810.33304 
55450564 
36639478 
233.0390a 

X39. 80437 

7924545 
41.67468 

19.98078 

8.54888 

3.18038 
1.01354 
0.37439 
0.05359 
0.00000 



1445947.876 
1295833.395 
"57559 109 
X030546.X79 
914186.361 

807896468 
711X07.OA5 
633361.567 

5438x6.349 
472240.395 

408015. 113 

350635.334 
399608.611 

354456233 

314713 499 

179930.706 
149674.031 
133526.3x3 
101087.990 
81978.024 

65834 873 
53317 301 

41105.3426 

31900.5041 

34427.6401 

18413.4449 
13688.3053 

99853303 

7 141 0934 
49945476 

3406. X83Z 

2256.9483 

1446 6154 
893. ioq8 
535.8150 

393.7760 

153 9717 
7473624 

3305156 

13.07078 

4.52x90 
1. 34152 
0.32798 
0.05359 
0.00000 



M 



7752.2815 
7489.6069 
7323.2693 

69537048 
6680.8029 

6404.647a 
6124.8348 
584X.6530 
5555 3249 
5266. X305 

4974.7681 

4681.7995 
4388 1x74 

40945478 
3803.3741 

35x30369 
3327 6930 
2947.8127 
3674.8x28 
2410.2x32 

3155.3903 

X9II-7973 
1680 8446 

14615977 
1261.0997 

1074.3672 
904.x 135 
750.8060 
614.8103 

4956595 

393.8685 
305.43803 
332.22536 
172 06020 
X 23. 58696 

8547631 
56 48683 

35.26264 
20.48007 
10.84993 

5.11950 
2.07420 
0.70963 

0.3X38I 
0.05203 



X 15762.76 

108010.48 
XOO52O 87 

3297 6c« 
6343.898 

79663.095 
73258.448 
67133-6x3 
6129x960 

55736.735 

50470.605 

45495.837 
4^814.037 
36425.920 
32331.373 

28528.998 

35015-971 
31788 378 
18840.^65 
16165.65a 

13755-439 
11600.049 

9688.25x6 

8007.4070 

6543-8093 

5282.7096 
4208.342^ 
3304.2388 
3553-36*8 

1938.5535 

X44a.8930 
1050.03^5 

744.5905 
513.3711 

340.3109 
3x6 7339 

X3I.3476 
74.76080 

39.49816 

19.01809 

8.I68I6 

304866 
0.97446 
036484 
0.05303 



Actuaries' Table. 



Ap. 


T„„.P„C^. 


THUIAKDOHB-ILUf 

Pm Cut. 


TottUPa Can. 


B.. 


c 


«.. 


c 


-.. 


=- 


la 
11 
u 
11 

M 


I.037M 

I. 03710 
r.0371S 


!oo6664 
.00669s 


104307 
1.04310 
t Q41>4 
..04^9 


.oofi6l7 


104708 
l.a!7H> 

1.04713 
1.04731 


i 


It 

la 

» 

u 


i.037«> 
I.o37a6 
1-0373" 
1,03740 
1.03748 


.006741 


I-04»4 

1.04330 
104336 

I.Q4351 


iooesS 

.006963 


1.047=7 
104733 

1-04747 
1-04755 


.006677 
.006733 

■^^ 
.006939 


M 
U 
H 


I.037S6 


.007347 
.007344 
■007443 


I.O,37J 

1.04389 

I.043CU 


-007041 

.007113 
.00730S 
-007407 


1.04764 
I.01773 
1.047S1 
104793 
1.04803 


jOTOio 
■Oo7tk*3 

.W17373 
.00737. 


n 

M 

■7 

■1 


I.03B07 

I.D3B19 
1.03831 
i.03&,S 
1.03859 


.007544 
.007657 
.007773 


1.04310 
r.04333 
I0433S 
1.04349 
1.0436+ 


■007995 


1.04614 
1.04B37 
1.04839 
i,048;4 

1.04868 


.007471 

■m 

•oo795'5 


n 
11 

11 
u 

M 


I.03f7S 
1.03891 
t.o39o« 
103917 

103945 


3" 

.00849a 
.008659 
.□□8831 


104379 
1.04396 
i-044'3 

1.0443. 
1-04450 


.008140 

.008388 
.00B451 

!ooS78J 


1,04884 
1.04900 
1.04918 
1.0193a 
I-049S5 


!oo834e 

.008410 

.OOB576 
.008746 


U 
H 
•7 
M 
S* 


..03966 
t.03986 
1.04007 
1,04031 
1.040M 


.009017 

.009109 
.009405 


1.04470 

1.0449' 

I:^3fi 
104 59 


.008974 
.009161 
.009359 


1.05017 

I,05OiQ 

1.05064 


-009314 

-0095>5 
.009741 


4a 

u 
u 


1.04078 
104105 
1.04134 
l,Q4'7a 
I.04319 


.010303 
-010577 
.010913 
.011357 


1.04184 

l!o454Q 
..Q467B 
104733 


.oioasi 
!oii303 


■■OS. 83 
1-05331 


.011347 


41 

4a 

n 

41 

41 


1.04371 
104339 
1.044M 
1.0*49 > 
I.04S7S 


.oii8:;6 
.01146S 

^013844 
.0146M 


I.OSOJ3 


.011799 
.0.2403 
.013059 
.013777 
.014553 


1.05386 
"-OS331 
1.0543s 
105504 
1.05593 


.M174" 


M 

11 
H 
U 
M 


I.0466S 

i.oyx5 
1JJS136 


.OIS474 

.01^406 

.018537 
.0197" 


1.05 I7« 
1. 05179 
1.0539; 

!:os^6 


.0196-6 


1,05684 
1.05788 

.06156 


SS5S 

.017357 
,018359 

.019531 



Actuaries* Table. 



57 



Table V.—Comi, 
ACTUARIES* TABLE. VALUATION COLUMNS. 



Thkbb Pbk Cbmt. 



Aft. 



M 
M 

67 
61 

69 

60 
61 

6a 

6S 

64 

66 
66 
67 
68 

69 

70 
71 
78 
78 
74 

76 
76 
77 
78 
79 

80 
81 
8S 
88 
84 

86 
86 

87 
88 
89 

90 
91 
98 
98 

94 

96 
96 
97 
98 
99 



Us. 






05791 
05994 

06222 
06472 
06749 
07051 
07384 

07750 
08149 
08589 
09067 

09585 

10153 
10772 

1 1448 

I2i86 

'3997 

13883 

14850 

15922 
1710S 

18400 

19824 
21381 
23087 
24987 
20890 

29575 
32473 
35926 
40188 
46643 

52306 
61x86 
73186 
89766 

"944 

2.47757 

2.93153 
34760 

41 2017 



cs. 



.021033 
.022453 
.023960 
.025617 

.027423 

.029453 
.03x661 

.034098 

.036738 

.039636 

.042798 
.046227 

.049975 
.054010 

.058337 

.0^042 
.068115 

.073597 
.079498 

.08589X 

.092777 
.100174 
.10S222 
.X 16936 
.126376 

.136317 
.147025 

.158441 
.X70788 

.184153 

.199121 
.216000 

.235179 
.257548 
.283866 

.3M30I 

.350473 

•393459 
«4439io 

.501266 

.5^52 

.629756, 

.672x44 

.728x55 

.970874 



Thrxk and Onb-half 
Pbk Cbnt. 



Ui. 



05792 
05950 
.06119 



8 




.07267 
.07570 
.07905 

08273 
08674 
09x17 

09597 
10117 

10687 

11309 
11989 

12731 
13545 

14435 
X54c8 

16484 

17073 
18974 

20406 
21971 
23684 
25593 
27727 

30204 
33x16 

40869 
46265 



S- 
6i( 

74027 
.93687 

2.13981 

2.48959 

2.94579 

330383 
4.14014 




020932 

022344 

023845 

025493 
037291 

029310 
031509 

033933 
036560 

309445 

042591 
046004 

049733 
053749 
058055 

063737 
067786 
073241 
0791 14 
085476 

092329 
099690 
1077CO 
116371 
125666 

135658 
14631S 
157671 
169961 
183256 

198159 
2x4956 
234042 

256303 
382495 

312782 
348780 
391558 

44'765 
498841 

564511 
6267x4 

668897 
7246^8 
966183 



Foum Pbb Cbkt. 



06303 
06462 
06632 
06819 
07033 

07254 
07506 
07786 
08090 
08427 

08796 
09199 
09644 
10126 
10648 

II223 

XI847 
12530 

13275 
14093 

14988 

15965 
17047 

18243 
19549 

20987 
22560 
24282 
26300 

28344 
30833 

33759 
37246 

41549 
46972 

S3785 
62751 

74867 
91609 

15011 



3 50163 

295999 
337999 
415999 



.030831 
.022237 
.023730 
.025371 
.027160 

.039169 
.031357 
.033770 
.036384 
.039355 

.043386 
.045783 

•049494 
.053490 
.057776 

.062436 
•067460 
.072889 

.078734 
.085065 

.091885 
.0992XX 
.X07182 
.115812 
.125063 

.135006 
.145611 

.156917 
.169146 
.182383 

.197207 

•213923 
.232917 

.255071 

.281137 

.311279 
.347103 
.389676 

.439641 
•496446 

.561798 
.62370X 
.665680 
.72x154 
.961538 



INTRODUCTION to H^ AND H^ TABLES. 

The Healthy Male and Healthy Female Tables, some- 
times known as the Institute of Actuaries* Tables, which 
must not be confused with the Actuaries* Tables, and often 
referred to as the Twenty Offices* Tables, because the 
mortality statistics of twenty British offices were employed 
in making it, was published in 1869. It was the work of a 
number of English and Scotch actuaries, under the joint 
control of the Institute of Actuaries of London and of the 
Faculty of Actuaries of Scotland. The famous Woolhouse 
had charge, and his method of graduation, the most per- 
fect adaptation of the system of graduating by differences, 
was adopted; indeed, it was invented for the work. Very 
full tables, commutation and derived, were published by 
the Institute of Actuaries in connection with this table. 

Just as it thus reached perfection, the old system of 
graduating was ready to be discarded. What had formerly 
seemed nearly a chimera, viz., the idea of discovering a 
law of mortality and applying that law in graduation, was 
realized. Makeham's formula became recognized as offer- 
ing great advantages over all that preceded it. The con- 
sequence was that from the same data another set of mor- 
tality and commutation tables were evolved by applying 
Makeham's formula instead of Woolhouse's. These tables 
were published in the Text- Book of the Institute of Actu- 
aries, which appeared in 1887. They are reproduced here 
by special permission of the Institue. 

In the following pages the results of both systems of 
graduation for male lives are presented. We also present 
a mortality table known as H^'* which illustrates the mor- 
tality, the first five years of insurance being eliminated. 



H" (Woolhouse) Tabli£. 



A,t 


N...ivin,, 


„..„...,. 


P.cb»biliiy dI 


PlolnbLUly al 


10 


lOOODO 


490 


■995 'oo 


.0049000 




99SIO 


397 


:SSSI 


.003989 s 




99 H3 ■ 


in 


.003 319 4 




947s* 


■997084 5 


■ooa 9'S S 


1* 


gS49fi 


aTI 


■997 "38 s 


.00276. S 


1( 


98 M4 


bBi 


.9OTIJ90 


.00287.0 


1( 


^t^ 


3'" 


-996 753 3 


.003 246 8 




379 


.996 .17 8 


.O03S8a» 




97 345 


466 


■995ao8o 


.0047910 


I* 


96779 


S56 


■9«aS5 


■005 745 


10 


96 »3 


&>9 


■993 67' 


.006 3290 




9i6i* 


&43 


■993 »7S 




ti 


94 97' 


eso 


-993 'S5 8 




IS 


94 33' 


638 


SSIl 


.006764 I 




931^3 


6u 


,0066394 


» 


93061 


6t7 


.993 369 9 


.006630 r 
.oo6 6Ss I 


M 


T.a 


Si8 


■993 3'4 9 




634 


■993 09i 6 


■0069044 


11 


91 193 


6M 


.962 SiS 3 




tl 


9OSJ8 


673 


.99256*7 


-007 433 3 


M 


!»»' 


?a 


.99»>77 3 


.007722 7 




fa .71 


■ 9SO 082 6 


.007 917 4 




8B46S 


7'7 


.991 895 1 


.Dc8 10, 9 


U 


87748 


Tl 


99" 7'4 9 
.9914963 


.008 28s I 


M 


■70a. 


740 


■ooB 503 7 


tt 


SfiiBt 


737 


■99' "5 3 


008 77,7 


M 


*S.W 




,990 891 4 


.009 .08 6 


•7 


"4 74S 




■993 S36 .1 


.ooj 463 7 




83943 


891 


.990 "'9 6 


.0097S04 


n 


83 i« 


B3B 


■989 9iB 4 


.010 oai 6 


M 


8>3S4 


S4B 


-9896942 


.010 305 8 




8143 


8S4 


-989 5'3 2 


.010 4B6 8 


U 


gosSa 


865 


.989 265 6 


■Oio 734 4 




79 7-7 


B67 


.988 B7i 1 




■M 


rsejc 


S" 


.9884435 


:«1 556 S 


11 


77 9'9 


9SO 


.987 807 9 


■012 191 I 




76969 


996 


■987 059 7 


.on 940 3 




7S973 


-S. 


.9862978 


.013 702 1 




74 93" 


.985 S6o 2 


.014 439 B 


U 


738SO 


1124 


■9847800 


0.S ^ 


M 


7^7*6 


Ilfo 


.984 oig 7 


■OIS 950 3 


11 


7. S66 


"93 


■981 330 ' 


.0.6 Vk % 




70373 
69 13S 


'»33 


.982 450 7 


<-I7 5J9 3 




laSa 


■98' 309 i 


.018 603 ^ 


" 


67851 


1339 


.^563 9 


.019 ^34 I 



H** (Wooluouse) Table. 





tt 

IB 
M 


No. Livin,. 


d™..,. 


PcDbabnilT ol 
Sumving, 


Dytng. 




60533 


is 

I5"7 


■97B966S 
.977 547 1 
.976 010 a 
■974 374 a 
.973461 3 


.coi 033 5 

.033 9B9 a 

■oas 6»5 8 
■037 538 7 




W 

a 
m 

«4 


SBB66 

57 "9 
55*89 
S3 m 
5" 373 


191s 


.967961 6 

-965 363 e 

.961509 B 

-939 S89 7 


.0396776 
.03a 03B 4 
.034 636 1 
■037490 a 
.0+0 410 3 




i 


40443 


aH3 
a»74 

3319 


-9S6 S69 4 
-953 431 a 

.94^6600 


31 S? 

.049 838 8 
.053 334 I 
.057 340 




T( 


3a 114 
35 753 

SIS 


S37I 

=433 
=497 


.923 '60 


.06a 191 S 
.ohH o.;o a 

!^i ^6^ 2 
.091 19s 3 




Jj 


3565. 
33164 

10700 
iS 310 
.6S6S 


■if 


sai; 

.B8s 314 


.098 3«[ 3 

.133 3X3 9 

.133 059 s 






13930 
" 91S 

1003a 


i 


-ass 348 I 

ill til 

,8.4 146 5 
.801 lai 9 


..98 877 I 




» 


I 955 


1 138 

9(> 
495 


.790 IM 3 
.7803455 
.76B 770 6 
.760 7t« 4 
.746 803 1 


.a«, B85 7 
■a.9 654 5 
.331 »a9 4 
.339 399 6 
.aS3 196 9 




H 

n 

M 
M 


1 460 

1 05a 

"74 


40S 
3»9 
'95 


■Tao S47 9 

.584 «. 7 
.49a 700 8 


.379 453 I 
■311 737 7 
■351 314 
■4'5 778 3 
.507 3993 




H 


"35 
9 


9 


.3619619 

■'83673 s 

.OOOOQOO 


.637 037 I 
.B16 336 s 



62 



H*" (Woolhouse) Table. 







Table H. 








COMMUTATION COLUMNS. Hm TABLES. 




WOOLHOUSE'S 


FORMULA. 


FOUR AND ONE-HALF 


PER CENT. 


Age. 


D. 


N. 


S. 


M. 


1 


10 


64 39^.8 


X x88 642 


20 229 255 


10 434-33 


327^960.1 


11 


61 3179 


I 127 324 


19 040 613 


10 132.39 


317 525 8 


18 


58 443-4 


I 068 88z 


17 913 289 


9 898.29 


307 393-4 


IS 


55 741-0 


I 013 140 


16 844 408 


9 7x2 65 


297 495-1 


14 


53 185 2 


959 954 7 


1 15 8ji 268 


955714 


287 782 5 


16 


SO 754 3 


909 200 3 


14 871 313 


9 416.59 


278 325.4 
1 268 808.8 


16 


48 429.3 


86d 771 


13 962 113 


i 9 277 15 


17 


46 193.4 


814 577.6 


' 13 lor 342 


9 12668 


259 531 6 


18 


44 032.6 


770 545 I 


1 12 286 764 


8 95507 


250 404.9 


19 


41 934 5 


728 610.6 


II 516 219 


8 753-15 


241 449.9 


SO 


39 898.2 


688 712.4 


10 787 609 


8 522.6X 


233 696 7 


SI 


3"^ 9384 
36 060.6 1 


650 773-9 


10 098 896 


8 280.96 


224 174.1 


ss 


614 713.3 


9 448 122 


8 036 81 


215 803.2 


S8 


34 271 5 


580 441.8 


1 8 833 409 


7 80064 


207 856.3 


S4 


32 573 9 


547 807.9 


1 8 252 967 


7 578.80 


200 055.7 


S6 


30964.2 


516 903.7 


] 7 705 099 


7 371.84 


X92 476.9 


S6 


29 434 4 


487 469- 3 


! 7 188 196 


7 175 39 


185 105. 1 


S7 


27 978.6 


459 490. 7 


6 700 726 


6 98709 


177 929 7 


SI 


26 588.9 


432 901.8 


6 241 236 


6 802.23 


X70 942.6 


S9 


25 261.5 


407 640.3 


5 808 334 


6 619.76 


X64 140.4 


SO 


23 9940 


383 646.3 


5 400 694 


6 440.07 


157 520.6 


81 


22 783.4 


360 862.9 


5 017 047 


6 262.75 


15X 080.5 


9i 


21 629.7 


339 233 2 


4 656 185 


6 090.13 


X44 8x7.8 


88 


ao 530.5 


318 702.7 


4 316 951 


5 922.38 


138 727.6 


84 


19 483- 7 


299 219. 1 


3 998 249 


5 759.60 


132 805.3 


88 


18 486.1 


280 733.0 
263 198.2 


3 699030 


5 601.05 


X27 045 7 


86 


17 534-8 


3 418 297 


5 445.85 


121 444.6 


87 


16 626.9 


246 571 3 


3 155 098 


5 293.01 


X15 998.8 


88 


15 760.3 


230 810.9 


2 908 527 


5 142 43 


ixo 705.8 


89 


14 9342 


215 876.8 


2 677 716 


4 994 93 


105 503 3 


40 


14 147.0 


201 729.8 


2 461 839 


4 85085 


xoo 568 4 


41 


13 3983 


188 331.5 


2 2bo no 1 


4 711-31 ' 


95 717 54 


48 


12 686.9 


175 644.7 


2 071 778 


4 576.B8 


91 006 21 


48 


12 010.2 


163 634.5 


1 896 133 i 


4 446 56 


86 42933 


44 


II 3651 


152 269.3 


I 732 499 


4 3x8 68 


81 983.77 


46 


ID 750.1 


141 5^9 3 


X 580 230 i 


4 192.99 


77 664.09 


46 


10 161. 7 


131 357-6 


I 438 710 


4 067.57 


73 471.10 


47 


9 59829 


121 759 3 


I 307 353 


3 941 74 


69 403.53 


48 


9059.11 


112 700.2 


I 185 594 


3 815 88 


65 A6X.79 
61 645.91 


48 


8 54382 


104 156.4 


1 072 893 . 


3 690.70 


60 


8 051.47 


96 104.90 


968 737.0 


3 56627 


57 955 ao 


61 


7 581.86 


88 523.03 


872 632.1 


. 3 443 37 


54 38894 


68 


7 134-43 


81 388.61 


784 109 X 


3 322.43 


50 945 56 


68 


6 707.39 


74 681.22 


702 720.4 , 


3 202 6x 


47 623.14 


64 


6 299.17 


68 382.05 


628 039.2 ! 


3 083.23 


44 420.52 



H" (Woolhouse) Table. 



63 



Table IL — Cbn/. 

COMMUTATION COLUMNS. Hm TABLES. 
WOOLHOUSES'S FORMULA. FOUR AND ONE-HALF PER CENT. 



Age. 


D, 


N. 


s. 


i M, 


1 

R. 


66 
66 
67 
66 

69 


5908.95 
5 53557 
5 178.26 
4 836.39 
4 509.53 


62 473.10 

56 937.53 
51 75928 
46 922 89 
42 413.36 


559 657.2 
497 184.1 
440 246.5 

388 4873 
34' 564.4 


2 964.27 

2 84534 
2 726.40 

2 607.52 

2 488.92 


41 337.29 
38 373.0a 
35 527.69 
32 801.29 

30 193.76 


60 
61 
68 
6S 

64 


4 196 50 
3 896.61 
3 609.35 

3 33439 
3 071.09 


38 216.86 
34 320.25 
30 710.90 
27 376.61 
24 305.52 


299 1510 
260 934.2 
226 613.9 

195 903 
x68 526.4 


a 370.09 
a 350.91 

2 131.44 
2 on. 81 
I 892.19 


27 704.84 
25 334.75 
23 083.85 
20 952.40 
18 940.59 


66 
66 

«7 
68 

69 


a 820.08 
2 581 44 

2 355.24 
a 141.38 

I 940.08 


21 485.44 
18 904.00 
16 548.77 

14 407.39 
12 467.31 


144 22C.9 

122 735.4 
103 831.4 
87 282.66 
72 875.28 


I 773.43 
I 656.23 

I 541. »9 
I 428.75 
z 319.66 


17 048.40 

15 274-97 
13 618 74 

" 077.55 
10 648.80 


70 
71 
78 
78 
74 


I 750.08 

I 570.57 
I 400.66 
I 239.90 
I 088.19 


10 717.23 

9 I4$.663 
7 746.001 
6 506.108 
5 417.918 


60 407.97 
49 690.74 
40 544.08 

32 798.07 
26 291.96 


I 213.21 
I 109.06 
1 006.78 
Q06.337 
808.023 


9 329.138 
8 115.927 
7 006.870 
6 000.088 
5 093.751 


76 
76 
77 
78 
79 


946.366 
816.536 
698.258 
591.558 
496.335 


4 471.552 
3 655.016 

2 956.758 
2 365.200 
I 868.865 


20 874.04 
16 402.49 
12 747.48 
9 790.717 
7 425.517 


713.059 
623.981 

540.865 

404.233 
394.484 


4 285.738 
3 572.669 
2 948.688 
2 407.823 

I 943.590 


60 
81 
88 
88 

64 


411.764 

337035 

271.551 

2x5 331 
167.761 


I 457.102 

I 120067 

848.516 

633.186 

465.424 


5 556.652 
4 099.550 
2 979482 
2 130.966 
I 497.781 


331.286 
274.289 
22^319 
178.792 
140.495 


I 549.106 
I 217.820 

943.531 
720.213 

541.421 


86 
66 

87 
66 
89 


128.610 
97.240 8 
72.613 8 

53 4x9 4 
38.8863 


336.814 

239.573 
166.960 

113540 

74.654 


I 032.357 

695543 
455969 
289010 

175.470 


108.568 
82.736 8 
62.297 2 
46.229 8 
33.997 


400.926 

292358 
209.622 

147.324 
101.095 


90 
91 
98 
98 

94 


27.789 9 

19. 161 7 

ia.6o2 

7.822 7 

4.373 4 


46.864 

27.702 

15 100 

7.278 

a.904 


100.816 

53952 
26.250 

11.150 
3.872 


24.575 I 
17.143 6 

11.409 I 

7.172 4 

4.060 


67.097 

42522 

25.379 
13970 

6.797 


96 
96 
97 


2.062 
.716 a 
.125 9 


.842 
.126 
.000 


.968 
.126 
.000 


1.936 9 

.679 9 
.120 5 


2.737 
.800 
.121 



64 



H** (Woolhouse) Table. 



Table III. 

COMMUTATION COLUMNS. H" TABLES, 
WOOLHOUSE'S FORMULA. FOUR PER CENT. 



Age. 


D, 


N. 


s. 


M. 


R. 


10 


P |56.4 
64 659.8 


X 356 297 


24434 671 


la 793.8 


429295.1 


11 


z 291 658 


23 078 374 

31 786 716 


12 474.5 


416 503.3 


U 


61 905.7 


I 339 753 


13 336.0 


404 027.7 


18 


59 327.1 
56 8790 


I 170 425 


20556964 


13 039.0 


391 8oi.a 


14 


I XI3 546 


19 386 540 


XX 863.6 


379 772.2 


16 


54 5403 


I 059 005 


x8 372 994 


II 7IX.6 


367 900^ 
356 X98.0 


16 


52 392.0 


I 006 713 


17 213 988 


II 561. 1 


17 


50 117 6 


956 595 8 


16 307 375 


II 397 8 


344636.9 


18 


48 002.9 


908 593 
862 657.6 


15 250 679 


II 310.7 


333 239.1 
323 038.4 


18 


45 935-4 


14 342 086 


10989 s 


SO 


43 914.9 


818 742.6 


13479 4^9 
12 660 686 


10 735.8 


311 038 8 


81 


41 958.6 


776 784.0 


10 468.5 


30D 303.1 
289 834.5 


88 


40 073.5 


736 710 5 


II 883 902 


10 197.3 


88 


38 268.5 


698 442.0 


II 147 19a 


9933.49 
9 684.60 


279 637.3 
269 703.8 


84 


36547.8 


661 894.3 


10 448 750 


86 


34908.7 


636 985.5 


9786855 


9 451.27 


a6o oi9.a 


86 


33 343-6 


593 641.9 


9 >59 870 


9 228.73 


253 567.9 


87 


31 846-8 


561 795.1 


8 566 228 


9 014.40 
8 802.97 


241 339.3 


88 


30 4IO-5 


531 384.7 


8 004 433 


233 3248 


88 


39 031 1 


502 353-5 


7 473 048 


8 593.27 


333 531.8 


80 


27 707.1 


474 646 5 

448 3IO.d 


6 970 69s 


8 385.77 


. 314 928.6 


81 


36 435-7 


6 496 048 


8 180.03 


ao6 542.8 


88 


25 317.7 


423 993.2 


6 047 838 


7 978.77 


198 362 8 


88 


24 051.3 


398 941.9 


5 624 844 


7 782.25 


190 3840 


84 


22 934.6 


376 007.4 


5 235 902 


7590-64 


183 601.8 


86 


31 864.9 


354 142.4 


4 849 895 


7 403 12 


175 OII.X 


86 


20 839.5 


333 30a 9 


4 495 753 


7 218 66 


167 608.0 


87 


19 8555 


313 447.4 


4 162 450 


7 036.14 


160 389.3 


SS 


l3 911. 1 


294 536.3 


3 849 002 


6 855.46 


153 353-2 
146 497.7 


88 


18 005.9 


276 530.4 


3 554466 


6 677.63 


40 


17 138.9 


259 391.5 


3 277 936 


6 50307 


139 830. 1 


41 


16 3098 


243 081 7 


3 o«8 544 


6 333-24 


133 317.0 


48 


15 518.1 


227 563 6 


2 775 463 


6 168.78 


130 983.8 


48 


14 761. 1 


212 802 5 


2 547 899 


6 008.61 


120 815 


44 


14 035 4 


198 767.2 


2335 096 


5 850.68 


1X4 806.4 


46 


13 339 6 


185 427.5 


2 136 329 


5 694.72 


lo8 955.7 


46 


12 670.2 


172 757 4 


z 950 902 


5 538 34 


103 361.0 


47 


12 025.2 


160 732.2 


I 778 144 


5 380.69 


97 722.69 


48 


11 404 3 


149 327 9 


I 617 412 


5 222.25 


92 342.01 
87 H9.76 


49 


10 807.3 


138 520.6 


I 468 084 


5 063.91 


60 


10 233.5 


128 287 2 


I 329 5^ 


4 905.75 


82 055.85 


61 


9 682.92 


118 604.2 


I 201 276 


4 748.80 


77 150.10 


68 


9 155 30 


109 448.9 


I 082 672 


4 593-59 


72 401.30 


63 


8 64B.6S 


100 800.3 


973 223 3 


4 439. XI 


67 807.70 


64 


8 161.36 


92 638.91 


872 423.0 


4 284.42 


63 368.60 



H" (Woolholse) Table. 



65 



Table III.— Cont. 

COMMUTATION COLUMNS. Hm TABLES, 
WOOLHOUSES FORMULA. FOUR PER CENT. 



Age 


D. 


N. 


s. 


M. 

4 129.56 


R« 


65 


7 69259 


84 946.32 


779 784 I 


59084.17 


S6 


7 241.15 


77 705 17 


694 837.8 


3 973.98 


54 954.61 


67 


6 806.31 


70 898.86 


617 132.6 


3 817.65 


50 9J0.63 
47 162.98 


58 


6 387.53 


^ 5" 33 


546 233.8 


3 660.65 


69 


5 984-4«> 


58 526.87 


48Z 722.4 


3 503-26 


43 502.34 


•0 


5 59583 


52 931 04 


423 195 6 


3 344 79 


3999908 


61 


5 22092 


47 7x0.12 


370 264.5 


3 185.11 


36 654.29 


68 


4 859 28 


42 850.85 


322 554 4 


3 024 27 


33 469.18 


63 


4 510.55 


38 340.30 


279 703 6 


2 862.44 


30 444 91 


64 


4 174-47 


34 165.83 


241 3633 


2 699.84 


27 582.47 


66 


3 851.71 


30 314 12 


207 197.4 


2 537- 64 


24 882.62 


66 


3 54272 


26 771 40 


176 883.3 


2 376.79 


22 344 99 


67 


3 247.83 


23 523 58 


150 111.9 


2 218.16 


19 968.20 


68 


2 967.11 


20 556.47 


126 588.3 


2 062.36 


17 750.04 


69 


2 701.11 


17 855 35 


106 031.9 


I 910.48 


15 687.68 


70 


2 448.30 


15 40705 


88 176.53 


I 761.56 


13 777.20 


71 


2 207.73 


13 199 32 


72 769.47 


1 615.15 


12 015.65 


7t 


1 978.36 


zi 220.97 


59 570.15 


I 470.69 


10 400.50 


78 


I 759.71 


9 461 258 


48 ^9.18 
38 887.92 


I 328x3 


8 929.809 


74 


I 551.83 


7 909 431 


1 187.93 


7 601.675 


76 


X 356.07 


6 553366 


30 978.49 


I 051.86 


6 413.742 


76 


I 175.66 


5 377.711 


24 425.13 


923.602 


5 361.886 


77 


I 010.19 


4 367.521 


19 047.42 


803.355 


4 438.284 


78 


859938 
724.983 


3 507.583 


14 679.90 


691-957 


3 634 928 


79 


2 782.600 


XI 172 31 


590.076 


2 942.972 


80 


604.344 


2 178.256 


8 389-713 


497.321 


2 352.895 
1 855.575 


81 


497.043 


I 681.213 


6 211.457 


413.264 


88 


402.396 


I 278.817 


4 530.244 


337.734 


1 442.3" 


88 


320.620 


958.197 3 


3 251.427 


271-435 


1 104.577 


84 


250.992 


707.205 3 


2 293.230 


214.138 


833.143 


86 


X93.342 
Z46.887 


513.863 5 


I 586.024 


166.142 


6x9.004 


86 


366.976 9 


1 072.161 


127.123 


452863 


87 


110.214 


256.763 I 


705.184 


96.099 3 


325740 


88 


81.470 3 


175.292 8 


448.421 


71.594 8 


229.641 


89 


59.590 8 


115.702 


273.128 


52.848 8 


158.046 


90 


42.791 


72.911 


157.426 


38-340 9 


105.197 


81 


29647 I 


43.263 9 


84-515 


26.842 8 


66.856 


98 


19-591 7 


23.672 2 


41.251 


17.927 7 


40.013 


98 


12.220 


IX. 452 2 


17579 


11.309 6 


22.086 


94 


6.8646 


4.587 6 


6.124 


6.424 2 


10.776 


95 


3 252 I 


1.335 5 


1.536 


3 075 7 


4.352 


96 


1.135 


.200 5 


.201 


1.083 6 


1.276 


97 


.2005 


.000 


.000 


.192 7 

1 


.193 



66 



H** (Woolhouse) Table. 







Table IV. 






COMMUTATION COLUMNS. Hm TABLES. 
WOOLHOUSES FORMULA. THREE ASD ONE-HALF PER CENT. 


Arc. 


D. 


N\ 


S. 


M. 

1 


R. 


10 
11 
12 
IS 
14 


70 891.9 
68 159.0 

65 591-3 
63 163.9 

60 849.0 


» 55*5 354 
1 488 195 
1 433 604 

I 359 441 
1 398 593 


39 720 786 
38 164 432 
36 676 337 

25 253 633 
23 894 192 


15 864.2 
15 528.6 
15 265.9 

15 0555 
14 877.6 


567 167.S 

551 303 3 
535 774 6 
520508.7 

505 453 2 


16 
16 
17 
18 
19 


58 639.0 

56 483 7 

54 396.5 

52 352.9 
50 340.3 


I 239 963 
I 183 479 
1 129 083 
1 076 730 
I 026 389 


22 595 600 

21 355 638 
ao 172 159 
19 043 076 
17 966 346 


14 715 3 
14 552.6 

14 375-4 
14 171.4 
13 929.0 


490 575 6 
475 860.3 
461 307.7 

446 932 3 
433 760.9 


20 
21 
22 
28 
24 


48 358.4 
46 427.4 

44 555-7 
42 754 4 
41 029.1 


978 031.1 
931 603.7 
887 048.0 

844 293 7 
803 2645 


»6 939 957 
15 961 926 
15 030 332 
14 143 274 
13 398 981 


13 649.6 

13 353 9 
13 052.2 

12 757.6 
12 478.1 


418 831 9 
405 182.3 
391 828.5 
378 7763 
366 018.7 


26 
26 
27 
28 

29 


39 378.5 
37 7946 
36 272.4 
34 8038 
33 385 7 


763 886.0 
736 091.5 
689 8 19. 1 
655 015.2 
621 639.5 


13 495 716 
II 731 830 
11 005 739 
10 315 919 

9 660 904 


12 314.9 
11 962.7 
11 718.6 
11 476.6 
11 235.4 


353 540.5 
341 325-6 
329 362.9 
317 644.3 
306 167.7 


30 
31 
32 
38 
84 


32 017.0 
30 6q5 4 
29 422.6 
28 197.2 
27 017.9 


589 612 6 
558 917.2 
529 494.6 
501 297.5 

474 279 5 


9 039 275 
8 449 663 

7 890 745 

7 361 250 

6 859 953 


10 995.7 
10 756.8 
10 523.0 
10 391 6 
. 10 065.9 

1 


294 932.3 
283 936.6 

273 179 8 
263 657.8 
25a 366.3 


35 
36 
37 
38 
39 


25 882 3 
24 787.7 

23 731 3 
22 711.8 

31 729.1 


448 397.2 
423 609.6 

399 878.3 
377 166 5 

355 437.4 


6 385 ^3 
5 937 276 
5 513 667 
5 113 788 
4 736 622 


' 9 843-87 
9 624.46 

9 406.32 
9 189.33 
8 974.71 


343 300.4 
333 456.6 
333 832.1 

213 425-8 
204 336.4 


I? 
42 
43 
44 


20 782.7 
IQ 872.9 

18 99Q.6 
18 1600 

17 3507 


334 6547 

314 781.7 
295 782 2 

277 622.2 

260 271.5 


4 381 185 
4 046 530 
3 731 748 
3 435 966 
3 158 344 


8 763 05 

8 556 11 

1 8 354.76 

1 8 157.71 

1 7 962.48 


195 261.7 
186 498.7 
177 942.6 
169 587.8 
161 430.1 


45 

4f^ 
47 
48 
49 


16 570 2 

15 814 7 
15 082 I 

14 372.4 
13 685.9 


243 701.3 
227 886.7 

212 804.5 

198 432.1 

184 746.2 


2 898 072 
2 654 371 
2 426 484 
2 213 680 
2 015 248 


' 7 768.74 

1 7 573 5S 

7 375 82 

7 176.15 

I 6 975.64 


153 467.6 
145 698.9 

. 138 125.3 

130 749 5 

; 123 573.3 


50 
51 
52 
S3 
54 


i 13 021 8 
12 380.8 
I I 762 7 
II 16; 5 
10 587 3 


171 7244 

; 159 343-5 
147 580 8 

: I3'5 415 3 
125 828.1 


1 830 501 
I 658 777 
I 499 434 
I 351 853 
I 215 437 


6 774.38 
6 573- 70 
6 374 29 
6 174.85 
5 974- 19 


; 116 597.7 

109 823.3 
103 249.6 

1 96 875.33 
1 90 700.49 

1 



pjM (Woolhouse) Table. 



67 



Table W.^CohL 

COMMUTATION COLUMNS. Hm TABLES. 
WOOLHOUSES FORMULA. THREE AND ONEHALK PER CENT. 



Age. 


I)« 


N, 


S. 


5 7/a-32 
5 568.54 
5 362.79 
5 155- 16 
4 946.00 


R. 


66 
66 
67 
68 
69 


10 037.4 

9 484-51 
8 958.03 

8 447 46 
7 952.65 


115 800.7 
106 316.3 

97 358.14 
88 910.68 

80 958.04 


I 089 609 

973 808.7 
867 493.6 

770 134 4 
681 333.7 


84 736.30 
78 95398 

73 38544 
68 033.65 
62 867.49 


60 
61 
68 
68 


7 47a-" 
7 005.18 

6 551 45 
6 110.66 

5 683.67 


73 485-93 
66 480.75 

59 929 30 
53 818.65 
48 135 97 


600 265.7 
526 779.8 
460 299.0 
400 369.7 
346 551 I 


4 73440 
4 520.15 
4 303 30 
4 084.06 
3 862.72 


57 921-49 
53 187.08 
48 666.94 

44 363-63 
40 279 57 


66 
66 

67 
68 
69 


5 368.63 
4 869.|§ 
4 485 63 
4 "7-72 
3 766.69 


42 867.34 
37 997 96 
33 512.34 
29 394 61 
25 627.93 


298 415.1 
255 547-8 
217 549.8 
184 037.5 
154 643.9 


3 640.84 

3 419 76 
3 200.67 

2 98445 
2 772.66 


36 416.85 
33 776.01 
29 35625 
26 15558 
23 171-13 


70 
71 
72 
78 
74 


3 430 63 
3 108.48 
3 798.98 

2 501.67 

3 316.79 


33 197.30 
19 088.83 
16 389.84 
13 788.18 
II 571.39 


139 014.9 
106 817.6 
87 728.81 

71 43897 
57 650.80 


2 56399 
2 357- 84 
2 153.46 
I 91^0.80 
1 750.52 


30 398.46 

17 834.48 

15 476.63 

13 323 17 
11 372.37 


76 
76 
77 
78 
79 


I 946.50 
I 695.69 
I 464.08 
I 253.34 
X 060.90 


9 624.883 
7 939.191 
6 465.116 
5 213.781 
4 151. 83i 


46 079.41 
36 454-53 
28 525 34 

23 060.23 
16 847.44 


I 555-20 
I 370.21 

I 195-94 
I 033.71 
884.622 


9 621.843 
8 066.643 
6 696.430 

5 500.491 
4 466.784 


80 
81 
88 
88 
84 


888.634 
734388 
597-419 

478.309 
376.345 


3 263.247 

2 528.859 

I 931.440 

I 453 131 
I 076.886 


13 695.56 

9 432 314 
6 903 455 
4 972.015 

3 518.884 


748.233 

624.037 

511.902 

412.995 
337.106 


3 582.163 , 

2 833.939 

3 309.893 
I 697 990 
I 384.995 


86 

86 
87 
88 
89 


391.336 
333.331 
167.630 

124-504 
91-507 3 


785.660 

563.339 5 

395-719 4 
271.215 7 

179.708 4 


2 441.998 

I 656.338 

I 092.998 

697.279 

426.063 


254.809 

195-752 
148.570 
III. 122 
82.335 7 


957 889 5 
703.080 3 

507.327 9 
353 758 
247-636 I 


90 
91 
93 
93 
94 


64.037 
45-9668 

30.532 9 
19.130 3 

10.798 4 


113.681 4 
67.714 6 

37.191 7 
18.061 5 

7.363 I 


246.355 
132.673 

64-959 
27.767 

9.706 


59-949 9 
42.122 5 
28.233 I 
17.872 5 
10.187 6 


165- 3<» 3 
105.3«;<) 5 
63.22S 00 

34-994 95 
17.122 41 


96 

96 
97 


5 140 5 
X.803 7 

3199 


3.122 6 

.319 9 
.000 


2.443 
.320 

.000 


4.894 8 

1-730 9 

•309 I 


6 934 83 

2.040 00 

309 09 



68 



H** (Woolhouse) Table. 







Table V. 








COMMUTATION COLUMNS. Hm TABLES. 
WOOLHOUSE'S FORMULA. THREE PER CENT. 


Arc. 


u. 


N. 


S, 


19 906.2 
19 552.2 
19 273.8 
19 049.7 
18 859 3 


Ki 


10 

11 
12 
13 
14 


74 409- 4 
71 888.1 

^ 5»5 9 
67 267.1 

65 117 5 


I 796 867 

I 724 979 
I 655 463 
I 588 196 

I 523 079 


36 413 646 
34 616 779 
' 32 89 ( 800 
31 236 337 
29 648 141 


756 181.7 

736 275 5 
716 723.3 

697 4496 
678 399.8 


16 
16 
17 
It 
19 


63 046.2 
61 034.2 
59 064.1 
57 121. 2 

55 191 7 


I 460 032 
I 398 993 

I 339 934 
I 282 813 

I 227 621 


28 125 062 
26 665 030 
< 25 266 032 
23 926 098 
22 643 285 


18 684.7 
18 509 
18 3166 
18 094 
17 828.2 

1 


659 540-5 
640 855.8 

622 346.7 

604 030.1 

585 936.1 


20 
21 
22 
23 
24 


53 2763 
51 397-2 

49 5647 

47 7917 
46 085.8 


I 174 345 
I 122 947 

I 073 383 
1 025 591 

979 5053 


i 21 415 664 

• 20 241 319 

. 19 118 371 

18 044 q88 

17 019 397 


17 520.4 
17 193.0 
16 857.4 
16 528.1 
16 214.2 


568 1079 
550 587 5 
533 394 5 
516 537-0 
500 008.9 


25 
26 
27 
28 
29 


44 44^5 
42 805.8 

41 339- 1 
39 857.9 
38 419 5 


935 058.8 
892 193.0 
850 854.0 
810 996.1 
772 576.6 


16 039 892 
15 104 833 
14 212 640 
12 361 7b6 
12 550 790 


15 917 2 
15 631. 1 
15 3529 
15 075 8 
14 798.2 


483 794 7 

467 877 5 
452 246.!; 
436 893.6 
421 817.9 


30 
31 
32 
33 
34 


37 023.2 
35 667.3 
34 3^4-2 
33 083 3 
3* 853.6 


735 553-4 
699 886.1 

665 531.9 
632 448.6 
600 595.0 


IT 778 214 

II 042 660 

10 342 774 

9 677 242 

9 044 794 


14 521.0 
14 243 4 
13 9692 
13 698.9 
13 432.8 


407 01Q.6 
392 498.7 
378 255.3 
364 286.1 
350 587 2 


35 
36 
37 
38 
39 


30 662.8 
29 508.6 
28 389.1 

27 300 5 
26 246.1 


569 932.2 
540 423-6 
512 035.5 

484 7350 
458 489.0 


8 444 199 
7 874 266 

7 333 843 
6 821 807 

6 337 072 


13 160.8 
12 938.6 
12 647.6 
12 386.8 
12 127.6 


337 154 5 
323 98A.7 

311 076 I 

298 4284 

286 041.6 


40 
41 
42 
43 
44 


25 224.7 
24 2376 
23 284.9 
22 364.0 
21 471. 1 


433 264.2 
409 026.6 

385 741-7 
363 377.6 
341 906.6 


5 878 583 

5 445 319 
5 036 292 

4 650 551 
4 287 173 


II 870.7 
II 618.3 

II 371.5 
II 128.8 
10 887.3 


273 914. 1 
262 043.4 
250 425 I 

239 053 6 
227 924.7 


45 
46 
47 
48 
49 


20 604 8 
19 760.8 
18 936.9 
• 18 133.5 
17 351.1 


321 301.8 
301 541.0 
282 604.1 
264 470 7 
247 119.6 


3 94S 267 
3 623 965 

3 322 424 
3 03-5 820 

2 77S 349 


10 6.46.3 
10 402.4 
10 1542 
9 902.27 
9 648.05 


217 Q37-5 
2c6 391. 1 

195 988.7 

185 8345 
17s 932.2 


50 
51 
52 
53 
54 


16 «;89 3 
15 iB49.2 

15 131 I 
14 432.6 

13 751-6 


230 530.3 
214 681.0 

i 199 549 9 
t 185 117.3 

171 365 8 


2 528 229 
2 297 699 
2 083 018 
I 883 468 
I 698 351 


9 391 -66 
9 134 76 
8 878.25 
8 620.44 
8 359 81 


166 284.2 
156 892.5 

147 757-8 
138 879-5 
130 259.1 



H** (Woolhouse) Table. 



69 



Table V.—Cont. 

COMMUTATION COLUMNS. Hm TABLES. 
\VOOLHOUSE'S FORMULA. THREE PER CENT. 



Age. 


D. 


N, 


S. 


M. 


R, 


66 


13 087.6 


158 278.2 


I 526985 


809634 


121 899.3 


66 

67 


la 439.1 
II 805.7 


145 839 I 
134 033.4 
122 846.6 


I 368 707 

I 322 868 


7 829.08 
7 557.92 


113 802.9 
105 973.8 


68 


II 186.8 


I 088 834 

96s 987-7 


7 283.95 


98 415.91 


69 


10 582.7 


112 263.9 


7 004.63 


91 132.95 


60 


9 991-51 


102 372.4 


853 723.8 


6 721.69 


84 128.32 


61 


9 412.61 


92 859.77 


751 451.4 


6 433.80 


77 406.64 


6S 


8 84567 


84 014.10 


658 59 1. 6 


6 141.02 


70 972.84 


6S 


8 39057 


75 72352 


574 577.5 


5 843..S6 


64 831.82 
58 988.26 


64 


7 747.34 


67 976.19 


498 854.0 


5 541.80 


66 


7 217.74 


60 758 45 


4'P 877.8 


5 237.85 


53 446 26 


66 


6 703 17 


54 05528 


370 I 19.4 


4 933 50 


48 308.62 


67 


6 204.86 


47 850 42 


316 064.1 


4 630.44 


43 275. 11 


66 


5 72360 


42 126.82 


268 213.7 


4 329 90 


38 644.67 


69 


5 261.08 


36 865.74 


226 086.9 


4 034.08 


34 314.77 


70 


4 814 96 


32 050.78 


189 221. 1 


3 741.20 


30 280.69 


71 


4 38399 


27 666 79 


157 170.3 


3 450 47 


26 539 49 


72 


3 966 66 


23 703.13 


129 503.5 


3 160.83 


23 08901 


73 


3 562.52 


20 137.61 


105 803.4 


2 872 23 


19 928.18 


74 


3 17217 


16 965.44 


85 665.80 


2 585 63 


17 055 96 


75 


2 79891 


14 166.53 


68 700.36 


2 30477 


14 470.32 


76 


a 450 10 


II 716.43 


54 533.83 


2 037 49 


12 165 55 


77 


2 125.71 


9 590.717 


42 817.40 


I 784.46 


10 128.06 


78 


I 827.11 


7 763.60Q 


33 236.68 


I 547-77 


8 343-609 


79 


I 555 32 


6 208 285 


25 463.07 


I 329.20 


6 795.842 


80 


I 30Q.10 


4 899 184 


19 254.79 


I 128.28 


5 466.64a 


81 


I 087.12 


3 812 061 


14 355.61 


944429 


4 338.365 


82 


888 659 


2 923.402 


10 543.54 


777.628 


3 393-937 
2 616 309 


88 


714938 


2 208.464 


7 620.14 
5 411-68 


629. 7QO 


84 


565.1" 


I 643.354 


500.787 


I 986.518 


86 


439.537 


I 203.817 


3 768.32 


391.672 


I 485-732 


86 


337170 


866.647 


2 564.51 


302.107 


I 094.060 


87 


255-445 


611.203 


I 697.86 


230.203 


791953 


88 


190.659 


420.543 


I 086.66 


172.857 


561750 


89 


140.810 


279733 


666.11 


128.561 


388.893 


90 


102.09s 


177.638 


386.38 


93-947 . 


260.331 


91 


71.421 4 


106.217 


208.74 


66247 5 


166.384 


9t 


47.655 6 


55-561 


102.53 


44561 9 


100.137 


98 


30.013 I 


28.548 


4397 


28.307 4 


55.575 


94 


17.023 6 


II 525 


15-42 


16.193 I 


27.268 


96 


8.143 2 


3.381 


389 


7.807 6 


11.076 


96 


2.869 6 


.512 


•51 


2.771 I 


3.268 


97 


•5" 7 


.000 


.00 


.496 8 


497 



:o 



H** (King & Hardy) Table, 



• Table I. 

INSTITUTE OF ACTUARIES* TABLES— Hm KING A HARDY'S GRAD- 
UATIONS BY MAKEHAMS FORMULA. 



Age. 




1 
2 
S 

4 

6 
7 
8 
9 

10 
11 
IS 
IS 
14 
16 
16 
17 
18 
19 
SO 
81 

ss 
ss 

S4 
86 

S6 
S7 
88 
S9 
SO 
81 
88 

84 
85 
86 
87 
88 
89 
40 
41 
42 
48 
44 
45 
46 
47 
48 
49 
60 
51 



'u. Living. 


No. Dying. ^^ Surviving. 


= 0-/.) 


127 383 


14 358 


88720 


1 
.11380 , 


112 925 


3 962 


96492 


.03508 


108 963 
106 588 


2 375 


97821 


.02179 1 


1 646 1 


98456 


.01544 1 


104 94a 


I 325 


98737 


.01263 


103 617 


X 061 


98976 


.01024 


102 556 


852 


99170 


.00830 


loi 704 


683 


99328 


.00673 


lOI 03I 
100 464 


557 
464 


99449 
99538 


•00551 
.00463 


100 000 


408 


99591 


.00409 


99 59a 


369 


99630 


.00370 


99 323 


346 


99653 


•00347 


98 877 


337 


99658 


00343 


98 540 


337 


99658 


00343 


98 203 


360 


99635 


.00365 


97 843 


384 


99607 


•00393 


97 459 


425 


99563 


•00437 


97 034 


548 


09522 


.00478 


96 569 
96 061 


99474 
99428 


.00536 
.00573 


95 513 


582 


99392 


.00608 


94 93^ 


609 


99357 


•00643 


94 322 

93 ^i 


631 


99332 


.00668 


647 


90309 


.00691 


93 044 


658 


99293 


.00707 


92386 


664 


99280 


.00730 


91 722 


^ 


99268 


.00732 


91 049 


678 


99254 


.00746 


90 371 


686 


99241 


.00759 


89685 


691 


99229 


.00771 


88 994 


Voo 


99213 


.00787 


88 294 


709 


99197 


.00803 


87 585 
86 866 


719 


99179 


.00821 


729 


99161 


.00839 
.00863 


86137 


742 


99138 


85 395 


756 


99"5 


.00885 


84 639 


770 


99090 


.00910 


83869 


786 


99063 


.00937 


83 083 


806 


99031 


.00969 


82 277 


823 ! 


98999 


.01001 


81 454 


846 ; 


98962 


.010^8 
.01081 


80 608 


871 


98Q19 


79 737 


895 


98878 


.01122 


78 842 


924 


98828 


.01173 


77 9»8 


954 


•98776 


.01334 


76 96* 


986 


.98719 


.01381 


75 978 


I 03I 


.98655 


.01345 


74 957 


I 061 


•98585 


.01415 


73 896 


I lOI 


.98510 


.01490 


72 795 


1 144 


.98428 


.01573 


71 651 


I 193 


•98335 


.01665 



«. 



15920 
07901 

03366 

01787 
01379 

01143 

00935 
00748 



00607 
00503 
00438 

00388 
00359 
00343 

oo?40 
00353 
00378 
00414 
OQ4s8 
00504 
00550 
00592 



00629 
00659 
00683 
00701 
00716 



00739 
00743 

0075! 



00783 
00798 
00815 
00833 
0085A 
00876 
00901 
00938 
00957 



00990 



0I03S 

oio6a 
Of 106 

01 153 

OI3Q4 

01360 
OI33I 
01388 

01463 

01542 
0x631 



H" (King & Hardy) Table. 



7^ 



Table l.^Cont. 

INSTITUTE OF ACTUARIES' TABLES-Hm KING ft HARDY S GRAD- 

UATIONS BY MAKEHAMS FORMULA. 



Age. 



52 
63 
64 
66 
66 
67 
6t 
69 
60 
61 
62 
62 
64 
66 
66 
67 
68 
62 
70 
71 
72 
73 
74 
76 
76 
77 
72 
79 
20 
21 
22 
23 
24 
26 
26 
27 
22 
29 
90 
91 
9t 
92 
94 
96 
96 
97 
92 
99 
100 
101 
102 



No. Living. 



TO 458 
69 215 

67 919 
66 566 
65 15a 
63 677 
62 136 
60 524 
58 842 
57 087 
55 257 
S3 3SI 
51 368 

49 309 
47 176 

44 97a 
42 6q9 

40 365 
37 977 
35 543 
33 075 
30585 
28 089 

25 602 

23 143 
ao 731 

18 388 

16 133 

13 987 
II 969 

10 096 

8 ^84 

J44 

483 
303 
301 

471 
800 

273 
871 

575 
366 

222 

129 

7» 

37 

19 

9 

4 

I 

o 



6 

5 

4 

3 

2 

I 



No. Dying. 



I 
I 

I 
I 
I 

I 
I 
I 
I 
I 
I 
I 
2 
2 
2 
2 
2 
2 
2 
2 
2 
2 
2 
2 
2 
2 
2 
2 

2 
I 
I 
I 
I 
I 



24 



353 
414 

475 

541 
612 

682 

755 
8w 
906 

983 

059 

133 
204 

273 
3^4 
388 

434 
468 

490 
496 

487 

459 
412 

343 

255 
146 

018 

873 
712 

540 
361 
180 

I OOf2 

830 

671 

527 
402 

296 
209 
144 

58 

34 
18 

10 

5 

3 

I 



Probabilities 
of Surviving. 



98236 
98127 
98008 
97877 
977« 
97580 

97407 
97221 

97017 
96794 

96549 
96283 

95993 
95673 
95328 

94947 
94534 
94083 

93590 
93057 
92472 
91840 
91144 
90396 

89578 
88697 

87738 
86696 

85574 

84351 
83042 

81632 

80114 

78478 

76715 

74855 

72845 

70723 
68421 

66016 

63652 

60655 
58109 

55039 
52112 

51351 

47369 

44445 
25000 

00000 






01764 
01873 
01992 
02123 
02265 
02420 

02593 

02779 
02983 

03206 

03451 
03717 

04007 

04327 

04672 

05053 

05466 

05917 

06410 

06943 
07528 

08160 

08856 
09604 

10422 

11303 

12262 

13304 

14426 

15649 
16958 
18368 
19886 
21522 

23285 

25145 

27155 
29277 

31579 
33984 
36348 

39345 
41891 
44961 
47888 

48649 
52631 

55555 
75000 

O30CO 



01727 
01833 
01950 
02077 
02216 
02369 
02536 
02719 
02920 
03140 
03381 

03645 

03934 
04251 

04S99 

04979 

05396 

05653 

06353 
06901 

07502 

08160 

088S1 

09671 

IC536 

11485 

12523 

13662 

14909 
16275 
17772 
19412 
21209 
23177 

25343 
27697 

30286 

33»23 
36230 

39635 
43i66 

47453 
51^30 
56836 
622 1 1 
68100 

74552 
81621 
89366 

97851 



72 



H*" (King & Hardy) Table. 



Table II. 

COMMUTATION COLUMNS-Hm TABLE. MAKEHAM'S FORMULA. 

FOUR AND ONE-HALF PER CENT. 



Age. 




1 
2 
3 
4 
5 
6 
7 
8 
9 

10 
11 
If 
IS 
14 

16 
16 
17 
U 
19 
20 
21 
2f 
23 
24 
26 
26 
27 
28 
29 

SO 
SI 
S2 
S8 

34 
36 
86 
37 
38 
39 
40 
41 
42 
43 
44 

46 

46 
47 
48 
49 



D, 



137 aSo 
io8 o6o 
99 781 
93 403 
87 999 
83 148 

78 752 
74 736 
71 036 
67 602 
64 39 



N. 



61 36i 

58 S^7 
55 794 
53 »8 



50 743 
48 380 

46 115 

43 937 
41 844 

39531 
37 898 
36 045 
34 272 
32 577 
30 959 
29 416 

27 947 
26 547 
25 215 

23 946 
22 738 
21 588 

20 492 
19 449 

18 455 
17 508 

^6 606 

15 746 
14 927 
14 146 
13 401 
12 691 
12 013 
II 367 

10 750 
10 161 
9 598 9 

9 OD2.I 

8 5491 



S. 



2 016 855 

908 795 
809 014 
715 611 
627 613 

544 464 
465 712 

390 976 
319 940 

252 338 

187 945 
126 577 
068 070 
012 276 
959 068 

908 325 

859 945 
813 8jO 

769 893 

728 049 

688 218 

650 320 

614 275 
580 0J3 

547 420 
516 467 

487 051 
459 104 
432 5.^7 
407 342 

383 396 
360 658 

339 070 
318 578 
299 129 
280 674 
263 i''j6 
246 56 J 
230 814 
215 887 
2fn 741 

188 340 

175 649 
163 636 

152 269 

141 519 
131 357-7 
121 758.8 
112 696.7 
104 147.6 



I 



36 266 604 

34 249 749 

32 340 954 

30 531 940 
28 816 329 

27 188 717 

25 644 253 
24 178 541 

22 787 565 
21 467 625 

20 2i(; 287 
19 027 342 

17 900 765 
16 832 695 
15 820 419 

14 861 351 

13 953 026 
13 093 081 
12 279 251 

II 509 358 
10 781 309 
10 093 091 

442 771 
828 496 
8 248 493 
7 701 067 
7 184 600 
6 697 549 
6 238 445 
5 805 888 

5 398 546 
5 015 150 

4 654 492 
4 315 422 
3 990 844 

3 697 715 
3 417 041 
3 153 875 
2 907 315 

2 675 SOI 

2 400 614 
2 258 873 
2 0/0 533 
I 894 884 
I 731 248 

I 578 979 
I 437 459-6 
I 306 101.9 
I 184 343.1 
I 071 646.4 



3 
I 
I 



13 739. 
3 628.1 
081.2 
380.3 
063.3 
814.7A 
626.08 
480.28 
374-81 
298.79 
251.41 

21759 
19524 
181.97 

174.14 

178.01 
181.70 
192.44 
201.48 
210.63 
217.44 
220.98 
221.28 
219.40 
215.27 
209.51 
202.32 
196.23 
189.17 
183.16 

176.56 

i/i 15 
165.89 
160.98 
156.19 
152 13 

148.33 
14457 
141. 21 

138.58 

135-40 
13320 
131 23 
129.03 
127.48 

12595 

12457 

12344 
122.75 

121.89 




34 95i-„ 

21 311. 8 

17 5837 

IS 502.5 

14 132.2 
13 058.90 
13 244.16 
II 618.08 
II 137.80 
10 762.99 
10 464.20 
10 212.79 

9 995 20 
9 799 96 
9 617-99 



9 443 85 
9 265.84 
9 084.14 
8 891.70 
8 690.32 

8 479-59 
8 262.15 

8 041.17 

7 819 89 
600.49 

385.23 
17571 

97339 
777.15 

58799 



7 
7 

7 
6 

6 

6 



6 
6 
6 

5 
5 
5 
5 
5 
5 
4 
4 
4 
4 
4 
4 

4 
4 
3 
3 
3 



40483 
338.27 
057.12 
891 23 
730.25 
57406 

421.93 
273.60 

129.03 

987.82 

84924 

71384 
580.64 

449.41 

320.38 

192.90 
066.95 

94238 
818.94 
696.19 



490 091. 

455 1397 

433 927 9 
416 344.2 

400 841.7 

386 719.54 
373 660 64 
361 416.48 
349 798 40 
338 660.60 
327 897.61 

317 433 41 
307 230.62 

207 225.43 

387 425.46 



877 807.47 
363 363.63 

259 097.78 

350 013.64 

341 131.94 

333 431.72 

223 952.13 

215 689.98 

207 648.81 

99 828.92 

92 228.43 

84 8^3.21 

77 667.50 

70 694 II 

63 916 95 

57 338.96 
50 924.13 
44 695-86 
38 638.74 

32 747 51 
27 017.26 

21 443.20 
16 021 27 
10 747 67 
05 618.64 
00 630.83 

95 781 58 
91 067 74 

86 487.10 

82 037.69 

77 717 31 
73 524.41 
69 457 46 
65 5»5 08 
61 C)96.I4 



H*' (King & Hardy) Table. 



73 



Table U.— Cont. 

COMMUTATION COLUMNS— H" TABLE. MAKEHAM'S FORMULA, 

FOUR AND ONE-HALF PER CENT. 



Age. 


D, 


N, 


s. 


c. 


M, 


Kx 


60 


8 059.2 


96 0884 


967 498.8 


121. ao 


3 574-30 


57 999 95 


51 


75908 


88 497.6 


871 4x0.4 


120.95 


3 453.10 


54 425 65 


62 


7 143^ 


81 354.6 


782 912 8 


120.59 


3 332.15 


50 972 55 


6S 


6 7149 


74 6397 


701 558 2 


iao.3a 


3 211.56 


47 6^o 40 


64 


63054 
5 913 

5 538.9 
5 iSo.a 


68 334 3 


6a6 918.5 


laoao 


3 091.24 


44 428 84 


66 


62 4207 


558 5842 


I20.2X 


2 971.04 


41 337 63 


66 


56 881.8 


496 163.5 


119.99 


2 850.83 


38 366 56 


67 


51 701.6 


439 281.7 
387 580.1 


119.97 


2 730.84 


35 515 73 


68 


4 837.3 


46 8643 


120.09 


2 610.87 


32 784.89 


69 


4508.9 


4a 355.4 


340 7158 


1 19.91 


2 490.78 


30 17402 


60 


4 1948 


38 X60.6 


298 360 4 


"973 


2 370.87 


27 683.24 


61 


3 8Q4S 


34 a66.i 


260 199 8 


119.46 


2 251.14 


25 312.37 


6S 


3607.3 
3 332.8 


30 658.8 


225 933.7 


119.07 


2 131.68 


23 061 23 


68 


27 326.0 


195 274 9 


118.54 


2 012.61 


20 92955 


64 


3 070.8 


24 2552 


167 948.9 


117.79 


I 894.07 


x8 916.94 


66 


a Sao 8 


21 434.4 


143 6937 


116.76 


I 776.28 


17 022.87 


66 


25825 


18 851.9 


122 259.3 


115.46 


I 659.52 


15 246.59 


67 


2 3.S5-9 


16 496.0 


103 407.4 


11394 


I 544 06 


13 587.07 


68 


2 140.5 


14 355-5 


86 91 1.4 


III. 96 


I 430.12 


12 043 01 


69 


I 936 4 


12 4x9. X 


72 555.9 


109.62 


1 318.16 


10 612.89 


70 


I 743.3 


10 675.8 


60 136.8 


106.92 


I 2ofe.54 


9 294.73 
8 086.19 


71 


I 561.3 


9 "4.5 


49 461.0 


103.75 


1 101.62 


72 


I 390.4 


7 724.1 


40 346.5 


100.16 


997.87 


6 984.57 
5 986.699 


78 


I 230.3 


6 493.8 


32 622 4 


96.079 


897.707 


74 


I 081.3 


5 412.49 


26 128.57 


91.614 


801.628 


5 088.992 


76 


94308 
81579 


4 46941 


20 716.08 


86.680 


710.014 


4 387.364 


76 


3 653 62 


16 246.67 


81.364 


623334 


3 577 350 


77 


69931 


2 954 31 


12 59305 


75-«>3i 


541970 


a 954.016 


78 


593-55 
498.34 


2 360.76 
I 86242 


9 6j8.7A 
7 277.98 


69.656 


466.339 
396.68^ 


2 412.046 


79 


63435 


I 945 707 


80 


413-45 


I 448.97 


5 4«S.-6 


57082 


333248 
276 166 


I 549.024 


81 


338.56 


I 1 10.41 


3 966.59 


50.699 


I 215.776 


82 


273.28 


83713 


2 856.18 


44346 


225.467 


939.610 


88 


217.17 


619.96 


2 019.05 


38.172 


181 121 


714143 


84 


169.64 


450.32 


I 399.09 


32283 


142949 


533022 


86 


130.06 


320.260 


948.768 


26.784 


110.666 


390073 


86 


97.672 


222.q88 


628.508 


21.765 


83.882 


279.407 


87 


71.702 


150 886 


405.920 


17.252 


62.117 


195 525 


88 


51.362 
35.803 


99524 


255034 


13347 


44.865 


133-408 


89 


63.721 


155-510 


10.031 


31-518 


88.543 


90 


24.230 


39491 


91.789 


7.3223 


21.4866 


570253 


91 


15.865 


23 626 


52298 


5.1593 


14- 1643 


355387 


92 


10.022 


13.604 


28.672 


3.4861 


9.0050 


21.3744 


98 


6. 105 


7499 


IS.068 


2.2984 


55189 


12.3694 


94 


3543 


3956 


7569 


1.4205 


3.2205 


6.S505 


96 


1.970 


1.986 


3613 


.8478 


1.8000 


36300 


96 


1.038 


.948 


1.627 


.4755 


.9522 


X.8300 


97 


.518 


.430 


.679 


.2409 


.4767 


.8778 


98 


.254 


.176 


.249 


.1281 


•2358 


.40x1 


99 


.115 


.061 


.073 


.0613 


.1077 


.1653 


100 


.049 


.012 


.012 


.03^2 


.0464 


.0576 


101 


.012 


• • • • 


• • • • 


.0112 


.0112 


.0112 



74 



H*" (King & Hardy) Table. 



Table III. 

COMMUTATION COLUMNS— Hk TABLE. MAKEHAMS FORMULA- 
FOUR PER CENT. 



Age. 


D. 





127 280 


1 


108 580 


2 


100 740 


S 


94 757 


4 


89706 


6 


85 165 


6 


81 051 


7 


77288 


8 


73814 


9 


70585 


10 


67557 


11 


64 692 


IS 


61 974 


18 


59 384 


14 


56 904 


16 


54 528 


16 


5a 240 


17 


50 032 


18 


47898 


19 


45 836 


to 


43 841 


81 


41 914 


88 


40057 


88 


38 268 


84 


36551 


86 


34903 


86 


33 323 
31 Bio 


87 


88 


30363 


89 


28 977 


SO 


27 652 


SI 


26383 


88 


25 169 


88 


24 007 



36 
86 
87 
88 
89 
40 
41 
42 
48 
44 

46 

46 
47 
48 

49 



21 828 

ao 808 
19 831 
18 894 

17 997 
17 138 

16 313 

IS 523 

»4 765 
14 038 

13 340 
12 670 
12 026 
II 408 
10 814 




S. 



c. 



M. 



995 417 
900 65o 

•10 954 
725 789 
644 738 
567 450 
493 636 
433 051 

355 494 
290 802 

228 828 

169 444 

112 540 

058 012 
005 772 

955 740 
907 842 
862 006 
818 165 
776 251 

736 194 
697 926 

661 375 
626 472 

593 149 
561 339 
530976 
501 999 

474 347 

447 964 
422 795 

398 788 

375 894 
354 066 
333 258 
313 427 
294 533 
276 536 

259 398 
243 085 
227 562 
212 797 

198 759 

185 419 
172 749 
160 723 

U9 315 
138 501 



42 280 578 
40 075 841 
37 979 684 
35 984 267 
34 083 607 
32 272 653 
30 546 864 
28 902 126 

27 334 676 
25 841 

24 417 9* 
23 062 495 

21 771 693 

20 542 865 

19 373 421 

18 260 881 
17 202 869 
16 197 097 

IS 241 357 
14 333 515 
13 471 509 
12 653 344 
II 877 093 
II 140 899 
10 442 973 

9 781 598 
9 155 126 

8 561 977 
8 000 638 
7 469 662 



6 
6 
6 

5 
5 
4 
4 
4 
3 
3 
3 

3 

2 

2 
2 

2 
I 
I 
I 
I 



967 663 
493 316 
04s 352 
622 557 

223 769 

847 875 
493 809 
160 551 

847 124 
552 591 
276 055 
016 657 

773 572 
546 010 

333 213 

134 454 
949 03s 
776 286 

615 563 
466 248 



13 

3 

2 

I 

I 



806. 
663.0 
III. 3 
407.0 
080.1 

838.53 
647.46 

499.06 

391.35 
31347 
26503 

230.48 
207.80 
194.61 
187.12 

192.21 

197 13 
20979 
220.71 
231.84 
240.48 

24558 
247.09 
246.17 
242.70 

237.33 
230.29 

22443 
217.40 

211.50 

204.86 

199.54 

194.33 
189.50 

184.74 
180.80 

177.13 
173.47 
170.26 

167.88 
164.83 
162.92 
161. .<8 

159.35 
158.19 

157.04 
156.07 

15539 
15527 
15492 



37 590. 
23 784.0 

20 I2I.O 

8 009.7 
6 602.7 

513-57 
675.04 
027.58 
528.52 

137.17 
82Q.70 

558.67 
328.19 
120.39 
925-78 



I 738.66 

I 546.4s 

I 349.32 

I 139.53 
o 918 82 

o 686.98 

o 446.50 

200 92 

9 953.83 
9 70766 

9 464 96 
9 227.63 

8 997.34 
8 772.91 

8 555-51 



8 34401 

8 139.15 
93961 
74528 

55578 

371-04 
190.24 

0T3.11 

839.64 
66938 
501.50 
33667 

173-75 
012.47 

853-12 



7 

7 

7 

7 

7 

7 
6 

6 

6 

6 

6 

6 

5 



5 694 93 
5 537 89 
5 381.82 
5 226.43 
5 071.16 



616 157. 
578 567.3 

554 783 3 
534 662.3 

516 652 6 

500 049.89 

484 536.32 
469 861.28 
455 833.70 
442 30518 
429 168.01 
416 344 31 
403 785.64 
391 457.45 
379 33706 

367 411.28 
355 672.62 
344 126.17 
332 776.85 
321 637.3a 
310 718.50 
300 031.52 
389 585.03 

279 384.10 
269 430.27 
259 722.61 
250 257.65 
241 030.02 
233 032.68 
223 259.77 

214 704.36 
3o6 360.25 

98 221.10 
90 281.49 

8a 536.31 
74 980.43 
67 609.39 
60 4IQ 15 
53 40604 
46 566.40 
39 89702 

33 395 '"2 
37 058.85 
20 885.10 
14 873.63 

09 019.51 
03 324.58 
97 786.69 

92 404.87 
87 178.44 



H" (King & Hardy) Table. 



Table III— Cm/. 



COMMUTATION COLUMNS-H" TABLE. MAKEHAM'S 


FORMULA, 






FOUR PER CENT. 






Age. 


D, 


iiS asB-o 


■ S. 


c. 


M. 


.. 


H 


I 3*7 747-3 


■54-79 


4 916.34 


83 107,38 




m 


118 S63.6 


" >99 489 3 


155- al 


4 761-45 


77 '91-04 




■09 397-» 


"'*>9^7 

870 789s 


15549 


4 606.24 


73 43959 


H 


64 870.9 


\9% 


V=^M 


67 823.35 
63 372 60 




76937 


778 JI9.9 


>S7-a5 


4 13B 38 


59 077 74 
54 93=-36 


M 


7^45 4 


77 feS.S 


693 349-0 


i57-7a 


3 981.I3 


« 


fiSofl.Q 


70 B16.6 


6JS 733 5 
544 90*9 


15S-44 


3 833.41 


SO 958.33 


U 


6 388.7 


64 4'7-9 


15937 
139-89 


3664.97 


zin'i 


» 


S 983.6 


58 4443 
Sa 850.7 


480479.0 


350560 


M 


5 593 6 


4" 031-7 
369184.0 


160.43 


3 345-71 


SStt 




5 lit I 


47 631.6 


160.83 


3 185-39 




* BS* 5 


4a 7761 


3*1 55'.4 




303446 


33 433 as 
3040879 




4S086 


38*675 


376 77S 3 


'^'i3 


386339 


« 


4 174 I 


34 D93-4 


040 'W7.B 


160.8B 


a 703.35 


27545.40 




3 85J.7 


30140.7 


206 414.4 


16J35 


a £4" 37 


3484315 
32301.^ 


M 




=16696.5 


176 173.7 


159.31 


a 38.-13 






"3 447-8 


149 477.a 


15788 


a 22.. 9. 


19 930-66 


98 




a0 48i9 


H6 OJ9.4 


1=588 


306,03 


17 698-75 


«t 




177860 


105 547-5 


15336 


.908-.S 


15 634-73 


TO 


a <j8.9 


'5 347-" 


87 76.-5 


150.30 


1 754 79 


.3 736.57 
Ji 971.78 






13 15= 4 


73 414.4 


14654 


1 60449 




19*3-8 


11 188.6 


59353.0 




t 45795 


10 367.39 


7S 


I 746.1 


94435 


48 073.4 




. 31S-79 


890934 




I 541-9 


7900-6 


38 630.9 


131-37 


I .7S.77 


7 593 5| 




I 174-3 


6549 s 


S 806.47 


13480 


I 047.50 


■M 


s 374.6 


!I7-7I 


es 


5367^38 


77 


I on. 7 


436*91 




4 4M58 


W 


861.84 


3S"-o7 


14 443.56 


10I-75 


69505 


3639-S9 


7» 


72793 




10 943-49 


ti\T, 


593-399 


a 944 530 


to 


606.81 




e 17135 


500.197 


a 351.337 
I 851040 
1 435-035 


M 


499.30 
4*M-97 


' *6*^ 


4 339-99 


83 


340.BeS 


H 
M 


32336 
"S3S> 


elj's^ 


3078.93 
a 141. aj 


57-'it 
48-533 


374 858 
217.747 


■es? 


It 


IM-S' 


a 


■si; 


40459 


.69-315 


601-534 


M 


■47.5-! 


33-035 


138.756 


433-319 


■7 


108.83 




6J8.136 


36.312 


9S-73I 


1^1^ 
.38-433 
89 477 


» 


218 


11 


gf 


s;a 


ss 


M 






■IIS 


11.339 


33-S.o 


•1 


»4 547 


8.0108 


33..BI. 


559668 


M 


15581 




4S-a»4 


s-4457 


8!7I4( 


337857 


W 


9536 




33-85! 


3.6077 


19,6154 


M 


5 563 


6.a67 




23403 


51069 




N 


3.108 


3-lSS 


1.3435 


1S666 


5-B039 


M 


1.645 






-7573 


1533' 


3-9373 


•7 

M 


,82, 


1.09c 
.400 


.3855 

.3059 


S 


■s 


W 


:5H 


.117 


.0990 


1744 


IM 


.079 




-019 


.0571 


-0754 


TM 


101 


.019 






-0.B3 


.0183 



76 



H^ (King & Hardy) Table. 



Table IV. 

COMMUTATION COLUMNS— Hm TABLE. MAKEHAMS FORMULA. 

THREE AND ONE-HALF PER CENT. 



Akc 



IK 






127 280 


1 


109 no 


2 


loi 720 


S 


96 137 


4 


91 451 


5 


87 243 


6 


83 433 


7 


79 939 


t 


76 717 


9 


73 714 


10 


70 892 


11 


68 215 


12 


65664 


13 


63 224 


14 


60877 


16 


58 61S 


16 


56 426 


17 


54 3^ 


12 


5a 238 


19 


50 231 


20 


48 277 


21 


46 378 


22 


44 537 


23 


42 754 


24 


41 033 


25 


39 371 


26 


37 771 


27 


36 231 


22 


34 750 


29 


33 324 


30 


31 953 


31 


33 634 


32 


29 366 


38 


23 145 


34 


26 970 


S6 


25 839 


36 


24 750 


87 


23 702 


88 


22 692 


39 


21 719 


40 


20 781 


41 


19 877 


42 


19 006 


48 


18 165 


44 


17 353 


45 


16573 


46 


15 8u 


47 


15 083 


48 


M 377 


49 


13 694 



N. 



425 77a 
316 662 

24 942 
118 805 

027 354 
940 III 
856 681 
776 742 
700 025 
626 31Z 

555 419 
487 204 

4*^ 540 
358 3^6 

297 439 

238 82^ 
182 398 
128 09 ( 
075 856 

025 625 

977 348 
950 970 
886433 
843 679 
802 646 
763 275 

725 504 
689 273 

654 523 
621 199 

589 246 
558 612 
529 246 
501 lOI 

474 13' 
448 292 

423 542 
399 840 
377 148 
355 429 
334 648 

3»4 771 
295 76:; 

277 600 

260 247 

243 677 
227 86 J 
212 78) 
198 403 
184 709 




49 703 849 
47 278 077 

44 961 415 
42 746 473 
40 627 668 
38 600 3x4 
36 660 203 
34 803 522 
33 026 780 

31 326 755 
29 700 444 
28 14^ 025 
26 657 821 
25 236 281 
23 877 965 

22 580 526 
21 341 702 
20 159 304 
19 031 210 

17 955 354 
16 929 729 

»5 952 381 
15 021 411 

M »34 978 
13 291 299 
12 488 653 
" 725 378 
10 999 874 
10 310 631 
9 656 078 



9 034 
8 445 



7 

7 
6 

6 

5 
5 
5 
4 
4 
4 
3 
3 
3 



887 

357 
856 

382 

934 
510 
no 

733 
378 
043 

728 

433 
155 



879 

633 
021 

775 

674 

543 

251 
709 

869 

721 

292 

644 

873 
108 

503 



2 895 261 
2 651 584 
2 423 721 ! 
2 210 941 
2 012 538 



3 
I 
I 



13 872. 

3698.5 
X42.Z 

434-4 
115.6 

863.14 

669.67 

518.68 

408.70 

32894 
27946 

24420 

221 24 

208.19 

201.15 

207.61 
213 96 
228.80 
241.87 

255.30 
266.09 

273.04 

276.05 

27635 
273:7 
269.02 
262.2Q 
256.86 
250.01 
244.41 

23786 
232 81 
227.83 
223.23 
218 69 
21506 
211.70 
20833 

205.47 
203.58 
200.84 

199.47 
198.42 
196.99 
19649 

196.02 

I9S74 
19583 
19663 
197.14 



M, 



40 948. 
27 075.5 
23 377.0 

21 2349 
08005 

8 084.94 
7 821.80 
152 13 

63345 

22475 
895.81 

616.35 

372.15 
150.91 
942.72 



7 
6 

6 

5 
5 
5 
5 

4 



741.57 
53396 
320.00 



4 091.20 



849-33 
594-03 
32794 



3 054 90 
77885 
502.50 
228.73 

959.71 
697.42 

440.56 
190-55 



946.14 
708.28 

475-47 
247.64 
024.41 
805.72 
59066 

378.96 
9 170.63 
8 965 16 
8 761.58 

8 560.74 
8 361.27 
8 162.8; 
7965.86 

7 769.37 

7 573-35 
7 377.61 
7 181.78 

6 985.15 



R. 



785 908 
744 9596 
717 884.1 

694 507 I 
673 272.2 

653 471 69 
634 786 75 
616 964.95 
599 812.82 

583 179 37 
56695462 

551 058.81 

535 442.46 
520 07031 
504 919.40 

489 976 68 

475 235-1' 
460 701.15 

446 381 15 
432 289.95 
418 44063 

404 846 59 
391 518 65 
378 463 75 
365 68490 
353 182.40 

340 953 67 
328 993 96 

317 396 54 
305 855.98 



^94 665.43 
283 719.29 
273 011.01 
262 535.54 
252 287 90 
242 263.49 

232 457-77 
222 867.11 
213 488.15 
204 317.52 

05 352 36 
86 590.78 
78 030.04 
69 668.77 
61 505.92 

53 540.06 
45 770.69 
38 197.34 
30 819.73 
23 637 95 



H*" (King & Hardy) Table. 



77 



Table IV.— CVwt/. 

COMMl'TATION COLUMNS-Hm TABLE. MAKEHAM'S FORMULA. 

IHREE AND ONE-HALF PER CENT. 



Age, 



(0 
51 
62 
6S 
64 
66 
66 
67 
68 
69 

eo 

61 
6S 

68 
64 
66 
66 
67 
68 
69 
70 
71 
72 
7S 
74 
76 
76 
77 
78 
79 
90 
81 
82 
88 
94 
86 
86 
87 
99 
99 
90 
91 
92 
98 
M 
96 
96 
97 
96 
99 
100 
101 



D. 



N 



S. 



13034- 

12 395 

II 777. 

II 178. 

10598. 

10 035. 
9490.1 
8 961.5 
448.9 

9515 
469.1 

001.3 

547-7 
108.0 

682 I 

270.0 

871 5 
4868 

X16.0 

759 5 

4174 
090 2 

778.4 

482.3 
202.7 

939 7 
694.1 

466.3 

2560 

065.2 

892.26 

737.72 

601.23 

48239 
380.47 

29450 

22;.3i 

165.52 
119.71 

84 252 

57571 
38.058 

24275 

14.929 

8.749 
4.912 
2.612 



8 

7 

7 

7 
6 

6 

5 
5 

4 
4 
4 
3 
3 

3 

2 

2 
2 
1 
I 
I 
I 
I 



1.315 

.653 

299 

.128 

.031 



171 675. 
159 a8o. 

147 503. 



136 

"5 

"5 
106 

97 
88 

80 

73 
66 

59 



42 

37 

33 

29 

25 
22 

19 
16 

13 
II 

9 
7 
6 

5 
4 

3 

2 

I 
I 
I 



325. 

727. 

691.8 

201.7 

240.2 

791-3 
839.8 

370.7 
369.4 
821 7 

713.7 
031.6 

761.6 

890.1 

403-3 
287.3 

527-8 
1 10.4 
020.2 
24X.8 
759 5 

«6.8 

617. 1 
923.0 

45^.7 
200.1 

134.89 
242 63 

504-91 
903.68 

421.29 
040.82 
746.32 
52301 
357.49 
237.784 
153532 
95961 

57.903 
33628 

18.699 
9950 
5.038 
2.426 
I. Ill 

.458 
-159 
.031 



827 
656 

496 

319 
213 

087 

971 
86s 
768 
679 
598 
525 
458 
398 
345 
297 

254 
210 

183 

15^ 
128 

106 

87 
71 
57 
45 
36 
28 
21 
16 
12 

9 
6 

4 

3 

2 

I 



829. 

154- 
874. 

371. 
046. 

3193 
627.5 
425.8 
185.6 

3943 

554-5 
183.8 

814.4 

992.7 
279.0 

2474 
485.8 

595.7 
192.4 

905-1 

377.3 
266.9 

246.7 

004.9 

2454 
688 6 

071-5 
148.5 

691.8 

491.72 

356.83 
114.20 
609.29 
705.61 
284.32 

24350 
497.18 

97417 
616.680 

378.896 

225.364 
129.403 

71.TO 

37872 

19-173 
9.223 

4185 

1-759 
.648 

.190 

.0^1 



C, 



M. 



R. 



197.91 


6 788.01 


116 652.80 


199 41 


. 6 590.10 


109 864.79 


20074 


6 390.69 


103 274.69 


232 22 


6 189.95 


96 88400 


20398 


5 987.73 


90 69405 


205.96 


5 783.75 


84 706. 32 


20758 


5 577-79 


78 922 57 


209.54 


5 370.21 


73 344 78 


211 78 


5 16067 


67 974 57 


213 51 


4 948.89 


62 813.90 


21524 


4 73538 


57 865.01 


21685 


4 520.14 


53 129.63 
48 609.49 


218.21 


4 30329 
4 085.08 


21935 


44 306.20 


220.06 


3 865.73 


40 221.12 


220.26 


3 645-67 


36 355.39 


219.89 


3 425.41 


32 709.72 


219 II 


3 205.52 


29 284.31 


217.38 


2 936.41 


20 078.79 


21489 


2 769.03 


23 09238 


211.62 


2 554-14 


20 323.35 


20732 


2 342 52 


17 769.21 


20209 


2 135 20 , 


15 426 69 


10573 


I 933 " 


13 291.40 
II 35838 


188.43 


I 737.38 


180.01 


I 548.95 


9 O21.00 


17060 


I 368.94 


8 07205 


16011 


I 198.34 


6 703.11 


148.89 
136.90 


I 038.23 
889.34 


5 504 77 
4 466.54 


124.98 


75244 


3 577 20 


III 54 


628.06 


2 824.76 


98 503 


516.521 


2 196.695 


85.611 


418.018 


I 680.174 


7^.102 


332407 


I 262.156 


61.236 


259-305 


929.749 


50241 


198.060 
147.828 


670.444 


40.210 


472375 


31407 


107.618 


324 547 
216.929 


23.8:13 


76.211 


17-565 


52.378 


140.718 


12.496 


34.813 


88340 


8.5251 


22.3170 


535272 


56751 


13.7919 
8. 1 168 


31.2102 


35412 


17.4183 


?;^ 


45756 
2.4418 


9-3015 
4.7259 


.6183 


1.2332 


2.2841 


•3317 
.1003 


.6149 


1.0509 


.2832 


.4360 


-0930 


.1229 


.1528 


.0299 


.0299 


.0299 



H" (King & Hardv) Tahle. 



COMMUTATION COLUMNS-H« TABLE. MAKEHAM'S FORMULA. 






THREE PER CENT. 






A«r 


n. 

127283 


«. 


58 493 '70 


c, 


M. 


R. 




9 688 021 


'3940 


4Sae4- 


.0.65.7. 




109636 


a 578 385 


must 


3 73-1 6 


31 314." 


^^:: 




1M708 


a 475 677 


a 173 5 


27609.6 




97 544 


1 378 133 


31 201 087 


I 4624 


25 436,1 


I^^ll 




gS 


22B4893 


48 822 954 


'lUl 


23 973 7 




a 19S SI3 


42 538 06. 


2283068 


862869-57 
84D 031S9 




85 S39 


3 i°9 624 


44 343 548 


692.76 






82695 


3 026919 


4a 232 92J 


539'6 


21 34933 


818 096.B0 




79746 


I 947 "83 


40 205 995 


426.89 




796 847,47 




76996 


1 870 .87 


38 258 8.2 


34S«6 




776 .37-30 




744.0 


I 795 777 


36 388 6iS 


"94 75 




755 8S4-™ 




7» 947 


I 723 850 


34 592 848 


25! 81 


19 643,27 


735 916.DO 




69592 




32 869 o<8 


335.61 


19 384 46 


716 272.73 




67 332 


\ 586^ 


,T 2'4 7B0 


222.80 


19 '48-85 


696888,27 




65 146 


. 52. 760 


»> 627 874 


316.31 


IB 9=6.05 


677 739-4" 


1» 


63032 


I 458 7=8 


28 106 114 


23434 


1870974 


6SB 8.3,37 
640 .03 Sj 




6097^ 


1 397 756 


26 647 3S6 


233.33 


18 485-40 




589^ 


1 338 792 


25 249 630 


24964 


iB 353-07 


6ai fiiSaj 




56 997 


. 2B1 795 


23 9IO 838 


265.18 


IB 003.43 


603 36S .6 




<3 07' 


I 226 733 


22629043 


281.27 


17 738.25 


385 .?6..73 


to 


53 188 


1 '73 535 


Ji 403 320 


29458 


174569a 


567 62t 48 




5' 343 




20 228 785 


p.j; 




550 166.50 


M 


49 344 


1072648 


19 "-6 593 


16 838.66 


533 004 .0 


tt 


47 791 




■ 8 033 «5 


310 




16 550.09 


S'6 145 44 




46090 


978767 


.70090S8 


309 




16 339.68 


499 595 35 






IKS 


.5 030 321 


305 




15 930 67 


483 355 67 


M 


4^ 8^9 




29f 




■3 62s 56 


467 425 00 




41 291 


B50 .98 








'3 32664 




*» 


39796 


Bio 402 


13 354 306 


287:71 


IS 032-48 


436 473,80 


1* 


38 349 


772 053 


12 543 904 
11 771 851 


3S162 


'4 744-77 


421 440 3" 


M 


36949 


735 ">t 


376.39 


14 462.15 


406695.55 




35 597 


699507 


II 036 747 


271.84 


14 185.75 


393 23340 




34283 


655 "9 


10 337 240 


267.3. 


13 913,92 


378047-64 






632 197 


9 672 02, 


163.18 


13 646.6. 


364 13373 


M 


3' 797 


6»4oo 


9 039 Sat 


35908 


"3 383 43 


350487,11 


IS 


30612 


569 7S8 


8 439 4H 


256.01 


13 124.3s 


337 .03-68 


»a 


29464 


540 324 


7869636 


253- "4 


12 868.34 


3=3 979 33 


J7 


28352 


5" 972 


7 3'9 3" 


35043 


.3 615..0 


31 ' 110,99 


» 


17 177 


as; 


6 617 340 


24B1S 


12 364.67 


3gS 495.89 
286 i3.,2a 


M 


16 131 


6 332 6js 








25 "'3 


433 '38 


5 874 184 




" B69.J' 


374 014 73 




24243 


408995 


7 440 946 


244.46 


II 634.45 


362 145 « 

350 520,88 


11 


13293 


385 7-^a 


5 03" 951 


244.33 


" 37999 




aJ37o 


363 332 


4 646 249 


34377 




239 140.89 


** 


21 474 


34>a5e 


4 2B2 917 




11 8^ 8* 


928 005.25 


4» 


20604 


3»1 =54 


3 94' 059 


24493 


10 647-53 


206465^ 




19760 


301 494 


3 619 S05 


34577 


10 40a. 60 




.8938 


atos56 


3 3>8 3.1 


347.08 


.0 156,83 


196 063 33 




18 1,1(9 


2^417 


3 033 7i5 


24929 


9909-75 


18590643 

175 996 S; 


M 


17362 


247055 


2 771 338 


351 


'5 


9660.46 



H" (Kino & Hardy) Table. 

Table V.—rtm/. 
UMNS— Hn TABLE, MA 

THREE PER CENT. 



Table V.—cmi. 
COMMUTATIOM CULUMNS— Km TABLE MAKEHAM'S FORMULA. 



Am. 


I). 


„. 


.^. 




». 


R. 


(0 


;?S: 


m 58a. 


3 534 383, 


353.36 


9409-3' 


.6633631 




3 393 833. 


356.51 


? 135.95 


156 9^ 90 




>S M9- 


")9 433. 


1 079 351. 


S.& 


■47 770-9S 






.84 984- 


1 B79 B18. 


138 B71 5" 








I 694 8j4. 


36633 


a 377-30 


130 =3155 






III «?: 


I 5>3 615. 


37013 


8 II. .07 


.31 854.35 
113 743 18 


H 


"liJ 


■45 674- 


1 36s 494. 


"73-57 


7 840,94 


»T 


'33 864. 




37749 


u%t 


105 901,34 


M 


into. 


133 67s, 


I ^5 9^: 


38.83 


9B 334 87 


U 


lo S8i. 


III 093.8 


9633306 


33550 


7ooB,o6 


9. 044,99 


w 


9 987.6 


103 106.3 


851 .36.8 


38931 


6731.56 


B4 03^.93 




IS 


93698.8 


749 0S0.6 


393,78 


6 433-35 


?^iSt:S 




B3 858 3 


656 3B1-B 


396 OS 


6 140 57 


ts 


75 571.3 


573 513.6 


39905 


5 S44 5' 


64 740-45 
58 395.93 
53 350-46 


M 


7 746.6 


67 834.7 


496 953.3 


30147 


S 545-47 




7 "9-5 


6015053 


4S7 137-6 


303.30 


5 344" 


M 


67059 


53 8993 


369 s«,4 


304.17 


4940.80 


48 .06.46 


«7 


6«>5.5 


47 69ii.8 


3'4 633.1 


30456 


4 636.63 


43 165.66 


■■ 


S 731 J 


4" 97..6 


366930.3 


303-63 


4 333.07 


im 


M 


S 3S1.0 




114 95S.7 


30' 59 


403345 


70 


47963 


3" 9i» 3 


tB8 33S.1 


39846 


3716.B6 


30 16B.51 




4358 = 


37 5«.i 


156 3'3.B 


393.1. 


3 438.40 


36 44. .63 




3 937.5 


33 6»8,6 


■38 747-7 


=87-79 


3 '34-59 


%& 


T> 


3S3SO 


30093.6 


105 1X9- 1 




3 846.80 




3 »S»o 


I6 94'(i 


85 0)55 


170 95 


350^71 


17 031.86 




8789.3 


14 "5»4 


68083.9 


360.09 


3 195.76 


14 465-IS 


■n 


"447 9 




33 93". S 


347.69 


3 035.67 


13 169 39 


T7 


2 .rf.9 


9 S7SS 


43 3170 


333.60 


1787-98 


.0 133.73 




I 833-3 


7743.3 


33 651.4 


313 38 


1 5.-4,38 


8 345-M 


n 


I sSi.6 


6180.7 


ur^i 


301.67 


I 33S.IO 


679.-36 


M 


I 3'4.4 




184.. 3 


1 134.43 


5 45526 




1 O^J.O 


3 774 '7 


13 863,06 


i6S-9> 




4 3M-83 


U 


894.33 


3 879 91 


10 037 79 


147.33 




3 370.53 




Tal.tH 


a 15S90 


7307.es 


.38.58 


63716 


3 586,13 




S7'45 


I 587 45 


S =48 95 


"0.33 


50858 


.94897 


n 


S1I 


I 1,3.96 


3 461.50 


93-87. 


398.346 


1 440-39" 


w 


804.30 


3 318.54 


76.563 


305375 


1 043.146 


n 


35314 




I S'4.=4 
963.18 


61374 


338,910 


736.771 


n 


183.3- 
I=^6S 


P?;^ 


48.339 


167.136 


507,961 


u 


339.103 


593 435 


36.853 


118,907 


340-735 


N 


S9.018 


.50.08, 


354.335 


37,393 


83.055 






59 133 


9O0J9 


304.343 


19511 


54-763 


139763 


» 


37.901 
33.413 


'4:t^ 


■ass 


■ia 


nss 


JSs 


M 


13793 


■5.83} 


30.630 


5-6097 


I1.9;99 


=7-87" 


H 


7-781 


8.053 


14-787 


3.3967 


7-3303 


^7:^:0 


M 


4.isa 


3894 


6,735 


1.933' 


3933s 




3.104 


1.790 


3,841 


■9936 


1.9903 


3*975 


H 


1.049 


741 


1051 


-53S9 


■9967 


..707a 


N 


.483 


■359 


■i'O 


.3603 


.4603 


.7105 


IM 


.aoe 


.051 


.051 


.1515 


.3006 


.3497 


101 


.051 






■0491 


.049' 


,0491 



H" (King & Hardy) Joint Life Table. 



Two 


Th™ 


Four 


IJ.« 


Liv™ 




>u 


'h.. 


>■.., 


II, 953 


9.165 


7.106 


1486$ 


13714 


10,986 


15.6S6 


.37B8 


IaU3 


16 131 


14.394 


■3 973 


16,390 


14-761 


134»7 


16569 


15014 


13-763 


16674 


IS- 193 


.3.98I 


16.717 


is.»7a 


14-113 


16.707 






.6.653 


'tZs 




16.564 


15 "57 


14039 


16453 


15-035 


13903 


16. 3* 1 


14887 


13-746 


16. .74 




.3.566 


16018 




13373 


'5854 


M 353 


13,167 


15.689 




.3,963 


'SS'5 




1376. 


15366 


13800 


115:0 


i;,3ia 


■3630 




"So6i 

149=5 


13,330 


13 334 


14788 


13,177 


.1,025 


M.tS3 


13039 


..,787 




ia.903 


M,65a 


M385 


13,766 


..,518 


14,347 


U.6a8 


11383 


14.'"5 


12.^85 




t3 95« 


"Hi 




13806 


13 1S6 


10933 


13649 




10.800 


.3.86 


II 865 


10,640 


■3 317 


.1696 


10476 


13 M3 


II 533 




13,961 




10,133 


U.776 


11-155 


9.950 


"5B3 


10,964 


9765 


llfil 


10767 


9.573 




.0,564 


9377 


11.972 


'0,357 


9 175 


1>.7J6 


10,143 


8,969 


11-536 


9-9a5 


8 7,W 


"309 


9,7^! 


B51I 
8.3=3 


lo'S,l 




8098 


10558 


9.003 


7,871 


10,351 


8,763 


7.640 


10,099 


B.;,9 


7.407 


9,844 


8-37. 


7171 


9S'4 


S.oai 


6,933 




7.763 


6694 































s 7-963 














ss 


5-7" 



6,ca7 




3-870 


{'£ 1 


4.33s 


3.654 
344a 


5-3aS 1 


4003 


3 '37 








4.709 1 






4-459 












3 975 































Hm (King & Hardv) Joint Life Table. 



8i 



1 ABLE II. 

HM (KING & HARDY) JOINT MFE ANNUITIES— EQUAL AGES. 

FOUR PER CENT. 



Age. 




1 
2 
8 
4 
6 
6 
7 
• 
9 
10 
11 
IS 
18 
14 
16 
16 
17 
II 
19 
80 
81 
88 
88 
84 
86 
86 
87 
88 
89 
80 
81 
88 
88 
84 
86 
86 
87 
88 
89 
40 
41 
48 
48 
44 
46 
46 
47 
48 
49 
60 



Two 

Lives 

a. 



>ii 



12.938 
16.09s 
16978 

17 453 

17-725 
17.908 
18012 
18.047 
18.024 

17953 
17.844 

17.711 
17-557 
17.386 
17.207 

17.018 
16.829 
16.641 
16.458 
16.281 
16.112 

15-950 
15.791 
15637 
15.481 

15-325 
15 166 

15002 

14.833 

14659 

H479 

14-393 
14.102 

13.905 
13.701 

13.491 
13.276 

13054 
12.827 

12-594 
12-355 
12.111 
11.860 
11.606 
11.346 
11.082 
10.812 

10538 
10.260 

9.979 
9-695 



Three 


Four 




Tw«» 


Three 


Four 


Live* 


Lives 


Age. 


Lives 


Lives 


Lives 


aiBi 


a«*as 


51 


9.407 


^ats 


.^1111 


9-850 


7594 


7.764 


6.644 


13.669 


11.747 


68 


9.117 


7.492 


6.389 


14.824 


13093 


63 


8.826 


7219 


6-135 


15-470 


13871 


64 


8.533 
8.238 


6.945 


5882 


15-859 


14-353 


66 


6.673 


5630 


16.134 


14705 


66 


7944 


6.401 


5380 


16.305 


14936 
15.000 


67 


7.649 


6.I3I 


5132 


16.386 


68 


7.354 


5862 


4.887 


16391 


15.091 


69 


7061 


5597 


4.646 


16.332 


15045 


60 


6769 


5-334 


4-408 


16.222 


14-940 


61 


6479 


5075 


4.175 


16.079 
15.910 


14794 
14.616 


68 
68 


6.193 
5909 


4.820 
4-569 


3946 
3723 


15.720 


14414 


64 


5629 


4324 


3.505 


15518 


14 197 


66 


5353 


4.084 


3^^ 


i5-3t"5 


13969 


66 


5.082 


3850 


3.088 


15-OQ3 
14-884 


13742 


67 


4.816 


3.622 


2.888 


13519 


68 


4556 


3-*2J 


2.696 


14683 


I?. 308 


69 


4-302 


3186 


2.511 


14.492 


13 108 


70 


4054 


2.979 


2.333 


14.312 


12.923 


71 


3.814 


2.779 


2.163 


14.142 


12751 


78 


3.580 


2.587 


1.999 
1.844 


13.979 


12.589 


78 


3 354 
3.130 


2.402 


13.823 
13668 


12435 


74 


2.226 


1-695 


12.283 


76 


2925 


2.057 


1.555 


13.513 


12.T|4 
II 982 


76 


2723 


1.896 


1.421 


13.356 


77 


2.530 


1-743 
1-598 


1-295 


13194 


II.S27 


78 


2.344 


1.177 


13.028 


11.666 


79 


2 166 


1.460 


i.o6«; 


12.857 


11.502 


80 


1.998 


1 331 


!862 


12.681 


11332 


81 


1837 
1.685 


1.208 


12497 


11.156 


88 


1.094 


771 


12.309 


10.975 


88 


1-541 


.987 


-687 


12.114 


10.788 


84 


1.406 


.886 


.608 


11.914 


10.595 


86 


1.278 


793 


-536 


11.708 


10.397 


86 


1.157 


.706 


.469 


11.407 
11.280 


10.194 
9985 


87 
88 


1.045 
.940 


.626 
551 


.408 
353 


11.057 


9.772 


89 


.842 


-483 


302 


10.829 


9552 


90 


•750 


.420 


.256 


10.596 


9329 


91 


.666 


•303 


.216 


10.358 


9.101 


98 


.590 


.313 


.181 


10.115 
9.868 


8.868 


98 


.514 


.263 


.146 


8.633 


94 


•452 


.224 


.120 


9.616 


8.393 


96 


392 


-185 


•09s 


9.360 


8.150 


96 


.345 


.156 


.076 


9 101 
8.839 


7904 


97 


•319 


145 


.070 


7-655 


98 


259 


.III 


.050 


8.573 


7.404 


99 


.201 


.086 


038 


8.305 


7-152 


100 


.060 


•015 


.004 


8.036 


6.899 











82 



H*« (King & Hardy) Joint Life Table. 



Table III. 

HM (KING & HARDY) JOINT LIFE ANNUITIES— EQUAL AGES, 
THREE AND ONE-HALF PER CENT. 





Two 


Three 


Four 


A«e. 


Lives 


Lives 


Lives 




a 


a 


a 




ZI 


ssx 


szzz 





14.079 


10.633 


8.146 


1 


17.=^13 


14.760 


12.608 


S 


18.467 


16.004 


^^•213 


8 


18974 


16.696 


14-885 


4 


19.360 


17.107 


15-396 


6 


19447 


17.393 


15-765 


6 


19546 


17-567 


16.003 


7 


19570 


17.642 


16.124 


• 


19530 


17.633 


16.145 


9 


19439 


17555 


16.084 


10 


19307 


17.424 


15958 


11 


19. 146 


17.257 


15789 


It 


18.964 


17.060 


15586 


IS 


18765 


16.843 


15358 


14 


18555 


16.612 


I51I5 


16 


18.337 


16372 


14.860 


16 


18.118 


16.132 


14.608 


17 


17.901 


15.895 


14.359 


18 


17690 


15.669 


14. 12* 


19 


17.486 


15.452 


13901 


80 


17.289 


15.248 


13694 


81 


17.101 


15^55 


13.502 


88 


16.917 


14.870 


13-320 


88 


16.736 


14.691 


13.146 


84 


16.555 


14.514 


12.976 
12.808 


86 


16.374 


14337 


86 


16.189 


14159 


12.637 


87 


16.000 


13976 


12.464 


88 


15805 


13787 


12.284 


89 


15605 


13-593 


12.100 


80 


15.399 


13-394 


11.912 


31 


15.187 


13.189 


11.716 


88 


14.968 


12.978 


"•515 


as 


14-744 


12.761 


11.309 


84 


14513 


12538 


11.097 


S5 


14.277 


12.309 


10.879 


S6 


14035 


12.075 


10.656 


87 


13-787 


11.836 


10.428 


S8 


13.532 


11.590 


10.19; 


39 


13.272 


11-339 


9.958 


40 


13.007 


11.084 


9-7IS 


41 


12.736 


10.824 


9.468 


48 


12-459 


10.559 


9.217 


48 


12.179 


10.291 


8.964 


44 


11.893 


10.018 


8.706 


46 


11.603 


9-742 


8.446 


46 


II 308 


9.463 


8.183 


47 


11.010 


9.180 


7.918 


48 

49 


10.709 
10.404 


8.89§ 
8.608 


7651 
7.383 


SO 


10.096 


1 8320 

1 


7.II4 



Age. 



61 
68 

68 
64 

66 
66 
67 
68 

69 
60 
61 
68 
68 
64 
66 
66 
67 
68 
69 
70 
71 
78 
78 
74 
76 
76 
77 
78 
79 
80 
81 
88 
83 
84 
86 
86 
87 
88 
89 
90 
91 
98 
93 
94 
96 
96 
97 
98 
99 
100 



Two 
Lives 



XX 



9785 

9-474 
9. 161 

8.847 

8.532 
8.218 

7.904 
7.592 
7.382 

6.973 
6.668 

6.366 

6.068 

5-775 
5.486 
5204 

4.927 
4.656 

4-393 
4.136 
3.887 
3.646 

3413 
3.189 
2973 
2765 
567 
377 
195 
023 
859 
705 
558 
420 
290 
168 

055 
948 
849 
756 
671 
594 
517 
455 
394 

347 
321 

261 

202 

060 



Three 
Lives 

a 

XXX 



8.030 

7.740 

7A51 
7. 161 

6.873 
6587 
6.303 

6.08I 

5-742 
5.468 

5197 
4921 
4.671 

4.416 
4.167 

3925 
3.690 
3462 

3.241 
3.028 

2.833 

3.626 

2.437 
2.256 
2.083 

1.919 
1764 

1. 616 

1.476 

1.344 

I.230 
1. 104 

-995 
.894 

.799 
.711 
.630 

•555 
.486 

.423 
.366 

.315 
.364 

.225 

.186 

.157 

.145 
.112 

.086 

.015 



Four 
Lives 

a 

XXZI 



6.845 

6.577 
6309 
6.043 

5-779 
5517 
5258 
5.00a 



4- 
4- 
4- 
4. 
3- 
3 



•751 
•504 
.26a 

.025 

•794 

570 

3-351 
3-140 

2-935 
2.738 

2.548 

2.366 

2. 191 

2 025 

1.866 

1.71S 
1-52 

1-436 
1.308 
1.188 

1.075 
-969 
.869 

•777 
.693 
.613 

540 

.472 

.411 

355 

304 
.258 
.317 
.183 
.147 

.131 

095 
.076 

.071 

.050 

038 

.004 



H" (King & Hardy) Joint Life Table. 



83 



Table IV. 

HM (KING & HARDY) JOINT LIFE ANNUITIES— EQUAL AGES, 

THREE PER CENT. 





Two 


Age. 


Lives 




ail 





15.406 


1 


19. 161 


t 


ao.197 


S 


90.740 


4 


21. 038 


i 


21.227 


6 


21.318 


7 


21.327 


• 


21.365 


9 


21.147 


10 


20.984 


11 


20.791 


IS 


20.575 


IS 


20.339 


14 


20.094 


IS 


19839 


16 


19583 


17 


19.332 


IS 


10.087 
18.848 


19 


SO 


18 619 


SI 


18.398 


ss 


18.183 


ss 


17.97a 


84 


17.761 


86 


17549 


86 


17.334 


87 


I7.II4 
16.888 


8S 


89 


16.657 


SO 


16430 


SI 


16.176 


ss 


15937 


ss 


15671 


S4 


15.410 


S6 

S6 


15- 142 
14.869 


S7 


14-589 


SS 


14304 


S9 


14 015 
13.718 


40 


41 


13417 


4S 


13.110 


4S 


12.800 


44 


12.485 


46 


12.167 


46 


11.844 


47 


11.518 


4S 


II. 189 
10.858 


49 


60 


10.525 



Three 
Lives 

aasi 



1-534 
601 



7-35 
8.100 

8.§34 

8.833 
9.006 
9.072 
0.046 
8.946 

8.787 

8.589 
8.361 

8.110 

7.846 

7.572 
7-300 
7-030 

6773 
6.520 

6.293 
6.073 
5.861 
5.656 
5-453 
5251 
5046 

4837 
4-623 
4.404 

4-179 
3-947 
3-710 

3467 
3.218 

2.964 

2.704 

2.439 
2.167 

1.892 

1.612 

1.3*7 
1-037 
0.746 
0.449 
0.150 
9.847 
9543 
9237 
8.930 
8.621 



Four 
Lives 

ami 



8.774 
3587 

5.143 
6.035 

6.577 

6.965 

7.208 
7-325 

7-333 

7253 
7.103 

6.906 

6.674 

6.414 
6.141 

5854 
5571 
293 
029 
780 
548 

331 
4.126 

3.930 
3738 
3.548 
3-356 
3.160 

2.959 

2754 

2.543 

2.325 
2.102 

1874 
1.640 
1 400 
I 156 
0.906 
0.652 
392 
130 
862 

590 

317 
040 

8761 

8.479 
8.196 
7.912 
7.627 
7342 




61 
68 
6S 
64 
66 
66 
67 
6S 
69 
60 
61 
68 
6S 
64 
66 
66 
67 
6S 
69 
70 
71 
78 
7S 
74 
76 
78 
77 
7S 
79 
80 
81 
88 
88 
84 
86 
86 
87 
88 
89 
90 
91 
98 
98 
94 
96 
96 
97 
98 
99 
100 



10.190 
9.854 

9-517 

?.i8o 
-844 
8.509 

8.175 
7.843 
7-514 
7.188 
6866 
6.548 

6.235 
5.928 

5.626 

5-331 
5-042 

4-761 
4.487 
4.221 

3964 

3.715 

3-475 

3-243 
3.021 

2 808 

2 605 

2.410 

225 

049 
882 
724 
576 
435 
303 
179 
064 

956 

is6 

762 

676 

598 
521 
458 

397 

349 

323 
262 

203 

061 



Four 
Lives 



7.057 

6.774 
6.491 

6.211 

5-934 
5660 

5389 
5.12a 

4.861 

4.604 

4-353 
4.107 

3869 

3-636 

3-411 

3.J93 
2.983 

2.780 

2.586 

2-399 
2.221 

2.051 

1.889 

1-735 
1.589 

1.451 
1.322 

1.199 

1.084 

.977 
-877 
.784 
.697 
.617 

•543 
•475 
.414 

•357 
.306 

-259 
.218 

•183 
.147 
.121 
.096 
.077 
.071 
.051 
.038 
.C04 



^4 



H^ Table (King and Hardy). 



FORCE OF MORTALITY. 



Aise 


". 


Age. 
S6 


Mt 


Age. 
6S 


f^M 


Age. 


i ''t 





.I59«> 


.00716 


.01727 


78 


1 
.12523 


1 


.07901 


S7 


.00729 


6S 


.01833 


79 


.13062 


S 


02366 


SS 


.00742 


64 


.01950 


80 


.14909 


8 


.01787 


S9 


•00755 


66 


•02077 


81 


.16275 


4 


.01379 


SO 


.00768 


66 


.02216 


82 


.17772 


6 


.01142 


SI 


.00782 


67 


02369 


88 


.19412 


6 


.00925 
.00748 


SS 


.00798 


68 


.02536 


84 


.2iao9 


7 


SS 


■00815 


69 


.02719 


86 


.23177 


• 


.00607 


S4 


•00833 


60 


.02920 


86 


•85343 


9 


.00502 


Zb 


•00854 


61 


.03140 


87 


.27697 


10 


.00428 


S6 


.00876 


62 


•0338X 


88 


.30286 


11 


.00388 


S7 


.00901 


68 


.03645 


89 


•33"3 


It 


.00359 


SS 


.00928 


64 


03934 


90 


'3^3P 


IS 


.00342 


S9 


•00957 


66 


.04251 


91 


•39635 


14 


.00340 


40 


00990 


66 


•04S99 


98 


43366 


n 


.00353 
.003^ 


41 


.01025 


67 


.04979 


98 


•47453 


16 


49 


.01064 


68 


.05396 
•05853 


94 


•51930 


17 


.00414 


4S 


.01106 


69 


96 


•56836 


11 


.00458 


44 


•01 153 


70 


06353 


96 


.62211 


19 


.00504 


4S 


.01204 


71 


.06901 


97 


.68100 


SO 


.00550 


46 


.01260 


78 


.07502 


98 


•74552 


SI 


.00592 


47 


.01321 


78 


.08160 


99 


.81621 


tt 


.00629 


4S 


.01388 


74 


.08881 


100 


.89366 
•97851 


ss 


00659 


49 


.01462 


76 


09671 


101 


94 


.00682 


60 


.01542 


•16 


.10536 
•11485 

• 


10s 




S6 

1 
I 

i 

1 


.00701 


61 

1 
1 


.01631 


T7 


1 





H''^"^ Taijle. 



85 



TABLE I. 
HM(6) MORTALITY TABLE (WOOLHOUSE). 



• 

< 


xo 000 


40 


>« 


7« 

(1 - /.) 

.004 000 


• 

< 


6 399 


</» 


10 


.996 000 


64 


134 


11 


9 960 


34 


.996586 


.003 414 


66 


6 265 


139 


IS 


m 


30 


.996 978 


.003 022 


66 


6 126 


144 


18 


29 


.997 069 


.002 931 


67 


5 082 


150 


14 


9867 


30 


.996960 


.003 040 


68 


5 832 


155 


16 


9 837 


32 


.996 747 


.003 253 


69 


5 677 


161 


16 


9 80s 


37 


.996 226 


.003 774 


60 


5 516 


169 


17 


9768 


43 


•995 598 


.004 402 


61 


5 347 


176 


IS 


9 725 


53 


•994 550 


.005 450 


68 


5 171 


184 


19 


9 672 


65 


.993 280 


.006 720 


63 


4 987 


192 


SO 


9 607 


80 


.991 673 


.008 327 


64 


4 795 


200 


Si 


9527 


92 


•990 343 


.009 657 


66 


4 595 


205 


ss 


9 435 


97 


.989 719 


.010 281 


66 


4 390 


210 


ss 


9338 


100 


.989 291 


.010 709 


67 


4 180 


213 


S4 


9 238 


100 


.989 175 


.010 825 


68 


3 967 


216 


SS 


9 138 


96 


.989 494 


.010 506 


69 


3 751 


2T8 


S6 


9 042 


QI 


.989 936 


.010 064 


70 


3 533 


222 


87 


8 951 


89 


.990 057 


.009 943 


71 


3 311 


227 


S8 


8 862 


86 


.900 296 


.009 704 


78 


3 084 


233 


S9 


8776 


83 


.990 542 


.009 458 


73 


2 851 


238 


30 


8693 


80 


.990 797 


.0C9 203 


74 


2 613 


241 


81 


8 613 


79 


990 828 


.009 172 


76 


2 372 


236 


88 


8 534 


79 


•990 743 


.cxx) 257 


76 


2 136 


2.U 


88 


8 455 


78 


.990 775 


.OCX) 22s 


77 


I 905 


220 


84 


8 377 , 


79 


.990 569 


.009 431 


78 


I 685 


210 


86 


8298 ! 


83 


.989 998 


.010 002 


79 


I 475 


199 


86 


8 215 


85 


•989 653 


.010 347 


80 


I 276 


186 


87 


8 130 


87 


.989 299 


.010 701 


81 


I 090 


^73 


88 


8 043 


89 


•988 9.^5 


.011 g(:$ 


88 


917 


158 


89 


7 954 


89 


.988 811 


.011 189 


83 


759 


141 


40 


7865 


89 


.988 684 


.011 316 


84 


618 


123 


41 


7 77^ 


88 


.988 683 


oil 317 


85 


495 


104 


48 


7 688 


89 


.988 424 


•on 57^ 


86 


391 


86 


48 


7 599 


90 


.988 156 


.011 844 


87 


305 


71 


44 


7 509 


92 


.987 748 


.012 252 


88 


234 


57 


46 


7 417 


96 


.987 057 


.012 943 


89 


177 


46 


46 


7 321 


100 


.986 34 ( 


.013 659 


90 


131 


37 


47 


7 221 


104 


.985 598 


.014 402 


91 


94 


30 


4S 


7 117 


109 


,984 685 


•015 315 


98 


64 


23 


49 


7 008 


114 


•983 733 


.016 267 


93 


41 


18 


60 


6894 


118 


.982 884 


.017 116 


94 


23 


12 


61 


6776 


122 


•981 995 


.018 005 


96 


" 


7 


68 


6 654 


125 


.981 214 


.018 786 


96 


4 


4 


68 


6529 


130 


.980 089 


.019 911 









979 059 
977 813 
976 494 

974 925 
973 423 

971 640 
cyx) 362 
9<^7 084 
96^ 417 
961 500 

9^8 290 

955 386 i 
952 164 

949 043 
945 531 

941 882 

937 164 

931 44> 
924 449 

916 520 

907 769 
t,oo 506 
891 854 
884 514 

875 371 



865 085 

854 232 
841 284 
827 699 
814 230 

800 970 

789 899 
780 051 
767 213 
756 410 

740 112 

717 557 
680 851 
640 625 

5*^ 974 



9^ 

(1- /.) 



.020 941 
.023 187 
.023 506 
.025 075 
.026 577 

.028 360 
.030 638 
.032 916 

.035 583 
.038 5CO 

.041 710 
.044 614 
.047 836 
.050 957 
•054 449 

.058 118 
.062 836 
.068 559 

075 551 
.083 480 

.092 231 
.099 494 
.108 146 
.115 486 
.124 629 

»34 915 
.145 768 

.158 716 
.172 301 
.185 770 

.199 030 
.210 101 
.219 949 
.232 787 
.243 590 

.2S9 888 
.282 443 

3 TO 149 

•3'^9 375 
.439 026 



478 262 .521 738 
363 637 .636 363 



000 000 



1. 000 000 



86 



HM(ii) Table, 



Table IL 

Hm (5) COMMUTATION COLUMNS, 
FOUR PER CENT. 



Age. 


1 

6 75564 


N. 


s. 


I 38866 


R» 


10 


1 

132 786.0 


2 348 401 


43 851. S3 


11 


6 469.83 


126 316. 1 


: 2 215 615 


I 362.67 


42 462.87 


12 


6 19975 


120 116.4 


i 2 089 298 


I 341.44 


41 100.20 


13 


5 943-28 


114 173- I 


I 969 182 


1 323 42 


39 75876 


14 


5 697.95 


108 475.2 


I 855 009 


1 3A67 


38 435.34 


16 


5 462.14 


103 013.0 


' I 746 534 


I 290.02 


37 128.67 


16 


5 234.97 


97 778.06 


1 643 521 


, I 272.93 


35 838 65 


17 


5 014.63 


: 92 763 43 


I 545 743 


1 25394 


34 565.72 


18 


4 803.53 


87 962.90 


I 452 979 


I 232.71 


33 3" 79 


19 


4 590- 74 


83 372.16 


I 365 016 


■ I 207.55 


32 079.08 


SO 


4 384.51 


78 987.65 


I 281 644 


T 177.89 


30 871.53 


81 


4 180.77 


74 806.88 


I 202 657 


1 142.78 


29 693.64 


SS 


3 981.15 


70 825.73 
67 037.00 


1 127 850 


I 103.96 


28 550.86 


ss 


3 788.67 


I 057 024 


I 064.61 


27 446.89 


84 


3 603.94 


63 433 " 


989 986.9 


I 025.59 


26 382.29 


85 


3 427.82 


60 005 29 


Q26 553 8 


988082 


25 356.69 


86 


3 261.35 


56 743 94 


866 548.5 


953-456 


24 368.61 


87 


3 104 36 


53 63959 


809 804 5 


921.896 


23 415 16 


88 


2 955 28 


50 684 31 


756 164.9 


892.216 


22 493.26 


89 


2 814.04 


47 870.27 


705 480.6 


864.640 


21 601.04 


SO 


2 6S0.21 


45 '9006 


657 610.4 


839.050 


20 736.40 


31 


2 553 41 


42 636.65 


612 420.3 


815.333 


19 897 35 


88 


2 432 68 


40 20396 


569 783 7 


792.813 


19 082.02 
18 289 21 


S3 


2 317.47 


37 886.50 


529 579 7 


771.160 


34 


2 207.78 


35 678.72 


491 693.2 


750.603 


17 5^8.05 


85 


2 102.84 


33 575-88 


456 014.S 


730583 


16 767.44 


86 


2 001.74 


31 574.14 


422 4386 


710.359 


16 036.86 


87 


I 90483 


29 669 31 


390 864.4 


690443 


IS 326.50 


88 


I 811.97 


27 857.34 / 


361 195 I 


670.844 


24 636.06 


89 


I 723.00 


26 134.34 


333 337.8 

1 


651.564 


13 965.22 


40 


I 638.19 


24 496.14 


307 2035 1 


633.027 


13 313 65 


41 


I 55736 


22 938.78 


282 707.3 


615.202 


12 68062 


48 


I 480.52 


21 458.27 


259 768.5 ! 


598-255 


13 065.42 


48 


I 4?7.09 


20 051.17 


233 310.3 


581.775 


II 467.17 


44 


I 336.95 


18 714.22 


2x8 259.1 


565.751 


10 885.39 


45 


I 269.78 


17 444.44 


109 544-9 


550.001 


10 319.64 


46 


I 205.14 
I 142 96 


16 23^.31 


182 100.4 


534198 


9 769.640 


47 


15 096 35 


165 861. 1 


5X8.370 


9 235.442 
8 717 073 


48 


I 083.17 


14 013.18 


150 764.8 


503541 


49 


I 02556 


12 987.62 


136 751-6 


486.590 


8 214.531 


50 


970.073 


12 017.55 


123 764.0 


470.549 


7727941 


51 


916 797 


II 100.75 


III 7464 


454584 


7257392 
6 803.809 


*8 


86;. 664 


10 235.09 


100 645 7 


438.712 


53 


816.732 


9 418 353 


90 410.61 


423-075 


6 364007 


54 


769683 


8 648.671 


80 992 26 


407.438 


5 941 OM 



H» <^' Tables. 



87 



Table 11.— Con/, 

HM(6) COMMUTATION TABLES. 
FOUR PER CENT. 



Arc 



56 
66 
67 
61 
69 

M 
61 



.i 



66 

66 
67 
68 



70 
71 
7t 
78 
74 

76 
76 
77 
76 
79 

80 
81 
88 
88 
84 

86 
86 
87 
88 
89 



91 
9t 
98 

94 

96 
96 



D. 



724-582 
681.256 

639.656 

599631 
561.244 

524.353 
488.738 

454.472 

421.443 
389.632 

359.020 
329.8x0 

301.955 
275.547 
250.523 

226887 

204.452 
183.XII 
162.766 

143-441 

125.203 

XOO.410 

92.966 

79.067 

66.551 

55.358 
45.470 
36.782 

29273 
22.9x8 



8 
8 
6 

4 

X 

o 

5 
6 



17.65 i I 

13406 3 
10.055 4 

7.417 92 
5 395 18 

3.839 47 
a.649 07 

1.734 25 

1.068 28 

.57623 

.264 99 
.092 65 



• 


s. 


M. 


R. 


7 924.089 


72 343-59 


391941 


5 533583 


7 242.833 


64 41Q.50 


376483 


5 141-643 


6 603.178 


57 176 67 


361.085 


4 765.160 


6 003.547 


50 573-49 


345.662 


4 404.075 


5 442.303 


44 56994 


330.339 


4 058.413 


4 917950 


39 127 64 


315034 


3 728.074 


4 429.211 


34 209.69 


209.587 


3 413.040 


3 974 739 


29 780.48 


284.118 


3 "3-454 


3 553296 


25 805.74 


268569 


2 829.336 


3 163.663 


22 252.44 


252.967 


2 560.767 


2 804.644 


19 088.78 


237340 


2 307.800 


2 474-833 


x6 284.13 


221.939 


2 070.460 


2 X72 878 


13 80Q.30 


206.769 


I 848.520 


I 897.332 
X 646.809 


II 636.42 


191-974 


I 641 751 


9 739092 


177548 


I 449 777 


I 419.922 


8 092.283 


163 548 


I 272.228 


X 215.470 


6 672.361 


149. 840 


I X08.680 


I 032.359 


5 456.892 


136.362 


958. 8 JO 


869.592 8 


4 424.533 


123.060 


822 478 


726. X52 X 


3 5.S4.940 


109-995 


699.418 


600.949 2 


2 828.788 


97.273 9 


589.424 


492 539 6 


2 227.839 


85.296 I 


492x50 


399.572 8 


I 735 299 


74.023 


406.853 


320 505 


1 335- 726 


63.699 6 


332.831 


253 953 5 


I 015. 22X 


54.224 4 


269.131 


198.595 X 


76X.268 


45-591 


214.906 


153-125 


562.673 


37 831 8 


169.316 


116.342 9 


409.548 


30.802 6 


131-484 


87.069 4 


293205 


24.798 8 


100.591 


64.150 9 


206. X35 


19-569 8 


75 792 3 


46.499 8 


141.984 


15-183 7 


56.222 6 


33093 4 


95.485 


11. 617 9 


41 038 8 


23 038 


62.391 


8.782 6 


29.420 9 


15.620 I 


39-353 


6.531 8 


20.638 4 


10224 9 


23733 


4-794 4 


14-106 5 


6.385 5 


13-508 


3 446 2 


9.312 I 


3736 4 
2.002 I 


7.123 
3.386 


2.403 5 
15905 


5-86s 9 
3-462 4 


933 9 


1.384 


.991 3 


X.871 9 


•357 6 


.450 


-540 3 


.880 6 


.092 7 


093 


.251 2 


■340 3 


.000 


.000 


.089 X 


.089 I 



88 



H« <"'^ Table. 



Table III. 

HMf6) COMMUTATION COLUMNS. 
THREE AND ONE-HALF PER CENT. 



Age. 


D, 


N. 


s. 


.M» 


R. 


10 


1 

7 089.19 


152 122.0 


2 851 473.6 


I 705-23 


57 400.61 


11 


6 822.06 


145 300.0 


2 699 351.6 


I 677.84 


55 695.38 


12 


6 568.86 


138 7311 


2 554 051 6 


I 655.34 


54 017.54 


IS 


. 6 327.54 


132 403.6 


2 415 320.5 


I 636.15 


52 362.21 


14 


6 095 65 


126 307.9 


2 282 917.0 


I 618.24 


50 726.06 


16 


5 871.61 


120 436.3 


2 156 609.1 


I 600.33 


49 X07.82 


16 


5 654.60 


114 781.7 


2 036 172.8 


I 581.88 


47 507.49 


17 


5 44277 


109 338.9 


1 921 391 I 


X 561.26 


45 925.61 


18 


5 235-56 


104 103.4 


I 812 052.1 


I 538.11 


44 364.3s 


19 


5 030-95 


99 072.42 


I 707 948.8 


1 5x0.54 


42 826.24 


20 


4 828.15 


94 244 27 


I 608 876.4 


I 477.88 


41 31S 70 


21 


4 626 03 


89 618 24 


I 514 632 I 


I 439.03 


39 837.82 


22 


4 426.44 


85 191.80 


I 425 013 9 


I 395.87 


38 398.79 


28 


4 232.78 


80 9590a 


I 339 822 I 


1 351.90 


37 002.93 


24 


4 045.85 


76 913 17 


I 258 863.0 


I 308.10 


35 651.03 


26 


3 86672 


73 046.45 


I 181 949-9 


I 265.79 


34 342.92 


26 


3 ^>6 71 


69 349.74 


I 108 903 4 


I 22654 


33 077.13 


27 


3 535 76 


65 813 99 


I 039 553.7 


I 190.59 


31 850 59 


28 


3 382 22 


62 431.77 


973 739 7 


1 156.63 


30 660.00 


29 


3 236.13 


59 195 63 


911 307.9 


I 124.91 


29 503.37 


SO 


3 097.13 


56 098.51 


852 112. 3 


I 095.34 


28 378.46 


31 


2 964.86 


53 133 65 


796 or^.8 


I 067.81 


27 283.11 


32 


2 838.32 


50 295 33 


742 880.1 


I 041.53 


26 215.31 


33 1 


2 71695 


47 578.38 


692 584.8 


I 016.14 


25 173-78 


— — 1 

34 , 


2 600.86 , 


44 977.52 


645 006.4 


991 927 


24 157.63 


35 


2 489 21 


42 488.31 


600 028 9 


968.229 


23 165.71 


36 


2 380.98 


40 107.33 


557 540.6 


944-173 


22 197.48 


87 


2 276 66 


37 830.68 


517 433-3 


920.370 


21 253.31 


38 


2 176.13 


35 654 55 


479 602.6 


896831 


20 332.93 


39 

1 


2 079.28 


33 575 27 


443 948.0 


873-566 


19 436.10 


40 


I 986.48 


31 588.79 


410 372.8 


851.087 


18 562.54 


41 


I 89759 


29 691 20 


378 784.0 


829368 


17 711 45 


42 


I 812.67 


27 878.53 


349 092 8 


808 619 


16 882.08 


48 


I 731.10 , 


26 147.44 


321 214 2 


788.345 


16 073 46 


44 


I 652 75 


24 49469 


295 066.8 


768.535 


15 285.12 


45 


I 577.29 


•22 917.39 


270 572.1 


748.971 , 


14 516 58 


46 


I 504.23 ' 


21 413 16 i 


247 654-7 


729.246 1 


13 767.61 


47 


I 433- 5 1 


19 979.65 


226 241.5 


709394 1 


13 038.37 


48 


I 36509 ■ 


18 614.57 


206 261.9 


689.446 


12 328 97 


49 


I 208.72 


17 3»5.84 


187 647.3 


669.246 1 


" 63953 


60 


I 23439 


16 081.45 , 


170 331 5 


648.834 


10 070.28 


51 


I 172 24 


14 909.21 


154 250 


628.420 


10 331.45, 


52 . 


I 112 20 


13 797 01 \ 


139 340 8 


608.028 


9 693.026 


53 ' 


I 054.41 


12 742.60 


125 543-8 


587.841 ■ 


9084.998 
8 497.157 


64 


998.466 


" 744.13 


112 3oi.2 


567.557 



H^ <^^ Table. 



89 



Tablb III.— Cont. 

HM(6) COMMUTATION COLUMNS, 
THREE AND ONE-HALF PER CENT. 



Arc. 


• n. 


N. 


101 057.09 
90 257.45 


547-355 
527. 108 


R. 


M 


944.500 
892.513 

841-873 


10 799 634 
9 907.321 


7 929.600 
7 382 245 


67 


9 065 448 


80 350.13 


506.843 


6 855.137 


M 


793007 


8 272.441 


71 284.68 


486.446 


6 348.294 
5 861.848 


59 


745827 


7 526.614 


63 012.24 


466.083 


M 


700.170 


6 826 444 


55 48563 


445646 


5 395765 


61 


655.766 


6 170.678 


48 659.19 


424.920 


4 950.118 


6t 


612.73s 


5 557.943 


42 488.51 


404.065 


4 525.198 


6S 


570.949 


4 986994 


36 930.57 


382.999 


4 121 133 


64 


530403 


4 456.590 


31 943-57 


361.761 


3 738.134 


66 


491.092 


3 965499 


27 486.98 


340.386 


3 376 373 


66 


453-3^6 


3 512.182 


23 521.48 


319.217 


3 035 987 


67 


417035 


3 095.147 


20 009 30 


298.266 


2 710.770 


66 


382.400 


2 712.746 


16 914.15 


277734 


2 4»8.504 


69 


349-352 


2 363.395 


14 201.41 


257.616 


2 140.770 


70 


317.021 
287.869 


2 045.474 


II 838.01 


237999 


I 883.154 


71 


I 757605 


9 792.539 


218.698 


1 645.154 


79 


259065 


1 498.540 


8 034.934 


199.629 


I 426.456 


7S 


231 394 


I 267.146 


6 536.395 


180.719 


I 226 827 


74 


204.905 


I 062.240 


5 269.249 


162.055 


1 046.108 


76 


179.717 


882.523 8 


4 207.008 


143.796 


884.053 3 


76 


156.363 


726.160 5 


3 324.485 


126.519 


740.257 8 


77 


134737 


591.423 2 


2 598.324 


1 10. 181 


613-738 3 


76 


115.147 


476.276 2 


2 006.901 


95- 147 2 


503.557 I 


w ; 


97.387 8 


378.888 4 


I 530.625 


81.281 8 


408.409 9 


80 ; 


81.399 7 


297.488 7 


I 151.736 


68.587 


327.128 I 


61 i 


67.182 8 


230.305 9 


854.248 


57.122 8 


258.541 I 


82 


54.608 6 


175697 4 


623 942 


46.820 4 


201.418 3 


1 

86 


43.671 


132.026 4 


448.244 


37729 5 


154597 9 


84 


34.355 7 


97.670 7 


316.218 


29.891 I 


116.868 4 


86 


26.587 4 


71.083 3 


218.547 


23- 284 5 


86977 3 


86 


20.291 2 


50.792 2 


147.464 


17.887 4 


63.692 8 


87 


15.292 9 


35.499 3 


96.672 


13.57.'^ 3 


45.805 5 


88 


11.336 1 


24.16^ I 


61.173 


10.135 7 


32.230 2 


89 


8.284 8 


15.878 3 


37.009 


7.467 7 


22.094 5 


90 


5.924 3 


9 954 


21. 131 


5.387 4 


14.626 8 


91 


4.107 3 


5846 7 


11.177 


3-770 7 


9-239 4 


9t 


2.701 9 


3.144 8 


5330 


2.504 2 


5468 7 


98 


1.672 4 


1.472 4 


2.186 


1.566 


2.964 6 


94 


.906 4 


.566 

1 


-713 


.856 6 


1398 5 


96 


.418 9 


.147 2 


.147 


•399 7 


•541 9 


96 


.147 2 


.coo 

1 

1 


.000 

1 


.142 2 

1 


.142 2 



90 



H''^'^^ Table. 







Table IV. 








HM(6) COMMUTATION COLUMNS, 








THREE 


PER CENT. 






Arc. 


1). 


N. 


s. 


M. 


K. 


10 


7 440.94 


175 322.2 


3 487 413-4 


2 117.74 


75 864 78 


11 


7 195-33 


168 126.9 


3 312 091.2 


3 08884 


73 747 04 


12 


6 961.90 


161 165 


3 143 964 3 


3 065.00 


71 658 19 


18 


6 738 69 


154 42* 3 


2 982 799.4 


2 044.57 


6959319 


14 


6 52325 


147 903 


2 828 373.1 


2 025.40 


67 548.62 


15 


6 314.00 


141 5890 


2 680 470.1 


2 006.14 


65 523 23 


16 


6 no 15 


135 478.9 


2 538 881.0 


I 986.20 


63 5i7 09 


17 


5 909.80 


129 569.1 


2 403 402.2 


I 963 81 


61 530 89 


18 


5 712.41 


123 856 7 


2 273 833 1 


1 938.56 


59 56707 


19 


5 515 81 


118 3409 


2 149 976.4 


1 908.33 


57 628.5a 


80 


5 319.16 


113 021 7 


2 031 63s. 6 


I 872.34 


55 720.19 


81 


5 121.23 
4 924.06 


107 900.5 


1 918 613.9 


I 82934 


53 847.85 


ss 


102 976 4 


I 810 713.4 


I 781.32 


52 018.51 


n 


4 731 49 


98 244.92 


1 707 737-0 


I 732.17 


50 237.18 


84 


4 54448 


93 700.44 


I 609 492.1 


1 682.98 


48 50501 


86 


4 36436 


89 336 08 


1 5«5 791 6 


I 635.22 


46 822.03 


86 


4 19^-73 


85 143 35 


1 426 455-5 


I 59071 


45 186.81 


87 


4 029 64 


81 113.71 


I 341 3122 


1 549-74 


43 596.10 


88 


3 87337 


77 24033 


I 260 198.5 


I 5*0.84 


42 046.36 


89 


3 724.06 


73 516 27 


I 182 958 2 


I 474-35 


4053552 


80 


3 581 40 


69 954.87 
66 489.78 


I IC9 441.9 


X 440.15 


39 061.18 


81 


3 445 09 


1 039 507.0 


I 4< 8.15 


37 621.05 

36 312.88 


88 


3 3'4 «7 


63 17s 71 


973 OI7-2 


1 377-47 


88 


3 187 76 


59 98795 


909 841.5 


1 347 69 


34 855 40 
33487.72 


84 


3 066.36 


56 921.60 


849 853.6 


I 319-14 


85 


2 948.97 


53 972.6| 


792 932.0 


I 291.06 


32 168.58 


86 


2 834.44 


51 138 18 


738 959 3 
687 821.2 


X 262 42 


30 877.52 


87 


2 723 41 


48 414.77 


I 233.95 


aq 615.10 


88 


2 615.79 


45 798.98 


639 406.4 


1 205.65 


28 381.15 


89 


2 511.50 


43 287.47 


593 607.4 


1 177-55 


27 17549 


40 


a 411.07 


40 876.41 


550 319 9 


1 150.27 


25 997.94 


41 


2 31436 


38 562.05 


509 443 5 


1 123-78 


24 847 67 


48 


2 221.52 


36 340.53 


470 881.5 


I 098.35 


23 723-89 


43 


2 131 85 


34 208.69 


434 541 


I 073.38 


22 62554 


44 


2 045.24 


32 163.45 


400 3323 


I 048.87 


21 552.'5 


45 
46 


I 961.34 
I 879 57 


30 202.10 
28 322 54 


^68 168.8 
337 966.7 


I 024.54 
999895 


20 503.28 
19 478.74 


47 


1 799 90 


26 522 64 


309 644 2 


974969 


18 478.85 


48 


I 722 31 


24 800.^3 
23 153 80 


283 121. 5 


949.801 


17 503.88 


49 


I 646.53 


258 321 2 


924.192 


16554.08 


50 


I 572.57 


21 581.23 


235 1674 


898.188 


15 639.88 


51 


I 500 63 


, 20 080.60 


213 586.2 


872.055 


14 731 70 


58 


I 430 70 


18 649 90 


193 505 6 


845823 


13 859 64 


58 


I 362.93 


17 286.97 


174 855.7 


819730 


13 013.83 


54 


I 296.89 


15 990 08 


157 508.7 


793-383 


12 194.09 



H-^*^) Table. 



91 



Table IV.— Gmi/. 

H>i(5) COMMUTATION COLUMNS, 
THREE PER CENT. 



Age. 


D, 


1 


s, 
141 5786 

126 821.3 
113 234.2 

100 756 7 
89 329.28 


1 

M. 


R. 


65 
66 
67 
68 
69 


1 23a 75 

, I 170-29 

I 109.49 

1 OS017 

992.482 


1 

14 757-34 
13 58705 
12 477.56 
II 427.39 
10 434.91 


767016 
740.462 

713754 
686.743 

659.645 


1 II 400 71 
10 63^.69 
9 893.228 
9 179 474 
8 492 731 


60 
61 
6t 

68 
64 


1 036.248 
881.129 

827.307 
774-630 

723113 


9 498.661 
8 617.532 
7 790.225 
7 015.596 
6 292.483 


78 894.37 

69 395-71 
60 778.18 

52 987.95 
45 972 35 


632.318 

604.469 

' 570.311 

547730 

518.775 


7 833 085 
7 200.767 
6 596.298 
6 019 987 
5 472.257 


66 
66 
67 
68 

69 


672.769 
624.033 
576.876 

S3i.534 
487954 


5 619.714 
4995680 

4 418.805 

3 887.271 

3 399.317 


39 679.87 
34 060.16 

29 064.48 
24 645.67 
20 758.40 


489.493 
460.352 

431-370 
402.831 

374732 


4 953 482 

4 463989 
4 003.637 

3 572.267 
3 169 436 


70 
71 
78 
78 
74 


446.209 

405991 

367142 

329519 
293.214 


2 953-109 
2 547.118 
2 179.976 
I 850457 
I 557.243 


17 359 08 
14 40S.98 
II 858.86 
9 678 882 
7 828.425 


347199 
319.978 
292.954 
266024 
239.317 


2 794 704 
2 447 504 
2 127.526 

1 834 572 
I 568.548 


76 
76 
77 
78 
79 


258.418 
225.929 
195627 
167.995 
142.77s 


I 298.825 

I 072.896 
877.269 2 
V09.274 2 

566.499 5 

■ 


6 271. 181 

4 972.356 
3 899.460 
3 022.191 
2 312.917 


213.061 
188.099 
164.378 

142.443 
122.116 


I 329.231 

I 1 16. 109 

928.070 

763.693 

621.249 


80 . 

81 

88 

88 

84 


"9915 

99 451 5 
81.230 I 

65.275 8 
51.601 4 


466.584 7 i 

347.133 2 
265.903 X 

aoo.627 3 
149.025 9 


I 746.417 

1 299 833 
952.699 

686.796 

486.169 


103.415 
86.444 2 

71.119 4 
57.531 
45.757 9 


499133 
395.718 

309.274 

238.155 
180.624 


86 
86 
87 
88 
89 


40.127 4 

30.773 4 

23.305 7 
17 359 6 

12.748 5 


108.898 5 1 
78.125 I 

54.8194 
37.459 8 
24.711 3 i 


337.143 
228.245 

150.120 

95300 

57.840 


35.7869 
27.601 6 
21. 030 a 
15.762 9 

"657 5 


134.866 
99.079 

71.477 
50.447 
34.684 


90 
91 
9t 
98 

94 


9.1605 
6.381 8 
4.218 ^ 
2.623 8 
1.4290 


155507 i 
9.169 ; 

4.950 5 1 


33129 

17.578 

8.409 

3-459 

1.132 


8.440 8 

5.928 8 

3951 4 
2.479 6 

1. 361 2 


23.027 
14-586 

8.657 
4.706 

2.226 


96 

96 


.6635 
•2343 


•234 3 
.000 


.234 
.000 


637 4 
.227 4 


.865 
.227 



92 



H* (Woulhuuse) Table. 





Table I. 
INSTITUTE OF ACTUARIES* TABLES. 




FEMAr,E LIVES. 


Hr. WOOLHOUSE'S FORMULA. 


Age. 


No. Living. 


Decrement. 


Probability of 

Suiviving. 

1 


Probability of 
Dyiag. 


10 


lOO ooo 


314 


.996 860 


.003 140 


11 


99686 


420 


.995 786 8 1 


.004 213 2 


12 


99 ^66 


510 


.994 8625 1 
.994 116 8 


•a>5 137 7 
.005 883 2 


IS 


98 756 


581 


14 


98 175 


632 


•993 562 5 ' 


.0064375 


16 


97 543 


667 


.993 162 


.006 838 


16 


96 876 


683 


.992 949 8 


.007 050 2 


17 


96 193 


680 


•992 930 9 


.007069 1 


18 


95 513 


_ 

659 


993 100 4 


.006 899 6 


19 


94 854 


635 


•993 305 5 

1 


.0066945 


20 


94 219 


648 


993 122 4 1 


.006 877 6 


21 


93 571 


682 


992 711 4 1 


.007 288 6 


22 


9a 889 


736 


.992 076 6 


.007 923 4 
.008 822 3 


28 


9a 153 


2'3 


991 177 7 


24 


91 340 


899 


•990 157 7 


.009 842 3 


25 


00441 
89463 


978 


.089 186 3 


.010 813 7 


26 


IC18 


988 621 


.011 379 
on 815 3 


27 


88 445 


1045 


.988 184 7 


28 


87 400 


1050 


987 986 3 


.012 013 7 


29 


86350 


1032 


.988 048 6 


.on 951 4 


30 


85 318 


lOXI 


.988 150 2 


.011 849 8 


31 


84 307 


987 


.988 29a 8 


.on 707 2 


32 


83 320 


964 


.988 430 2 


.on 569 8 


33 


82 30 


960 


988 343 3 


.on 656 7 


84 


81 396 


954 


.988 279 5 


.on 720 5 


85 


80 442 


946 


.988 240 


.011 760 


86 


79 496 


946 


.988 100 


.on 900 


87 


78 550 


946 


•987 956 7 1 


.012 043 3 


88 


77 604 


946 


.987 809 9 i 


.012 190 I 


89 


76 658 


946 


987 659 5 ! 


.012 340 5 


40 


75 7^2 


950 


•987 452 5 1 


.012 547 5 


41 


74 7^^2 


1 953 


.987 252 9 1 


.012 747 I 


42 


73 809 


' 955 


.987 o6t 2 


.012 938 8 


48 


72 854 


958 


.986 850 4 


.013 149 6 


44 


71 896 


962 


.986 619 6 


.013 380 4 


45 


70 9.=W 


966 


.986 381 7 


.013 618 3 


46 


69 968 


963 


.986 236 6 


.013 763 4 


47 


69005 


958 


.986 116 9 j 


.013 883 I 


48 


68 047 


953 


.985 095 


.014 C05 


49 


67 094 


950 


.985 840 8 


.014 159 2 


50 


66 T44 


956 


•985 546 7 1 


.014 453 3 


51 


65 188 


975 


985 043 3 


,014 956 7 


52 


64 213 


XC03 


.984 380 1 1 


.0 5 61Q 9 


58 


63 210 


1037 


.983 594 4 


.016 405 6 


54 


62 173 


108 1 


.982 613 


.017 387 



H' (Wooi.house) Tahlk. 



Table i.—Cem. 



A«c. 


N«- Living, 1 U« 


™..,., 


Plobl ll)'L|( 


PruliaMlilr '■! 
Tiring. 


M 
W 


il 


■44 

■s 

"31 


SSI 


.018 »67 5 


W 

St 


55^35 

53 9=7 1 

S»53» 1 

49436 j 


3=>a 

395 
706 


■976 319 4 
.974 "31 7 

Sim 

.9654907 


,0936806 

.031 3&, 4 
,034 509 3 


(9 


47730 ! 

12 186 

40 aa( 





.9&.<fa3 t 

■M3 017 6 
.949 010 


,037 376 9 
040 1776 

.050990 Q 


70 


33 799 

us 


.S3 

H=5 
M90 


-944 357 ' 

.9339204 
.914 144 4 


■SIS' 

.08s 75s 6 


Tl 


=6=4| 

1. 


;18 
3-^3 


■905 14s 8 


"5 053 5 

-119 339 6 


I 


U93S 

9 98a 

8 S3S 


8lq 
389 


.878 213 7 

!B6a^o 


.1617989 


It 

n 


1SB3 
3497 


717 


■IS' 

■74" 77B I 
-7^7 448 


SSI 

,272 SS2 


H 


' 8B7 I 
630 


"7 


,7149603 

Bjo 3>3 5 
,814 28s 7 


,a73 039 7 

.2690058 

232 0000 


i; 


406 1 


i 


-791 433 
.743 84" 4 
,66a as. 6 


.308 =77 

356 .57 6 
337 748 4 


»» 


.«. 


.00 


.000 ooQ a 





COMMLTATION COLUMNS, H'. 



8 717.S16 
7 763 JI 



650993 
6 133.39 
5 77' 91 



1 14a 675 

I 087 348 

I oaS 715 

97a 9B9.5 

gig 977-7 

869 S7S.2 
821 673.0 
776 107 
73a 9084 



580 3439 
SI6 8S9.1 
S15 099.9 

48s 007.4 
456 ■>« 2 

419 _r;7j.8 



328 S56 7 
274 »9*-S 
aoo 5237 



,41 244 a 

132 457.8 
laj 2ao 4 
t<* 5025 
106 275 S 

9a 5'3 54 

51 igo.76 

14284.60 
77 771^ 
71 6 a.3j 



19 196 ^16 

iS 047 B43 
16 g6o S94 



14 038 912 
■3 '69 336 
12 347 663 
II ^7t SP7 



S 865031 
5 4601*41 

S 080943 
4 733 726 
4 388 049 



1 087 6lo 
1 B24 054 
1 671 445 



9 276.46 
9 "19 34 

8 760,39 
8 49396 



7 599-76 
72B958 
6 9S4 89 



335 074.1 

"'s 797.7 

ao6 7783 



13a 263.Q 
1 26 346,3 
lao 655.0 



66 60712 

63 t^s-fia 

56 365,83 



Commutation Columns. H'. 



95 



Table Xll.—CoHi. 

COMMUTATION COLUMNS, Hr. 
FOUR AND ONE-HALF PER CENT. 



Age. 


D. 


N, 


s. 


M. 


R. 


66 


5 437-36 


60 443.09 


563 467.4 


2 590.83 


38 769 77 


66 


5 098 77 


55 344.32 


503 034.4 


2 495.96 


36 178.94 


67 


4 786.14 


50 558.18 


447 680.0 


3 403.89 


33 682 98 


61 


4 488.95 


46 069.33 


397 121.9 


2 311.80 


3 c 380.10 


69 


4 ao6.5S 


41 863.68 


351 053.6 


3 333.71 


38 968.29 


60 


3 937 $5 


37 925.<^ 
34 246.18 


309 189.9 


2 134-95 


26 745 59 


61 


3 678.85 


371 364 9 


2 045.73 


34 6x0.64 


6S 


3^-37 
3 188.30 


30 816.81 


337 018.7 


I 954.65 


33 564 93 


63 


27 638.53 


306 301.9 


I 861.36 


30 610.37 


64 


a 95539 


34 673.33 


178 573 4 


I 765-55 


18 749.0X 


66 


a 730.44 


31 943.78 


153 900.2 


1 667.96 


16 983 46 


66 


3 515.30 


19 437.58 


131 957.4 


I 57030 


15 315-50 


67 


3 310.19 


17 117.40 


113 529.8 


I 473-59 


13 745-21 


61 


3 114 76 
I 938.61 


15 002.64 


95 413 4a 


1 377.64 


13 271 62 


69 


13 074.03 


80 409.78 


1 282.57 


10 893.97 


70 


I 751.46 


II 333.57 


67 335.76 


X 188.46 


9 611.403 


71 


I 583.78 


9 739 789 
8 318.996 


56 013.19 


X 095.20 


8 422.941 


71 


I 420.79 


46 273 40 


I CO! 38 


7 327.739 


7S 


I 365.56 


7 053 434 


37 954.41 


907327 


6 336 3&3 


74 


I 117.73 


5 935.719 


30 900.97 


813.979 


5 419-035 


76 


977.861 


4 957.858 


24 96525 


732.256 


4 605.056 


76 


846.993 


4 X 10.866 


20 007 39 


633496 


3 882.80c 


77 


736.188 


3 384.677 


15 896.53 


549 166 


3 249.303 


78 


618.640 


3 766.037 


12 S11.85 


472889 


3 700.138 


79 


523.889 


3 343.148 


9 745.81S 


404-/77 


3 237.249 


•0 


441500 


I 800.648 


7 503.667 


344.949 


I 822.473 


81 


371.035 
3II.I80 


I 439.613 


5 703.019 


293.495 


I 477 524 


88 


1 118.433 


4 273.406 


249.617 


I 184.028 


88 


258.563 


859.871 


3 154.973 


310.400 


934 411 


84 


311.486 


648.384 


3 395.103 


174.458 


724 on 


86 


169.432 


478.953 


I 646.7x8 
I 107.766 


141.511 


549-552 


86 


132 038 


346.915 


111.413 


408.041 


87 


99548 

73.687 9 


347.367 


820.851 


84.609 I 


296.628 


88 


174.679 


573.485 
398.806 


63.035 8 


312.019 


89 


5i.59» 5 


123.083 


44.074 4 


149983 


90 


35.917 5 


87.165 


375.724 


30-617 3 


105.909 


91 


24.917 5 


63.347 


188.559 


31.164 


75.291 


98 


17.430 2 


44.817 


136.313 


14 749 7 


54- J 27 


98 


13.809 9 


32.007 


81.495 


10880 


39378 


M 


10.055 6 


31.952 


49.488 


8.677 3 


38.498 


96 


7.835 6 


14.116 


27-536 


6.8903 


X9.820 


96 


5.934 2 


8.183 


13.420 


5.3263 
3.871 7 


12930 


97 


4.334 


3958 


5.239 
1. 381 


7.604 


98 


3.676 9 
x.S(8o 8 


Z.381 


2.506 5 


3732 


99 


.000 1 


.000 


1.325 7 


X.326 



96 



H'' (WooLHoist) Tahi.e. 







Table III. 










COMMUTATIOM COLUMNS, Hr. 






I^. 


FOUR PER CENT. 






Arc. 


N. 


23 182 517 


14 6ao.6 


R. 


10 


67 556.4 


I 308 776 


431 7609 


11 


64 754- 1 


I 244 021 


21 873 741 


14 416.6 


417 140.3 


12 


62 001 2 


I 182 020 


20 629 720 


14 154.3 


402 723.7 


18 


59 3103 


I 122 710 


19 447 700 


13 848.0 


388 569.4 


14 


56 693.6 


X 066 016 


18 324 990 


13 512.5 


374 721.5 


16 


54 162.3 


I oxi 854 


17 258 973 


X3 161.5 


361 909.0 


16 


51 722.9 


960 I3I.2 


16 247 119 


12 805.4 


348 047.5 


17 


49 382.9 


910 748.3 


15 286 988 


X2 454.8 


335 242 


18 


47 1479 


863 6034 


X4 376 240 


12 119. X 


322 787.2 


19 


45 021.7 


818 578.7 


13 512 639 


H 806.3 . 


310 668.x 


20 


43 a»3 


775 578.4 


12 694 061 


II 516.5 


398 86X.8 


21 


41 062.1 


734 516.3 


II 918 482 


II 332.2 


287 345.3 


82 


39 195 


695 321 3 


II X83 966 


10 944.4 


276 iiri 
365 1^7 


88 


37 388.9 


657 932.4 


10 488 645 


10 64^.8 


24 


35 633.7 


622 298.7 


9 830 712 


10 328.6 


254 522.9 


26 « 


33 925-9 
32 268.4 


588 372.7 


9 208 414 


9 99138 


244 194 3 


26 


556 104.4 


8 620 041 


9 6^8.62 


334 2029 


27 


30 674.2 


525 430.2 
496 284.2 


8 063 937 


9 285 56 


224 564 3 


28 


29 145 9 


7 538 507 


8 937.08 


215 278.7 


89 


27 688.3 


468 596.0 


7 042 222 


8 600.40 


206 341.7 


80 


26 305.1 


442 290.9 


6 573 626 


8 283.31 


197 741 3 


81 


24 993 7 


417 297.2 


6 131 335 


7 98249 


189 459.1 


82 


23 75I-0 


393 546.2 


5 714 038 


7 701.14 


181 4766 


88 


22 573 3 


370 972.9 


5 320 492 


7 436 91 
7 18390 


173 775 4 


84 


21 452.1 


349 520.8 


4 949 519 


166 338.5 


86 


20 3853 


329 1355 


4 599 998 


6943.X4 


159 1546 


86 


19 370.7 


309 7648 


4 270 863 
3 961 098 


6 7x1.63 


152 3X2. S 


87 


18 404.0 


291 360.8 


48999 


145 500.9 


88 


17 483 I 


273 877.8 


3 669 737 


6 276.87 


139 010.9 


89 


16 605.7 


257 272.1 


3 395 860 


6 071.94 


132 734.0 


40 


15 7700 


241 502.1 


3 138 588 


5 87490 


136 663.x 


41 


14 973-2 


226 528.9 


2 897 085 


5 684.64 


130 787.2 


42 


14 213.8 


212 315 I 


2 670 557 


5 501. II 


115 XO2.5 


48 


13 490.3 


198 824.9 


2 458 241 


5 324-28 


109 601.4 


44 


12 800.8 


186 024.1 


2 259 417 


5 15371 


104 277.x 


46 


12 1438 


173 880.3 


2 073 392 


4 989.02 


99 123 41 


46 


II 5'7 7 


162 362.6 


1 899 512 


4 830.00 


94 134-40 


47 


10 922 3 


151 4403 


I 737 150 
I 585 709 


4 677 57 


89 304 40 


48 


10 356.4 


141 0839 


4 531 77 


84 63683 


49 


9 818.61 


131 265.3 


I 444 625 


4 392.31 


80 095.05 


SO 


9 307 30 
8 819.98 


121 958.0 


I 313 360 


4 258.65 


75 702.74 


61 


113 i\Bo 


I 191 402 


4 139.28 


71 444 11 


52 


8 3';3.9o 


104 784 I 


I 078 264 


4002.44 


67 314-83 


68 


7 907.13 


96 876 96 


973 480.2 


3 876.97 


63 312.39 


64 


7 478 28 


8939869 


876 603 2 


3 752.24 


59 435 42 



H*' (Woolhouse) Table. 



97 



Table III.~Om/. 

COMMUTATION COLUMNS. Hk. 
FOUR PER CENT. 



Arc. 



55 
56 
57 
58 
69 

60 
61 
62 
63 
64 

65 
66 
67 
68 



70 

71 
78 
78 
74 

75 
76 
77 
78 
79 

80 
81 
88 
88 
84 

85 
86 

87 
88 
89 

90 
91 
98 
98 
94 

95 
96 
97 
98 
99 



n. 



7 065.63 

6 669.77 
6 390.91 
5 928.65 
5 582.39 



5 

4 

4 
4 

4 

3 

3 

3 

3 

2 

2 
2 
3 
I 
I 

I 
I 
z 



350.66 
939.16 
616.9 

3130: 
017.07 

72927 
451.81 
185.70 
93033 

685.15 

450.23 
334.89 
006.80 

796.13 
593.93 

401.30 

319.51 

050.60 

899.308 

765230 

647.988 

547.185 
461. 1 19 
384.991 
316.^10 

254-7" 
199449 

151095 

110.857 

76.068 

55.305 
38.552 
27.197 
20010 

15783 

13.358 

9404 
6.736 
4-283 

2.059 





N. 


787 204.5 


M. 




82 333.06 


3 637.23 




75 663.30 


704 871.5 


3 503." 




69 372.39 


629 308.3 


3 380.78 




63 443 74 


559 835 8 


3 260.48 




57 861.35 


496 393.0 


3 142.24 




52 610.69 


438 530.7 


3 035.32 




47 681.53 


385 920.0 


2 90567 




43 06456 


338 238.5 


2 783.06 




38 75151 


395 173 Q 


2 656.72 




34 734 44 


356 433.4 


2 536.63 




31 005.16 


321 688.0 


2 393.33 




27 553.35 


190 682.8 


2 259.31 




24 367.65 


163 139.5 


2 125.96 




21 437-42 


138 761.8 


1 993.01 




18 752.27 


117 324.4 


1 860.64 




z6 302.05 


98 573.11 


z 728.99 




14 ^1' '5 


83 370.07 


I 597.89 




12 07036 


68 193.93 


1 465 37 




10 274.22 


56 Z22.56 


I 331 89 




8 680.290 


45 848.34 


1 198.77 




7 279.095 


37 168.05 


I 067.34 




6 059.589 


39 888.96 


939.541 




5 008.991 


23 829.37 


817537 




4 109.684 


18 820.38 


706.654 




3 344.454 


Z4 710.69 


607.165 




2 696.465 


I z 36624 


519-355 




2 149 281 


8 669 773 


443 475 




z 688.162 


6 520 493 


378 454 




I 303 171 


4 832.331 


320.062 




986.761 


3 529.161 


266.288 




732.050 


2 S42.400 


216.758 




532601 


1 810.350 


171 293 




38Z.506 


z 277.749 


130.610 




270.650 


896.243 


96183 4 


4 


191.581 


625.593 


68.658 8 


9 


136.275 


434.012 


47 937 4 


5 


97.723 


297.737 


33311 1 


7 


70625 


200.014 


23339 1 


6 


50615 


129389 


17 294 3 


6 


34.831 


78.774 


13.836 9 


z 


22.473 


43-943 


11.018 4 


3 


13069 


21.470 


8.539 9 


3 


6.342 


8.402 


6.223 6 


z 


2.059 


2.059 


4 039 2 


2 


.CXX) 


j .000 


I 980 



R. 



55 683.18 
52 055.96 
48 552.85 
45 172.07 

41 911.59 



38 76935 

35 744 12 
32 838.45 
30 055.39 
27 398 67 


; 34 872.04 
33 478.70 
30 319.40 
18 09344 
16 100.43 


14 339.80 
Z3 510.81 
10 912.93 

9 447 .S51 
8 115.663 


6 916.893 

5 849555 
4 910.014 
4 093.477 

3 385.823 


3 778.658 
2 259303 
I 815. S28 


1 437.373 
I Z17.313 


851.024 
634265 
462.972 
332 362 

236.179 

1 


167530 

119583 
86.271 

; 62.933 

45.638 

1 


31 801 

20783 

12343 

6019 

I 980 

1 



98 



H' (Woolhouse) Table. 







Table IV. 








COMMUTATION COLUMNS. Hf. 
THREE AND ONB-HALF PER CENT. 




Age. 


D. 


N, 


S. 


M, 


R« 


10 
11 
12 
18 
14 


TO 891.9 

68 2795 
65 692.6 

60 650.7 


I 499 667 

I 431 387 
I 365 69s 
I 302 550 
I 241 899 


28 199 634 
26 699967 
25 268 580 
23 902 885 
22 600 335 


17 781.2 
17 566.1 
17 288.2 
16 962.1 
16 603.1 


563 837.1 
546 055.9 
528 489.8 
511 201.6 
494 2396 


16 
16 
17 
18 
19 


58 222.5 
55 869.0 
53 599- 1 
51 430.5 
49 338.9 


I 183 677 
I 127 808 
I 074 208 
I 022 788 

973 449- 1 


21 3S8 436 

20 174 759 
19 046 952 
17 972 743 
16949 955 


16 2259 

15 8^1 3 
15 460-7 
15 0946 
14 751.8 


477 636 4 
461 410.5 
445 569 2 
430 108.6 
415 014.0 


SO 
81 
88 
88 
84 


47 351-3 

45 435-4 

43 578.9 
41 771.6 

40 003.0 


926097.9 
880 662.5 
837 083.6 
795 312.0 
755 3090 


15 976 506 
15 050 408 
14 169 746 
13 332 662 
12 537 350 


14 432.7 
14 118.0 
13 798.1 

134645 
13 108.4 


400 262.2 
385 829.5 
371 7" 4 
357 913-4 
344 448.9 


86 

86 
27 
28 

29 


38 269.8 
36 575 9 
34 936.9 
33 356.6 
31 841.4 


717 039.1 
680 463.3 
645 526.4 
612 169.8 
580328.4 


II 782 041 

II 065 002 

10 384 539 

9 739 012 

9 126 843 


12 728.0 
12 328.1 
II 926.0 
II 527.2 
II I40.0 


331 3405 
318 612.5 

306 284 4 

294 358 4 
282 831.2 


SO 
81 
88 
SS 
84 


30 397.0 
29 021.0 
27 711.4 
26 464.5 

25 271.5 


549 931-5 
520 910.4 

493 199- 1 
466 734.6 

441 463-1 


8 546 514 
7996583 
7 475 672 
6 982 473 
6 515 739 


10 772.3 
10424.3 
10 096.0 
9 786.27 
9 488.21 


271 691.2 
260 918.Q 
250 494 5 
240 598.5 
230 012.2 


S6 
86 
87 
88 
89 


24 1307 
23 040.5 
21 996.5 
20 996.7 
20 039.4 


417 332.3 
394 291 8 

372 2953 

351 298.6 

331 259.2 


6 074 276 

5 656 943 
5 262 651 
4 890 356 
4 539 058 


9 202.03 
8 927.85 
8 662.94 

8 40699 
8 159.70 


221 124.0 
211 922.0 
ao2 9941 
194 331 2 
185 924.2 


40 
41 
48 
48 
44 


19 122.8 
18 244.3 
17 402.6 
16 596.6 
15 824.5 


312 136.5 
293 892.2 
276 489.6 

259 893.0 
244068.5 


4 207 798 
3 895 662 
3 601 770 
3 325 280 
3 o6§ 387 


7 92076 
7688.93 
7 464 24 
7 246.68 . 
7 035.82 i 

1 


-^77 764 5 
169 843-7 
162 154.8 
154 690.6 

147 443-9 


46 
46 
47 
48 

49 


15 084.8 
14 376.2 
13 698.9 

13 051.9 
12 433.9 


228 983.8 
214 607.6 
200 908.7 
187 856.9 
175 423 


2 821 319 

2 592 335 
2 377 727 
2 176 818 
I 988 962 


6 831.24 • 
6 632.76 
6 441.59 
6 257.84 
6 081.23 


140 408 I 
133 576 8 
120 944.1 
120 502.5 
114244.6 


60 
61 
68 
68 
64 


" 843.3 
II 277.4 
10 733 I 
10 208.2 

9 701.14 

1 


163 579-7 
152 302.3 
141 569.2 
131 361.0 
121 659.9 


I 813 539 
I 649 959 
I 497 657 
I 356 087 
I 224 726 


5 9"i3 
5 745-74 
5 582 77 . 
5 430.79 
5 258.98 


108 163.4 
Z02 252.3 

96506.54 
00923.76 

85 502.97 



H'' (Woolhouse) Table. 



99 



Table I 7.—Cont. 

COMMUTATION COLUMNS, Hf. 
THREE AND ONE-HALF PER CENT. 



Age. 


D. 

■ 


N. 


S, 


M. 


R< 


66 


9 2IO.I2 

8 736." 


112 449.8 


I 103 067. 


5 096.01 


80 243.99 


66 


103 713.7 


990 616.8 


4 933.46 


75 147.98 


67 


8 379.68 


95 433.97 


886 903.1 


4 772 46 


70 214.52 


68 


7 84060 


87 593-37 


791 469.1 


4 613.37 


65 44207 
60 828.70 


69 


7 418.33 


80 175.04 


7^3 875.8 


4 456.24 


60 


7 011.22 


73 163.82 


623 700.7 


4 299.98 


56 372.46 


61 


6 613.71 


66 550.11 


550 536 9 


4 139-57 


52 072.48 


62 


6 224.75 


60 325.36 


483 986.8 


3 074- 27 


47 932.91 


68 


5 843.10 
5 468.41 


54 482.26 


423 661 4 


3 803.11 


43 958.65 


64 


49 013.85 


369 179.2 


3 626.01 


40 155.54 


66 


5 10X.16 


43 912.70 


320 165.3 


3 443-68 


36 529 53 
33 085.84 


66 


4 744-44 


39 168.26 


276 252.6 


3 25947 


67 


4 39982 


34 768.44 


237 084.4 


3 075 29 


29 826.38 


68 


4 066.54 


30 701.90 


202 315.9 


2 890.79 


26 751-09 


69 


3 744.43 


26 957.48 


171 614.0 


2 706.20 


23 860.30 


70 


3 433-33 


23 524 15 


144 656.5 


2 521.72 


21 154.10 


71 


3 132 65 


20 391.50 


121 132.4 


2 337- 14 


18 632.38 


72 


2 839.22 


17 552.28 


100 740.9 


2 149 65 


16 295.23 


78 


a 553-45 


14 998.83 


83 188.62 


1 959.89 


14 145-58 


74 


2 276.94 


12 721.90 


68 189.79 


1 769 73 


12 185.69 


76 


2 on 28 


10 710.62 


55 467-89 


I 58f 07 


10 415.96 


76 


I 758.94 


8 951 676 


44 757.28 


I 39675 


8 834.888 


77 


I 52264 


7 429037 
6 119.368 


35 80560 


I 219.92 


7 438.143 


78 


I 30967 


28 376 56 


I 058.45 


6 218.219 


79 


I 119.79 


4 999-574 


22 257.19 


912.859 


5 159-774 


80 


952 810 


4 046764 


17 257 62 


783-742 


4 246.915 


81 


808.474 


3 238.290 


13 210 86 


671.627 


3 463.172 


82 


684.602 


2 553 688 


9 972.568 


575094 


2 791-545 


88 


574 339 


I 979348 


7 418.880 


487.983 


2 216 451 


84 


474-309 


I 505 039 


5 439-532 


407.375 


I 728.468 


85 


383-664 


I 121.375 


3 934-493 


3^769 


1 321.094 


86 


301 876 


819.499 


2 813.117 


263.955 


988.325 


87 


229.794 


589705 


I 993 618 


202.082 


724.369 


88 


X69.412 


420.292 


I 403.914 


149.471 


522.288 


89 


12Z.417 


298 876 


983.621 


107.204 


3728:7 


90 


85 337 6 


213 538 


684746 


75.230 7 


265.613 


91 


59 774 3 


153-764 


471 208 


52.553 2 


190.382 


92 


42.217 


I II -547 


317-444 


37.017 3 


137.829 


98 


31-326 3 


80.220 


205 898 


27 554 2 


100.812 


84 


24.828 3 


55-392 


125667 


22.115 6 


73.258 


96 


19-533 7 


35.858 


70.285 


17.660 5 


51.142 


96 


14.936 6 


20.922 


34.427 


13.724 


33482 


97 


10.734 8 


10.187 


13.505 


10.027 3 


■ 19758 


88 


6.868 7 


3318 


3318 


6.524 2 


9-730 


99 


3-318 2 


.000 


.000 


3 206 


3.206 



O / i O 1 v> 



lOO 



H*" (Woolhousk) Table. 







Table V. 








COMMUTATION COLUMNS, 


Hr. 








THREE I 


PER CENT. 






Age. 


D, 


N. 


s. 


M, 


R. 


10 


74 409.4 


I 729 035. 


34 56a 827. 


21 881.9 


744 232.8 


11 


72 015.3 


I 657 020. 


32 833 792. 


21 655.0 


722 3SO 9 


12 


69 623.2 


I 587 397. 


31 176 772. 


21 360.5 


700 695.9 


IS 


67 248.0 


I 520 149. 


29 589 375- 


21 013.3 


679 335 4 


14 


64905.2 


I 455 244- 


28 069 236. 


SO 639.1 


658 323.3 


16 


62 609.1 


I 392 634. 


26 613 982. 


30 323.4 


637 693.2 


16 


63 369.9 ( 


I 332 265. 


25 221 348. 


19 807.7 


617 469.8 


17 


58 1984 


I 274 066. 


23 889 083. 


19 394 5 
18 995.1 


597662.1 


18 


56 103 8 


I 217 962. 


23 615 017. 


578 267.5 


19 


540939 


I 163 868. 


21 397 055. 


18 619.3 


559 272.4 


SO 


52 166.8 


I III 702. 


20 233 186. 


18 367.7 


540 653.2 


81 


50 299 


I 061 403. 


19 121 484. 


17 919.4 


522 385.5 


88 


48 478.1 


I 012 925. 


18 060 082. 


17 563.4 


504 466.1 


tB 


46 693 2 


966 231.4 


17 047 157- 


17 190.5 


486902.7 


84 


44933.2 


921 298.2 


16 080 936. 


16 790.6 


469 712.2 


86 


43 195.1 


878 103. 1 


15 159 628. 


16 361.2 


452 921.6 


86 


41 4835 


836 619.6 


14 281 524. 


IS 907.7 


436 560.4 


87 


39 817.0 


796 802 6 


13 444 905. 


15 449-4 


420 6527 


88 


38 2005 


758 602.1 


13 648 102. 


14992.7 


405 203.3 


89 


36 642.3 


721 959.8 


II 889 500. 


14 547-1 


390 210.7 


80 


35 149 9 


686 809.9 


II 167 540. 


14 121.9 


375 6636 


31 


33 721.7 


6 3 0S8.2 


10 480 731. 


13 717.5 


361 541.6 


88 


32 356 3 


620 731.9 


9 827 642. 


13 334 3 
12 970.8 


347 824.1 


S8 


31 050.4 


589 681.6 


9 206 910. 


334 489.8 


84 


29 794-6 


559 887.0 


8 617 229. 


13 619.4 


321 519.0 


36 


28 587.8 


S3I 299.8 


8 057 342. 


12 280.4 


308 899.6 


36 


27 4287 


503 870.5 


7 526 043. 


II 954 


296 619.3 


37 


26 312.9 


477 557-6 


7 022 172. 


II 637.1 


284 06S.3 


38 


25 238.9 


452 318 7 


6 544 615. 


II 329.4 


273 028.2 


39 


24 205.0 


428 113 7 


6 092 296. 


II 0307 


361 698.8 


40 


23 210.0 


404 903.7 


5 664 182. 


10 740.7 


350 668.1 


41 


22 251.3 
21 327.8 


382 652 4 


5 259 279- 


10 458.0 


239 9274 


48 


361 324 6 


4 876 626. 


10 182.6 


239 4695 


43 


204^87 


340 886.0 


4 515 302. 


9 9M 65 


319 386.9 


44 


19 582.4 


321 303.5 


4 174 416. 


9 653.72 


309 372.3 


-46 


18 757-7 


302 545.8 


3 853 112. 


9 399.33 


199 718.5 


46 


17 963.3 


284 582.5 


3 550 566. 


9 151.33 


190 319.2 


47 


17 200.1 


267 382.4 


3 265 984. 


8 911.39 


181 167.9 


48 


16 467.3 


250 915. 1 


2 998 601. 


8 679.45 


172 356.6 


49 


15 763.8 


235 15X.3 


2 747 686. 


8455.55 


163 577.1 


60 


15 087.9 


220 063.4 


2 5" 535. 


8 338.85 


ISS 121.6 


61 


14 436 7 


205 626.7 


2 292 472. 


8 027.13 


146 882.7 


68 


13 806.6 


191 8ao.i 


2 086 845. 


7 817.49 


138 855.6 


6S 


13 195 I 


178 624.9 


I 895 025. 


7 608.11 


131 038.1 


64 


12 600.6 


; 166 024.3 


I 716 400. 


7 397 94 


123 430.0 



H*" (Woolhouse) Table. 



lOl 



Table V.^Cnnt. 

COMMUTATION COLUMNS. 
THREE PER CENT. 



Hf. 



r—. 

Age. 


D. 


N. 


S, 


7 185.24 


R. 

1 


bb 


1 
xa 090.9 


154 003.4 


t 

I 550 376. 


116 032.1 


66 


IX 457 6 


142 545 9 


1 396 372. 


6 972.04 


X08 846.8 


67 


10 911. 7 


131 634.2 


I 253 826. 


6 759.86 


lox 874.8 


68 


10 583.9 
9 871.67 


121 251.0 


1 122 192. 


6 549.18 


95 "4 93 


69 


I" 379.3 


I 000 941. 


6 340.09 


88 565.75 


60 


9 375-21 
8 886.60 


102 004.1 


889 561.8 


6 131.15 


82 225.66 


61 


93 "7 50 


787 557-7 


5 915.60 


76094.51 


6S 


8 404.58 


84 7x2.92 
70 785-35 


694 440.2 


5 692.42 


70 178.91 


68 


7 927.57 


609 727.3 


5 460.20 


64 486.49 


64 


7 455-23 


69 330." 


532 942.0 


5 218.76 


59 026.29 


66 


6 988.31 


62 34X-82 
55 810.65 


463 611.8 


4 968.98 


53 807.53 


66 


6 531.17 


401 270.0 


4 715.39 


48 838. «;5 


67 


6 086.18 


49 724-47 


345 459-4 


4 460.62 


44 123.16 


68 


; 5 652.45 


44 072.02 


295 734.9 


4 204.17 


39 662.54 


69 


5 229.99 


38 842.03 


251 662.9 


3 946.34 


35 458.37 


70 


4 818.75 


34 023.28 


212 8209 


3 687.43 


31 512.04 


71 


4 418.08 


29 605.20 


178 797.6 


3 427 II 


27 824.61 


7« 


4023.68 


25 581.52 


149 192.4 


3 161.39 


24 397 50 


78 


3 636.26 


21 945.26 


123 610.9 


a 891.17 


21 236.11 


74 


3 258.93 


18 687.03 


loi 665.6 


2 619.05 


18 344-94 


76 


2 892.06 


15 794.97 


82 978.57 


2 347.78 
2 odi.44 


15 725 89 


76 


2 541.49 


13 25348 


67 183.61 


13 378.11 


77 


2 210.74 


II 042.74 


53 930.13 


I 824.71 


II 296.67 


78 


I 910.76 


9 131.980 


42 887.40 


I 589 12 


9 471.955 


79 


I 641.67 


7 490 313 


33 755.42 


I 375-69 


7 882.832 


80 


I 403.64 


6 086.671 


26 265.10 


I 185.48 


6 507.145 


81 


I 196.79 


4 889.877 


20 178 43 


1 0x9.51 


5 321.668 


88 


I 018.34 


3 871.533 


15 288.55 


875.920 


4 302.156 


88 


858.476 


3 013.058 


II 417.02 


745-713 


3 426.236 
2 680.523 


84 


712.400 


2 300.658 


8 403964 


624.641 


86 


579051 


X 721.607 


6 103.307 


512.041 


2 055.882 


86 


457.823 
350.190 


I 263.784 


4 381.700 


407.679 


I 543-841 


87 


913-588 


3 117.916 


313.387 


X 136.161 


88 


259-430 


654.158 


2 204.329 


232.820 


822.774 


89 


186.835 


467-323 


I 550.171 


167.781 


589954 


90 


131-954 
92.875 


335370 


I 082.848 


X18.342 


422.173 


91 


242.495 


747.478 


85.106 9 


303.830 


98 


65.913 6 


176.581 


504.984 


58.850 7 


220.723 


98 


49 147 3 


127.434 


328.403 


44.004 1 


161.873 


94 


39.141 9 


88.292 


200.969 


35430 2 


117.869 


96 


30.944 3 


57.347 


112.677 


28.372 7 


82.438 


96 


23.7767 


33571 


55330 


22.106 4 


54.066 


97 


17. 171 


16.400 


21.759 


16.193 2 


31-959 


9S 


11.040 3 


S-359 


5-359 


10.562 7 


15.766 


99 


5.3594 


.000 


.000 


5.203 3 


5203 



SPRAGUE'S SELECT LIFE TABLES. 
INTRODUCTION. 

These tables were deduced by Dr. Thomas Bond Sprague 
from the experience embraced in the investigation of the 
mortality experience of the 20 British offices, on which the 
H- Table is based. 

It accepts the H^^s) Table as an ultimate table, correctly 
representing the experience of the companies after five 
policy years have elapsed; the data really embraced the 
experience after five calendar years, including the year of 
admission, had elapsed — an average of about 4ji policy 
years. 

In like manner the select data embraced calendar years; 
and the author of the table, by an adroit process, gradu- 
ated this into policy years. 

These tables are reproduced by the special permission 
of the Institute of Actuaries. 



I04 



Sprague's Select Life Tables. 



SPRAGUES select LIFE TABLES. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 





![.-.) f. 


Jl.-,1+, 


8 


4 


5 or More. 


16 

16 
17 
18 

1 A 


983452 
9-0428 

976700 

971650 

965015 

956418 
945306 

934548 
924270 

9M390 


980500 
976800 
972500 
967084 

960T90 
951636 
940704 
9301 10 

919975 


976800 
972500 
967200 

960700 

952700 

943500 

932948 
922694 


972500 
967900 


* # • • • • 


983700 
980500 
976800 

972500 
967200 


19 


967900 


20 
21 
22 
28 
24 


9^0700 
952700 
943500 
933800 

923598 


960700 
952700 
943500 
933800 
923800 


900700 
952700 
943500 
933800 
923800 


26 
26 
27 
28 

29 


904880 
895828 
887214 
878918 
870746 


910218 
900808 
891834 
883276 

875014 


912860 

894x68 
885368 
876946 


913698 
904200 
895010 
886094 
877530 


913800 
904900 
895100 

877600 


913800 
904900 
895100 
886200 
877600 


SO 
81 
82 
83 
84 


862820 
854970 
846500 
838098 
829492 


866862 
8C8936 
851076 
842586 

834154 


868784 
860700 
852814 
844970 
836478 


869300 
861990 
853316 
845500 
837/00 


869300 
861300 
853400 
845500 
837700 


869300 
861300 
853400 
845500 
837700 


86 

S6 
87 
88 
89 


890928 
812338 
803767 

795196 
786608 


325510 
816906 
808273 
799656 
791034 


828026 

819352 
810710 
809030 
793362 


829222 
820756 
812050 
803368 
794634 


899800 
821338 
812768 
803960 

795x94 


899800 
821500 
813000 
804300 
795400 


40 
41 
42 
48 
44 


777995 
769147 
760067 

7507aS 
740943 


782390 

773717 
764802 

755650 
746230 


784677 
775962 
767206 
758198 
748942 


785900 

r/7134 
768325 

759458 

750324 


786388 
777600 
768778 
759878 
750867 


786500 
777600 
768800 
759900 
750900 


46 
46 
47 
48 

49 


73069a 
720100 

709190 
698088 
686620 


736363 
726015 

715320 

704392 

693058 


739403 
•/29402 

718900 

708042 

696823 


740925 
731290 

721033 
710325 

6oQ290 


741538 

73x895 
72x906 

711423 
700413 


741700 
732x00 
792100 
711700 


60 
61 
62 
68 
64 


674923 
662891 

6505 I I 

^7720 

624683 


681445 
669590 
657386 
644817 
631 82 I 

618563 
6at956 
590766 
576027 
560566 


685377 

673524 
661401 

648902 

636009 


687728 
675970 

663773 
651267 

638341 

624979 
6x1114 

596901 
582258 

566957 


688992 
677166 
665048 

652457 
639514 

6961 10 
612234 
597809 
589958 
567588 


689400 
677600 
665400 
659900 
639900 

626500 
619600 
508900 
583200 
567700 


66 
66 
67 
68 
69 


611313 

597374 
582899 

567710 
551749 


029000 
609016 
594990 
580353 
565140 



Sprague's Select Life Tables. 



105 



SPRAGUE'S select LIFE TABLES~C*»/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



60 
61 



64 



66 
67 
66 

69 
70 

71 
7» 
76 
74 
76 
76 



•> 



l(.-«l+i I U,-»)-^a I U.-4I+4 



549x81 
532422 
514823 
496364 
477358 

458346 
4390CO 
418000 
396700 

375ia> 
353300 

33 I 100 
308400 
285100 
261300 
237200 
213600 



.1 



551043 
534338 
516773 
498308 

478943 

458983 i 
439000 

418000 i 

396700 

375100 

353300 

331100 
308400 
285100 
261300 
237200 
213600 



551490 
534700 
517100 
498700 
479500 

459500 
439000 
418000 
396700 
375100 
353300 

331100 
308400 
285100 
261 3C0 
237200 
213600 



5 or More 
1. 



551600 
534700 
517100 
498700 
479500 

459500 
439000 
418000 
396700 
375100 
353300 

33IIOO 
308400 
285100 
261300 
237200 
913600 



io6 



Sl'KAliLE'S SkLECT LiFE TaBLES. 



SPRAGUES SELECT LIFE TABLES. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 





1 


2 


i 

8 


1 4 


5 or More. 


<1L.] 


<i[.-,J + , 


, dl.-,l + . 


1 


1 <»|.-.l + 4 


d. 


16 


295a 


• • ■ ■ 


1 

• • • • 


1 
1 

• > • • 




3200 


16 


3628 


3700 


.... 


) • • ■ • 
1 


• • • • 


3700 


17 


4200 


4300 


4300 


• • • ■ 


1 .... 


4300 


18 


4566 


5300 


5300 


5300 


• • • • 


5300 


19 


4825 


6384 


6500 


6500 


6500 


6500 


SO 


4782 


7490 


1 8000 


8000 


8000 


8000 


tl 


4602 


8136 


9000 


9200 


9200 


9200 


S2 


4438 


7756 


9700 


9700 


9700 


9700 


S8 


4295 


7416 


9350 


lOOOO 


xoooo 


lOOOO 


S4 


4172 


7115 


8996 


9798 


lOOOO 


lOOOO 


n 


4072 


6858 


; 8660 


9498 


9600 


9600 


S6 


3994 


6640 


- 8350 


9100 


9100 


9100 
8900 


«7 


3938 


6466 


8074 


8810 


8900 


S8 


PIJ 


6330 


7838 


8494 


8600 


8600 


M 


6230 


7646 


8230 


8300 


8300 


80 


3884 


6162 


7494 


8000 


8000 


8000 


81 


3894 


6122 


7384 


7890 


7900 


7900 


88 


39H 


6106 


7314 


7816 


7900 


7000 

7800 


88 


3944 


6108 


7270 


7800 


7800 


84 


3982 


6128 


7256 


7900 


7900 


7900 


86 


4022 


6158 


7270 


7884 


8300 


8300 


86 


4065 


6196 


7302 


7988 


8338 


8500 


87 


4111 


6243 


7342 


80QO 


8468 


8700 


88 


4162 


6294 


7396 


8174 


8560 


8900 


89 


4218 


6357 


7462 


8246 


8694 


8900 


40 


4278 


6428 


7543 


8300 


8788 


8900 

8800 


41 


4345 


6511 


7637 


8356 


8800 


48 


4417 


6604 


7748 


8447 


8878 


8900 


48 


4495 


6708 


7874 


8591 


8978 


9000 


44 


4580 


6827 


8017 


8786 


9167 


9200 


46 


4677 


6961 


?'!3 


9030 


9438 


96CX} 


46 


4780 


7109 


8369 


9312 


9795 


ICOOO 


47 


4898 


7278 


8581 


9610 


10208 


10400 


48 


5030 


7469 


8822 


9912 


10623 


10900 


49 


5175 


7681 


9095 


10228 


11013 


1 1400 


'60 


5333 


7921 


9407 


10562 


"392 


II800 


61 


5505 


8189 


975 1 


10922 


11766 


12200 


68 


5694 


8484 


10134 


I13I6 


12 148 


12500 


68 


5899 


8808 


10561 


"753 


12557 


13000 


64 


6120 


9161 


11030 


12231 


13014 


13400 


66 


6357 


9547 


1 1546 


12745 


13510 


13900 


66 


6608 


9966 


121 15 


»3305 


14034 


X4400 


67 


6872 


10413 


12732 


13943 


14609 


15000 


68 


7144 


10887 


^3396 


14670 


15258 ' 


15500 


69 

1 


7423 


11385 


14097 


15467 

1 


15988 . 


lOlOO 



Spracue's Select Life Tables. 



107 



SPRAGUES SELECT LIFE TABLES-C<?«/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



60 
61 
6S 
63 

64 

6« 
66 
87 
68 
68 
70 

71 
78 
78 
74 
78 
78 







7704 

7983 
8263 

8543 

8825 

9066 
9287 
9481 

9647 
9766 

9827 

98^5 
9720 

9531 
9273 

8934 



1 



11904 
12436 
12977 
»3528 
14095 

14668 

15185 
15681 
16145 
16564 
16913 

17171 

17304 
17289 

17113 

16802 

16338- 



d[.-,] + a 



14843 
15649 

16515 
17421 

18375 

19346 
21000 
21300 
21600 
21800 
22200 



3 

d[«-»] + 8 



16343 
17238 
18073 
18808 
19443 

19983 
21000 

21300 

21600 

21S00 

22200 



4 I 5 or More, 

<l[.-4l+4 d. 



22700 


22700 


23300 


23300 


23800 


23800 


24100 


24100 


23600 


23600 


23100 


23100 



16790 

I76CO 
18400 
19300 

30000 

20500 
21000 
21300 
21600 
21800 
22200 

22700 
23300 
23S0O 
24100 
23600 
23 ICO 



16900 
17600 
18400 
19200 

3O0OO 

20500 
21000 
21300 
31600 
21800 
23200 

22700 
23300 
23800 
24100 
23600 
23100 



io8 



Sprague's Select Life Tables. 



SPRAGUE'S select LIFE TABLES. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



16 
16 
17 
18 
19 

SO 
SI 

ss 
ss 

S4 

S6 

S6 
S7 
S8 
S9 

SO 
SI 

ss 
ss 

S4 

S6 
S6 
S7 
SS 

S9 

40 
41 
4S 
4S 
44 

46 
46 
47 
48 

49 

60 
61 
69 
68 
64 

66 
66 
67 
68 

69 




997CX30 
996300 
99S70O 

995300 
995000 

995000 

995131 
995250 

995353 
995437 

995500 

995541 
995561 
995560 

995539 

995500 
995446 
995376 
99529a 

995199 

995100 

994995 
994884 

994765 
994638 

994500 

994351 
994189 

994012 
993817 

993600 

993359 
99309a 

992795 
992466 

992100 

991695 
991246 

990750 
990203 

989600 
988938 
98821 I 
987416 
986547 



1 
p[.-iJ + i 



996226 

995598 
994550 
993400 

993200 

991450 

991754 
992028 

992266 

992467 
992629 
992751 

992834 
993880 

992892 
992872 
992826 
993753 

992654 

992540 
992415 
992277 
993128 
991964 

991784 

991585 

991365 
991132 

990851 

990548 
990208 
989826 
989396 
988915 

988375 
987771 

987096 

986341 

985500 

984565 
983526 

982374 

981099 

979689 



p[.-«l+i 



8 

pU-il + i 



995598 
994550 
993280 

991673 

990343 
989719 

989980 

990251 

9905IS 
990758 

99097X 
991 147 

99I38I 

991372 
99I4I9 

991425 
991397 
991326 

99I2I9 

991089 

990943 
990778 

990594 

990388 

990159 
989902 

989615 

989294 

988933 

988526 
988064 

987541 
986947 

986276 

985523 
984677 

983726 
982657 

981455 

980108 
978600 

976918 
975056 



994550 
993280 

991673 

990343 
989719 

989291 

989389 

989604 
989936 

990158 

990415 
990633 

990797 
990840 

990841 

990775 

990569 

990493 
990267 

990036 

989823 

989624 
989440 

989348 
989006 

988687 
988392 

987814 
987266 
986673 

986045 
985372 

98.(643 

983843 

983953 

981953 
980839 

979610 

978337 

976637 

974806 
973730 



p[«-«]+« 



.993280 

991673 

990343 
989719 

989391 
989175 

989494 
989936 

990057 
990296 

990542 

990797 
990828 

990743 
990775 
990569 

989998 

989850 
989579 
989355 
989067 

988834 
988683 
988449 
988184 

987789 

987370 
986615 
985860 
985068 
984276 

983465 

983636 
981736 

980754 
979649 

978421 
977074 

975564 

973828 
971833 



5 or More. 
Pi 



996747 
996336 

9955v8 
994550 
993280 

991673 
99P343 
989719 
989391 

989175 

989494 
989936 

990057 
990296 

990542 

990797 
990828 

990743 
990775 
990569 

989998 
989653 
99 
35 
98881X 

988684 
988683 

988424 
988156 

987748 

987057 
986341 

985598 
984685 

983733 

983884 

981995 
981314 

980089 
979059 

977813 

976494 

974925 

973423 
971640 




Sprague's Select Life Tables. 



109 



SPRAGUE'S SELECT LIFE TABLES— Ciwi/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



60 
61 
6S 
6S 
64 

66 
66 
67 
66 

69 
70 

71 
76 
78 
74 
76 
76 





p[>1 



9856c» 

984567 
983446 
982230 
980917 

979500 

977975 
976338 
974582 
972705 
970700 

968563 
966290 

963874 

961313 
958600 



p[«— i] + i 



978131 

976413 
974522 

972443 
970164 

967670 

964945 
961973 

958736 
955218 

951399 

947260 
942780 
937938 

93271 I 
927076 
921000 



2 

pU—%] ♦i 



972972 
970607 

967922 

964901 
961508 

957794 
952164 

949043 
945551 
941882 

937164 

931441 
924449 

916520 

907769 

900^06 

891854 



8 

p[«-»l + » 



970342 

967739 
965025 
962258 

959404 

956463 
952164 

949043 

945551 
941882 

937164 

931441 
924449 

916520 

907769 

900506 

891854 



p[i-«] + « 



969553 
967084 

964417 

961500 

958290 

955386 
952164 

949043 
945551 
941882 

937164 

931441 
924449 

916520 

907769 

900506 

891854 



6 or More. 
P» 



96936a 
967084 

964417 
961500 

958290 

955386 
952164 

949043 

945551 
941882 

937164 

931441 

924449 
9x6520 

907769 

900506 

891854 



no 



Sprague's Selfxt Life Tables. 



SPRAGUES SELECT LIFE TABLES. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 





1 

q[.-i)-»-i 


2 


3 

q[i-i]+i 


4 

qU-4)+4 


5 or More. 

q« 




! 


•003774 
.004402 
.005450 
.006600 


.004402 

.00545c 

.006720 


•005450 
.006720 






1ft 
16 
17 
18 


.003000 
.003700 
.004300 
.004700 
.005000 • 


-003253 
.003774 
.OG4403 

.005450 
.006720 


19 


.000730 


80 
81 
88 
88 
84 


.005000 
.004869 
.004750 
.004647 

.004563 


.007800 
.008550 
.008246 
.007972 
.007734 


.008327 

009657 

.010281 
.010020 

.0:9749 


.008327 
009657 
.010281 
.010709 
.010611 


.008327 
.009657 
.010381 
.010709 
.010825 


.008327 
009657 
.010281 
.010709 
.010825 


86 
86 
87 
86 
88 


.004500 
004459 
•00+439 
.004440 
.004461 


•007533 
.007371 
.007249 
.007166 
.007120 


.009485 

.009242 
.009029 
.008853 
.008719 


.010396 
.010064 
.009842 
.009585 
-009377 


.010506 
.010064 
.009943 
.0097114 
•009458 


.010506 
.010064 

.009943 
.009704 

.009458 


to 

81 
88 
88 
84 


.004500 
.004554 
.004624 
.004708 
.004801 


.007108 
.007128 

.007174 
.007248 

■007346 


.008628 
.008581 

.008575 

.008603 
.008674 


009203 1 
.009160 
.009159 
.009225 

•009431 


.009203 
.009172 
.009257 
.009225 
009431 


.009203 
.009172 
.009257 
.009225 

•00943 « 


86 
S6 
87 
88 
89 


.004900 
.0050C5 
.005116 
•005235 
005362 


.007460 

.0075S5 
.007723 

.007872 

.008036 


.008781 
.008911 

.009057 

.009222 
.009406 


«J9S07 

.009733 
.oo99{}4 

.010177 

.010376 


.010002 
.010150 
.010421 
.010645 
•010933 


.010002 
•010347 
.010701 
.011065 
.011189 


40 
41 
48 
48 
44 


.005500 
•005649 

.ooc8ii 
.005988 
.006183 


.008216 
.008415 
.008635 
.C08878 
009149 


.009612 
.009841 
.010098 
.010385 
.010706 


.010560 
.010752 
.010994 
.011313 
.011708 


.011176 
.011317 

.011551 
.011816 

.012211 


.011316 
.011317 
.011576 
.011844 
.012352 


46 
46 
47 
48 
49 


.006400 
.006641 
.006908 
.007205 

•007534 


.009452 
.00979a 
.010174 
.010604 
.011085 


.011067 

-011474 

.011936 

.012459 
.013053 


.012186 
.012734 
.013328 

•013955 
.014628 


.0127^0 

.013385 
.014140 
.014932 
.015724 


.012943 
.013659 
.014402 

015315 
.016267 


60 
61 
68 
68 


.007900 
.008305 

.008754 
.009250 


.011625 
.012229 
.012904 
.013659 
.014500 


.013724 
.014477 

.015323 

.016274 

.017343 


.015358 
.016157 
.017048 
.018047 
.019161 


016535 

.017374 
.01S264 
.019246 
.020351 


.017116 

.018005 
.0x8786 
.019911 


64 


•009797 




66 
66 
67 
68 
69 


.010400 
.011062 
.011789 
.012584 
•013453 


•015435 

.oid474 
.017626 
.018901 
.020311 


•018545 

.019892 
.021400 
.023082 
.084944 


.030390 

•021773 
.023363 

.025104 

.027280 


.021579 
.022926 
024436 
.026172 
.028168 


.023187 
.023506 
025075 
.026577 
.028360 



Sprague's Select Life Tables. 



Ill 



SPRAGUES SELECT LIFE TABLES— Gwi/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



•1 



•4 

•6 
M 

67 
M 
W 

70 

71 
78 
7S 
74 
7ft 
71 







.014400 

•015433 
.016554 

.017770 

.019083 

.090500 
.023025 
.033662 
.025418 
.027395 
.039300 

.031437 
.033710 
.036126 
.038687 
.04x400 



1 
q[i-j] + i 



.021869 
•023587 
.025478 
•027557 
.029836 

.033330 

•035055 
.038037 

.041364 

.04478a 

.048601 

.053740 
.057330 
.063063 
.067389 
.073924 
.078991 



q[i-«]+a 



.037038 

.029393 

.032078 

•035099 
.038492 

.043306 

.047836 

•050957 
•054449 

.058118 
.063836 

.068559 

•075551 
.083480 

.092331 

.099494 

.X08I46 



q[t-8]+t 



039658 
032261 

034975 
037743 

040596 

043537 
047836 

050957 

054449 
058118 

063836 

068559 

075551 
0F3480 

092231 

099494 
108146 



4 I ."^ or More. 

q[«-4]+4 ': q« 



.030447 
.033916 

•035583 
.038500 

.041710 

.044614 
047836 

•050957 
.054449 
.058118 
.062836 

•068559 

•075551 
.083480 

.093231 

.099494 

.108146 



.030638 
.033916 

•035583 
.038500 

.041710 

.044614 
.047836 

.050957 

•P54449 
.058118 

.068836 

.068559 

•075551 
.083480 

.093331 

.099494 
.X08146 



112 



Sprague's Select Life Tables. 



SPRAGUE'S SELECT LIFE TABLES, FOUR PER CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 








1 


Age. 


DUl 


D[.-il + . 


16 


546075 
523458 




16 


523497 


17 


S01411 


S01463 


18 


479633 


480055 
459018 


19 


458037 


20 


436496 


438218 


21 


414832 


417609 


22 


394336 


396935 


28 


375000 


377369 


24 


356722 


358902 


26 


339435 


341437 


26 


323115 


32491 I 


27 


307700 


309302 


28 


293098 


294552 


29 


279204 


280574 


80 


266022 


267269 


81 


253464 


254639 


82 


241301 


242605 


88 


229717 


230947 


84 


218613 


2x9842 


86 


208035 


209196 


86 


197940 


199054 


87 


188320 


i«9375 


88 


179145 


I 801 50 


89 


170395 


171354 


40 


162047 


162963 


41 


154043 


154958 


42 


146369 


I 4728 I 


48 


I 39010 


130922 


44 


131922 


132863 


46 


125093 


126064 


46 


1x8538 


119512 


47 


I 12252 


113222 


48 


106245 


107189 


49 


100480 


101423 


60 


94969.8 


95887.8 


61 


89689.2 


905956 


62 


84629.2 


85523 4 


68 


79774.0 


80661.8 


64 


75137-7 


75996.2 


66 


70701.5 


7:540.0 


66 


66432.1 


672753 


67 


623293 


63:70.4 


68 


583703 


59225 6 


69 


54547-3 


554190 



2 



S01463 
480053 
459074 

438451 
418077 

398115 
378521 

359963 

342428 

325832 
310111 
295250 
281 194 

267862 
255162 
243101 
231601 
220455 

209834 
199650 

189947 
180685 
171858 

163440 

155408 

147744 
140394 

133346 

126584 
120069 

113790 
107760 

101974 

96440.8 
91 128.0 
86045.8 
8x172 8 
76500.2 

72013.8 
677269 
63622 3 

59670.3 
558714 



8 

DU-,] + , 



480053 
459074 

438451 

418077 

398115 
378867 

360316 

342743 
326135 
310404 

295492 
281381 

268021 
255338 
243244 
231747 
220778 

210137 
199992 
190260 
18C987 

172134 

163694 

155643 
147960 

140627 
133593 

126845 
120369 
114127 
108108 
102325 

96771.8 

91459 o 
86354.8 
81468.8 
76780.7 

72282 2 
67960.1 
63826.7 
59866.1 
56051.0 



D[. ,] + 4 



459074 

438451 
418077 

398115 
378867 

360394 

342782 

326135 
310436 
295528 

281404 
268021 

255341 

243268 

231747 

230778 

210284 
2C0134 

190429 

18II20 

172255 

163796 
155736 

148048 
140705 
133689 

126950 
120480 
114266 
108275 

102499 
96949.8 

91620.8 
86520.4 
81617.8 
76921.7 

72413.0 
68085.0 
63923.6 

599381 
561134 



5 or More. 
D. 



546214 
523497 
501463 
480053 

459074 

438451 
418077 

3981 15 
378867 

360394 

342782 

326135 
310436 
295528 
281404 

268021 

255341 
243268 

231747 

220778 

210284 
200174 

19^483 
181197 

172300 

163819 

155736 
14805a 

140709 
133695 

126978 
1205(4 
114296 
108317 
102556 

97007.3 
916797 
86566.4 

81673.2 
76968.3 

72458.2 
68125.6 
639656 

599631 
56124.4 



Sprague's Select Life Tables. 



113 



SPRAGUE'S SELECT LIFE TABLES. FOUR PER CEST.-Coftf 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



61 



•4 

•6 
M 

«7 
68 
66 

70 

71 
78 
78 
74 
76 
76 




D(.J 



508535 
472854 

438693 
406475 
37581.2 

34554 3 
31678.9 

28947.7 

6 




238954 
215390 

19279.3 
17118.2 

15063. 1 

131569 
11389-2 



!>[»-, ] + , 



517438 
48193.6 
44765.1 

41483-7 
38389.5 

35446 3 
325442 
20789.6 
27175 7 
24702.5 
22349.2 

20103.8 

179550 

159049 
13960.5 

12161.4 

10497 8 



2 



52205.4 
48665.6 
452470 
4IQ46.8 
387890 

35811-7 
32981.0 

301955 
275547 
25052.3 

22688.7 

20445.2 
18311 I 
16276.6 

14344- 1 
12520 3 

1084 1.0 



3 


4 


D[x-,J + , 


D[.-4l+4 


52382 4 
48840 7 


524250 

48873 8 


45418 5 


45447.2 


421x1. 1 
38917.8 


42144-3 
389632 


35861.5 
32981.0 


359020 
32981.0 


301955 


301955 


275547 


27554 7 


25052.3 
22688.7 


25052.3 
22688.7 



204452 

183II.I 
16276 6 

14344 I 

X2>20 3 
1084 1. 



20445.2 
183II.I 
16276.6 

J4344-I 
12520.3 

1084 I o 



5 or More. 



48873 
45447.2 

421443 
389632 



35902.0 
32981.0 

30195.5 

275547 

25052.3 
22688.7 

204452 
18311.I 
16276.6 

14344- 1 
12520.3 

10841.0 



114 



Sprague's Select Life Tables. 



SPRAGUES select LIFE TABLES. FOUR PER CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



K^] 



1 



N[« i]+i 



16 
16 
17 
18 
19 

20 
21 
22 
2S 

24 

26 
26 
27 
28 

29 

SO 
SI 
S2 
S8 
S4 

S6 
S6 
87 
88 
89 

40 
41 
42 
48 
44 

46 
46 
47 
48 

49 

60 
61 
62 
68 
64 

66 
66 
67 
68 

69 



10847378 
1030x264 

9777754 
9275867 
8795020 

8334793 
7893915 
7474940 
7076850 
6698354 

6338380 

I 5996075 
5670473 
5360537 
5065275 

4784158 
4516320 
4260388 
4016745 

3784573 
3563712 

; 3353544 
, 3153636 

2963457 
2782548 

, 2610487 
2446705 
2290893 
2142727 
2001775 

1867764 
1740550 
I 619883 

1505597 
1397304 

1294869 

I 197988 

' 1106442 

10x9986 

9385241 
. 861808.9 

789543 8 
' 721603.7 

I 657756 5 
597849 » 




4 ' 6 or More. 



10301303 
9777806 

9276343 
8796234 

8336983 
7898297 

7470083 

7080604 

6701859 

634x632 

5998945 
5672960 

5362773 
5067439 

4786071 
4518136 
4262856 
4019087 
3787028 

3565960 
3355677 

3J55604 
2965316 

2784312 

2612153 

2448440 
2292662 

2144524 
2003717 

1869853 
I742671 
1622012 

1 50763 1 
1399352 

1296824 
X 199899 
1 108299 
I02I8I3 
9402II.5 

863386.4 
791107.4 

723x11.7 

6592744 
599386.2 



9777806 

9276343 9276343 

' 8796290 8796290 

I 8337216 8337216 

7898765 7898765 

7480688 7480688 

7082148 7082573 

6703235 6703627 

I 

' 6342957 6343272 

■ 6000195 60C0529 

, 5674034 5674363 

I 5363658 5363923 

5068221 5068408 

I 

I 4786865 4787027 

4518802 4519003 

4263497 4263640 

I 4C20251 4020396 

3788140 3788650 

3567186 3567685 

3356764 3357352 

3156623 3I57II4 

i 2966229 2966676 

2785166 2785544 

I 

; 2612938 2613308 

2449190 2449518 
2293482 , 2293782 

1 2145381 I 21457^8 

2004602 2004987 

! 

! 1870854 1871256 

1743789 J 744270 

1623159 1623720 

1508790 1509369 
1400442 , 1401030 

1297929 1298468 

1200936 1201488 

1 109303 1 109808 

1022775 1023258 

94II5C.7 941602.6 

I 86421 S.3 ' 864650.5 

: 791846.4 792201 5 

I 723832 I 724 "9 5 

1 659941.^ 6602098 

600048.8 , 600271.0 



8796990 
8337216 

7898765 

7480688 
7082573 
6703706 

63433" 

6000529 

5674394 
5363959 
5068431 

4787027 
4519006 
4263665 

4020396 

3788650 

3567872 
3357548 
3157360 
2966854 
2785689 

i 

I 2613410 

I 2449614 

2293875 
214582a 

200511 I 

I87I394 
17444" 

1623901 

1500593 

140I26I 

1298705 

I20I696 
1110029 

1023453 
941788.8 

864821.9 

792368.3 
724241.4 

660292 8 
600343.7 



10847517 

10301703 

9777806 

9276343 
8796290 

8337216 
7898765 
7480688 

7082573 
6703706 

63433" 
6000529 

5674394 

5363959 
5068431 

4787027 
4519006 
4263665 
4020396 
3788650 

3567872 

3357588 

3157414 
2966931 

2785734 

2613434 
2449614 
2293878 

2145827 
2005117 

1871422 

1744444 
16239^1 

1509635 
1401318 

1298762 
1201755 
I I 10075 
X033509 
^1835.3 

864867.1 
7924089 
7242833 
6603178 

600354.7 



Sprague's Select Life Tables. 



115 



SPRAGUE'S SELECT LIFE TABLES, FOUR PER CEST.—Cont. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Afte. 



60 
61 
62 
6S 
64 

66 
66 
67 
68 
69 
70 

71 
72 
7S 
/4 
76 
76 



»!] 



541734 8 
489281.4 

4404679 

3953»3 I 

353491-9 

314581 8 

2787563 
245856 6 

215744.0 

188236.8 

163189.8 

140470.2 
I 19982 4 
101638 8 
85413.22 
71140.96 



1 



N[» i]^-i 



5433"! 8 
490881.3 
4419960 
396598.6 
354665.6 

3159107 
28x527 5 
247077.4 
216908.9 
189383.4 
164341.4 

T41650 8 
121190 9 
102864 2 

8657571 
722^6.32 

59751.76 






5-139672 
49i5«;8.o 

442687.7 

397230.9 

355114-9 

316276. 1 
280464 4 

247483 3 
217287 8 

189733 2 
164660.9 

141992.2 
121547.0 

103235 9 
86959 28 

72615.21 

60094.92 



3 
.- al + B 



54^1774 
491 761. 8 
442892.4 
397440 7 
355284.1 

316325.9 
280464.4 

2474833 
217287.8 

189733 2 

164080 9 

141992 2 
121547.0 

103235 9 
869^9.28 
72615 21 
60094 92 



H[.-4]^4 



544220 O 
491795 o 

442921 I 

397473-9 
355329^ 

316366 3 
280464.4 
247483.3 
217287 8 
189733.2 
164680 9 

141992.2 
121547.0 
103235 9 
86959.28 
72615.21 
60094.92 



5 or More. 



544230.3 

49»7^5 o 
442921. 1 

397473 9 
355329 6 

316366 3 
280464 4 

2474833 
217287.8 

189733 2 

164680 9 

141992.2 
1215470 

103235 9 
86959.^8 
72615 21 
60094 92 



ii6 



Sprague's Select Life Tables. 



FOUR PER CENT. 
YEARS elapsed SINCE DATE OF INSURANCE. 



Age. 



16 
If 

17 
18 
19 

to 

fl 
SS 
fS 

u 

26 
S6 
17 
ft 
29 

SO 
SI 
SS 
SS 
S4 

S6 
S6 
S7 
SS 
S9 

40 
41 
4S 
4S 
44 

46 

46 
47 
4S 

40 

60 
61 
6S 
6S 
64 

66 
66 

67 
66 
69 





Cl.J 



1 



2 

CI.-al+, CU-,1+, , C[»-4l+« 



1575-7 
18629 

2073.6 

3167.4 

2202.1 

2098 2 
1941.8 
18006 
1675.6 
15650 

1468.7 

1385a 

13132 
125 1 8 

"973 
1151.4 

IIIO.O 

1072.8 

10395 
1009.1 

980.0 

9524 
926.2 

901.6 
878.5 

?56 8 
836.7 

817.93 
800.31 

784.07 

76987 
756.6J 

745.47 
736.11 
728.15 

721.57 
716.18 

712.30 

709.50 
707.82 

70693 
706.62 
706.59 
706.25 

7P5 6S 



18995 
2122 6 

25»5 6 
2913.8 

3286.9 
34326 
31468 
2893.1 
2668.9 

24736 
2302.8 
2156.3 
2029 7 
1920 8 



826.4 

745- 1 
6736 

6097 
553-0 

500.4 

4517 
406.5 

3634 
3241 

287.4 

2539 
222.8 

19439 
168.76 

145.86 
125.19 
107.68 

09304 
080.84 

071.66 

065.37 
061.29 

05947 
05947 

061.71 
065.64 
070.67 
076.36 
082 22 



3122.6 
25156 
2966.5 



3510.7 


3882.0 


3882.0 


3935 5 


39355 


36476 


39012 


3374-5 


3675-4 


31235 


3425-8 


28959 


3t56.o 


26924 


29379 


2513-3 


27236 


2357-4 


25375 



2221.6 
2104 9 
2004 7 
1916.0 
1838.7 

17715 
1710.8 

1654. 1 

1602.2 

1554-3 

1510.7 
14707 

14347 
1401.9 

1372.56 

1347.02 
1324.64 

130594 
1291.04 

1279.81 

1272.80 
1268.50 
1267.71 
1270.30 

127571 

1283.94 

ia95-48 

130904 

132441 
1340.12 



25156 
2966.5 



2371-7 
2249.1 
2142 3 
2055-7 

3002.0 
I92I.O 

1871 6 

18225 
1770.7 

1717.6 

1662.3 
1609 I 
1564. 1 
15296 
1504-1 

1486.53 
1473 91 

1462 56 

145 ».49 
143923 

1429.07 
142095 

1415-47 
1413.69 

141459 

1417-37 
1422.63 

143360 
145028 

1470.35 



2966.S 

3510.7 
3882.0 

3935-5 
3901.2 

3751-2 

3462.6 
31560 
29679 
27576 
25590 

23717 
2252.0 

21653 
20557 
2002.0 

2022.5 

19535 
1907.8 
1854.2 
1810.9 

1760. 1 
1694.7 

16439 
15985 
1569-4 

1553-6 

155045 

155359 

1554-55 

1549.62 

154136 

1530.75 

1519-67 
1510.30 

1505.16 

1502.41 
1500.69 

1501 98 
1508.48 

1519-79 



5 or More. 
C. 



17085 
1899.5 

2122.6 

25156 
2966.5 

3510.7 
3S82.O 

39355 
3901 2 

37512 

3462 6 
31560 
2967.9 
27576 
25590 

2371 7 
2252.0 

2105 3 

20557 
2002.0 

2022.5 

1991 5 
1960.0 

1927-9 
1853.8 

1782.5 

16947 
1648.0 

1602.4 

15750 

1580.3 
1582 8 

1582.83 

1595-12 
1604 12 

159655 
1587 18 
X56366 
156366 
154978 

154578 

153979 
154226 

153237 
1530.47 



Spragle's Select Life Tables. 



117 



FOUR PER CEN I.— CVii^. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Ajce. 





1 


2 


8 


4 


5 or More. 


CUJ 


CU-,1 + , 


cu-,l+, 
1356.66 


C[.-,]+, 
1493 87 


CU-41+4 


c. 


•0 


704.20 


1088 11 


153473 


1544.73 


•1 


701.61 


IC9302 


1375 41 


I5»4 97 


1546.84 


1540 84 


es 


698.29 


1096.65 


139570 


152736 


1554 95 


155495 


6S 


69459 


1099.26 


141558 


152835 


1560.15 


1560 15 


M 


689.52 


1101.28 


143569 


I5»9 12 


156265 


156265 


•ft 


681 11 


iioi 97 


145342 


1501.38 


1540.12 


1540 T2 


M 


670.86 


1096.94 


1517.00 


151700 


15^7.00 


1517.00 


«7 


658.56 


1089 18 
1078 31 


147949 


1479 49 


1479 49 


1479.49 


68 


644.29 


1442.62 


1142-62 


1442. h2 


1442 62 


88 


62717 


1063 70 


139998 


1399.98 


139998 


13^9.98 


70 


60680 


J044 37 


1370-84 


1370.84 


1370.84 


1370.84 


71 


582 76 


1019.51 


134780 


134780 


1347^0 


1347.80 


7f 


554 93 


987 Co 


1330.22 


1330.22 


133022 


133022 


78 


52320 


949. 10 


1306.50 


1306.50 


130650 


130650 


74 


489.41 


903.28 


1272 09 


1272.09 


IW72 09 


127209 


76 


453 43 


85276 


1107:8 


119778 


1197.78 


1197.78 


76 




797-32 


1127 ji 


"27.31 


1127.31 


1127.31 



ii8 



SrRA(;LK's Sklkct Life Tables. 



FOUR PER CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Arc. 


' 


1 
M(.-il + . 


2 


M(.-,] + , 


MU-4l*4 


5 or More. 


16 
If 
17 
IS 
19 


; 128869 
1 127257 

, I25J4S 
1 122870 

119767 


127293 

125394 
123271 

120703 


125394 
123271 

J20755 


1 

I 23271 
120755 


120755 


129002 
127293 

125394 
123271 
120755 


20 
21 
22 
2S 

24 


1 15927 1 
1 1 1220 ! 
106840 1 
I02814 

99094.0 

1 


117565 
Ii3»29 
109278 
105039 
101138 


I 17789 
114278 

110396 

106131 

102146 


117789 
I 14278 
110396 
I 06461 
102484 


1 17789 
I 14278 
110396 
106461 
J02559 


117780 
114278 
110396 
106461 
102599 


26 
26 
27 
28 

29 


95651 5 

9^497 3 

89605.3 
80924.6 

84386.9 


975290 
94182.8 
91112 I 
88292.1 
856728 


984691 

953554 
918800 

889558 
86262.4 


98771.4 

95345-6 

92159 5 
89187.6 

86442.5 


98808.2 
95345-6 
Q3189.6 
89221.6 
86464.0 


98808.2 

95345.6 
921896 
89221.6 
86464.0 


to 

SI 
S2 
SS 

S4 


82017.2 

. 79759-9 
774400 

75227.8 

73053-4 

1 


831896 
808658 
78649.9 
76367.2 
74188.3 


83752 
81363.2 
79120.7 
76976.3 
74757 5 


83<;o5.o 
81530.4 

79258.3 
77116.0 

75060.3 


839050 

815333 

79«8i.3 
77116.0 

75060.3 


839050 

81533 3 
79281.3 

77116.0 

75060.3 


S6 
S6 

S7 

ss 

S9 


709701 
63959.0 
67026.4 
65166.9 

633743 


720443 
69990.1 
680066 
66100.2 

642653 


72635.3 
705439 
68538.4 
66600.1 
64736.8 


72918.8 
70863.8 
68833.1 
66884.3 
649979 


730583 
70997.8 
68992.2 
670106 
65113.6 


73058.3 

71035-9 

690443 
67084.4 

651564 


40 
41 
42 
4S 
44 


61644.5 

599389 
1 58258.9 
' 56597.7 

549307 


62495.8 
60787.7 
59102.2 

57440.9 
557974 


62941.2 

61208.4 

, 59533-8 

' 57879 4 

1 56246.5 


63182.5 

614305 
59737 7 
580991 

564775 


63280.3 
61520.2 

59821.4 
581736 
56569.5 


63302.7 
6x520.2 

59825.5 
5^1775 
56575 I 


46 
46 
47 
4S 
49 


53256.0 

5»594-3 
, 49949-3 
! 48337-9 
' 46737.9 


54146.6 
52480.1 

50837.7 
49203.9 

47601.8 


54628.6 
53000.8 
51361.0 
49730.0 
• 48110.8 


54874-0 
53381 6 
51676.1 
500550 
48439.0 


54973 4 
53387.5 
51807.7 
502136 
48604.5 


55000.1 
534198 
518370 

50254-1 
48659.0 


60 
61 
62 
6S 
64 


45167.6 

43613 I 
42074.0 

40543-7 
39041.0 


46009.7 
444460 
428969 

41361.7 
39834-a 


46520.9 

1 44938.1 
1 43380 7 

41835-6 
40302.3 


46831 
45248.1 
43669.6 
42113.0 

1 40565 3 

1 


46999.8 
45402.0 
438272 
422541 
40699.3 


470549 
454584 
438712 

423075 
407438 


66 
66 
67 
69 
69 


37555.1 
36065.5 

! 34575-6 

i 33071.9 

3*553 4 


38333 2 
368482 

35358.9 
338691 
323657 


387748 

37271 5 
35782.5 
34238.2 

327927 


39026 6 
374908 
359760 

34473-5 
3-^963 8 


39150.7 
37609.2 
36068.2 

345424 
33023.2 


39194 I 

376483 
36103.5 

345662 

33033-9 

1 



Sprague's Select Life Tables. 



119 



FOUR PER CEST,-CcHi. 
YEARS elapsed SINCE DATE OF INSURANCE. 



Age. 




MU] 


MU-,] + . 


2 


10 


30018.0 


30847.8 


31283.4 


€1 


28467.0 


29313.8 


29759.7 

282.<0.8 


<S 


36928.4 


27765.4 


IS 


254432 


20230 I 


26668.7 


64 


23985-4 


24748.6 


251309 


M 


224550 


23295.9 


23647-3 


ۥ 


20957.4 


21773 8 


22193 9 


r7 


19491.7 


202866 


20676.9 


IS 


18063.8 


18833. 1 


19197.4 


et 


166555 


1 74 1 8.5 


17754-8 


70 


15262.5 


16028.4 


16354.8 


71 


138767 


14655.7 


149840 


78 


12503.5 


132939 


13636.2 


7S 


I "53 9 


1 1948.6 


12306.0 


74 


9871.78 


10630.7 
9382.37 


109995 


n 


8653.05 


972739 
8529.61 


7€ 




8199.62 



M [.-,]+, 



31452-6 
29926.8 

283843 
26825.1 

25253- » 

23695.2 
22193.9 
20676.9 

19197.4 
17754-8 
16354.8 

14984.0 
13630.2 
12306.0 

109995 

9727.39 
8529.61 



4 


5 or More 


MU-41+4 


M. 


31493.4 


31503.4 
29958.7 
284111.8 


284ii'8 


26856.9 


968569 


25296.7 


25296.7 


23734.0 


23734.0 


22193.9 


22193.9 


20676.9 


20676.9 


19197 4 


19197.4 
17754-8 


177548 


16354 8 


16354.8 


14984.0 


149840 


13636 2 


136362 


12306.0 


12306.0 


10999.5 


10999.5 


972739 
8529.61 


9727.39 


8529.61 



\ 



I20 



Sprague's Select Life Tables. 



four per cent, 
yexrs elapsed since date of insurance. 



Age. 



16 
16 
17 

If 

19 

so 

SI 

u 
ss 

S4 

26 
t6 

S7 

ss 

S9 

so 

SI 

ss 
ss 

S4 

S6 
S6 

S7 

ss 
ss 

40 
41 
4S 
4S 
44 

46 
46 
47 
4S 
49 

60 
61 
6S 
6S 
64 

66 
66 
67 
6S 

69 




3712734 
3583829 

3456524 
3330726 

3206696 

3084842 
9064782 

2849657 
2739282 

9633164 

2531006 
2432648 
2337800 
224608s 
2157119 

2070925 
1987191 

1905131 
1825513 

1748007 

1672862 
1599906 
X529108 
1460342 

1393529 

1328599 
1265335 

1203752 

I 143820 

108542 z 

1028557 
973340.0 
919777.9 
8679456 
817711.6 

769164.9 
722225.9 
676889.8 
6331 19 2 
591005.4 

5504899 
511473-8 
4739940 
437993-2 
403478.8 



1 

R[.-,l+. 



3583865 
3456572 

3331179 
3207856 

3086929 
2068915 
3853562 
3742817 
3636468 

2534070 

2435354 
2340150 
3248195 

2159157 

2073732 
1988908 

1907431 
1827691 

X7502S6 

1674954 
160x891 

l.';30947 
1462082 

1395175 

1330155 
1266954 

1205397 

1I4S493 
1087223 

1030490 
9753007 

921745-7 
869828.6 

819607.7 

7709737 

7239973 
678612.8 

634815 8 
5925755 

5519644 
5129348 
475408.3 
439418.4 
404921.3 



2 

RU-J*« 



3456572 

3331179 
3207908 

3087153 

SJ 

274428A 
2637778 

2535330 

2436541 
2341 172 

2249038 

2159902 

2073484 

1989543 
1908043 

1828781 
1751324 

1676097 
1602910 

1531901 
1462940 

1395981 

1330Q10 
1267659 
1906166 
1 146294 
1088052 

103142s 
9763436 
922814.6 
870908.0 
830624.7 

772005.9 
724964.0 

6795513 
6357159 
5934541 

552741 3 
513631.2 
4760866 
440049.4 

4055493 



R[.-»l + . i RU-4J + 4 



3331179 
3207908 

3087153 
2969364 
3855086 

2744689 
2638153 

2535632 
3436861 
3341486 

2249292 
3160083 

2073640 
1980732 
1908179 
1828021 
1751805 

1676567 
1603462 
i«;32366 

146336J 
1396340 

1331245 
1 267*^ 

1206450 

1146633 

1088415 

io3i8«-6 
970796.6 
923342.8 
871453.6 
821178.0 

7725139 
7254850 
680025.9 
636170.6 
593880.3 

553151-8 
5139665 
476359-7 
440304.1 
405761.3 



3207908 

3087153 

2969364 
3855086 

3744689 

3638339 

2535669 
3436861 
23415 I 6 
2249326 
3160104 

9073640 

1989735 
1908203 

1828921 
175180S 

1676744 
1603648 
1532598 
1463533 
1396479 

13313^2 
1268063 
1306538 

"46713 
1088534 

1031937 
976031.7 
0835x5.0 
871666.7 
831398.6 

77*739^ 
735683 9 

680336.9 

6363563 
594057.6 

5533150 
514»25.2 

4764757 
440383.7 

405830.6 



6 or More. 



3712867 
3583865 
3456572 
333"f9 
3207908 



3087153 




2744689 
3638339 

2535669 
3436861 

2341516 

2249336 

3160104 

9073640 

1989735 
1908303 

1828921 

1751805 

1676744 
1603686 
15^650 
1463606 
1396522 




1306543 

1146717 
1088539 

1031964 
976064.0 

923544^ 
871707.3 
8214531 

772794.1 
725739.2 
680280.9 
636409.7 
594102.2 

553358.3 
5141643 
476516 o 

4404075 
4058413 



Sprague's Select Life Tables. 



121 



FOUR PER CENT— C«i/. 
YEARS elapsed SINCE DATE OF INSURANCE. 



Age. 



•1 





R[.] 



•6 
•6 

67 



70 

71 
7t 
7t 
74 
7ft 
7« 



370454-4 

3389342 
309030.6 

280885 I 
aS43«7-3 

299080.8 
205419. 1 
1833025 
1^704.1 

1435519 
125802.2 

109418.4 

94393-9 
807270 

68469.2 
57S3«o 



R[.-i] + i 



371925.4 

3404364 
310467.2 

282102.2 
255441.9 

230341.0 

206625 o 

184461 7 
1638 10. 8 
144641.3 
126896.4 

I 10539 7 

95541.7 
818904 

695731 

58597.4 
48884.9 



2 

R [.-,]+. 



3725556 
3410776 

3x1122 6 
282701.8 
255872.1 

230693.3 
207046.0 
184852.0 
164175 I 

144977.7 
Z27222.8 

IZ0868.0 
95884.0 
82247.8 
H.8 




58942.4 
49215.0 



RU~t]+. 



372756.6 
341272.2 

3"3i7.9 
282901.8 
256033.1 

230741.2 
207046.0 
184852 o 
164175.1 

1449777 
127222.8 

IZ0868.0 
95884 o 
82247.8 
69941.8 

589424 
49215.0 



R[.-4l + 4 



372797.4 
341304.0 

3II345.4 

282933 6 
256076.7 

230780.0 
207046.0 
184852.0 
164175.1 

1449777 
127222.8 

110868.0 
95884.0 
82247.8 
LI.8 




58942.4 
49215.0 



5 or More. 
R, 



372807.4 

341304.0 

3"345 4 
282933 6 

256076.7 

230780.0 
207046.0 
184852.0 
164175.1 

144977.7 
127222.8 

110868.0 
958840 
82247.8 
H8 




509424 
49215.0 



122 



Sprague's Select Life Tables. 



SPRAGUE'S select LIFE TABLES. THREE AND ONE-HALF PER 

CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



^ge. 




DUl 

587013 

565419 
544aao 

523098 
501958 


1 


2 

DI.-,1+, 

544277 
523556 

i 503095 


I>[.-.l+a 


DU-,1+, 


6 or More. 
D. 


16 
16 
17 
18 

la 


5654«» 
544277 
523556 
503033 


523556 
503095 


1 

503095 


587161 
565460 
544277 
523556 
' 503095 


20 
21 
22 
2S 
24 


480662 

459013 
438442 
418956 
403462 


482559 
462086 

441332 
421603 


: 482815 
i 463603 

442644 
422892 

i 404099 


482815 
463603 

442644 
433278 

1 404496 


483815 
463603 
449644 
423378 
40458s 


482815 
1 462603 

442644 
423278 

404585 


26 
26 
27 
28 
29 


. 382896 
366247 
350459 
335441 
321084 


385155 
368283 

352384 

337105 
322658 


386273 

369327 
353207 
337904 
323372 


386638 
369671 

353539 
33818a 

323587 


386673 
369671 

353576 
338223 

333613 


386672 

369671 
353576 
338222 

333613 


SO 
21 
S2 

28 
24 


307403 
294306 

281536 

269316 

257536 

246258 

235442 
225079 

215149 
305629 


308843 
295671 
283058 
270758 
258984 

247633 
236765 
226342 

216356 
306785 


309528 

396279 
383637 
271524 
259706 

248388 

237474 
327024 
216999 

207394 


309713 
296481 

283804 

271695 
360086 


38383s 
371695 


283832 


86 
26 
27 
28 

89 


248747 
337882 

227399 
217361 

207727 


348931 

338051 
337601 
21 7531 

207873 


248921 
238098 
227666 

217613 
307928 


40 
41 
42 
48 
44 


196500 

187695 
179208 

171019 

163083 


197610 
18881 1 
180324 
17214 1 
164247 


198187 

189359 
180891 

173722 

164843 


108496 
189645 

181 155 
173009 

165148 


198630 

189759 
18x363 

i73i<^ 
165268 


198648 

189759 
181267 
173110 

16537s 


46 
46 
47 
48 

49 


155388 

H7957 
140788 

133897 
127244 


156594 

149173 
142005 

135C88 
128437 , 


157340 
149868 

142717 
13580; 
12913s 


157564 
150243 

143139 
136345 
139580 


157605 
150381 
143313 


157739 
150433 
143351 
136509 
139872 


60 
61 
62 
68 
64 


120847 
114678 
108732 
103989 
97471.8 


1220TS 

I 15838 
109880 

104135 
98585-5 


122719 
116518 
110552 

104795 
992394 


123140 
I 16941 
I 10948 
105177 
99603.3 


M3366 

X17149 
ZI1161 

99786.3 


123439 
117224 

XII320 

^846.6 


66 
66 
67 
68 

69 


92160.2 
87013.3 
82033.6 
771943 
73436.8 

1 


932530 
88117.6 1 
83140.8 

78325-3 
736453 


93870 8 
887090 

837354 

789134 
74246.3 


94330.6 
89014.6 
84004.4 

791734 
744850 


04391-0 
B9178.3 
84132.0 

79267.7 
74568.0 


94450.0 
89251.3 

84x87.3 
793007 

74582.7 



Spr ague's Select Life Tables. 



12 



^1 



o 



SPRAGUE'S SELECT LIFE TABLES. THREE AND ONE-HALF PER 

CEN l,—CoHt. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Arc. 



60 
61 
6S 
6S 
64 

6« 

66 
67 
66 
69 
70 

71 
78 
78 

74 
75 
76 






1 


2 


3 


Dl.] 


n[.-.] + , 


^h-7]*l 


D[.-sl+3 


679047 


690935 


697098 


699462 


634454 


64663.7 


65297. 1 


65532.1 


S9146.I 


60354 


61003 6 


612347 


550670 


562000 


568274 


570499 


5"589 


52a594 


52803 I 


529786 


47265.7 


48485.8 


48985.7 


490539 


43541 9 


44731 I 


453316 


453316 


39980 I 


41142.9 


41703.5 


41703.5 


3'*583 


37714 1 


38240 


38240.0 


33321.9 


34447 5 


3493^2 


34935-2 


30T81.1 


313164 


31792.1 


31792.1 


271453 


28306.1 


28786.9 


28786.9 


24218 8 


25402.8 


25906.5 


25906.5 


21414 2 


2261 1 


231394 


23139 4 


18794.7 


19942.6 


20490.5 


20490.5 


16348. I 


17456 6 


17971 7 


17971-7 




15141-3 


15636.3 


15636 3 



DU-41+4 



70003.0 

65576.6 
61273.5 

570949 
53040.3 

491092 
453316 

417035 

38240.0 

S4935.2 
31792.1 

28786.9 
259065 

23139.4 
204905 
17971 7 
15636.3 



5 or More. 
D, 



70017 o 
6557^..6 
61273.5 

570949 
530403 

49109.2 
453316 

41703.5 
38240.0 

34935.2 
31792 I 

28786.9 

25906.5 

231394 
204905 

17971.7 
15^36.3 



124 



Sprague's Select Life Tables. 



SPRAGUE'S SELECT LIFE TABLES. THREE AND ONE-HALF PER 

CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



1ft 
16 
17 
18 
19 

20 
21 
22 
2S 
24 

2ft 
2ft 
27 
2ft 
2ft 

ftO 
SI 
ft2 

S4 

ftft 
ftft 
27 
ftft 
ftft 

40 
41 
42 
4ft 
44 

46 
46 
47 
4ft 

49 

ftO 
ftl 
62 
ftft 

ft4 

ftft 
ftft 
ft7 
ftft 
ftft 



Hi'.] 



:i26506d3 

12043589 
,11478113 

10933373 

,10408944 

I 

990457a 
1 9*19050 

89SS4I7 
! 8512782 
I 8089883 

, 768574s 

! 7399585 
6930499 
6577473 
6239543 

591624A 
5606726 

S309531 

5025239 
4753018 

4492808 
4244009 
4006204 
3778881 
356x602 

I 3353948 
I 3155323 
I 2965453 

; 2784026 
3610596 



2444908 
2286860 
' 2136231 
X992856 

1856354 

1726613 
160331 1 
1486237 

1375137 
1269950 

"70415 
1076200 

987195 8 

?>3l49 2 
»3 064 




12043630 
11478170 

10933893 
10410275 

9906986 
0423910 
8960037 

8516975 
^093826 

7689420 
7302849 

6933338 
6580040 

6242032 

5918459 
5608841 

5312420 

5027995 
4755923 

4495482 

4246550 
4008567 
378x125 

3563732 

3355973 
3157448 
3967628 
2786245 
2613C07 




1729110 
i6o«;76o 
1488633 

1377505 
1272148 

I 173478 
1078255 
989186.6 
905162.2 
9250S5 o 



XX478170 

10933893 
10410337 

9907242 
9424437 
896x834 
85x8705 
8095373 

7690918 
7304365 
6934566 
6581054 
6242935 

5919374 
5609616 

5313170 
5029362 

4757237 

4496939 

4247849 
4009785 

3782235 
3564769 

3356947 

3158363 
2968637 

2787304 
2614x04 

2448760 
33909x9 

2140347 
1996898 
1860345 




H[.-.J+s 



1x73562 
1079225 
990137.2 
9060458 
826836.9 



10933893 
10410337 

9907242 
9424427 
8961824 
8519180 

8095813 

j 7691273 
7304645 
6934958 

6581359 
6243150 

5919563 
5609846 

5313337 

5029533 
4757838 

4497531 

4248551 
4010375 

3782761 

3565226 

3357375 
3158760 
296^004 

2787746 
26(4582 

2449261 
2291520 
2141031 

1997630 
1 86109 1 

1731210 
1607803 

1490577 
1379376 
1273958 

1x74131 
1079691 
990516.2 

Qo6;oi.8 
827x32.4 




10410337 

9907242 
0424427 
896x824 
8519180 

: 8095902 

, 7691317 

7304645 

6934974 

6581399 
6243177 

5919563 

5'J0985i 
5313365 
5029533 
4757838 

4497712 
4248784 
4010669 
3782976 
3565400 

3357499 
3158879 

2969115 
2787849 
2614737 

2*49434 
2.91697 

214: 278 
I9979»2 
I 861 385 

1731511 
1608070 

1490862 

1379629 

1274199 

"74354 
1079910 

990676.8 

906511.8 

8272 9 4 



6 or More. 

N. 



12630791 
1204^30 
I I47817O 

10933893 
1041-337 

9907242 

9424427 

■ 896x824 

85I9180 

8095902 

7691317 

; 7304645 

I 6934974 

6581399 
6243177 

5919563 
5609851 

; 5313365 

' 5029533 

4757838 

4497752 
4248831 
4010735 
3783068 

3565455 

3357527 
' 3158879 

I 209I2O 
2787853 
2614744 

2449469 
229x739 

, 2I4I316 

1997965 
180X457 

1731584 
1608 145 
I49092I 

1379701 
1274260 

1174413 

I 1079963 
990732.1 

9065448 
827244.1 



Sprague's Select Life Tables. 



125 



SPRAGUE'S SELECT LIFE TABLES. THREE AND ONE-HALF PER 

CENT.— C«w/. 
YEARS ELAPSED SIVCE DATE OF INSURANCE. 



Age. 




N[.-,]4., 


Nl.-a] + , 


N[A]+« 


H[.-Jf4 


5 or More. 


00 


749321.3 


1 

' 75MI9 6 


7523097 


752590 6 
6825999 


752647 4 


75266 r. 4 


61 


679264.4 


6^1416.6 


682326.1 


682644 4 


682644.4 


6S 


6137530 


615819.0 


616752.9 


617029 


617067 8 


617067.8 


63 


552862.0 


5546069 


555465 


555749 3 
4986376 


5557943 


5S5794.3 


64 


4961^.6 


4977950 


498406.9 


4986994 


498699.4 


66 


443215.0 


445Q35 7 


4455356 


445603.8 


4456590 


445659 


66 


394»99 5 


395949 3 


396549 9 


3965499 


3965499 


396549 9 


67 


3489688 


350657.6 


351218 2 


351218.2 


351218.2 


351218.2 


68 


3073700 


308988.7 


3095147 


3095147 


309514.7 


309514.7 


69 


269185.7 


270787.0 


271274.6 


271274.6 


271274.6 


271274.6 


70 


234247.7 


2358638 


236339 5 


2363395 


236339 5 


236339.5 


71 


202402.1 


2040666 


2045474 


204547.4 


2045174 


204547.4 


72 


1735444 


175256.8 


175760 5 


173760.5 


175760.5 


175760.5 


78 


147580.8 


149325 6 


149854.0 


149854.0 


149854.0 


149854.0 


74 


X 24503 7 


126166.6 


126714.6 


I 26714.6 


1267 14 6 


126714.6 


76 


104 105 5 


1057C590 


106224.0 


106224.0 


106224 


106224.0 


76 

1 


1 


8775735 

1 

1 


88252.38 


88252.38 


88252.38 

1 

1 


88252.38 



126 



Si'Kaciik's Sei-ect Lifk Tables. 



SPRAGUKS SELECT LIFE TABLES. THREE AND ONE-HALF PER 

CENT. 
YEARS ELAPSED SLVCE DATE OF INSURANCE. 



1 





1 


2 


3 


4 


5 or More. 


Age. 


Cl.J 


C[.-,J + , 


C[.-,]4, 


C[.-,J + , 


t.U-4l*4 


c. 


IS 


X702 7 








18455 


16 


2oax.6 


2061.7 


• • • • . 






2061.7 


17 


a26i.3 


23i«;.o 


23150 






23150 


18 


2375-3 


27^68 


2756.8 


2756.8 




27568 


19 


24248 


3208.7 


3206.7 


32667 


3266.7 


32667 


20 


2322.1 


36368 


3?'84.6 


3884.6 


3884.6 


38846 


21 


2159 I 


3817.1 


43162 


43162 


43162 


4316.2 


22 


201 1.9 


35158 


A3'. 6 9 


4396.9 


4396.9 


43969 


2S 


1881.2 


3248.2 


40f/5 1 


43796 


43796 


437^6 


M 


1765.8 


3011.0 


3£o7.o 


4146.2 


4231-5 


4231s 


26 


16647 


2804.5 


3540.9 


38836 


39248 


39*4-8 


26 


15772 


2622.8 


32991 


35946 


3594.6 


35946 


27 


1502.5 


2467.0 


3081.4 


33632 


3396.7 


33967 


28 


14398 


2333-5 


2889.4 


31320 


3171.2 


3171.2 


20 


13834 


22200 


27233 


29313 


29571 


29571 


SO 


13366 


21205 


2580 I 


27538 


2753-8 


27538 


81 


1295.1 


2035 5 


2455 I 


26245 


26275 


2627.5 


82 


1257.7 


ig'ru.l 


23496 


25109 


2538.6 


2538.6 


88 


1224.5 


l8r.6 4 


2257.1 


2421 7 


2421.7 


2421.7 


84 


1194-5 


1838.2 


2176.6 


23098 


23698 


23698 


85 


116C.7 


17848 


2107.0 


2285.1 


2405.6 


24056 


86 


1 138 3 


1735 I 


20448 


2236.8 


2334.9 


23803 


87 


1112.3 


1689.1 


1986.5 


2188.9 


2291.0 


23539 


88 


10880 


16454 


19334 


2136.8 


22377 


2326.6 


80 


X065.3 


16057 


18847 


2082.7 


21959 


2247.9 


40 


1044.0 


156S6 


1840.8 


2025.5 


2144.6 


2171 Q 


" 


1024.5 


1535-2 


i8on6 


1970.2 


2074.9 


2074.9 


42 


1006.2 


1504 4 


17650 


1024.2 


2022.5 


2027.5 


4» 


989.4 


1476.5 


17331 


18909 


19760 


1980.9 


44 


974.0 


1451.8 


i'/"049 


1868.4 


1949-5 


19565 


46 


961.0 


14303 


1681.4 


18554 


19392 


19725 


46 


9489 


1411 3 


1661 4 


1848.6 


1944-5 


19852 


47 


939-5 


1396.0 


16459 


18433 


19=8 


1994.8 


48 


9321 


1^84.2 


16349 


18^,69 


1968 6 


2020 


40 


926.6 


13753 


1628.5 


18314 


1971.9 


2041.2 


60 


922 6 


1370.3 


1627.4 


1827.2 


1970 8 


2041.4 


61 


920.1 


1368.3 


1629 9 


18255 


19^07 


2039.2 


»« 


919.6 


1370 I 


1636.6 


18275 


19618 


20187 


68 


9204 


13744 


16478 


18339 


1959 4 


2028.5 


5* 


922 7 


13811 


1662.9 


18439 


19.2 


2020 a 


66 


9259 


13907 


1681.8 


1836 5 


1967 8 


2024.7 


66 


930.0 


14025 


1705.0 


1872.4 


1975. 1 


2026.6 


67 


934-4 


14159 


1731.2 


18960 


1986.4 


2059.6 


68 


938.6 


14303 


17599 


1927.3 


2CO4 6 


2036.3 


SO 


042 2 


14452 


1789.4 


19633 


20294 


20436 



Sprague's Select Life Tables. 



127 



SPRAGUE'S SELECT LIFE lABLES. THREE AND ONE-HALF PER 

CENT.— Gwi/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



71 
78 
78 
74 
76 
76 



824-5 
788.9 

747.4 

702-5 
6540 



1442.4 

14^-5 

13557 
1296.6 

1230 o 

1155.6 



1900.9 
1891. 1 
1866.3 
1826.0 
1727 6 
1633.8 



1906.9 
1891.1 
1866.3 
1836.0 
1727 6 
1633.8 



Age. 





1 


2 


s 


4 


5 or More. 


C[.J 


Cf.-,] + , 


c [.-,!+, 


2004.3 


cr.-,i+4 


c. 


60 


944-8 


14599 


18204 


2059.2 


2073.6 


61 


946.0 


14736 


1854-3 


2042 6 


2085.5 


ao855 


68 


946.0 


1485.7 


1890.8 


2069.1 


2106.6 


3106.6 


68 


945-5 


1496.4 


1927. 1 


20805 


3123.8 


2133.8 


64 


943-2 


15064 


1963.8 


2078.0 


2137-5 


2137-5 


66 


936.? 


1514.6 


1997.6 


20634 


3116.9 


2Il6.q 


66 


936.6 


15150 


2095.2 


2095.3 


2095.2 


2095.2 


67 


913-9 
898.5 


1511-6 


2053.2 


2053.2 


20532 


2053.2 


68 


15037 


2011.7 


2011.7 


2011.7 


2011.7 


69 


878.8 


i-»90 5 


1961 7 


1961 7 


1961.7 


I961.7 


70 


8544 


1470.5 


1930.1 


1930.1 


19301 


1930- 1 



IQ06.Q 
1891. I 

18663 
1826.0 

1737 6 
1633-8 



1906.9 
1891 I 
1866.3 
18260 
1727.6 

1633-8 



128 



Sprague's Select Life Tables. 



SPRAGUES SELECT LIFE TABLES. THREE AND ONE-HALF PER 

CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 





M[.-,]f, 


Ml.-,J.|., 


8 


ML-4J+4 


5 or More. 


16 
16 
17 
18 
19 


158148 
15607a 

153372 

149965 


X58188 
156126 

1538" 
150997 




156126 

153811 
151054 


153811 
151054 


1S1P54 


160033 
158188 
156126 
153811 
151054 


SO 
81 
88 
88 
84 


145726 

14049s 
135605 
131087 
Z26896 


147540 
143404 
'38336 

133593 
129206 


147788 

143903 
139537 
134820 

130345 


147788 

143903 
139587 
135190 
130725 


147788 

143903 
139587 
135190 
Z30810 


147788 
143903 
139587 
13S«90 
130810 


86 
86 

87 
88 
89 


122992 

119398 
11609A 

1x3018 

I 10084 


125130 
121327 
X 17821 

114591 
X 11578 


126 195 
122325 
1x8704 

115354 
112257 


126538 
122654 
X 19026 
115623 
112465 


126579 
122654 

119059 
115663 

Z12491 


126579 
122654 

119059 
115663 
112491 


80 
81 
88 
88 
84 


107337 
104707 

101988 

99380.6 

96807.3 


X08701 
106000 
103412 
100730 
98156.1 


109358 
106580 
103964 
101450 
98833.6 


109534 
106778 

104125 

101614 

99x92.7 


109534 
106781 

104153 
101614 

991927 


109534 
106781 

104153 
101614 

99192.7 


86 

86 
87 
88 
89 


94328.7 

87361.7 
85188.2 


956128 
93163 
90786.6 

884924 
86273.7 


96317.9 
93828.0 
9x427.9 

89097.5 
86847.0 


96657.0 
942x09 
917832 

87x64.1 


96822.9 

94371.9 
91974 1 

89594.3 
873046 


96822.9 

944173 
Q2037.0 

89^3.1 
87356.6 


40 
41 
48 
48 
44 


83081.7 
80994.2 
789269 
76873.8 
74802.2 


84x22.9 
82037.7 

799697 
779207 
75884.4 


84668.0 

825543 
80502.5 

784653 
76444.2 


84962.3 

82827.2 

80753.7 

78737.5 
76732.2 


85081.4 
82936.8 
80857.0 
788295 
76846.6 


85108.7 
82936.8 
80861.9 

788345 
76853.5 


46 
46 

47 
48 

49 


72710.4 
70621.0 
68548.9 
66506.2 

644694 


73828.2 

717494 

69^5. 1 
676094 

65574.1 


744326 

723979 
70338.1 
68279 X 
66225.2 


74739.3 
72751.2 

70736.5 
686922 

666442 


748638 
728839 
70902.6 
68893.2 

66855.3 


74897.1 
72924.6 

AJ939.4 
689446 

6:924.6 


60 
61 
68 
68 
64 


62459.4 
604605 
«;8472.8 
56486.7 

54527.3 


63542.8 
61536.8 

59540.4 
57553-2 
55566.3 


64198.8 
62172.5 ' 
60168.0 
58170.3 
56178.8 


64596.7 

62571.4 
60542.6 

58531.4 
56522.5 


64812.8 
62769.5 

607459 
587151 
56697.5 


64883.4 
62842.0 

6o8oa.8 

58784.1 
56755.7 


66 
66 

67 
68 
69 


52580.9 
50620.3 
48650.4 

466533 
44625.4 


53604.6 
516550 

49690.3 
477160 

457147 


54185 2 ; 
522139 1 

50252.5 
48274 4 

46285 7 < 


54515.9 
52503.4 
50508.9 

48521.3 
465145 


54678.6 

52659.4 
5063X.0 
48612.9 
465940 


54735 5 
52710.8 

50684.5 

486446 

46608.3 



Spragl'e's Select Life Tables. 



129 



SPRAGUE'S SELECT LIFE TABLES. THREE AND ONE-HALF PER 

CENT.— C<wf/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



eo 

61 
IS 
IS 
M 

U 
M 

17 
68 
69 

70 

71 
7t 
7S 
74 
7» 
7t 





MM 



425658 
404754 

383913 
36371.2 

34379-5 

32277.8 
30211.6 
28179.2 
26188.9 
242 19. 1 
22259.7 

20300.9 
18350. 1 
16423.6 

145844 
X2827.7 



M[.-»] + , 



43683.2 
41621.0 

395294 
37445-3 
35425.7 

33436.3 
31341-6 
29285.0 
272653 
25290.4 

23340.3 

21405-3 
19476.4 

17561.2 

156762 

13881.9 

12173.7 



ML-tl+t 



44269.5 
422233 
40147.4 
38043-7 
35948.9 

33919.3 
31921.7 

29826.6 

27773-4 
25761.6 

237999 

21869.8 
19962.9 
18071.9 
16205.5 
14379.6 
12651.9 



M [.-,]♦, 



44496.3 

42449 I 
40369.0 

382566 

361 16. 6 

33985-1 
31921.7 

29826.6 

27773-4 
25761.6 

237999 

21869.8 
19962.9 
18071.9 
16205.5 
14379.6 
12651.9 



MI.-4I+4 



445512 
42492.0 
40406.5 
38299.9 
36176.1 

34038.6 
31921.7 
29826.6 

277734 
25761.6 

23799.9 

21869.8 
19962.9 
18071.9 
16205.5 
14379.6 
12651.9 



5 or More 



445646 
42492.0 
40406.5 
38299.9 
36176.1 

34038.6 
31921.7 
29826.6 

277734 
25761.6 

23799.9 

21869.8 
19962.9 
18071.9 
16205.5 
14379.6 
12651.9 



I.^O 



Spragil's Select Life Tables. 



SPRAGUE'S SELECT LIFE TABLES. THREE AND ONE-HALF PER 

CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Afc. 



U 
16 
17 
18 
19 

SO 
SI 
Sfl 
SI 
24 

S» 
S6 

n 

S8 
SS 

SO 
SI 
32 
U 
S4 

86 
80 

87 
88 
SO 

40 
41 
4S 
48 
44 

46 
46 
47 
48 

40 

60 
61 
6S 
68 
64 

II 
66 

67 
68 
69 





RUl 



49106140 

4750709 

4592507 

4435939 
428x287 



41 




3833794 
3694201 

3559377 

3428983 
3302884 
3180788 
3062263 
2946868 

2834679 

2725332 
2617912 

2513333 
241 1235 

231 1920 
2215200 
2121051 
9029334 

1939961 

1852864 
1767786 
1684752 
1603742 
152461X 

1447373 
1372180 

1299352 

1228096 

X159158 

1092353 
1027597 
964893.8 
904202.0 
8456524 

789180.2 
734662.5 
682160.2 
631606.4 
583014.2 



R[.-i] + i 



4750749 
4592501 

4436435 
4382567 

4131.^22 
3983283 

3838173 
3698189 
3563114 

3432481 

3305991 
3183486 

3064694 
9949245 

9836784 
2727342 
2620625 

2515924 
2413952 

2314428 
22 I 759 I 
2123275 

2031447 
X941972 

1854772 
Z769782 
1686792 
1605825 
1526868 

1449809 
1374663 
1301556 

1230503 
1161590 

X094689 
1029894 

9671363 
906421 o 

8477153 

79x125.1 

7365993 
684042 2 

6335098 

5849531 



R[.-.]+. 



4592561 

4436435 
4282624 

4131570 
3983782 

3839879 
3699837 
3564596 

3433908 

3307351 
3184664 

3065665 

2950103 

2837667 
2728083 
2621342 
2517213 
2415194 

2315796 
2218816 
2124428 
2032488 

1942954 

1855698 
1770650 

1687745 
x6o6322 

152790* 

1450983 

13759S1 
1302914 
1231881 
1162894 

1096016 
1031 146 

9683569 
9075959 
848867.8 

7921490 
737590.5 

6849443 
634351 9 
5857938 



Rf.-tl+t 



443643s 
4282624 

4131570 
3983782 

3839879 
3700293 

3565017 

3434251 

3307713 
3185026 

3065960 

29503XX 

2837846 
2728309 
2621503 
2517378 
2415763 

2316360 
3219478 
2124988 
2033000 

1943391 

1856107 
1771030 
1688095 
1607242 

1528357 

1451460 

1376551 

1303583 
1232576 

1163602 

1096669 
1031817 

9689734 
908188.9 

849425.6 

792689.0 
7379638 
6853066 
6^691.8 
586077.5 



RU-4]*4 



• • • • 



4282604 

4131570 
3983782 

3839879 
3700293 

I 3565103 

t 

I 

' 3434992 
3307713 

3«£5059 
3066000 

2950337 

2837846 
272831 X 
2621531 
2517378 
2415763 

93 I 657 I 
2219703 
2125267 
2033204 

1943559 

1856226 

1771145 
1688203 
1607342 

1528505 

1451625 
1376721 
1303800 
1232846 
1163883 

1096958 
1032072 

9692457 
008430.8 

849657.5 

799903.1 

7381731 
685460.4 

6347977 
586170.5 



5 or More. 
R. 



49x0782 

4750749 
4592561 

4436435 
^28262^ 

4I3I57O 
398378a 

3839879 
3700393 

3565103 

3434992 

3307713 

3185059 
3066000 

9950337 

9837846 
2728311 
268I53I 
9517378 
9415763 

9316571 
2219748 

9I2533I 

9033293 
Z9436IO 

1856254 

1771145 
1688208 

1607346 

I5285I2 

Z45I658 
1376761 
1303837 

12^ 




7999600 

738294.5 

6855137 
6548294 
586184.8 



Sprague's Select Life Tables. 



131 



SPRAGUE'S SELECT LIFE TABLES. THREE AND ONE-HALF PEK 

CENT.— a»«/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Afe. 



00 
61 



•4 

M 
66 

67 
66 

60 
70 

71 
72 
7S 
74 
76 
76 







536^04.2 
49i8oa.4 

4493693 
409314-9 
371414-5 

335396.4 
301347.0 

a695ai-5 

2397947 
2 19074. 8 

1863x0.6 

162460.0 
140522.1 
120505. 1 
102492. 1 

8637523 



RU-i]+i 



538^88.8 

493838-4 
45T327.0 

410978.0 
372943-7 

337035-0 
303018.6 

2711354 
241342.3 
213605.8 

187855.7 

164050.9 
142159. 1 
122172.0 
104081.5 
87907.68 

73547 53 



8 

R[.-tl + . 



539238.4 
494705.6 

452217.4 

411797.6 

373532.7 

337518.0 

303598.7 
271677.0 
241850.4 
214077.0 
188315.4 

164515.4 
142645 6 

122682.7 

104610.8 

88405.33 
74025.78 



R[.-s]+« 



5395081 
494968.9 
452482.3 

412070.0 
3737539 

3375838 

3035987 
271677.0 
241850.4 
214077.0 
188315.4 

164515.4 
142645.6 

122682.7 

104610 8 

88405.33 
74025.78 



RL.-41 + 4 



539563.0 

49501 1.8 

452519.8 
412113.3 

373813.4 

337637.3 
3035987 
271677.0 
241850 4 
214077.0 
188315.4 

1645154 
142645.6 

122682.7 

104610.8 

88405.3^ 

74025.78 



5 or More. 
K. 



5395765 
495011.8 

4525198 
412113.3 

3738134 

3376373 
3035987 
271677.0 
241850.4 
214077.0 
188315.4 

164515-4 
142645.6 

122682.7 

IO4610.8 

88405.33 
7402578 



132 



Sprague's Select Life Tables. 



SPRAGUE'S SELECT LIFE TABLES. THREE PER CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 





1 


1 

1 ^ 


3 


4 


5 or More. 


DU] 


D[.-,U, 


1 


r>[.-,i+. 


I>[.-4J+« 



D, 


Ifi 


631239 




631400 


16 


610970 


611015 









611015 


17 


590919 


590980 


590980 







590980 


18 


570741 


571241 


571241 


571241 




571241 


19 


550335 


551514 


551581 


551581 


551581 


551581 


SO 


529545 


531634 


531916 


531916 


531916 


531916 


SI 


508149 


511551 


512123 


512123 


512123 


512123 


Sfl 


487733 


490947 


492406 


492406 


492406 


492406 


St 


468319 


471278 


472717 


473149 


473149 


473149 


S4 


449817 


452566 


453904 


454349 


454448 


454448 


2k 


43«i74 


434723 


435986 


436387 


436436 


436436 


S6 


415390 


417699 


418882 


419273 


419273 


419273 


rt 


399413 


401493 


402544 


402923 


402964 


402964 


SI 


384153 


386058 


386973 


387291 


387337 


387337 


S9 


309496 


371308 


372128 


372376 


372406 


372406 


so 


355469 


357135 


357927 


358140 


358140 


358140 


SI 


341976 


343563 


344268 


344504 


344509 


344509 


ss 


328726 


330504 


331178 


331374 


33'407 


331407 


ss 


315985 


317676 


318575 


318776 


318776 


318776 


S4 


303630 


305337 


306188 


306636 


306636 


306636 


S6 


291743 


293371 


294267 


294691 


294897 


294897 


S6 


280283 


281859 


282702 


283187 


283388 


283444 


S7 


269248 


270757 


271574 


270023 


2^264 


272341 


SS 


^8618 


260069 


260841 


261276 


261468 


261579 


S9 


248373 


249772 


250506 


250908 


25x085 


251 150 


40 


238499 


239846 


240548 


240923 


241073 


341107 


41 


228919 


230279 


230947 


231297 


231436 


231436 


4S 


219628 


220996 


221691 


222014 


222146 


222152 


4S 


2x0610 


211992 


212707 


213061 


213179 


213x85 


44 


aoi8ii 


203251 


203990 


204367 


204515 


204524 


46 


X93223 


194722 


195526 


105929 


196092 


196134 


46 


184876 


186394 


187264 


187730 


187904 


187957 


47 


176771 


178300 


179193 


179724 


179942 


179990 


4S 


168936 


170137 


171345 


171898 


172164 


172231 


49 


161321 


162834 


163719 


164282 


164562 


164653 


SO 


153954 


155442 


156339 


156875 


157164 


157257 


61 


146805 


148289 , 


149161 


149702 , 


149967 


150063 


6S 


139868 


141346 1 


142210 


142720 


142994 


143 70 


68 


133124 


134606 


135458 


13595a 


136201 


136293 


64 


126604 


I28051 


128900 


129372 


129610 


I296I9 


66 


120286 


121713 


122519 


122975 


123198 


123275 


66 


114120 


ii55«>8 


I16SW 


"6745 


116959 


1x7029 


67 


108111 


109570 


110354 


1 10708 


110877 


IXOQ49 


68 


X02227 


103725 


104504 


104847 


104973 
99238.6 


I05017 


69 


964593 


98000.8 


98800.8 


99118.3 


99248.2 



Spragl'k's Sklect Life Tables. 



133 



SPRAGUE'S SELECT LIFE TABLES. THREE PER CEST.—Ctmt. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Arc. 



•0 
61 
6S 
68 
64 

6fi 
66 

67 
66 
69 

70 

71 
72 
78 
74 
75 
76 







90800.4 

852494 
79858.5 
74711-8 
69746.4 

647514 
59939-6 
5';303 6 
50850. 1 
46542.x 
423598 

38283.9 

343224 

30495-1 
26894.6 

235073 



1 

I)l.-il + , 



92390.0 
86886.4 
81489.2 
76249.0 
71246.7 

66423.0 
61576 6 
56912. 1 
52422.4 
481 14 2 

43953- 1 

39921. 1 
36000.3 

321994 

285373 
25101.2 

21877.7 



!)[.-»]+, 



93214.2 

87737 4 
82366.2 

77100.2 

71988.2 

67107.8 
62403.3 
57687.6 

53153-4 
487954 
4.1620.9 

40599.1 
36714.2 

329519 
29321.4 

25841.8 

22592.9 



8 



l>f. 41+4 



93530.2 

88053 2 


93606.3 
b8ii2.9 


826784 
774020 


S2730 7 
77463-0 


72227.2 


723113 


67201.2 
624033 
57687.6 


67276.9 
62403.3 
57687.6 


531534 

487954 
44620.9 

1 


53153 4 

48795 4 
44620.9 


40599.1 1 
36714 2 , 


40599. 1 
36714.2 


329519 


329519 


29321.4 

S5841 8 


29321.4 
25841.8 


22592.9 


22592.9 



5 or More. 



?^624.8 
8112 9 
82730.7 
774630 
72311.3 

67276.9 
624033 
57687.6 

531534 

487954 
44620 9 

40599.1 

36714-2 

32951.9 
29321.4 

25841.8 

22592.9 



lk's Select Like Tables 



SPRAGUE'S SELECT LIFE TABLES, THREE PER CEXT. 
YEARS ELAPSED SINCE DATE OF NSURANCE. 



A(<. 


H.', 


Mi.'.i-, 


Ni.',i.. 


«t,-J-. 


fll.-J*. 


n. 


IB 


14158858 
13M7BI7 

13Q^34' 

"384'39 


ii 


13547888 


ini^ 


i=38s»7 


J47W03 
14158903 
11547888 
1=956908 
1=385667 


14 


11831143 

I 0781910 
10090479 

9«I77lfi 


IIS33804 

11301598 
10786057 

1^95177 
9e«l6o 


11834086 

1130=170 

98=3899 


1.834086 
1130J170 

iO790at7 


1,834086 

1130=170 
i^9™47 
982449= 


I1834086 
1130111^ 

10790047 
lo=976« 
98=449> 


t« 

M 


8106870 

77'9844 


8SS 


fi 

8.10976 

77=375S 


IS 

81113=4 

77=4003 


8514335 
B111371 
77=4033 


B5143JS 
811.371 
77=1033 


M 

ai 

H 


7347781 

631=517 

5993MJ 


7350348 
6993312 

6647674 
6315761 
599653' 


7351409 


735'6=7 

6317571 
5998795 


6317571 
5998795 


6317^71 

5998795 


M 

u 
n 
11 
n 


5686284 
539'S<'3 
S>o83B7 
4836434 
457S»8 


568946= 

S3W541 

5II1J30 

4839139 
4577B16 


569>'95 

4840,63 
4579070 


S691BOT 
5396^ 

51 13389 
4841.08 
45796a= 


569'l6o 

5397»o6 
51 13741 
484IJ66 


569=160 

SI 

4841477 
4579898 


40 


385 '6W 
36193=3 
3415718 


34I87I3 


432B044 

3633376 
34!«»77 


4087496 
385606= 


4338714 
4087641 

m 


3856205 

3634?53 
3480869 


W 


3"o6so 
301*090 

=645795 
347354> 


3= '3907 
30 '74=7 

24768S9 


32,546= 

3019185 
8831033 


3316087 
3019936 
=83.^2. 
=6518*0 
3479509 


^5=197 
=47991= 


3=16345 
30=0210 

=480033 


ii 


=?>90»3 
aiSi9'3 
MOJO13 


=155069 
=005108 
I96=I4S 

17=5948 


=314015 
"56779 

1S63761 
"7=7539 


iK076.B 
1864570 
. 7=^304 


=007984 
1864898 
17=8618 


3315380 
31581=3 
H»8o6o 

.864900 
17*8697 


» 


I59J775 
147078s 


iJ4593a 
1 [410=1 


'597807 
'174764 
'3579=1 
1=47095 
114=197 


1598639 

1=47567 
114=591 


ill 

1=4771= 
114=7=0 


>599~« 

"4=739 



Sprague's Select Life Tables, 



135 



SPRAGUE'S SELECT LIFE TABLES. THREE PER CENT— CVn/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Afe. 



00 
•1 
6t 
9$ 
•4 

M 
t6 

67 

es 

60 
70 

71 
71 
78 
74 
71 
76 



Nt".] 



XO39OI5 

9453M3 
857268.3 

7750377 
698140.8 

625896.0 
558732.2 

4964531 
438896.0 

3858061 

336992.7 

292981.8 

a5i567S 
2147567 

181878.3 

152674.6 



1 



N[.-,]+. 



1041828 
948214.2 
860064.9 

7774098 
700325.9 

628394.4 
561 144.6 
4987926 

44"49 5 
388045.9 

339264.0 

294632.9 

253997-9 
217245.x 

184361.6 

1549837 
X29167.3 



« 



N[.-t)+« 



1043021 

949438.3 
861327.8 

778575 7 

701 160. 8 

629079.2 
561971.4 
4995680 
441880.5 
388727.1 
339931-7 

295310.9 
254711.8 

217997.6 

185045.7 

155724.3 
129882.5 



8 



N[.-,]+, 



1043396 
949806.4 
86x700.9 
77896X.6 

701475.5 

629172.6 
561971.4 
499568.0 
44x880.5 
3887271 
339931.7 

295310.9 
2547XX.8 
2179976 
185045.7 

155724.3 
129882.5 



N[.-4] + 4 



XO43472 
949866 I 
86X753.2 
779022.5 
701559.6 



6 or More. 



1043491 
949866.1 
861753.2 
779022.5 

701559.6 



6292483 


629248.3 


56I97I.4 


561971.4 


4995680 


499568.0 


441880.5 


441880.5 


388727. 1 


388727.1 


339931.7 


3399317 


295310.9 


295310.0 
254711.8 


2547II.8 


2179976 


217997.6 


185045.7 


185015.7 


155724.3 


155724.3 


129882.5 


129882.5 



'36 



Spragce's Select Life Tables. 



SPRAGUE'S SELECT LIFE TABLES. THREE PER CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age 





C[.] 



1 



2 8 4 



1ft 


i»39-9 


16 


2194-3 


17 


2467.4 


IS 


2603.7 


19 


2671.8 


20 


2570.6 


21 


2401.5 


22 


2248.8 


22 


21x3.0 


24 


19924 


26 


1888.4 


26 


1798.1 


27 


1721.3 


2f 


1656.4 


29 


1600.1 


SO 


15535 


SI 


1512.4 


S2 


1476.0 


U 


1443-6 


U 


1414.9 


Sft 


1387.8 


S6 


1361 8 


S7 


1337 « 


88 


13140 


89 


1293.1 


40 


1272.9 


41 


1255.5 


42 


1239.2 


4S 


1224.3 


44 


1211.1 


45 


1200.8 


46 


I191.5 


47 


1 185 3 


48 


X181 8 


49 


1180.5 


60 


118X.1 


61 


11836 


62 


1188.6 


68 


X195.6 


64 


1204.2 


66 


12144 


66 


1225.6 


17 


1237-4 


IS 


1249.0 


•• 


1259.9 



C[.-.]*i 


cU-,1*, 


2238.6 
25258 
30225 
3534^3 


a525-« 
3022.5 
3598.9 


4026.7 
4246.2 

3929.5 
3648.4 

3398-* 


4300.4 

4801.4 

4914.9 

4599-1 
4296.8 


3179-7 
2989.7 

28262 

2686.2 

2566.2 


4015.9 
37587 

35295 
3326.1 
3150.2 


2464.6 

2377-3 
2302.5 

2236.2 

2177.6 


2997.0 
2867.3 

2757-4 
2661.6 

2579.1 


2124.4 

20756 
2030.5 

1987.5 
1948.5 


2508.2 

2445.7 
2387.9 

2335.5 
2287.7 


X913.3 
1880.9 


2244.7 
2206 9 


1852.7 
1827. X 
1805.3 


2173.1 

21447 
2120.0 


1787.1 
1772 

I7b48 
1752 I 


2100.8 
20860 
2076 6 
2072.8 
2074.6 


17542 
1760.7 
1771.0 
17852 
1803.6 


20833 
S096.6 

21155 
2140.4 

2170.4 


X823.8 
1848.4 

X875 I 
1903.3 
1932.4 


2205.7 
2247.0 
2293.6 

23419 
2392.7 



3022.5 
35989 

4300.4 

4801.4 

4914-9 
49193 

4679.1 

44045 
4096.7 

3850.3 

3604.9 
3390-8 

3199.9 

30635 
2946.7 

2855.2 
2807.5 

2720.7 
2675.6 

2630.7 
2581.1 
2528.0 

2470.5 

2414.2 

23699 
23393 
2323.4 

2318.3 

2321.0 
2325 6 
2328.9 

2333.1 

2339.0 

2348.4 
2362 2 
2382.0 
2406.7 

2434.8 

2467-7 
2510.7 
2564.6 
2625.2 



3598.9 

4300.4 
4801.4 

49149 
4919.3 
4776.x 

4451.5 
4096.7 

3890.0 

3649-4 

34195 

3199.9 
3067.9 
2978.5 
2855.2 
2807.5 

2863.8 
27936 

27538 
27025 
2665.3 

2615.7 
2542.8 

2490.3 
2445.5 
2423.5 

2493.x 

2441.5 
2470.3 

24959 
2512.2 

2522.9 

2529.8 

2535.9 
2544.9 
2560.7 

2580.9 
26030 
2630.6 
2667.5 

2713.7 



5 or More. 
C. 



1994.1 
2238.6 

2525.8 

30225 

35989 

4300.4 
4801.4 

49149 
4919.3 
4776.1 

4451.5 
4096.7 
3890.0 

3649.4 
3419.5 

3199.9 
30679 
2978.5 
2855a 
2807.5 

9863.8 

2847-4 
28295 
2810.2 

2728.4 

9648.Q 
9542.8 
2496.8 

2451.3 
9432.8 

9464.7 
9492.6 
9516.8 
2561.0 
9600.4 

2613.3 
2623.9 
2609.4 

2634.7 
2636.7 

2655.4 
9670.8 

9701.0 

9709.8 

27327 



Sprague's Select Life Tables. 



137 



SPRAGUE'S SELECT LIFE TABLES, THREE PER CENT.— Gwi/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



60 
61 
6t 
6S 

64 

6» 
66 

67 
66 
66 

70 

71 
71 
7t 
/4 
76 
76 





CUI 



1269.5 
1277.2 

"83-5 

1289 X 
1292.1 

1286.7 
1281.7 
1270.4 

12549 

"334 
12050 

1x68.5 
1123.4 
1069.S 
1010. X 

9450 



1 
cu-.J-K, 



1961.7 

1 989. 6 
2015 7 
2040.1 
2063.7 

2085.1 
2095.6 
2x01. 1 
2100.3 
2092.0 

20739 

2044.2 
2000.0 
1940. X 
1864.4 
1777.1 
1677.8 



2 

CU-,]+, 



2446.0 

25037 
2565.2 
2627.2 
2690.4 

27500 
2898.2 

2854.0 

2809.9 

2753 3 
2722.1 

2702.4 
2693.0 
2670.7 
2625.6 
2496.2 
2372.2 



C[,-,l + , 



2693.1 

2757.9 
2807.3 
2836.3 
2846.8 

2840.6 
2898.2 
2854.0 
2809.9 

27533 
2722.1 

2702.4 
2693.0 
2670.7 
2625.6 
2496.2 
2372.2 



C[.-4] * 4 



2766.8 
2815.8 
2858.1 

28955 
2928.3 

2914.1 
2898.2 

2854 O 

2809.9 

27533 
2722.1 

2702.4 
2693.0 
2670.7 
2625.6 
2496.2 
2372.2 



5 or More. 
C. 



9784.9 
0815.8 
2858.1 

2895.5 
2928.3 

29IA. X 

2898.2 
2854.0 
2809.9 

27533 

2722.x 

2702.4 

2693 o 
2670.7 
2625.6 
2496.2 
2372.2 



138 



Sprague's Select Life Tables. 



SPRAGUE'S SELECT LIFE TABLES, THREE PER CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 








Age. 


Ml.l 


15 


200460 


16 


19857s 


17 


196323 


18 


193372 


19 


189633 


20 


184049 


SI 


17913* 


2S 


173670 
168598 


24 


163865 


25 


159448 


26 


155356 


27 


151572 


28 


148030 


29 


144648 


80 


141457 


81 


138391 


32 


135201 


83 


132125 


34 


129074 


85 


X 26125 


86 


123250 


37 


X 20460 


38 


117750 


39 


115116 


40 


I 12544 


41 


109989 


42 


107443 


43 


X04902 


44 


102325 


45 


997093 


46 


97087.1 


47 


94465.8 


48 


918745 
89276.7 


49 


60 


86701.6 


61 


84128.8 


62 


815574 


53 


789765 


54 


764177 


55 


738655 


56 


71281.5 


67 


68673.4 


68 


660x6.4 


59 


63305.6 



1 

M(.-,l>, 



198620 
19638 I 

193856 
190768 

186961 
182378 
176730 
171421 
166485 

161873 

157560 

153558 
149851 

146374 

143048 

139903 
136879 

133725 
130681 

127659 
124737 
121888 
119123 
116430 

1 13823 
111271 
108733 
106204 
103678 

101114 
98508.5 
958956 
93280.5 
90692.7 

880962 
85520.5 
8-f945a 
803688 
77780.9 

75213-5 
72651.1 

70055.9 
67436.0 
64767.4 




19638 I 
193056 

190833 

187234 

182934 
178132 

172800 
167773 

163087 
158693 

154570 
150732 

147165 

143808 

140583 
137526 

134576 

131489 

128503 

125535 
122661 

119857 
117136 

114487 
11x910 

109390 
10688X 

104377 

X01872 

993267 
96736.S 
941343 
91525 7 

889406 
86342.0 
837598 
8x174.2 
78583.6 

75978.3 
733897 
70802.7 

68x80.8 
655327 



8 


4 


5 or "ore. 


MU-,] + , 


M[.-4]+4 


M. 

1 






2006x4 






198620 






I96381 
193856 


193856 




190833 


190833 


190833 


187254 


187234 


187234 


182934 


182934 


182934 


178132 


I78132 


178132 


173217 
168201 


173217 
168298 


173217 
X68298 


163476 


163522 


163522 


159071 


159071 


159071 


154934 


154974 


154974 


151040 


151084 


151084 


147406 


147435 


147435 


144015 


144015 


144015 


14081 I 


1408X5 


1408x5 


137716 


137747 


137747 


134769 


134769 


134769 


131914 


131914 


131914 



X289XO 

1259Q5 
123089 

xao273 
117522 

XX4848 
X 12242 

109703 
107217 
104736 

102257 

99771-4 
97240.7 

94659.9 

92061.5 

89451.1 
86857.3 
84245.4 
81644.5 
790338 

76413-2 
73772.6 
711427 
68510.1 
6<;838 9 



129106 
126189 

123319 
X20458 

117692 

114994 
112378 
XC9828 

107333 
104S78 

1024x3 
99938.4 
97450.4 
94915 1 
92331 o 

89728.4 
87x12.1 
84508.9 
81883.2 
79262.3 

76627.1 
73978.4 

713049 
6863tf.o 

659455 



129106 
x 26242 

123395 
120565 

117755 

1x5027 
1x2578 

109835 
107538 

104887 

102454 
99989.S 
97496.9 
94980.1 
92419.2 

89818.8 

87205.5 
84582.3 

81973.0 
79338.3 

7670X.6 
74046.2 
71375.4 
686743 
65964.5 



Sprague's Select Life Tables. 



139 



SPRAGUES SELECT LIFE TABLES. THREE PER CENT.— Cm/. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



60 
61 
61 
6S 
64 

6S 
66 
67 
66 
69 
70 

71 
71 

71 
74 
76 
76 





Ml.) 



60538.1 
57716.2 
54889.8 
52138.0 
494124 

465213 

43665.9 
40843.9 

38066.8 

35305.1 
33544.6 

29770.9 
26995.2 
24240.0 
21597. X 
19060.6 



M[.-,] + . 



62045.7 
592686 
56439.0 
536063 
50848.9 

48120.3 

452326 

42384.2 

39573-5 
368x1 9 

340717 

313396 
28602.4 
25871.8 
23170.5 
20^87.0 
18x15.6 



M[.-,J + . 



62835.0 

60084.0 

57279.0 

54423-3 
51566.2 

48785.2 
46035.2 

43137 o 
40283.x 

374732 
347199 

31997.8 
292954 

26602.4 

23931 7 
21306. 1 
X8809.9 



8 

M[.-,J-»-, 



63x40.0 
60389.0 
57580.3 

54713-8 
51796. I 

48875.8 
46035.2 
43137.0 
40283.1 
37473-2 
347199 

31997-8 
29295.4 
26602.4 

23931.7 
2x306.x 
18S099 



M(.-4]+4 



632X3 7 
60446 9 

5763II 
547730 

5.1877s 

489493 
46035.2 

431.^70 
40283.x 
374732 
347199 

319978 

292954 
26603 4 

23931-7 

2x306. X 
X8809.9 



6 or More. 
M. 



63231.8 
60446.9 
57631.1 
547730 
51877.5 

489493 
46035.2 

431370 
40203.1 
374732 
34719-9 

319978 

292954 
26602.4 

23931-7 
21306. X 

18809.9 



140 



Spraglk's Selkct Life Tables. 



SPRAGUE'S SELECT LIFE TABLES. THREE PER CENT. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 



IS 
16 
17 
18 
19 

20 

SI 

ss 

St 
24 

26 
26 
27 
28 



SO 
SI 
S2 
9S 
S4 

U 
96 
S7 
U 
S9 

40 
41 
42 
4S 
44 

45 
46 
47 
4S 

49 

60 
61 
62 
63 
64 

66 
66 
67 
68 
69 





R[.l 


1 
R[«-i] + i 


2 

R[.-tl+. 


8 
Rl.-t]+t 


Rl.-«]+« 


6 or More. 
R« 




6552169 
6351664 
6153030 

5956159 
5761379 


6351709 
6153089 
5956707 
5762787 


6153089 

5956707 
5762852 


5956707 
5762852 


576285a 


6552323 
6351709 
6153089 

5956707 
5762852 




5569178 
5379065 
5195021 
5016851 
4844001 


5571746 
5384239 
5199934 
5021351 
4848253 


5572019 

5384785 
5201851 

5023204 

4849930 


5572019 

5384785 
5201851 

5023718 

4850404 


5572019 

538478s 
5201851 
5023718 
4850501 


5572019 

5384785 
5201851 
5023718 
4850501 




4676170 

4513170 
4354706 
4200311 

4049535 


4680136 
4516722 
4357814 

4203134 
4052281 


4681768 
4518263 
4359162 
42042S6 
4053283 


4682157 
4518681 
4359570 
4204592 

4053524 


4682203 
4518681 
4359610 
4204636 
4053552 


4682203 
4518681 
4359610 
4204636 
4053552 




3902426 
3758618 
3617024 

3478738 
3343364 


3904887 
3760969 
3620227 
3481823 
3346613 


3905907 
3761839 
3621066 
3483348 
3348098 


3906118 

3762099 
3621256 

3483540 
3348772 


3906118 

3483540 
3348772 


3906118 
3762103 
3621288 
3483540 
334877^ 




321 1282 
3082278 

2Q56334 
2833297 

2713100 


3214290 

3085157 
2959028 

2835874 
2715547 


3215932 
3086631 
2960420 
2837140 
2716751 


3216609 
3087429 
2961096 

2837759 
2717283 


3216858 

3087699 

2961434 
2838007 

2717486 


3216858 

3087752 
2961510 
2838115 

2717549 




2595628 
2480626 
2368104 
2258062 
2150330 


2597984 
2483084 

2370637 
2260661 
2153160 


25991 11 
2484161 
2371813 
2261904 

2154457 


2599615 
2484624 

2372251 

2262423 

2155023 


2599761 
2484767 
2372382 
2262548 
2155206 


2599794 
2484767 
2372389 
2262554 

2155215 




2044933 

1942077 

1841799 
1744256 

1649253 


2048005 
1945224 
1844990 

1747333 
1652382 


2049482 
1946891 
1846715 
1749094 
1654053 


2050080 

1947610 

1847564 

1749979 
1654960 


2050287 
1947823 
1847838 

1750323 
1^319 


2050328 
1947874 
Z847885 
1750388 
1655408 




1556960 
1467278 
1380224 
1295761 
1214069 


1559976 
1470258 

1383149 
1298667 

I 2 16784 


1561689 
1471880 

1384737 
13C0204 

I 2 18298 


1562527 

1472748 

1385538 
1300978 

1219030 


156S898 
1473076 
1385891 
1301292 

1219333 


1560988 

1473170 

1385964 
1301382 

1 219409 




1135083 
1058648 

984858.8 
913637 6 

845014 3 


1137651 
1061218 
987366.0 
916185.4 
847621.2 


I 139003 
1062438 
988566.8 
917310 I 
848749 4 


1139714 
1063025 

989047.8 

917764.1 
849129.3 


1139996 
1063301 

989252.3 
917905.1 

849254.0 


11^0071 

1063369^ 
9S9322.8 

9179474 
849273.1 



Sprague*s Select Life Tables. 



141 



SPRAGUE'S SELECT LIFE TABLES. THREE PER CEST—CofU. 
YEARS ELAPSED SINCE DATE OF INSURANCE. 



Age. 




RU] 


M 


7790252 


fl 


715722.8 


€2 


6553370 


68 


598171.0 


64 


5439316 


66 


492117.6 


66 


443276.8 


67 


3973610 


68 


354349.1 


69 

70 


314127.2 
276636.8 


71 


241830.5 


78 


909721.8 


78 

74 


180333.6 
153801.0 


76 


Z29983.2 


76 





R[.-i] + i 



781708.7 
718487. 1 
658006.6 
606447 2 
546033.0 

494519a 

445596.3 
399610.9 

356517. 1 
316282.3 

278822.1 

S44092.2 
212059.6 
182^.6 

156093 6 
132903.9 
1 10922. 6 



R[.-,l-»- 



782853.8 
719663.0 
659218.5 
601567.6 
546840.9 

495184. 1 
446398.9 
400363.7 
357226.7 

316943.6 
279470.4 

244750.4 
212752.6 

1834573 
156854.8 
132923.1 
111616.9 



3 

RL.-31 + . 



783216.7 
720018.8 
6595790 
601939.5 

547144.3 

495274.7 
446398.9 

400363.7 

357226.7 

3169436 

279470.4 

244750.4 
212752.6 

183457.2 

156854.8 

132923.1 

111616.9 



RU-4]+4 



783290.4 

720076 7 
6596298 
601998.7 

5472257 

495348.2 
446398.9 
400363 7 
357226.7 
316943.6 

2794704 

244750 4 
212752.6 

1834572 
156854 8 
132923.1 
111616.9 



6 or More. 
R. 



783308.5 
720076.7 
659629.8 
601998.7 
547225.7 

495348.2 
440398.9 
400363.7 
3572267 
316943.6 
279470.4 

244750.4 
212752 6 
1834572 
156854.8 
132923.1 
111616.9 



INTRODUCTION TO CRAIG'S MODIFIED ACTU- 
ARIES' TABLE FOR IMPAIRED LIVES. 

No experience table for impaired or sub-standard lives 
being available, James M. Craig, actuary of the Metropoli- 
tan Life Insurance Company, has modified the Actuaries' 
Table so as to answer in his judgment for impaired life 
purposes. The modification consists in doubling the rate 
of mortality to age sixty, after which it gradually declines 
toward the Actuaries' Table ratios. 

Mr. Craig developed the table, with commutation columns 
at four per cent, on this basis and published it in the papers 
of the Actuarial Society of America, reporting the pro- 
ceedings of the Society at its meeting on October 23 and 
24, 1890. 



Craig's Impaired Life Table. 



145 



Table No. I. 
CRAIG'S MODIFIED ACTUARIES* TABLE FOR IMPAIRED LIVES. 



Agb. 


Number 


Number 


Deaths 


Agb. 
66 


Number 


Number 


Deaths 


Living. 


Dying. 


Per 1000. 


Living. 


Dying. 


Per 1000 


10 


100.000 


1352 


13520 


40.071 


1736 


43328 


11 


98.648 


1339 


13572 


66 


38.335 


1773 


46.252 


18 


97.309 


1326 


13.624 


67 


36562 


1805 


49358 


18 


95.983 


13IS 


13.696 


68 


34.757 


1834 


52.772 


14 


94.668 


1306 


13792 


69 


32.923 


i860 


56492 


It 


93.362 


1297 


13.888 


60 


31.063 


1847 


59458 


16 


92.065 


1289 


14.006 


61 


29.216 


1829 


62 615 


17 


90.776 


1282 


14.124 


68 


27.387 


1808 


66.027 


18 


8Q.494 


1277 


14 268 


68 


25.579 


1781 


69.626 


19 


88.217 


1271 


14.412 


64 


23.798 


1749 


73487 


SO 


86.046 


1268 


14.582 


66 


22.049 


1711 


77.584 


81 


85.678 


Z264 


14754 


66 


20.338 


1665 


81.896 


88 


84.4M 


1260 


14.928 


67 


18.673 


X614 


86.476 


88 


iK^i 


1258 


15.128 


68 


17.059 


1556 


91.233 


84 


81.896 


1256 


15332 


69 


15.503 


1490 


96.139 


86 


80.640 


"53 


I.S.540 


70 


14.013 


1419 


101.295 


86 


79.367 


1252 


15774 


71 


12.594 


1343 


106.640 


87 


78.135 


1251 


T6012 


78 


11.251 
9.989 


1262 


I12.191 


88 


76.884 


1252 


16.278 


78 


II77 


117.912 


88 


75.632 


1252 


16550 


74 


8.812 


1091 


"3.85s 


80 


74.380 


"53 


16.850 


76 


7.721 


1003 


129.962 


81 


73.127 


"55 


17 156 


76 


6.718 


914 


136.198 


88 


71,872 


1257 


17.494 


77 


5.804 


828 


142.680 


88 


70.615 


1260 


17.838 


78 


4.976 


743 


149. 3SO 


84 


69.355 


1262 


18.190 


79 


4.233 


661 


156.078 


1 
85 


68.093 


1266 


18.576 


80 


3.572 


581 


162.871 


86 


66.827 


1268 


18 970 


81 


2.991 


507 


169.608 


87 


65.5S9 


1270 


>9-374 


88 


2.484 


437 


176.250 


88 


64.289 


1274 


19.812 


88 


2.047 


374 


182.950 


88 


63,015 


1277 


20.262 


84 


1.673 


317 


189.678 


1 

40 


61.738 


1279 


20.724 


86 


1.356 


278 


205.095 


41 


60.459 


1283 


21.224 


86 


1.078 


240 


222.480 


48 


59.176 


1289 


21.788 


87 


838 


202 


242234 


48 


57.887 


1303 


22.502 


88 


^2S 


168 


265.274 


44 


56.584 


1324 


23394 


89 


468 


136 


292.382 


4t 


55.260 


1350 


24.424 
25.678 


90 


332 


107 


322 892 


46 


53.910 


1384 


91 


225 


81 


360.000 


47 


52.526 


1420 


27.032 


98 


^1^ 


58 


402.778 


48 


51.106 


1458 


28 520 


93 


86 


39 


453488 


49 


49.648 


1495 


30 122 


94 


47 


24 


510.638 


60 


48.153 


1535 


31.876 


96 


23 


13 


565.217 


61 


46.618 


1575 


33.796 


96 


10 


6 


600.000 


68 


45.043 


1617 


35.894 


97 


4 


3 


750.000 


68 


43426 


1658 


38.186 


98 


I 


I 


1000.000 


64 


41.768 


1697 


40.626 











NORTHAMPTON TABLE OF MORTALITY. 

The most commonly employed of the mortality tables 
embracing unselected lives has been the Northampton, 
adapted from mortality statistics of the English town of 
that name by Dr. Price. It is now used only for computa- 
tions involving impaired lives or in computing the values 
of annuity interests, dowers, etc., in the courts. For the 
latter purpose it is the standard in New York at five per 
cent interest and in many other States at six per cent or 
higher. Therefore we depart from our custom and give 
annuity tables at from three per cent to eight per cent 
interest, as well as commutation tables at three per cent 
and four per cent. Joint-life annuities at several rates of 
interest are also given. These will be found useful to 
attorneys in computing values of life remainders, etc. 

We also give annuity commutation tables at five per cent, 
computed especially for this work by Mr. G. L. Plumley, 
assistant actuary of the Home Life Insurance Company of 
New York, and kindly contributed by him. 

The commutation table at four per cent is furnished by 
the kindness of Samuel C. Beckley, superintendent of 
Actuarial Department, New York Life Insurance Com- 
pany, having been computed under his supervision for the 
use of the office. The three per cent commutation tables 
and annuity tables are from ** David Jones.'* 



Northampton Table. 



151 



Table I. 
NORTHAMPTON TABLE OF MORTALITY. 



< 



If 
1] 
IS 
II 
1^ 

u 
II 
n 
u 

19 

SO 
SI 

ss 
ss 

S4 

S6 
S6 
S7 
SS 
S9 

SO 
SI 

ss 
ss 

S4 
SS 
S6 

S7 
SS 

ss 

40 
41 
4S 
M 
44 
4S 
4€ 
47 
4S 



Living. 


Decre- 
ments. 


11.650 


3.000 


8,650 


i.367 


7.283 


502 


6.781 


335 


6.446 


197 


6,249 


184 


6,06s 


140 


5.925 


no 


5.81S 


80 


5.735 


60 


5.675 


52 


5.623 


50 


5.573 


50 


5.523 


50 


5.473 


50 


5.423 


50 


5.373 


11 


5.320 


5.262 


63 


5.199 


67 


5.132 


72 


5.060 


75 


4.985 


75 


4.910 


75 


4.835 


75 


4.760 


75 


4.68S 


75 


4.610 


75 


4.535 


75 


4.460 


75 


4.385 


75 


4.310 


75 


4.235 


75 


4,160 


75 


4.08s 


75 


4.010 


75 


\W, 


75 
75 


3.785 


75 


3.710 


75 


3.635 


76 


3.559 
3.48a 


77 
78 


3.404 
3.320 


78 
78 


3.248 


78 


3.170 


78 


3.092 


78 


3.014 


78 



Propor- 
tion 

Which 
Die. 



2575" 
158035 

068928 

049403 

030562 

029445 

02^4 

018565 

013757 
010462 

009163 
008893 
008972 
009053 
009136 
009220 
009864 
010902 
01 1972 
012887 

014030 
014822 

015045 

015275 
015512 

015756 

016009 

016269 

016538 

016816 

017104 
017401 
017710 
018029 
018360 
018704 
019060 
019430 
019815 
020216 

020908 
021635 
022401 
022914 
023452 
024015 
024606 
025227 
025879 



Propor- 
tion 
Which 
Survive. 



742489 
841965 

931073 

950597 
969438 

970555 
976916 

981435 
986243 

989538 

990837 
991 108 
991028 

990947 
990864 

990780 

990136 

989098 

988028 

987113 

985970 
985178 

984955 
984725 

984488 

984244 

983991 

983731 
983462 

983184 

982896 
982599 
982290 
981971 
981640 
981296 
980940 
980570 
930185 
979784 

979092 

978365 

977599 
977086 

976548 

975985 

975394 

974773 
974121 



V 

< 



49 
60 
61 
6S 
6S 
64 
65 
56 
57 
5S 

69 
60 
61 
62 
6S 
64 
66 
66 
67 
68 

69 
70 
71 
78 
78 
74 
76 
76 
77 
78 

70 
SO 
81 
88 
8S 
84 
86 
86 
87 
88 

89 
90 
91 
98 
93 
94 
96 
96 



Living. 



2.936 

2.857 
3.776 

2.694 

3,612 

2.530 
2.448 
3.366 
2,284 
3,302 

3,120 
2,038 

1.956 
1.874 

1.793 
1. 712 

1.632 

1.552 
1.472 
1.392 

1.3" 
1.232 

1. 152 
1,072 

992 

>I2 

J32 

752 

675 
602 



r 



534 
469 

406 

346 
289 

234 
186 

145 
III 

83 

62 
46 
34 

^ 

9 

4 
I 



Decre- 
ment*. 



79 
81 
82 
82 
82 
82 
82 
82 
82 
82 

82 
82 
82 
81 
81 
80 
80 
80 
80 
80 

80 
80 
80 
80 
80 
80 
80 

77 

73 
68 

65 

63 
60 

57 
55 
48 
41 
34 
28 
21 

16 

12 

10 

8 

7 

5 

3 

I 



Propor- 
tion 

Which 
Die. 



026908 
02833 z 

029539 
030438 
031394 

0324 I I 

033497 
034658 

035903 

037239 

038679 

04023s 

041922 

043223 
045176 

046729 
049020 

051546 
054348 
057471 

060975 
064935 
069444 

074627 
080645 
087719 

096154 

102393 
I08I48 

112957 

121723 

134328 

147783 
164740 

1903 I I 
205128 
220430 

234483 

252252 

253012 

258065 
260869 
294II8 

333333 
437500 

555556 
750000 



Pfop'.r- 

tion 
Which 
Survive. 



.973092 
.971649 
.970461 
.969562 
.968606 

.967589 
.966503 

•965342 
.961098 
.962761 

.961321 

.959765 
•958078 

•956777 
•954824 

•953271 
.950980 

•948454 
•945652 
.942529 

•939025 

.935065 

•930556 

•925373 

91935s 
.9x2281 

.903846 

.897607 

.891852 

.887043 

.878277 
.865672 
.852217 
.835260 
.809689 
.794872 
.779570 
•765517 
.747748 
.746988 

.741935 

•739131 
.705882 

.666667 

.562500 

.444444 

.350000 



NoRTHAMPTuN Table, 



NORTHAMPTON. FOUR PER CENT. 



_"■_ 


D. 




s. 




ii6so. 


130330.4448446 


30(0147 3393393 




8317.3076800 


113003.1371646 


.S898J6.sJi3ai7 




6733.5438774 


105369.5943872 


1 777823. 7573301 




S*o:Ss; 


99341.3099700 


1^71551 "6*933^ 




93731*431613 






5136,3315104 


8S595 0196509 






4793a5?6j4S 


83801.7630164 


13909SO.59IIS07 
13071 84. S39I 343 




4503.5130353 


79»99»4899ll 




4348.96357'" 


7SoS<>-»854'99 


1327885.570 143' 




40«»- 3349539 


7io30.95a»66o 


.152835.3947333 




38338366658 


67187-1338003 


loSifiiJ i442';7i 




3<55aM3S694 




10146;? 2204571 




3480.S793597 




1J5IOIJ2 6002263 




3316.9706991 




391039.0393552 




3160.5311138 


53576. IS903?» 


83430= 3591833 






•plf^l 


^^736.^13^. 








IT 




^P.l^^ 


682464. 9()94»37 


IS 


=597.4711674 


637499. 8440B9I 




3467.665^16 


39899.9883356 


595133. 1S99319 




3343,1778374 


37557-8103983 


555233.3016963 




I330.49B0160 


3S337.3"3»= 


.117674.3913981 


M 


3103.4476193 


31341 ^T^lSa? 


4B2337 0789159 


M 


1992-"6"B03 






1886,3373075 


»93S5 5iH75=' 






'785,5559680 


SfefUSS 


iSSSSS 




1689,3390436 




'S98 8343877 


34381.3017769 


336055.8751333 




1513.3303365 


33768.9814504 


311774-5733463 
289005.59.6959 


a» 


1430.1053886 


3i33B.87«ioiS 


M 


I3S' 9773680 


19996-8987938 


■ =67666,7157341 




1377.7437306 


I8709 1550733 


sffiSXf 




1307.3303759 


17501.9346973 




1x40.3317473 


16361.7039501 


3.1458-7371698 




1076.6103877 


1538-0936624 


195097.0343197 




1016. 1960347 


.4«>8 B966377 


179811.9315573 


w 


9S8.B364Vi3 


13310.0602145 




n 


904.3858410 


1 3 ,05 6743735 


,53333 9747'5i 


■1 


85i-7o53S»6 


SIS 


139837.3003416 


31 


803 6634631 


128374.3313207 


«<. 


7S7"3o66<M 
713. 7891539 


9993.1758974 
9379.3867445 


'^S3'-8^8655 




670.5459^3 
630 3135538 


86=8.8408382 






14 


593.183.601 




8.666.0939974 


4S 


556-0534357 




74379.7468731 




531.8359361 


giS 


67449.4531835 




489.4096755 


61140.9854391 




458.7-50066 


4930.^55430 


55331.9373513 


40 


439-6575383 


4<«wi.5a43;o9 



Northampton Table. 



153 



Table II.— Coni. 
COMMUTATION TABLE, NORTHAMPTON, FOUR PER CENT. 



Age. 


C. 


M. 


R. 





2884.6153800 


65742136525 
3689.5982725 


49S43.2222343 


1 


1263. 8683391 


42969.0085818 


2 


446.2761727 


2425.7299334 


39279.4103093 


3 


286 3594037 


1979-4537607 


36853.6803759 


4 


1 61. 9196407 


1 1693.0943570 


34874.2266152 


6 


145.4178735 


15311747163 


33181.1322582 


6 


106.3884934 


1385 7508428 


31649.9575419 


7 


80-3759231 


1279.3683494 


30264.2006991 


S 


56.2069392 


1198.9924263 


29984.8323497 


9 


40.5338502 


1142.7854871 


27785.8399234 

i 


10 


33.7782084 


1102.2516369 


26643 0544363 


11 


31 2298526 


1068.4734285 


25540.8027994 


IS 


30.0287045 


1037.2435759 


24472.3293709 


IS 


28.8737540 


1007.2148714 


23435.0857950 


14 


27.7632250 


978.3411174 


22427. 8709236 
21449.5298062 


15 


26.6954090 


950.5778924 


16 


27.2087823 


923.8824834 


20498.9519138 


17 


286304310 


1 896 673701 1 


^95750694304 


18 


29.9024725 


! 868.0432701 


18678.3957293 


19 


30.5779257 


838.1407976 


17810.3524592 


SO 


31.5960192 


' 807.5628719 


16972.2116616 


SI 


31.6466543 


775.9668527 


16164.6487897 


S8 


30.4294748 


744.3201984 


15388.6819370 


S8 


29.2591103 


713.8907236 


14644.3617386 


S4 < 


28.1337600 


684.6316133 


13930.4710150 


S5 


27 0516923 


656.4978533 


13245.8394017 


S6 


26.0112428 


629.4461610 


12589.3415484 


S7 


25.0108103 


603.4349182 


"959.8953874 


88 


24.0488558 


578.4241079 


11356.4604692 


S9 


23.1239003 


5543752531 


10778.0363613 


SO 


22.2345195 


531.2513518 


10223.6611092 


SI 


21.3793455 


509.0168323 


9692.4097574 


as 


20.5570628 


487.6374868 
467.0804240 


9183.3929251 


ss 


19.7664068 


86957554383 


84 


19.0061603 


447.3140172 


8228.6750143 


S6 


18.2751540 


428.3078569 


7781.3609971 


99 


17.5722638 


410.0327029 


7353.0531402 


87 


16.8964073 


392 4604391 


6943.0204373 


88 


16.2465458 


375.5640318 


6550.5599982 


89 


15.6216781 


359.3174860 


61749959664 


40 


15.2211227 


3436958079 


5815.6784804 


41 


14.8282696 


328.4746852 
313.6464156 


5471.9826725 


48 


14.4431196 


S1435079873 


48 


13.8876153 


299.2032960 


4829.8615717 


44 

46 


133534760 
12 8398811 


285.3156807 
271.9622047 


4530.6582757 
42493425950 


46 


12.3460397 
11.8711912 


259.1223236 


39733803903 


47 


246.7762839 


3714.2580667 


48 


11.4146074 


234.9050927 


3467 4817828 


49 


1I.1162970 


223.4904853 


3232.5766901 











154 



Northampton Table. 



Table II.— Cm/. 
NORTHAMPTON, FOUR PER CENT. 



Age. 



60 
61 
62 
6S 
64 
66 
66 
67 
6t 
69 

M 
61 
6t 
6S 
64 
66 
66 
67 
6S 
69 

70 
71 
72 
72 
74 
76 
76 
77 
72 
79 

20 
21 
22 
22 
24 
26 
26 
27 
22 
29 

90 
91 
92 
92 
94 
96 



L». 



402.0159553 
375-5944378 
350.48-5637 
326.7429160 
304.3127769 
283.1246885 
963.1162825 
244.2281657 
226.4037607 
209.5891784 

193-7330952 

178.7866739 
164.7033863 

151.5234716 

139 "37474 
127 5125990 
z 16.5980662 
106.^144685 
96.0879024 
87.6260922 

79.1183008 

71.1353318 
05 6494104 

56.6340835 

50.0342491 

43.9160134 

38.1666546 

32.9409923 

28.2485430 

24.0939198 

203472508 

16.9365742 

13 8784925 

II 1462994 

8.6779134 

6.6325275 

4.9710527 

3 6595057 
2.631 1415 

1.8898376 

1.3482094 

0.9581754 
0.6503453 

0.4168880 

0.2254803 

0.0963591 

0.0231633 



Nt 



4528.6695877 

4153075x499 
3802.5945862 

3475 8516702 

3171 5388933 
2888.4142048 
2625.2979223 
2381.0697566 
2154.6659959 
1945.076817s 

1751-3437M3 

1572-5570484 
1407.8536601 

1356 3301905 
II17.2164431 

989.7038441 
8731057779 

7667713094 

670.0834070 

582.4573^8 

503.3390140 
432.2036822 
368.5542718 
311.9201883 
261.8559392 

2»7.9399258 
179-7732712 
146.8322789 
"8.5837359 
94.4898161 

74.1425653 
57-2059911 

433274986 

32.1811992 

23.5032858 

16.8707583 

11.8991056 

8.2395999 

S.6oa4584 

3.7180208 

2.37041 14 
Z.4122360 
.7618907 
.3450027 
.1195224 
.0231633 
.oooooco 



45030.^87369 
40502.229x492 

36349-1539993 
32546-5594131 
29070.7077429 
25899.1688496 

23010 7546448 
20385.4567225 
I80Q4.3869659 
15849.7209700 

I3904.644I525 

12153-3004302 

I0580.74338I8 

9I72.8897I97 

7916.5595292 
6799.3430861 
5809.6392420 

4936-5334641 
4169.7621547 

3499.6787477 

2917.2214329 
24I3. 8824189 
I98I.6787367 
I6I3. 1244649 
Z30I.2042766 

1039.3483374 

821.^084116 

641.6351^ 
49A.80286I5 
370.2191256 

281.7293095 
207.5867442 

150.3807531 
107.0532545 

748720553 
51.3687695 

34.4980112 
2*5989056 

143593057 
8.7508473 

5.0322265 
2.66I8I5I 

I.249579I 
.4876884 

.LI26857 

.0231633 
.0000000 



Northampton Table. 



155 



Table U.—Coftt. 
COMMUTATION TABLE. NORTHAMPTON, FOUR PER CENT. 



Age. 



60 
tl 
M 
ftS 
M 
M 
M 

n 

68 
69 

60 
61 
61 
6S 
64 
66 
66 
67 
66 



70 
71 

71 
7t 
74 
76 
76 
77 
78 
79 

10 
81 
69 
89 
94 
86 
86 
87 
89 



90 
91 
99 
99 
94 
96 
96 



C. 



10-9593478 

10.6679310 

xo. 257^60 

9.863IOI9 

9.4837518 

9.1189920 
8.7682616 
8.43I02II 
8 1067512 
7.7949528 

7.4951460 
7.2068718 
6845176^ 
6.5819004 
6.2506176 
6.0103096 
5.7790472 
S-5567760 

5-3430544 
5.1375520 

4-9399536 
47499560 
4.5672648 
4.3916008 
4.2226936 
4.0602824 

37577132 
3.4254878 
3.0681396 
2.8199816 

2.6280891 
2.4066751 
2. 198405 1 
2.0396805 
1.71 16200 

1-4057777 
1. 1209297 

.8876140 

.6^01063 

.4689424 

.3381796 
.2709772 
.2084440 

•1753736 
.1304489 
.0694898 
.0222724 



M. 


R. 


212.3741883 


3009.0862048 


201.4148405 

190.7469095 
180.4892835 


27967120165 


2595-2971760 


2404.5502665 


170.6261816 


2224.0609830 


161. 1424298 


2053-4348014 


152.0234378 


1892 2923716 


143.2551762 


1740.2689338 


1348241551 


15970137576 


126.7174039 


1463.1896025 


118.9224511 


133S.4721986 


1 11.4273042 


1216.5497475 


104.2204324 


1 105. 1224433 


973752560 


1000.9020109 


90.7933556 
845427380 


903.5267549 


812.7333993 


785325284 


728.1906613 


72.7534812 


649.6581339 


67.1967052 


576.9046517 


61.8536508 


509-7079465 


56.7160988 


447.8542957 


51.7761452 


391.1381969 


47.0261892 


339.3620517 


42.4589244 


293.3358625 


38.0673236 


249.8769381 


33.8446300 


211.8096145 


29.7843476 


177.9649845 


26.0266344 


148.1806369 


22.6011466 


122 1540025 


19-5330070 


99-5528559 


16.7130254 


80.0198489 


14.0849363 


63.3068235 


1 1. 6782612 


49 2218872 


9.4798561 


37-5436260 


7.4401756 


28 0637699 


5.7285556 
43227779 


20 6235943 
14.8950387 


3.2018482 


10.5722608 


2.3143342 


7.3704126 


I.6741279 


5.0561784 


1.2051855 


3.3820505 


.8670059 
.5960287 


2.1768650 


1.3098591 


.3875847 


.7138304 


.2122111 


.3262457 


.0917622 


.1140346 


.0332724 


.0222724 



156 



Northampton Table. 



Table III. 

COMMUrATION COLUMNS, NORTHAMPfON TABLE. 

THREE PER CENT. 



Age. 




1 

s 

3 
4 

5 
6 

7 
8 
9 

10 
11 
12 
13 
14 
16 
16 
17 
18 
19 

20 
21 
22 
23 
24 
25 
26 
27 
28 
29 

30 
31 
32 
83 
34 
36 
36 
87 
38 
39 

40 
41 
42 

43 
44 

46 
46 

47 



J>. 



11650.000 
8398.058 
6864.926 
6205.576 
5727.188 
5390.442 

5079342 
4817.567 

459041S 
4395-400 

4222.733 
4062.175 
3908.790 
3760.894 
3618.298 
3480.817 
3348.276 
3218.688 
3090.870 
2964.917 

2841.464 
2719999 
2601.634 
2487.856 
2378.500 
2273 403 
2173.410 

2075.37a 
1982.143 

1892.585 

1806.562 

1723945 
1644.607 

I568.4'29 

1495 293 
1425.087 

1357703 

1293034 
1230.981 

1171.446 

i"4-334 
1059.258 

1006.156 
954968 
905908 
858.897 
8i3.85«> 
770.708 




143947.351 

134549.293 
127684367 

12 1478.791 

115751.604 

110361.161 

10528 1. 819 

ioo464.2<;2 

95873837 
91478.437 

87255.705 
83193530 
79284.740 

75523.846 
71905.548 
68424.731 
65076.455 
61857767 
58766.897 
55801.980 

52960.516 
50240.516 
47638.882 
45151.026 
42772.526 
40499.124 
38326.714 

36251.343 
34269.199 

32376.615 

30570.053 
28846.108 

27201.501 

25633072 

24137.779 
22712.691 

21354988 

aoo6i.954 

18830.973 
17659.528 

16545.194 

154859^ 
14479. 

13524.811 

12618.903 

11760.007 

10946.152 

10175.444 



2719587.3 
2576639.9 

2442090.7 

2314406.3 

2192927.5 

20771759 
1966814.7 

1861532.9 

1761068.7 

1665^94.8 

1573716.4 
1486460 7 
1403267.2 
1323982.4 
1248458.6 
11765530 
1108128.3 
104305 1. 8 
981 194. 1 
922427.2 

866625.2 
813664.7 
763424.2 

715785.3 
670634.3 

627861.7 

587362.6 

5190359 
512784.5 

4785153 

446138.7 

4 '5568. 7 
386722.6 

359521. 1 
333888 o 
309750.2 
287037.5 
265682 5 
245620.6 
226789.6 

2091^.1 
192584.9 
177099.0 
162619.2 

149094.4 
136475.S 
124715.5 
"37693 



7147. 166 

4234544 
2946.015 

2486.614 

2x88.971 

2019.037 

1864.940 

1751.107 

1664.272 

1603.958 

1558.313 
1520.747 

1485.678 

1451.630 

14T8.574 

1386.481 

1355.323 
1323.257 

1289.188 

1253.260 

1216.164 
1177.460 
I 138.318 
1 100.317 
1063.422 
1027.601 
992 8241 

9^90599 
926.3791 

894.4531 

863.5541 

8335551 
804.4298 

776 1528 
748.6994 
722.0456 
696.1682 
671.0445 
646.6525 
622.9710 

599.9792 

577.3595 
555.1096 

533-2273 
511.9823 

491-3561 

471.3307 
451-8885 



70883.26 
6373009 

59501.55 

56555 53 
54068.92 

5187995 
49860.91 

47995.97 
46244.87 
44580.59 

42977.64 
41419.32 
39898.58 
38412.90 
36961.27 
35542.69 
34156.21 
32800.89 
3H77.63 
30188.44 

28935.18 
27719.02 
26541.56 
2540324 
2430293 

2323950 
32311.90 
21219.08 
20360.02 

19333-74 

18439.29 

17575-73 
16743.18 

159.^7.75 
15161.59 

14412.90 

13690.85 

12994.68 

12323.64 

11676.98 

11054.01 

1045403 

9876.67 

9321.57 
8788.34 
8276.30 
7785.00 

7313-67 



Northampton Table. 



157 



Table III.—G?*/. 

COMMUTATION COLUMNS, NORTHAMPTON TABLE. 

THREE PER CENT. 



Age. 


D. 


N. 


S. 


M. 


R. 


48 


729.384 


9446.059 
8756.245 


1035939 


433.0126 


6861.780 


49 


689.814 


94147.80 


414.6865 
396.6660 


6428.768 


SO 


651.702 


8104.543 


85391.56 
77287.01 


6014.081 


61 


614,782 


7489762 


378.7275 


5617.415 


6S 


579244 


6910.517 


6979725 


361.0965 


5238.688 


63 


545256 


6365.262 
5852.506 


62886.73 


343-9:'yo 


4877.591 


64 


512756 


56521.47 


327.3600 


4533.612 


66 


481.686 


5370.820 


';o668.97 


311.2251 


4206.252 


66 


451.991 


4918.829 


45298.15 


295.5601 


3895.027 


57 


423.618 


4495-211 


40379.32 


280.3512 


3599.467 


68 


396.514 


4098.697 


35884.11 


265.5855 


3319.116 


69 


370.629 


3728.068 


31785.41 


251.2498 


3053.530 


80 


345.916 


3382.152 


28057.34 


237.3317 


2802.281 


61 


322.328 
299. S21 


3059.824 


24675.19 


223.8190 


2564949 


68 


2760.004 


21615.37 


210.6998 


2341.130 


6S 


278.506 


2481.497 


18855.56 


198.1180 


2130.430 


64 


258.179 


2223.217 


16373.87 


185.9027 


1932.312 


66 


238946 


1984 371 


14150.55 


174.1896 


1746 409 


66 


220.615 


1763.756 


12166.18 


162.8177 


1572.220 


67 


203.149 


1560.608 


10402.42 


151.7770 


1409.402 


68 


186.512 


1374095 


8841.81 


141.0579 


1257 625 


69 


170.673 


1203.422 


7467.72 


130.6510 


1116.567 


70 


155.598 


1047.824 


6264.30 


120.5472 


985.916 


71 


141.257 


906.5667 


5216.47 


110.7377 


865.369 


72 


127.619 


778.9479 


4309-91 


101.2139 


754.631 


78 


114655 


' 664 2927 


3530.96 


919675 


653.417 


74 


102.339 


561.9540 


2866.67 


82.9904 


561.450 


76 


90.6425 


47i.3"5 


2304.71 
1833.40 


74.2748 


478.460 


76 


79.5405 


391.7710 


65.8130 


404.185 


77 


69.3167 


322.4543 


1441.63 


57.9058 


338.372 


78 


60.0196 


262.4347 


1 1 19. 18 


50.6277 


280.466 


79 


51.6893 


210.7454 


856.74 


440455 


229838 


80 


44.0751 


166.6703 


646.00 


37.9370 


185.793 


81 


37.0434 


129.6269 


479.33 


32.1889 


147.856 


88 


30.6495 


98.9774 


34970 


26.8740 


115.667 


88 


248547 


74.1227 


250.72 


21.9718 


88.793 


84 


19.5384 


545843 


176.60 


17.3795 


66.821 


86 


15.0781 


39.5062 


122.01 


13.4883 


49.442 


86 


II.4121 


28.0941 


82.51 


10.2614 


35.953 


87 


8.4817 


19.6124 


54.41 


7.66344 


25.692 


88 


6.1574 


13.4550 


34.80 


5.58622 


18.029 


89 


44655 


8.9895 


21.3s 


4.07368 


12442 


90 


3.2166 


S.7729 


12 36 


2.95484 


8.369 


91 


2.3083 


3.4846 


6.584 


2.14015 


5.414 


98 


1.5819 


1.8827 


3.100 


1.48101 


3.274 


98 


1.0238 


.8589 


1. 217 


.969059 


1.793 


94 


5591 


.2998 


•3583 


.534150 


.8236 


96 


•2413 


.0585 


.0585 


.232548 


.2894 


96 


.0585 


.0000 


.0000 


.056858 


.0569 



Northampton Table. 



Ak.. 


u. 


N. 


At,. 


I,. 


N. 
















66058957 


gg 


n 


2688316 


a8<«6873 

=550.5462 




5857.6838 






330 5301 


2337-9962 




m:s. 


77497-3610 




213.0856 


3114.9106 




7260.. io6n 




196 7616 
ill 5091 
.67 3630 


191B.1490 




4535;^ 


680753^96 
63864 S3>7 


11 


;gs 




3935-8205 


5992e.70"e 


M 


153.9622 


1415,4147 




3696 S3" 


5&=3'.8696 


»7 


■41.5488 


1373-8660 


IS 


34839577 


53747.91 19 


»■ 


1299685 


11438975 


,j 


3387.651ft 


494*02603 


w 


119 1701 


1034.7275 




31033549 


463S700S4 
4j,a8.oW 




.09.J054 


915-622, 


u 


^6.9648 




99.7390 


8158930 


14 


=76413*9 


40663. B037 




909983 


734.8948 




»6o8 55i7 


38055.2480 




82.9191 


641-9757 




SigS 


35593-BM8 




6ii!js67 


566.5737 




33372,7164 




49a IIOO 




aiS6 4697 


31086.3467 






tvs 




»057-4»9 


^9028.82^8 




56.0047 


10 


1934.19^8 


27094.6240 


«e 


50.4391 


329- 6714 




1816.2483 


25278 3B07 


68 


45=764 


384-3949 




170+.1J.6 


23574 259' 




40.4911 


3439038 




1598 5S5I 


21975.7040 




36-0589 


3078419 




1499 '783 


20476 5=57 






175-B880 




140564" 


.5070 1845 






147-7241 


>8 


1317.6128 


'7753 "717 






133 o6m 


tr 


1831 7808 


16518 49=9 




114353 


1016392 


u 


"56 8497 


1536! 64" 


76 


'84430 


83..9t3 


M 


10B3.5406 


14278.1006 




15.7662 


67.4300 


U 




1 3263. 5105 


7» 


.3-39'6 


54-03843 


tl 


940-7493 


.2313.7611 


79 


11-3132 


4*J>5>0 




8897832 


11424.9779 


ID 


9.46300 


33.36330 




8-414698 


.0593 S081 




7-B0.77 


35.46044 




777 5994 


93l59°88 
9086,9348 


M 


6 33318 


1912825 




7369740 


BS 


5 03716 






6794069 


8409.5279 


14 


3B8432 


1030677 




634 7='S 


7774-8063 










S9»75'3 


7182.0550 


16 


218317 


5-08309 


M 


533 3390 


6638,7161 




1.59167 


3-491415 


40 


516 336" 


6112,3800 


IS 


1-13350 


2.357019 




431.4671 


5630 912a 


19 


8063S8 


1.551531 




448.6196 


518a ?93J 


»a 


-56979S 




41 


417.6858 
388.6808 


4764-6075 
4.'7S 9^7 


M 


■^69647 


3?^ 




336.co9( 


4014.4356 
3678,4263 


14 


0917167 


:« 




313 .3W 


3366.2912 




.03BM319 


-o°W33 


*» 


.8,7723 


3076 5189 


M 


-0092433 





NoRiHAMI'TON TaI 



NORTHAMPTON TABLE OF MORTALITY. 
Value of Annuities, first pajrmvnt due in one ytat, computed at dilTerent ra 





ThnK 


Four 


Fl™ 


Sii 


SEven 




Thr« 


Four 


tire 


Si> 


Seven 


i 


PR 




p" 






£ 


P™ 


P°« 


Per 






■< 


C«I. 


C...>. 


c™. 


Cem, 


c.;;. 




Ce-l, 


Cent. 


Ceni. 


C«.. 


Crm 




16.™ 


"347 


11,56 


10,11 


8.96 


~ 


.2.69 


11.48 


10.44 


9.56 


E.Bo 




ie.fr> 


15.63 




■ll!7a 






ia.44 


.11.26 




9.43 






1958 


16.46 




'=35 






la.ia 






937 


8:56 










"77 


1 131 




l'-93 


■O-Bs 


9.93 


ts 


844 




ao.47 




"4 83 


1196 


I" 49 






10,64 


9-75 


83' 




»73 


1748 


1504 


.316 


11.67 


M 


11.41 


10.43 


957 


B.B3 


8.IS 




9085 


■7.61 


<S'7 


IjaB 


11.78 


a 


11.15 




93B 


B.67 


B.OS 




».89 




"5-13 


"3.34 


1184 




io,BB 


'9^98 




8.5" 


79" 




ao,Bl 


'7-63 


iS.ai 


"334 


11,85 










8.34 


777 


10 


ao-M 


'7 5' 


15.14 


■3=9 


11 81 




"■34 


9 5» 






763 




9048 


'7 39 












9,a8 




B^oo 


7 47 


It 


33. 18 


"7-15 


"494 


"3- '3 


ii-6g 


40 


'976 




839 


7.83 






ac.oB 


17.11 


■4-83 


1304 






949 




8 18 


764 






1987 


■6-95 


14.7' 


"-95 


"55 


a 


9,31 


8-55 


7-97 


745 


18 




1966 




■4.59 


13.36 


1147 


83 


8,91 


8-a9 




735 




1944 


It-^ 


1446 


1*76 




M 


8,61 


8.03 






664 






16.46 


"■1-33 


11.66 


IlijO 




8.30 


7-76 


7.JB 


684 


6.45 






163. 


I4.aa 


12.56 


11,23 




799 


7-49 


7.03 


663 


e.36 






16.17 




1J,,S 


11, 16 




7 68 




6.79 




6,o5 


10 


18.64 


1604 






11,09 




7-37 


6:93 


6 54 


618 


586 


11 




'501 


'if. 


I=-33 




et 


70s 


6.65 


oiB 


5-95 


565 




I33I 






'099 




6,73 


6,36 


6.03 




5'43 




1815 

17.9! 


1568 


"3 75 


la.so 


10,94 




6,4= 


6,08 


S-7& 


:lt 


5" 




1SS6 


.366 


iai3 


10.89 




6,10 




550 








I?8. 


"5 44 


1357 


iao6 


IQ.84 




5 79 


5 5" 






478 


IS 


17.64 


■5-3= 


"3-47 


11.99 


.078 




5-49 


iS 


499 


'■n 




BT 


1747 




.338 








5-ao 


4-74 


,54 




U 


.7.39 


15:06 


13=8 


"» 






4 93 


■'■^6 


451 


4-33 


4 ."'5 


u 




14.9a 


l3-"8 






4-65 




4.3B 




3-oS 


M 


leiea 


14-78 


'307 




■054 




437 




4.04 


3^88 


3 7-1 


11 


'f>-f3 


14.64 


":g 




10.47 


TS 


40E 




3.78 


364 


3 5' 




16.54 


14.50 


11,51 






378 






330 


338 




III* 


1435 


"74 


11.4a 


10.33 




350 


338 


3:36 


3.16 


3.ce 








ia.6a 


11,33 


10.16 




3=3 


3.1a 


3.01 


3.93 


3,84 




"594 




1=50 




10 iS 




a.gi 


a89 




371 


3,63 


K 


«573 


13,88 


"».38 












a.63 


5 55 


3,4! 


«7 


■55" 


13-7a 


laaS 


li.at 








= 54 


=■47 


340 


a-34 


U 


1530 


13-SS 




'093 


994 








a-33 


a. 37 




« 


1508 


1338 


Ii:,! 


10,8a 


98S 


B7 


a. 31 


a: as 


a 19 






m 


'-I. as 


1330 


11.84 


10,71 


9-75 


ss 


a. 19 




a.oS 










13.0a 






9.66 






"97 








11 


ilTi 


;ia 


I' 55 


■0:47 


9 5* 






1.76 




1.69 






II 41 


10.36 


9-47 




1-50 


147 


"■45 


1.43 


140 




1393 


ia.47 


II. a6 




9-37 


9» 


1.19 




1.15 






u 


1369 








9=6 




.64 


'^83 


-Ba 


!8i 


.80 


It '3 45 


II 09 




998 


9. IS 




■54 


53 


5" 


-5' 


■S" 




II 89 




985 


904 


Bi 












« 


.2.9s 


1169 


io.6a 


971 


893 















i6o 



Northampton Table. 



Table VL 
JOINT LIFE ANNUITIES— TWO LIVES. 



Ages. 



Older. 


YouDKcr. 


1 


1 


S 


2 


8 


8 


4 


4 


5 


5 


6 


1 
6 


7 


2 

7 


8 


3 
8 


9 


4 
9 


10 


5 
10 


11 


1 

9 

11 


IS 


2 

7 
12 


18 


3 

8 

13 



14 



15 



16 



4 

9 

14 

5 
10 
15 

1 

6 

11 

16 



Four Per 
Cent. 



17 



8.252 
1.107 

2325 
3.185 

3-591 

0.741 
4005 

2.581 
4.224 

3319 
4-399 

3-775 
4396 

3-933 
4.277 

0782 
4.068 

4133 

2.438 
4.111 
3.966 

3.019 
4.089 

3789 

3-374 
3-992 
3604 

3-479 
3.841 

3 4" 

0.406 
3578 
3.664 

3-212 



1 1. 981 



Five Per! 
Cent. 



7.287 ; 

9.793 
0.862 

I.621 

1.984 

9-479 
2.358 

1. 100 
2.596 

1-755 
2.731 

2.165 
2.744 

2-315 
2.665 

9-544 
2-447 
2.546 

1. 010 
2.498 
2.41 1 

1528 

2.492 
2.268 

i.8so 
2.421 j 
2.118 I 

1-954 
2.302 
1.960 i 

9243 

2 052 ; 

2.158 i 
1.793 



10.642 



Six Per 
Cent. 



6515 
8.741 

9.689 

0.365 
0.691 

8.467 
1.031 

9.91I 
I.251 

0.498 
1.382 

0.869 
1.404 

l.OIO 

1.345 

8.547 
1. 136 
1.249 

9857 
1.192 

I-139 

0.324 
1.197 
1.023 

0.617 
1.144 
0.899 

0.716 
1.048 
0.767 

8.301 
0812 
0.929 
0.626 

9-535 



Ages. 








Four Per 






Cent. 


Older. 


Younger. 


13-599 


17 


7 




12 


13.480 




17 


13.019 


18 


3 


".531 




8 


13-569 




13 


13303 




18 


12.841 


19 


4 


12.876 




9 


13.482 




14 


13-130 




19 


12.679 


20 


5 


12-993 




10 


13-335 




15 


12.961 




20 


12.535 


21 


1 


10.053 




6 


13.121 




11 


13.217 




16 


12.799 




21 


12.409 


22 


2 


11.605 




7 


13.178 




12 


13.078 




17 


12.646 




22 


12.293 


88 


3 


12. 161 




8 


13.178 




18 


12.934 




18 


12.500 




28 


12.179 


24 


4 


12.511 




9 


13. 112 




14 


12.784 




19 


12.361 




24 


12.062 


25 


5 
10 


12.633 
12.998 




15 


12.630 




20 


12 229 




25 


11.944 


20 


1 


9.770 ' 




6 


12.754 



Five Per 
Cent. 



2.083 

2.009 

.630 

134 
.070 
.864 

483 

447 
:.Oo6 

-723 
351 

.561 
906 

-58s 
.232 

.961 
.685 

797 
.452 

-131 

.344 
.748 
.686 

.327 
.042 

843 
.761 

570 
.209 

.951 

.163 

715 

.450 

.096 

0.858 



.281 
.627 

-324 
0.989 

0.764 



8.742 
11.400 



Six Per 
Cent. 



10.849 
10805 
10.489 

9-998 
10.8^7 
10685 
10.365 

10.284 
10.799 
10.568 
10.255 

10.391 
10.719 

10.453 
10.156 

8.070 
10.510 
10.631 
10.342 
10.074 

9313 
10576 
10.541 
10 239 
10.002 

9764 

10.597 

10.446 

10.140 

9.928 

10.057 
10.566 
10.348 
10.048 

9-853 

10.170 
10.497 

9-960 
9.776 

7.897 
10.285 



Northampton Table. 



i6i 



TABLE \i.—C<mi. 
JOINT LIFE ANNUITIES— TWO LIVES. 



Agis. 




1 




Ages. 




1 








Four Per 


Five Per 


Six Per 




Four Peri Five Per 


Six Per 






Cent. 


Cent. 


Cent. 






Cent. 


Lent. 


Cent. 


Older. 


Younger. 


1 






Older. 


Younger. 
18 




10.932 




26 


11 


12 86i 


"•519 


10.410 


88 


12.125 


9-934 




16 


ia.470 


II 193 


10.135 




18 


11.750 


10 613 


9.6CC 




21 


12.10S 


10.890 


9.879 


1 28 


11.485 


10.393 


9.474 




26 


11.822 


10.667 


9.697 


28 
38 


11.225 
10.902 


10 181 
9.919 


9299 
9.082 


17 


2 


11.264 


10.080 


9.104 












7 


12.798 


11.452 


10.341 


84 i 4 


" 651 


10.488 


9-518 




12 


12.715 


11.402 


10.314 


9 


12.234 


! 11.024 


10.012 




17 


12.311 


11.063 


10.027 


14 


"959 


1 10.796 


9 822 




SS 


11.987 


10.796 


9-803 


1 I» 


"595 


10.486 


9.554 




27 


11.699 


10.567 


9.616 


' 24 
29 


11.352 
11.088 


10 285 
10.069 


9.386 
9.207 


St 


8 

t 


11.790 
12.786 


10.555 
"-455 


9-537 
10.354 


34 


10.759 


0.801 


8.984 




13 


12.564 


11.280 


10215 


35 . 5 


11.732 


'-»-572 


9.602 




It 


"i^s 


10.939 


9.924 


; 10 


12.098 


10.916 


9.925 




28 


11.866 


10.699 


9.724 


15 


11787 


10.65s 


9703 




28 


"573 


10 466 


9-533 


1 20 


".445 


10-363 


9-451 








_ 






25 


11.217 


10.175 


9^295 


St 


4 


12.116 


10.855 


9.813 




80 


10.948 


9.9^4 


9.112 




9 


12.710 


11.401 


10.315 


35 


10.612 


9.680 


8.883 




14 


12.408 


"•153 


10.110 


1 










19 


12.013 


10.820 


9.826 


86 ' 1 


9.047 


8.173 


7.442 




84 


"•743 


10.600 


9-643 


6 


II. 812 


10.656 


9-687 




89 


"•445 


10.362 


9.448 


1^ 


11.941 
11.609 


10.788 
10.507 


9.820 
9 579 


80 


5 


12.220 


10.959 


9-913 


21 


11.302 


10.246 


9 354 




10 


12.586 ; 


11.304 


10.239 


26 


11.078 


10.062 


9.201 




18 


12.246 


II. 021 


10.001 




31 


10805 


9837 


9.014 




80 


11.873 ' 


10.707 


9732 




36 


10.462 


9-555 


8.778 




85 


11.618 


10499 


9.561 














80 


"•313 


10.255 


9.360 


37 


2 


10.592 


9-390 


8-551 












1 7 


11-819 


10676 


9715 


SI 


1 


9 438 


8.483 


7.691 


12 


"773 


10.651 


9.707 




6 


12.322 


11.062 


10.015 




17 


11.430 


10.358 


9454 




11 


12.441 


II. 188 


10-144 




22 


11.163 


10.132 


9.260 




16 


12.078 


10.883 


9.886 




27 


10936 


9.946 


9105 




81 


11.742 


10.600 


9.644 




32 


10.659 


9.716 


8-913 




26 


11.489 


10.396 


9.476 




37 


10.307 


9.427 


8 670 




81 


II. 179 


10. 146 


9.270 


1 

88 i S 


10.838 


9.800 


8.928 


3S 


8 


10.865 


9.767 


8.855 




8 


11.772 


10.648 


9 701 




7 


12.350 


II. 100 


10.060 




IS 


11.600 


10.509 


9 >88 




12 


12.286 


11.062 


10.042 


18 


II 257 


10.214 


9 333 




17 


II. 911 


10.746 


9.771 




28 


11.020 


10.015 


9.163 




22 


11.615 


10 498 


9-561 




28 


10.791 


9 826 


9005 




27 


"359 


10.289 


9389 




38 


10.508 


9591 


8.808 




82 


11 042 


10.034 


9.178 




38 


10.149 


9.294 


8.558 


83 


8 


"355 


10.213 


9.263 


39 


4 


11.097 


10043 


9157 




8 


12.323 


11.090 


10.061 


9 


"665 


10.565 


9637 



1 62 



Northampton Taiile. 



Table Wl.—CoftL 
JOINT LIFE ANNUITIES— TWO LIVES. 



Ages. 








Aces. 










Four Per 
Cent. 


Five Per 
Cent. 


Six Per 
Cent. 




Four Per 
Cent. 


Five Per 
Cent. 


Six Per 






1 


Cent. 


Older. 


Younger. 








Older. Younger. 








89 


14 


11.430 


10.360 


9.464 


44 29 


10. 1 17 


9.267 


8.536 




19 


11.089 


10.074 


9-215 


84 


9.869 


9.058 


8.358 




24 


10.874 


9895 


9.063 


89 


9-5SO 


8787 


8.127 




29 


10.642 


9703 


8.902 


44 


9.160 


8.457 


7.843 




84 


10.354 


9463 


8 701 












89 


9.986 


9.158 


8.442 


45 5 
10 


10.500 
10.851 


9571 
99UO 


8.778 
9.088 


40 


5 


II.150 


10.102 


9.219 


15 


10.607 


9.690 


S?5 




10 


"•513 


10442 


9-537 


20 


10.330 
10 160 


9.448 


8.692 




16 


11.234 


10.205 


9 333 


26 


9304 


8.569 




20 


10.924 


9-937 


9.100 


80 


9959 


9135 


8.424 




25 


10.725 


9-771 


8.960 


1 85 


9.706 


8.921 


8 242 




80 


10.490 


9576 


8.795 


40 


0.381 
8.990 


8.643 


Socn 
7.718 




as 


10.196 


9-331 


8.589 




45 


8.312 


' 40 


9.820 


9.016 


8.322 




















46 


1 


8.071 


7.379 


6.787 


41 1 


8.585 


7.800 


7135 




6 


10.528 


9.609 


8.823 




6 


11.203 


10.163 


9283 


11 


10.697 


9-774 


8.962 




11 


11.342 


10.302 


9.420 


1 16 


10.408 


9.522 


8.762 


16 


11.044 


10.046 


9.198 




21 


10.165 


9.310 


8574 


21 


10768 


9.809 


8.992 




26 


10.000 


0.170 
i.998 


8455 


26 


IO-574 
10.336 


9.647 


8.855 


i 81 


9-797 


8.309 


81 


9.448 


8.688 


86 


9.540 


8.781 


8.122 


86 


10.037 


9.198 


8.476 


41 


9.210 
8.815 


8.497 


7.878 


41 


9654 


8.876 


8.202 


«6 


8.162 


7.589 


42 2 


9839 


8.942 


8.182 


47 2 


9.221 


8.4gS 


7760 


7 


II. 190 


10.165 


9.296 


7 


10.491 


8.815 


12 


II. 165 


10.156 


9.298 


12 


10.481 


9-592 


8.827 


17 


10856 


9.889 


9065 


■ 17 


10.208 


9.353 


8.617 


• 22 


10.619 


9.685 


8.889 




22 


10.001 


9.173 


8.458 


27 


10.423 


9.522 


8.751 




27 


9.836 


9032 
8.858 


8338 


82 


10. 182 


9-3ao 


8.580 




82 


9631 


8.180 


87 


9877 


9.062 

8.737 


8.362 


1 »7 


9370 


8.636 


7.998 


42 


9.491 


8083 


1 42 


9037 


8350 


7751 










i 47 


8.637 


8.008 


7 455 


48 3 


10.242 


9315 


8.528 


1 








8 


11.150 
10.^5 


10 124 


9-270 


48 


8 


9566 


8-759 


8.063 


18 


10.007 


8938 




8 


10404 


9-524 


8.767 


18 


10.677 


9-739 




18 


10.284 


9^21 


8.686 


28 


ia47o 


9.562 


8785 




18 


lO.OII 


9.186 


8473 
8.338 


28 


10.272 


9-396 


8.645 




28 


9833 


IZ> 




88 


10.027 


9.190 


8.471 




28 


9.667 


8.217 




88 


9716 


8.927 


8246 




88 


9.461 


8.714 


8.066 




48 


9.326 


8.599 


7.965 




88 


9.IQ5 
8863 


8487 


7.870 














48 


S.aoo 


7.621 


44 


4 


10.468 


9-531 


8.733 




48 


8-453 


7.849 


7.3x6 




9 


11.012 


10.031 


9.197 


1 










14 


10.799 


9852 


9.042 


49 4 


9-744 


8.932 


!!?° 




19 


10.502 


9.59a 


8.814 


1 

9 


10263 


9409 


8.671 

8-538 


1 


24 

1 


10317 


9-435 


8.670 




" 


10.080 


9353 



Northampton Table. 



— 


"■ 


' ■" 

















Fi«< Pa 






Fdur P« 


FiT= Per 


S»Pcr 


cu»^. 


Ceol. 


C™l 


Ctnl. 


OM«t 


Younger, 








~ 


„s,. 


Q.CHI 


8-33= 


~ 




8.308 


7.7*4 


7.aoa 




g65l 


8.880 


B.an 




7.965 


7.434 


6945 


19 


ISi 




a.ogs 






7.056 


66ao 




8-56S 


793S 










W 


9015 


8-333 


7-737 




8.957 


iPs 


7«8 




8683 


8046 


743a 




'>4-t» 


8.085 




8.a66 


7.686 


7 '73 




9.390 


8.586 














0063 


8-3S3 








8,94. 


8.348 




Sg34 








10085 




8.548 




8.799 


8'iS3 


7-586 




9.87a 


9076 


9386 




B.639 


800s 


7-457 




|::il 


8.861 


8.195 




S.400 


7-B.o 


7,sS6 


It 


8-739 






a. 30 


75*9 


?|73 




9.321 


8,596 






7-780 






u 




8415 






7.303 


6.S97 


6480 




II'm 


8.177 


76M 












8503 








B-93' 


8.356 


7.665 


U 


B.08I 


7-5" 


7-030 


Ji 


9.356 


8.560 
8.403 


?:lf; 




7.-179 


6.885 


6.370 




las^ 


B.116 


7641 




9-745 


B.956 






8754 




7-SS5 




9-8*4 


9.100 








7.999 


7-453 




9.«.S 


8899 




' Si 


e!448 


7-B49 


7-3"^ 




^1^ 


8.713 








7651 


7,146 




H595 






7048 


7 4" 


6.935 




9.151 


a.4';i 








7-09B 


6.658 


as 


'.JS 


8.167 


7.319 


. ii 


7-''79 


6.735 


6-336 


*« 




7-737 


bt 1 


6,843 


6,346 


5,9" 




7^900 


7.365 


6-893 


jj 


9.05a 


a,a4i 
8386 


7-66» 




B.5» 


7-B4S 


7^fi4 




B.858 


B314 


r6,a 




9690 


8.919 


8.348 


11 


e.679 


B.053 


7503 




9.698 


8934 


B.370 






8.570 


7958 


7-4 '9 




946. 


8. 714 


8.083 






8.43b 


7.841 


7.31& 


II 


9,=8^ 


8568 






le 


BJ64 


7690 


7,183 


17 


IS 


B-45t 


7.84a 






8.03s 


74B9 


7.005 


SI 


fl.306 


7-7.6 




49 


7.763 




6.793 




8.763 


8119 


7 553 






7-409 


6936 


6S'5 


u 


1*83 


7-875 






6-993 


6-57. 


6.190 






7-5B" 












u 


7734 


7-313 


6-758 


S7 1 


ir, 


V^ 


6.709 
7.613 




8.815 




J $39 




8.839 


a,J03 


7-6,3 




9 59' 


B.84T 






8639 




7,48. 




9-497 


B763 


B.23 


1 II 


a. 451 


7-S91 


7.363 




9.360 


8-55^ 


7 934 


IT 


a.3S3 




7=79 




li 


a.42. 


7.818 




8350 


7.680 


7 '75 


11 


B304 

8-157 


g 


V, 


8076 

7-8i8 


;:s 


US, 


11 


a.s86 


7-966 






" 


7-574 


7.«i4 


6.648 



164 



Northampton Table. 



Table VI.^CohL 
JOINT LIFE ANNUITIES— TWO LIVES. 



Agbs. 








Agbs. 












Four Per 
Cent. 


Five Pet 
Cent. 


Six Per 
Cent. 




Four Perl Five Per 
Cent. ; Cent. 


Six Per 






• 


Cent. 


Oldci. 


Younger. 




6.774 




Older. 
61 


Younger. 




6.648 




i1 


5S 


7.225 


6.371 


46 


7.076 


6263 




67 


6805 


6.404 


6.04X 




61 
66 


6.795 
6.465 


6.395 
6.100 


6.035 
5-770 


&8 


S 
8 


7.986 
8.691 


7.421 
8073 


6.922 
7527 




61 


6.030 


5-712 


5420 




18 


8 622 


8.015 


7.479 


62 


2 


6.894 


6.452 


6.059 




18 


8.422 


7.835 


7.316 




7 


7.828 


7.319 


6.865 




88 


8.299 


7.725 


7.218 




12 


7863 


7357 


6905 




S8 


8.193 


7.632 


7.135 




17 


7.700 


7.208 


6.770 




88 


8.060 


7515 


7.031 




2S 


7580 


7.100 


6.670 




88 


7.884 


7.360 


6.894 




27 


7.499 


7.027 


6.605 




48 


7.660 


7.162 


6.718 




82 


7.397 


6937 
6.819 


6524 




48 


7.382 


6.915 


6.498 




87 


7.265 


6.418 




63 


7039 


6.609 


6.225 




42 


7.088 


6.660 


6.276 




68 


6.614 


6.234 


5.890 




47 
62 


6.875 
6.600 


6.469 
6 222 


6.104 
5.880 


69 


4 


8075 


7-514 


7.017 




67 


6.270 


5.925 


5613 




9 


8.519 


7.927 


7403 




62 


5.831 


5-533 


5259 




14 


8399 


7.821 


7.310 














19 


8.207 


7.648 


7153 


63 8 


7.669 


6605 


6.209 




S4 


8.104 


7 556 


7-070 


8 


7.184 


6.750 




29 


7.999 


7.464 


6.988 


18 


7.62s 


7.147 


6719 




84 


7.866 


7346 


6884 




18 


7.462 


6.998 


6583 




89 


7.689 


7.189 


6.744 




28 


7365 


6.910 


6.503 




44 


7469 


6.994 


6570 




28 


7.286 


6.839 


0439 




49 


7.186 


6.742 


6.344 




33 


7.186 


6.750 


6359 




64 


6.850 


6.442 


6.076 




38 


7053 


6.631 


6.252 




69 


6.421 


6.062 


5-735 




48 
48 


6.881 
6.667 


6.477 
6.283 


6.112 
5 937 


eo 


6 


8.01 1 


7.466 


6.982 




63 


6.399 


6.042 


5-719 




10 


8.3U 


7.750 i 


7.250 




68 


6.070 


5744 


5 4.';o 




16 


8.170 


7 622 


7.135 




63 


5.626 


5-347 


5.089 




20 


7995 


7.463 


6.990 














26 


7.906 


7.383 


6.919 


64 


4 


7076 


6.641 


6.251 




SO 


7.802 


7292 


6.837 




9 


7.470 


7.010 


6598 




86 


7.669 


7174 


6732 




14 


7381 


6-931 


6.527 




40 


7490 


7-OI5 


6.590 




19 


7.226 


6789 


6.396 




46 


7.274 


6.822 


6.418 




24 


7147 


6.717 


6.331 




60 


6.98y 


6.568 


6.189 




29 


7.069 


6.648 


6.268 




66 


6.659 


6.272 


5924 




34 


6.971 


6.559 


6.189 




bO 


0.226 


5.888 


5-579 




89 
44 


6.838 
6.671 


6.440 
6.289 


6.081 
5944 


61 


1 


6.123 


5.725 


5-372 




49 


6.454 


6.093 


5-767 




6 


7.944 


7-415 


6.945 




64 


6.196 


5-860 


5-555 




11 


8092 


7-557 


7.081 




69 


5.867 


5-561 


5284 




16 


7-935 


7.416 


6953 




64 


5.417 


5158 


4.917 




21 


7787 


7.281 


6.830 














' 26 


7.704 


7.207 


6764 


66 


6 


6.963 


6.546 


6.171 




81 


7.601 


7.116 


6.682 




10 


7.236 


6.803 


6.414 




86 


7469 


6.998 


6577 




16 


7.127 


6.705 


6.325 




41 


7.290 


6.838 


6434 




20 


6.986 


6.576 


6.205 



NORTHA.MPTON TaBLE. 



165 



Table VX.—Cotti, 
JOINT LIFE ANNUITIES— TWO LIVES. 



— 


- 




- 




- 


~- — - — 






• 


Ages. 








Aces. 










Four Per 
Cent. 


Five Per 
Cent. 


Six Per 
Cent. 




Four Per 
Cent. 


Five Per 
Cent. 


Six Per 










Cent. 


Older. 


Voanger. 


6.920 


6.515 


^'^¥ 


Older. 

..... 

68 


Younger. 








66 


26 


68 


5-341 


5084 


4.849 




80 


6.844 


6.447 
6.360 


6.089 




68 


5017 


4.786 


4-.S76 




S6 


6.747 


6.010 




68 


4.537 


4.348 


4.17A 




40 


6614 


6.240 


5.901 














46 


6.453 


6.094 


5769 


69 


4 


5.924 


5.611 


5-332 




60 


6.236 


5-897 


5590 




9 


6.262 


i.1^ 


5.626 




66 


5.986 


5-671 


5.384 




14 


6.202 


5578 




60 


5658 


5-372 


5.I12 




19 


6.084 


5766 


5.476 




66 • 


5.201 


4.960 


4.736 




24 


6.207 


5713 


5427 


<6 


1 


5-295 


4.996 


4.728 




20 

84 


5-973 


5664 
5603 


5.383 
5.326 




6 
11 


6.8^6 
6.987 


6447 
6.581 


6.087 
6.215 




89 
44 


5813 
5696 


5518 
5-4" 


5-249 
5 150 




16 


6.866 


6.472 


6.115 




49 


5541 


5.268 


5019 




21 


6.749 


6.364 


6.015 




54 


5 357 


5- 100 


4.864 




26 


6.689 


6.309 


5966 




59 


^ 131 


4883 


4.665 




81 


6615 


6.243 


5905 




64 


4798 


4585 


4390 




86 


6.520 


6.156 


5827 




69 


4312 


4.140 


3977 




41 


6.388 


6.037 


5718 














46 


6.230 


5.894 


5-588 


70 


5 


5768 


5472 


5209 




61 


6.019 


5-701 


5412 




10 


6.008 


5-/00 


5.418 




66 


5-774 


5479 


5209 




15 


5933 


5631 


5-355 




61 


5-447 


5 180 


4.938 




20 


5.826 


5532 


5262 




66 


4.982 


4759 


4551 




26 
80 


5-780 
5729 


5.489 
5442 


5.223 
5 180 


07 


2 


i^ 


5.569 


5.276 




86 


5.663 


5.382 


5 125 




7 


6.684 


6.306 


5963 




40 


5571 


5.298 


5.047 




12 


6.730 


6.351 


6.009 




46 


5-460 


5-195 


4-953 




17 


6.604 


6.236 


5903 




60 


5.306 


5054 


4.822 




22 


6.51a 


6. 151 


5.824 




56 


5 132 


4.893 


4674 




27 


6-454 


6098 


5776 




60 


4.900 


4.680 


4478 




82 


6382 


6.033 


5-7>7 




66 


4-573 


4.378 


4.199 




87 


6.288 


5948 


5639 




70 


4-087 


3.930 


3781 




42 


6.159 


5831 


5532 














47 


6004 


5690 


5403 


71 


1 


4-380 


4.169 


3.976 




62 


5-801 


5.504 


5233 




6 


5610 


5-331 


5084 




67 


5-559 


5-'5l 


5-031 




11 


5-744 


5.460 


5 >99 




62 


5-285 


4.986 


4.760 




16 


5660 


5382 


5-127 




67 


4.760 


4.555 


4363 




21 
26 


5-572 
5532 


5.300 
5.263 
5.218 


5.050 
5.016 


M 


8 


S.965 


5641 


5.352 




81 


5.483 


4974 




8 


6.490 


6134 

6. 1 16 


5.81X 




86 


5.419 


5159 


4.920 




18 


6.468 


5.796 




41 


5329 


5.076 


4.844 




18 


6343 


6.001 


5.689 




46 


522a 


4978 


4-753 




28 


6.271 


5-934 


5.^28 




61 


5-074 


4.841 


4.626 




28 


6.215 


5-883 


5.58X 




66 


4-905 


4.685 


4.48a 




88 


6.146 


5.8ao 


5.524 
5.446 




61 


4.679 


4.476 


4289 




88 


6.052 


5.735 




66 


4-349 


4.X69 


4005 




48 


5929 


5.622 


5.343 




71 


386a 


3.719 


3584 




48 


5-774 


5.481 


5-213 














68 


5580 


5.303 


5050 


72 


8 


4.814 


4.588 


4.380 



1 66 



Northampton Table. 



Table VI.— Ci?w/. 
JOINT LIFE ANNUITIES— TWO LIVES. 



A 


(JKS. 








Aces. 










Four Per, Five Pei 


Six Per 




Four Per 


FiTe Per! y^t Per 






Cent. 


Cent. 


Cent. 




Cent. 


Cent. 


Uent. 


Older. 


YouDjier. 

7 








Older. 'Younger. 








7£ 


5.418 


5.i.«;7 


4.929 


75 


25 


4589 


4-396 


4.216 




12 


5478 


5.216 


4.976 


1 


80 


4-557 


4-365 


4.188 




17 


5.389 


5-133 


4-899 




85 


4-5--6 


• 4-327 


4-152 




82 


S321 


5070 


4.840 




40 


4.457 


4.272 


4.101 




27 


5283 


5035 


4.807 




45 


4.386 


4.206 


4.040 




32 


5236 


4-992 


4-767 




50 


4-285 


4.112 


3.951 




87 


5 174 


4.934 


4714 




55 


4.171 


4.006 


3852 




42 


5.087 


4-854 


4.640 




60 


4.021 


3.866 


3-721 




47 


4983 


4-758 


4-55 » 




66 


3806 


3.66s 


3-533 




52 


4845 


4.630 


4-430 




70 


3471 


3 347 


3236 




57 


4.679 


4.477 


4289 




75 


3.015 


2.917 


2.827 




62 


4458 


4.272 


4099 














67 


4.124 


3.960 


3.81 1 


76 


6 


4-403 


4.221 


4-053 
4.148 




72 


3639 


3510 


3387 




11 


4487 


4.301 














16 


4452 


4.270 


4.101 


78 


S 


4.811 


4.591 


4.389 




21 


4-391 


4.212 


4.046 




8 


5204 


4.963 


4752 




26 


4.365 


4.188 


4.024 




13 


5.212 


• 4.972 


4-751 




81 


4.335 


4.160 


3-997 




18 


S123 


4.889 


4673 




86 


4-295 


4123 


3962 




28 


5.072 


4841 


4.628 


i 41 


4-238 


4.069 


3.912 




28 
88 


5.036 
4.991 


480R 
4.766 


4-597 
4-559 


1 


46 
51 


4. 171 
4.074 


4.006 
3916 
3815 


VM 




38 


4930 


4.710 


4.507 




66 


3966 


3-674 




43 


4.848 


4634 


4436 
434^ 




61 


3 821 


3-679 


3546 




48 


4.746 


4-539 




66 


3.606 


3.477 


3-357 




58 


4.614 


4417 


4.234 




71 


3.270 


3-159 


3-512 




58 


4.455 


4269 


4.096 




76 


2-833 


2.750 


2.668 




68 


4.236 


4.066 


3.908 














68 1 


3901 


3-752 


3.616 


77 


7 


4.222 


4-P5S 


3.899 




73 


3421 


3-304 


3-193 




12 


4.368 


4195 


3-943 
3892 














17 


4.210 


4-045 


74 


4 


4.726 


4-516 


4.323 


• 


22 


4,164 


4.001 


3-850 




9 


4969 


4-747 


4-556 




27 


4.140 


3979 


3-829 




14 


4.950 


4731 


4-528 




82 


4.111 


3-952 


3804 




19 


4.866 


4.651 


4-453 




87 


4073 


3.916 


3-770 


! 24 


4827 


4615 


. 4.419 




42 


4.019 


3-865 


3??? 


1 t9 


4792 


4583 


4.390 




47 


3-254 


3805 


3-^ 


84 


4749 


4.543 


4.353 




52 


3864 


3.720 


3.586 


S9 , 


4.690 


4.488 


4301 




57 


3.761 


3.623 


3494 


i 44 ! 


4.613 


4.417 


4235 




62 


3.62X 


3-492 


3371 


49 


45" 


4322 


4.146 


1 67 


3405 


3-289 


Hi" 


64 


4.389 


4.208 


4.040 


72 


3.070 


2.971 


2.882 


59 


4-234 


^25^ 


3906 


77 


2.656 


2.583 


2.511 


64 


4.0x9 


3864 


3.719 


1 








69 


3.683 


3.547 


3423 


78 8 


1 4.016 


3.864 


3722 


-. 74 


3-2" 


3.105 


3.005 


18 


4.022 


3871 


3.729 












i 18 


3.964 


3.815 


3.677 


75 


5 


4-557 


4.362 


4. 181 


> 28 


1 3.930 


3.783 


3.646 




10 


4725 


4522 


4-350 




28 


: f:Si 


3-762 


3.626 




16 


4695 


4-495 


4.310 




88 


3-737 


3602 


10 


4.619 


4424 


1 4242 




88 


3-844 


3702 


3570 



Northampton Table. 



167 



Table VL— Gwi/. 
JOINT LIFE ANNUITIES— TWO LIVES. 



Ages. 








ACBS. 




Four Per 


Five Per 


Six Per 

• f> m. 








Cent. 


Cent. 


Cent. 


1 


Older. 


Younger. 






3525 


Older. 


Young 


7t 


4S 


3794 


3.655 


81 


61 


• ^ — 

4t 


3-731 


3596 


3469 


66 


t 61 


3648 


3-518 


3396 




71 




6t 


3549 


3-424 


3-32! 




76 




68 


3414 


3297 


3-188 




81 




88 

78 


3199 
a.869 


3-095 
2.780 


2.996 
2.701 


88 


18 




78 


a.470 


2.410 


2.346 




17 
88 


79 


9 


3-775 


3-638 


3.510 




87 




14 


3-759 


3-624 


3.497 




38 




19 


3-704 


3-571 


3-447 




87 




S4 


3-679 


3548 


3424 




42 




89 


3659 


3528 


3-406 




47 




84 


3-633 
3-598 


3505 


3.384 




62 




89 


3471 


3-352 




67 




44 


3552 


3.428 


3.312 




68 




49 


3490 


3-369 


3256 




67 




64 


3416 


3-299 


3-189 




78 




69 


3.232 


3-2IO 


3-105 




77 




84 


3.192 


3.088 


2.990 




88 




89 


2.979 


a. 887 


2.799 








74 


2.659 


2.580 


2.51T 


88 


IS 


79 


2.271 


2.217 


2. 161 




18 














88 


80 


10 


3-517 


3-39: 


3.281 




88 




16 


3-492 


3-372 


3-259 




88 




80 


3-443 


3-325 


3.214 




88 




86 


3425 


3-308 


3.198 




48 




80 


3.406 


3.290 


3 181 




48 




86 


3383 


3-268 


3-160 




68 




40 


3349 


3.236 


3-130 




58 




46 


3-308 


3-197 


3093 




68 




60 


3-247 


3.140 


3039 




68 




66 


3.180 


3-076 


2.978 




. 78 




80 


3-092 


2.992 


2.899 




78 




86 


2.965 


2.873 


2.786 




88 




70 


2.757 


2.675 


2.598 








76 


2.448 


3.381 


3.323 


84 


14 




80 


a.o68 


2.018 


1.969 




19 
84 


•1 


11 


3264 


3-156 


3054 




89 




16 


3235 


3.128 


3.028 




34 




81 


3195 


3091 


2.992 




89 




86 


3- 181 


3077 


2.979 




44 




81 


3164 


3-060 


2.963 




49 




88 


3-142 


3.040 


2.944 




64 




41 


3109 


3009 


2.914 




59 




46 


3-072 


2.973 


2.881 




64 




61 


3-015 


2.920 


2.829 




69 




66 


2-953 


2.861 


2.774 




74 



Four Peri Five Per 



Cent. 



2.870 
2.746 

2.542 
2.258 
1.869 

3.020 
2.987 

2.958 

2-945 
2.939 

2.90Q 

2.878 

2.843 

2.792 

2733 
2.656 

2.533 

2334 
2.077 

1.681 

2.794 
2.760 

2.740 

2.728 

2.713 

2. 



Cent. 



f. 



2.6 

2-5^5 
2530 

2457 
2.336 
2. 141 
1.899 
1.510 

2.622 
2.589 

2.574 
2.563 
2-549 
2.530 

2.505 
2470 
2.428 
2.376 

2.305 
2.183 

1.991 



Six Per 
Cent. 



2.782 
2.664 
2.470 
2.195 
1.827 

2.924 

2-893 I 
2.865 

2-853 I 
2.838 ' 

a.8i8 

2.789 

2.756 i 

2.707 ; 

2.651 ' 

2.578 
2.461 
2.271 I 
2.013 
1.642 

2.709 i 

2.677 

2.657 

2.646 

2.632 

2.613 

2.587 

2.554 
2.510 

2.457 
2.387 
a.272 
2.085 
1.838 
1.472 

2.545 

2-513 

2.499 
2.489 

2.476 

2.457 

2.433 
2.400 

2.360 

2.3x0 

2.242 

2.126 

1. 941 



2.699 

2.587 
2.402 

2.147 

1.786 

2833 
2.804 
2.777 
2.765 

2.751 
2.733 
2.705 
2.673 
2.627 

2.574 

2504 

2-393 
2.21 1 

1975 
1.606 

2.628 
2.598 

2.579 
2.568 

2.555 
2.537 
2.511 
2.481 
2.438 
2.388 
2.321 
2.211 
2.032 
1. 810 

1.441 

2.472 
2.442 

2.429 
2.418 

a.406 

2.388 

2365 

2.334 
2295 

2.247 
2.182 
2.071 
1.894 



1 68 



Northampton Table. 



Table V\.—Camt. 
JOINT LIFE ANNUITIES— TWO LIVES. 



A(;ics. 



Four Per 
Cent. 



Older. Younger. 



S4 
S6 



<6 



n 



79 
S4 

16 
20 
25 
80 
85 
40 
45 
50 
55 
60 
65 
70 
75 
80 
85 

16 
21 
S6 
81 
86 
41 
46 
51 
56 
61 
66 
71 
76 
81 
86 

17 
St 

S7 
82 
87 
42 
47 
52 
57 
62 
67 
78 
77 
82 
87 



I.751 
1.387 

2.463 

2-431 
2.431 

2.411 

2.398 

2.379 
2.356 

2.323 

2.284 

2.234 

2.163 

2.042 

1.856 

I 608 

1339 

2315 
2.290 

2.2B2 

2.272 

2.260 

2.241 

2.221 

2.188 

2.153 
2.X05 

2.035 

1.914 

1739 
X.478 

I 195 

2.177 
2.158 
2.151 
2.142 
2.130 
2. 113 
2.093 
2.063 

2.0tO 

1985 

I915 

1794 
1633 

1356 
1. 124 



Five Per 
Cent. 



I-750 
1-357 

2.393 
2.364 
2.354 

2344 
2.331 
2.313 
2.291 
2.258 

2.223 
2.174 
2.107 
1.091 
1. 811 

1573 
1.256 

2.253 
2.229 

2.221 

2.212 

2.200 

2.182 

2 162 

2.I3I 

2.097 

2.0U 

1.984 

1.867 

1.699 

1.447 

1. 171 

2. 121 

2.104 
2.096 
2.088 

2.077 
3.060 
2.041 
2.012 
1.980 

1937 
1.870 

1.753 

1-597 
1.329 

1.093 



Six Per 
Cent. 



1.672 
1-330 

2.327 
2 299 

2.290 

2.280 
2.268 
2.251 
2.230 
2.198 
2.164 
2.118 
2053 
1.941 
1.769 

1-539 
1.333 

2.194 
3. 171 

3.163 
2154 

2.143 
3.136 

3.107 

3.077 

2.044 

3.000 

1936 
1.823 
1.661 

1.417 
1.149 

2 069 

3 051 
2.041 
2 036 
2.026 
2.009 

991 
•963 
.932 
.891 
.826 

.713 
.562 

•303 
.078 



ACKS. 



Older. 



88 



Four I'cr 
Cent. 



Younger. 



89 



90 



91 



18 
28 
28 
88 
88 
48 
48 
58 
58 
68 
68 
78 
78 
88 
88 

19 
24 
29 

84 

89 
44 

49 
54 
59 
64 
69 
74 
79 
84 
89 

20 
25 

80 
85 

40 
45 

50 
55 
60 
65 
70 
75 
80 
85 
90 

21 
26 

81 



651 

575 
515 

'^ 

054 
923 

432 
429 

435 



Fire Perl Six Per 
Cent. Cent. 



2.061 
2048 
2.041 

033 
022 

oo6 

987 

960 

928 

886 

817 
697 
546 
259 
030 

904 

895 
889 

883 

872 

859 
840 , 

817 I 

788 I 

751 ! 

685 

S70 

427 
164 

015 

704 

699 

694 
688 



2.01a 
999 

985 

974 

959 

941 

914 
883 

843 
777 
660 

514 



862 

854 
848 

841 

833 

818 

800 

778 

750 

714 
6^ 

538 
400 

145 
001 

670 

665 
660 



635 
619 
601 

577 

486 
387 
25 

909 



:^ 



407 
404 
400 



X965 
1.953 
1.946 

1-939 
1.939 
1.914 
1.895 
1.870 
1. 841 

1.803 

1-737 
1.625 

1.483 

1. 212 

1.044 

1.833 
1. 814 
1.808 
1.802 
1792 

1779 
1. 761 

I 740 

1.6^ 
I 616 
1.508 

I 373 

T 124 
984 

1638 

I.< 

l.< 

I 633 

1.614 

1.604 

1590 
1570 

1547 

1515 

1459 
I 361 

I 234 
I 031 

-895 

1.383 

1379 
1-376 



NoKTHAMi'TON Table. 



Table VI.— CoiK. 
JftINT LIFE ANNUITIES-TWO LIVES. 



Acu. 








,\o^.. ' 














Si. Ccr 




KoBF Pit Fi» 


ePe 


Si< Per 






CcBl. 


Ccnl. 


Ctnl. 




CCDI. C 




Cent. 


Olda. 


YDBP«e»- 








Old.1. Voungrr 








~' 


U 


1.430 


i»S 


1371 


"sTI ~B.~ 


.760 


750 


.740 






1.413 


i.3Bff 


■364 




■733 


733 








1.405 


..380 


■3S6 




-p? 


688 


'sre 




SI 


1-39' 


1,367 


'343 




.fi.4 


6o6 


-599 




M 


1.377 


1-353 


1.330 


BB 


■SS4 


547 


.541 






".33S 


1-334 


\'la 




■365 


361 


357 




H 


'■330 


1.307 
















1.280 


13^9 






■s™ 


5"4 


-50a 




T« 


1.^ 


.180 


','^ 


18 


■S'9 


5'3 


.507 
■506 




H 




'.Bgl 


879 




■517 


s" 


■505 




81 


:^6 


■74B 


737 


W 


,Si5 
.51a 


S09 
507 


■503 
■SO" 


M 












-509 


503 


.49H 










I 105 


M 


-SOS 




■494 




It 


1.137 


r.iig 






■Soo 


494 


.489 






1.134 








■491 


4B5 


.480 














■474 


469 


.464 




n 




1,105 


1,089 




■«3 


44B 


443 




a 


i.ri3 


1095 


1.079 




-4°3 


39B 


394 








1.085 


1Q69 




■373 


369 


■36s 






1^088 




^-"SS 








■197 






1067 


1,050 






















a EG 


.236 


»34 


.333 








,955 






,136 


334 


331 




M 




,85= 


840 




»3S 


333 


331 




n 




■734 


-735 




■"35 


333 


33' 




ei 


.583 


.576 


569 


" 


■^34 
■333 


33, 
331 


,330 
.339 






.Eoo 
.8^ 


.798 


.788 






330 


-S28 








786 




.230 


33B 


.216 




IS 




795 


.785 






,138 




,134 




u 


■to4 


•793 


.783 














41 




■790 


■779 






.317 


315 


.313 




« 


■797 


.786 


.776 




10 


.308 


306 


304 






.790 


.780 


.770 






.IB7 


'BS 


.183 






.7B4 


773 


7S3 




w 


■t77 


'75 


.'74 




n 




''' 






Bt 


.06a 

1 




.058 



INTRODUCTION TO CARLISLE TABLES. 

The Carlisle Table was constructed by the philosopher 
and scientist, Milne, from the parish records of two parishes 
of Carlisle, Scotland, covering a period of but eight years, 
viz., from 1780 to 1787, inclusive. This table was pub- 
lished by him in 1816 in a volume which was very largely 
given over to discussions of the virtues of Swedish govern- 
ment tables. By a strange chance the incident became the 
important thing; the Carlisle Tables have been widely 
adopted and employed, while the Swedish Tables have 
slumbered. 

The Carlisle Table slowly displaced the Northampton in 
the favor of the British companies Neither the Seven- 
teen Offices' or Actuaries' Table nor even Dr. Parr's Eng- 
lish Life Tables were able to displace the Carlisle, which 
was not discarded by most British companies until after 
the H** and H^ Tables appeared, and has not been dis- 
carded by all even at this date. 

The Commutation Tables given herein are taken from 
** David Jones," with the exception of the M and R col- 
umns of the four per cent tables where ** David Jones" 
was found to be wrong, and therefore figures from '* David 
Chisholm's Tables " were substituted. 










P^--'- 


P^t- 









Prupor- 


"^rT 


Af. 


Li«ni. 


^«^ 


Which 


w'hich 


Agt. 


LiviBC. 


D«« 


w'hiJb 


■w'h'kh 








Die. 












Survi.t. 





lOOOO 


'539 


.15:3900 


.846100 


53 


4ail 


68 


01614B 


-983852 




&t6l 


6S2 


,08060; 


.9'9395 




4143 


70 


.0.(.896 


.9-31'^ 




7779 


50s 


.o6,9.B 










,017933 


.981077 




7>74 


376 


.037943 






40DO 




.019CO0 


,98.™ 


4 


6998 






.97";7 




3924 




,010897 






6797 




ioJjB^U 


,981198 




384= 










6676 


Si 


.013183 


.987717 




3749 




:^174 


.971736 




639* 


58 


.008796 


.991104 


80 


3643 




.033489 


.966511 




6536 


43 


.006579 


,99343" 


81 


353" 


116 


■035785 
,03740* 


.964=15 




6493 


33 


.oo;o8a 


.994918 


81 


Sli 


.17 


.96J593 






a* 


.D04489 


.9935" 


GS 


135 


-038350 


.96,750 




64~ 


3' 


.0048™ 






3M3 


115 




.9O0219 


U 


6*68 


33 








3018 


114 


!^^7 


.958913 






33 




:994eiB 




=894 






.957498 


It 




35 


-005525 


■994475 




0771 


113 


:o443ea 


■955'5ii 






39 




.993809 




2648 


133 


.046450 


■953-S-o 




6a6i 




'.CX1670S 


.99319a 


6S 


35=5 




,049109 


.950BJ, 




6319 


43 


,006914 


.993*^86 




2401 




.051045 


.948355 




6176 


43 


.oo6)6a 


.993038 




3177 


134 


.058849 


.94ii.;i 




6133 


43 




.993989 


■n 




146 


,068129 


.931871 




60V. 


43 




.993939 




1097 


156 


.078117 


.91.833 




6047 


4a 








1B4. 


166 


.093168 


,90,832 


it 


&»s 




.00S994 


.993ob6 




1675 


160 




■& 


u 


S963 




.007043 


-99*957 




1515 


156 






59!" 




.007093 


.99=907 




1359 


146 




.892568 




5879 


43 


.007314 


.993686 




i"3 


'3= 




.891179 


16 


583* 


43 


.00736S 


.993631 








,.18409 


.881591 




5793 


45 


.00776B 






953. 


116 




.878179 


M 


5748 


SO 


.008699 


.991301 




837 




'133811 


.866189 


U 


S698 


S6 


.009818 


:K 








.140&M 


,859310 


M 


s 


S7 


.010103 


S8 


613 


fi 


.150883 


.849117 


tl 


57 


.0101C6 


.989794 


84 


S»9 


.158790 


.S4[i.o 


M 


SS'B 


56 


.010130 


.980870 


S& 


445 


78 


.175181 


,824719 




S47S 


SS 


.010051 


.9B9949 


as 


3^7 


7' 


.193461 


.806539 


H 


S417 


55 


.010153 


.989847 




a96 


64 


.2.6J1& 


.783734 




S36a 






989743 


M 


333 


51 


.219B18 


,7Poi73 


le 


5307 




.oiosiia 


.9S9448 




iBl 


39 


315470 


.784530 


JT 


Sasi 


57 




,989145 


so 






.160563 


-73^1 "7 


» 


S194 


SB 


!om67 


.988833 




105 


30 


.2857,4 


,714.86 


u 


5136 


61 


.01,877 


.988.23 


H 


75 








10 


S07S 




.0.3005 


.986905 


n 


54 


14 


.359359 






S«J9 


69 


.013775 


,986«5 










.75">» 


tt 


4940 




■0143:3 


.9856^7 




30 


7 


.333333 


.766607 




486.) 


71 


.014583 


.985418 




'I 


5 


.317391 


.78260] 




479S 


71 


.OM70a 


.985101 




ti 






.77777a 


*i 


47^7 


70 


.0.4B09 


.985191 






3 


!ai4386 




46 


4657 


69 


.0148 l6 


-985184 








.iBiBiS 


,Blfl[Bi 




4588 




.014603 


-985397 




9 






■77777B 




4531 




.013535 


.986./.S 








,285714 


-7143B6 




44S8 


6i 


.013683 


,986317 


10« 


s 










4397 


59 


,013418 


.986;ai 


108 


3 






■333334 


(1 


433fl 


61 




,98570a 












U 


4a76 


6S 


:oi5»i 


.984799 
















174 



Carlisle Table. 



Table II. 

COMMUTATION COLUMNS. CARLISLE TABLE, 

FOUR PER CENT. 



Age. 




1 
S 

s 

4 
6 

6 
7 
8 
9 
10 
11 
IS 
IS 
14 
16 
16 
17 
18 
10 
SO 
81 

ss 

88 
84 

85 
86 
87 
88 
89 
80 
81 
88 
88 
84 
85 
86 
87 
88 
89 
40 
41 
48 
48 
44 
45 
46 
47 
48 
49 
40 
51 
58 



n. 


N, 


S. 


lOOOO.OOOO 


142816.4335 
134680.8566 


2661123.5878 


8135-5769 


2518307.1543 


7192. 1228 


127488.7339 


2383626 2977 


6466.5595 


121032.1744 


22561375638 


59819107 
5586.6386 


I15040.2547 


213SI15.3894 


109453.6161 


2020075.1347 


52761398 


104177.4763 


1910621.5186 


5010 8980 


99166 5782 


1806444.0423 


4775-79" 


94390.7871 
89828.8914 


17072774641 


4561.8957 


1612886 6770 


4364.1445 


85464.7469 


15230577856 


4177-4550 


81287.2919 
77289.8708 


14375930387 


3997 42" 


13563057468 


3824.4558 


734654150 
69807.1103 


1279015.8760 


3658.3046 


1205S50.4610 


3498.1664 


66308.9440 


11357433507 


3342.7991 


62966.1449 


1069434.4067 


3192 6682 


597734766 


1006468.2618 


3048.6473 


56724.8294 


946694.7852 


2910.9820 


53813.8474 


889969.9558 


2779.3965 


51034.4509 


8^156. 1084 
785121.6575 


2653.6268 


48380.8241 


2533.8421 


45846.9820 


736740 8334 


2419.3461 


43427 6359 


690893 8514 


2309.9092 


^11117.7267 


647466.2155 


2205. 31 1 7 


38912.4150 


606348.4888 


2104 9823 


36807.4327 


567436 0738 
530628. 6411 


2009.1084 


34798.3243 


1916 8285 


32881.4958 


495830.3168 


1827.0717 


31054.4240 


462948 8210 


17395339 


29314.8901 


431894.3970 


1655.7306 


276591596 


4025795069 


15758003 


26083 3593 


374920 3473 
348836 9880 


1499-8433 


24583.5160 


1427.6617 


23155-8543 


324253.4720 


1358.8137 


217970406 


301097.6177 


1293 1499 


205038907 


279300.5771 


1230.2938 


192735979 


258796 6864 


1 170. 1325 


18103.4654 


239523.0885 


11 12.5635 


16990.9019 


221419.6231 


1057.0669 


159338350 


204428.7212 


1003 192 1 


14930.6430 


188494.8862 


951.3202 


139793228 


173564.2432 


901.5840 
854.2664 


13077.7388 


15958492CH 


12223.4724 


146507. 1816 


809.2549 


11414.2176 


134283.7092 


766 0067 


10647 6108 


122869 4916 


726.2004 


9921.4104 


112221 8808 


688.0725 


92333379 


102300.4704 


652.3887 


8580.9492 


93067.1325 
84486 1833 


618.7134 


7962.2358 


586.9340 


73753019 


7652^9475 


556.2936 


68190083 


69148.6456 



Mi 



4122.4446 
2642.6369 
2012.0895 

15631464 
1327.2204 

II62.OI3I 
1066.3850 
1004.0718 
961.6917 
931.4805 
909.1869 
890.3490 
870.9865 
851.7682 
832.7115 
813.2772 
792.4548 
770.8931 
749.6671 

7292575 
709.6329 
690.7630 
673.0409 
656.0004 

6396153 
623.8604 

608.3507 

593 4376 

5784311 
5623986 

5451327 
528.2345 
511.9862 
4966369 
483. 1415 
468.2037 
454.8019 
441.6813 
438.8400 
416.2760 

4035704 
3903520 
377.0644 

363-9174 
351 2761 
339.1211 

3275981 
316.6766 

3064795 
397.2600 
288.6766 
280.6938 
272.6278 



Ri 



44587-9711 

404655259 
37823.8887 

35810.7989 

342476523 

32930.4316 

31758.41825 

30692.03297 

29687.96095 
38736.36896 

37794.78820 

3688560106 

25995-25177 
35124.36499 
34373.40658 

23439-78484 
3363650735 

21834.05228 

21063.15888 

20313.49149 

19584 23373 
18874.60061 

18183 83734 
17510.79619 
16854.79554 
16215. 17999 

15591-319^5 
14982.96835 

14389 53046 
13811.09906 
13248.70023 
1270356724 

12175 33249 
11663.34601 

11T66.70886 

10684.56705 

103 16. 36309 

9761 56091 

93198793^ 
8891.03906 

8474.76277 

8071.19211 

7680.83979 

7303-77514 

693985743 
6588.58101 

624945967 
5931.86130 

5605.18443 

5298.704615 
5001.444289 

4713.767431 
4432-073309 



Cakli^e.e Tahle. 



Table II ~Ciini. 



A|.. 


D. 


». 


s. 




R. 


„ 


S26,76« 


6193.3417 


r«:Si 


36J.4968 


4159.445184 




498.3373 




3894.91B105 




471.0619 


S?!!^ 


50343.48.1 


34B.33I8 


3638.630184 




♦M-B^ 


355841835 


340,1036 


3390.40S149 




419.S934 


4458*4373 


331,9770 


3150304343 


M 


37oi^ 


40634031 


333.5459 


3480,438859 


U 


3693.7664 


315307804 


314.3517 


n 


376.1733 


334fi.|6'4 


37838.0140 


004.3753 




3034.6371 
3736.3451 
1450.071B 


34481,5536 




3376.1533^" 


n 


2i:i 


iilo^ 

■7i.3>74 


3083.039060 


M 


set 


3194.6778 


161. 1603 


.739.661083 


M 


1958 8733 


14085.9308 


151.3936 


1568.500628 


W 


217.4193 


1741.4340 


13137.0576 


143.0778 


1417.106763 


•7 


aoo.1717 


1541-3833 


103B5.6036 

6398.35-6 


133. '9=5 


1375.038730 




lass 


;ss 


13J.6489 
116,4340 




TO 


154.1908 


10345330 


108,4708 




140.6034 


893 9'86 


5363.7336 


100.B.39 






ia7.«39S 


43698150 


93.8577 






114 0103 


3603.1358 


84.5334 






101.0617 


5516071 


3950.4670 


75-9588 






BB.4ia6 


386! 3038 


3398.8599 


67.1967 




It 


76,89t6 


19356654 
1549.3636 


59.0763 


370-930579 




66.3313 


319.9817 


51 4631 


31..8S41S8 


n 


56.9194 


SSI 


1339.31)09 


44.6131 


360390767 


TO 


487744 


966.3186 


38.6563 


315.77835. 


H 


41.345=7 


173.9436 


579^0^5 


331031 


177- "1735 




gisa 


138.03654 


3B.36413 


144.0.8314 


It 


.08,94588 


441.06161 


33.77167 


"i's; 




S4.a>Bi8 


84,91770 


33' ■"573 


.9.83768 




19.61803 


6S.*»68 


347,19803 


16 35168 


73.14403' 


u 


15.86814 


4943154 


181,89835 


8.34118 


55-793068 


M 


":g?S 


36,84813 


133.46681 


43,435450 


n 


37,08943 


M.6.B69 


31.753338 


H 


7.3S4Sa 


19.73493 


U.5^9^6 


SIS 


33-411791 


n 


5.5<7ii 


14.317B1 


48.79434 


17.099176 


N 


4.1618G 
a.9S907 






3.61475 
3.57303 


■5:s; 


n 


3,033339 








6.153777 


n 


1.406997 


3 657550 


13.359149 


1.31194 


4394405 


M 


i.ooal3S 


3655416 


8.701599 


.86.190 


3,183,98 




.7«693 




6.046183 


.630393 


3.330738 


N 


■5^755 


1399967 


4.I13461 


-458149 


..700177 








99906S 


3.713494 


-346783 


1.341757 


M 




699345 


1.71+439 


.361134 

.199618 




H 






47^33 


1.01S184 


:^ 


Ul 


:i7aaoo 
.133370 




S!S? 


-543451 

:3S1S 

.016^5 


.160018 

.131941 




:SS 




SS 


.085339 
.050134 


■'&> 


IH 


.oBSs 




oaoooo 


.000000 


.0.6«74 


,016274 



176 



Carlisle Table. 



Table IH. 

COMMUTATION COLUMNS, CARLISLE TABLE. 
THREE AND ONE-HALF PER CENT. 



Ai;r. 


D. 


N, 


s. 


M. 


R. 





IOOOO.OCX)0 


156719.281 1 


3126762 5941 


4362.1499 
2875.1934 


55413 1307 


1 


8174-8792 


148544.4019 


2970043.3130 


510509808 


2 


7261.7797 


141282.6222 


2821498.9111 


2238.5391 


48175.7874 


3 


6560.7312 


134721.8910 


2680216.2889 


1783.0580 


459372484 


4 


6098.3527 

5722.8916 


128623.5383 


25454943979 


1542.5400 


44154.1903 


5 


122900.6466 


2416870.8596 


1373-3034 
1274.8698 


42611.6504 


6 


5430-9303 


117469.7164 


2293970.2130 


41238.3470 


7 


5182.8244 


112286.8920 


2176500.4966 


1210.4185 


399634772 


8 


4963 5140 


107323.3780 


2064213.6046 
1956890.2266 


1166.3726 


387.S30587 


9 


4764. 1 152 


102559.2629 


1134.8222 


37586.6861 


10 


4579 615s 


979796473 


1854330.9637 


1111.4279 


364518^39 


11 


4404 8859 


93574-7615 


17543513164 


1091.5645 


35340.4360 


12 


4235-4131 


893393484 


1660776. c 549 


1071.0492 


34248.8715 


IS 


40717256 


85267.6227 


1571437.2065 


1050.5883 


331778223 


14 


3913.6476 


81353-9751 


I486169.5838 
1404815.6087 


1030. 2015 


32127.2341 


16 


37604109 


775935642 


1009.3103 


310970326 


16 


3610.7557 


73982 8085 


1327222.0445 


986.8188 


30087.7223 


17 


34652503 


70517 5582 


1253239.2360 


9634162 


29100.9036 


18 


3324.9184 


67192.6^98 


1182721.6778 


940.2667 


28137 4874 


Id 


3190.1149 


64002.5249 


1115529.0380 


9179000 


27197.2207 


20 


3060.6262 


60941.8987 


1051526.5131 


896.2896 


26279.3208 


21 


2936.2472 


58005.6515 


900584.6144 


875.4101 


25383 031 1 


22 


2817.2495 


55188.4020 


932578.9629 


855-7058 


24507.6210 


28 


2702.9422 


52485. .1597 


877390.5609 


8366678 


23651.9153 


24 


2593-1442 


498923156 


824905.1012 


818.2736 


22815 2475 


25 


2487.t8ii 


47404.6344 


y/5012.7856 


800.5014 


21996.9740 


26 


23859766 


45018.6578 


727608.1512 


782.9214 


211964726 


27 


2288.3059 


42730.3519 


682589.4934 


765 9358 


204135512 


28 


2193.7491 


40536.6028 


639859- 1415 


748 7614 


19647 6154 


29 


2101. 1270 


384354758 


599322.5387 


730.3340 


18898.8540 


80 


2010. 1228 


364253530 


560887.0629 


710.3724 


18168.5309 


31 


1922.5265 


34502 8265 


524461.7099 


690.7513 


17458.1576 


32 


1838-5559 


32664 2706 


489958.8834 


671.7937 
653-7985 


16767.4063 


33 


1758 3873 


30905.8833 


557294 6128 


16095.6127 


84 


168 1 8488 


29224.0345 


426388.7295 


636 7223 


15441.8142 


35 


1608.4759 


27615.5586 


397164.6950 


620.2236 


14805 0919 


36 


1538.1422 


26077.4164 


3695491364 


604.2828 


14184.8684 


37 


1470.4460 


24606.9704 


343471.7200 


588.6010 


13580.5856 


38 


1405.2987 1 


23201. 6717 


318864.7496 


5731790 


12991.0846 


39 


1342.6146 


21859.0571 


295663.0779 


558.0170 


12418.8057 


40 


128 1. 8053 


20577.2518 


273804.0208 


542.6101 


11860.7887 


41 


1222.3531 


193548987 


253226.7690 


526.5040 


11318.1786 


42 


1164.7488 


18 190. 1499 


233871.8703 


510.2353 


10791.6745 


43 


1 109 1869 


170809630 


215681 7204 


494.0611 


10281.4303 


44 


1056.0509 


16024 9121 


198600.7575 


478.4338 


97873782 


45 


1005.2402 


15019.6719 


182575.8453 


4633350 


9^)89444 


46 


956.8639 


14062.8080 


167556. 1731 


448.9522 


8845.6094 


47 


910.8083 


13151.9998 


1534933654 


435.2544 


8396 6572 


48 


867.1570 


12284.8428 


140341.3656 


4224033 


7961.4028 


49 


826.1576 


11458.6852 


128056.5528 


410.7282 


75389995 


50 


787.2977 


10671.3875 


"6597.8376 


399-8059 


7128.2713 


51 


750.4672 


9920.9203 


105926.4501 


389.5990 


6728.4654 


52 


714.7259 


9206.1945 


96005.5298 


3792358 


6338.8664 



Carlisle Table. 



177 



Table lU.—Coni. 

COMMUTATION COLUMNS. CARLISLE TABLE, 
THREE AND ONE-HALF PER CEN I. 



Age 




T}^ 


N. 


s. 


M, 


R. 


M 


680.0593 


8526.1353 


86799.3353 


368.7386 


5959.6305 


M 


646.4516 


7879.6836 


78373.3000 


358.1282 


5590.8920 


M 


614.0379 


7265.6457 


70393.5164 


347.5752 


5233.7637 


M 


583.6403 


6683.0056 


63137.8707 


336.9420 


4885.1886 


»7 


5523415 


6130.7640 


56444.8651 


326.3462 


4548.3466 


M 


523.4167 


5608.3473 
5115.8149 


50314 1012 


315.0962 


4333.0004 


H 


492.5324 


447057538 


3028781 


3906.9042 


60 


463.4317 


4653.3932 


39589.9389 


289 4231 


3604.0261 


ei 


431.8319 


4231.5713 


34936.3457 


274.4608 


3314.6030 


6t 


4O8.3889 


3819.2834 


30714.9744 


259.5305 


3040.1422 
2780.6117 


6t 


374.1450 


3445.1373 


36895.6930 


244.9906 


M 


3476658 


3097 4715 


23450.5547 


231.1636 


2535.6212 


U 


323.5496 


3-77^.9219 
2476.0843 


20353.0832 


217.8042 


2304.4576 
3086.6534 


ee 


298.8377 
276.4605 


17578 1613 


204.9998 


17 


3199.6237 
1944.3687 


15102.0771 


192.7282 


1 88 1. 6536 


61 


255.2550 


12902 4534 


180 8715 


l68r«.9354 


66 


2351675 
316.0C67 

197.9695 


1709.3013 


109^80847 


169.4159 


1508.0539 


70 


1493. 1446 


9348.8834 


158.2576 


13386380 
1 180. 3804 


71 


1295 1751 


77557388 


147.4766 


71 


X80.0184 


1115.1567 


6460 5637 


136.2202 


1033.9038 


76 


X63.0813 


?5|°7S6 


5345.4070 


124.3705 


896.6835 


Tl 


144.3670 
126.9079 


808.7086 


4392.3314 
3583.6238 


112.1374 


772.3130 


70 


681.8007 


9956024 
87.84764 


660. 1756 


76 


110.9037 


570.8970 


2901. 8221 


560.6154 


77 


96.1197 
83.8933 


474-7773 


23309251 


7681403 


4727677 


76 


39^.8851 


1856.14780 


66.83690 


395-9537 


79 


71.3737 


330.51141 


1464. 26271 


58.12152 


329.1168 


60 


60.79459 
51.589005 


259.71682 


1143.75130 


49.95604 


2709953 


61 


306.137819 


884.03x478 
675.906659 


42.80631 


321.0392 


66 


43.174700 


164.953119 


36.13656 


178 3339 


66 


35.845863 


129. 107256 


510.953540 
381.846284 


30.26774 


142.0964 


M 


39.408031 


99699205 


25.04211 


III. 8286 


66 


33.901782 


75797423 


282.147079 


20.53031 
16.48246 


86.78652 


66 


X9.045660 


56.751762 


206.349656 


66.25621 


67 


14.841618 


41.910145 


149597893 


12.92248 


4977375 


66 


11.339247 


30.670898 


107.687748 


9.821095 
7.434849 


36.85128 


66 


8.479039 


22.198869 


77.016850 


27.02928 


60 


6.421801 


15.777068 


54.817981 


5.671114 


1959443 


61 


4.587937 


11.1891305 


39 0409134 


4054413 


13.92333 
9.868906 


66 


3 166378 


8.0338525 


27.8517829 


2.787902 


66 


3.3036381 


5.8202244 


19.8289304 


1.931324 


7.081005 


64 


15764034 


4.3438330 


14.0087060 


1.379583 


5. 14968 1 


66 


1.1433305 


3.1015015 


9.7648840 


.9988096 


3.770098 


66 




.8461633 


2 2553382 


6.6633825 
4.4080^3 


.7AI2817 

.5035536 
.4261792 


2.771288 


97 




.6^98313 
.4808101 


1.6155170 


3.030006 


66 




1. 1347069 


2.7925273 


1.466453 


66 




•3650043 


.7697036 


1.6^78204 


.3266326 


1.040274 


100 




.3885410 


.4811616 


.8881178 


.2625124 


.713641 


101 
106 




.3168317 

1496433 
.0867491 


.2643300 
.1146877 


.4069562 
.1426262 


.2005605 
.1407036 


.451120 
.350568 


166 




.0379385 


.0379385 


.0828708 


.109865 


161 


.0379385 


.0000000 


.0000000 


.0269938 


.036994 



Carlisle Table. 



Ag,. 


D. 


^ 


s. 


M. 


«. 





10)00.000 


.73'98.334 


3703049,698 


4664.129 


70035 Mj 




toi4 563 


164983.671 


35^851.464 


3169-954 


6S3?i-5J4 
62101 5B0 




SS:;2 


15765 [.318 




3527-104 




150994477 


2064.957 


59674-476 




&ii7 63» 


.44776-845 


305S222.«»8 


1819735 


57609519 




5863.153 


'38913-693 


2910445,353 


1646-351 


55789784 




5S9'."<S 


1333" 648 


3771537-560 


1545-015 


54143434 
S2598-W 




536" -S'S 


137961.133 


2638308 9.2 


1478.341 




S159579 


iJsBoi 544 


2510347.790 


■432.556 


» 




I17B15 aoo 


23B7446.246 


1399.600 


W68^532 




'■3018.3^ 


2169621,046 


1375045 


48287932 




lig; 


UsiH^' 


3156602,693 


1354.095 


46912 877 




2048330,330 


1333352 


45558 7B3 


M 


'Sr, 




iSl 


\lUf» 


44*26431 
43915870 




VH3730 


9'3I5-4" 




1366.»79 


41627. 2S 


le 


3901 M 


87413 773 
83651.17S 


1658124.694 


1341.976 


40361847 


17 


3762597 


1570710.990 


H16565 


39118.871 


u 


36^7749 


80023427 


1487059 74S 


1191,307 


37903-306 


le 


vm 


76535.863 


1407036.318 


1166,785 


36710,999 


K> 


731^977 


1330510.456 


;isss 


35544-314 




3150.560 




1357356.478 


54401-338 




3'33-964 


66769433 


1.87453063 


;gis 


33281.376 




3021.403 




li»6i3.609 


32183 434 




291a 7i° 




1056935 560 


,056.000 


3.106,773 




2807.843 


58037.467 


996100 35. 




30050773 


K 


«7o6i» 


55321344 


C:S 




29014.832 


rr 


=607.945 


52713-399 


996-4439 


27998830 
37002186 


n 


35H.3'7 


50301.083 


^^"^' 


976-97.".5 


M 


3417936 


47783 IS-^ 




9557581 

sis 


36035-211 




sss 


4545B-727 
43114.799 


33;a 


» 


3146.727 




643370:378 


8B7 7524 


23226,879 




3063.088 


39014:984 


6tM292.ao6 


866.63B9 


22339-127 




1983,865 


37030119 




846.5065 


31473,4*8 


u 


:i^;^1 


35126.553 


536345.103 


807:9836 


20635,982 


u 


33395-466 


491118-550 






I75B.W 


31536.470 


457823.085 


799-2245 






1689.335 


srj 


4263S6.6.4 


7706867 


18201.815 




1621.710 


S"S 


7533729 


:s3 

iS945-»3 




I5SS.776 


26669.760 


733.6730 




.490819 


25178.941 




7140395 






33751-483 


ana 

654-8344 


15231054 


4a 


1365-9*4 
1306840 


33385 519 
2107B.579 


37CH38 131 


41 






a49i49-45a 


Ifs^^ 


13307-956 


u 




1B633.0S6 


2*1320.774 


12571,897 




'143S99 




2.06S7 7.8 




11953 Bio 


41 


1094.077 


1639538^ 


■93198.362 


5846749 


113S2.9SI 




1047408 


'5347 973 


.76803.883 


5698731 


10768-346 


M 


1003987 


14344985 
13384277 


161454911 


555.9585 


10198.373 




960.7073 


147109926 


5428933 


9642.41s 


M 


9'93947 


12464.883 


■3.1725-648 


529 5614 


sss. 


U 


879.0475 


I '585-835 


.3.260.766 


515-99=6 



Carlisle Tablk, 



Table IV — Cmt. 



801.4397 

7641444 



ajo.8i3a 

006.5853 
183.4831 



104.6369 
89.56018 
76.367B0 
64i«»6 
535794? 
44.1701J 
3607113 



4943533 
3-455667 
3.485197 
1.809610 
1-346959 
1.033438 
■773833 



8153,8038 
7760.9755 
7103.3563 



3940.3548 
3538.9763 
3146.5540 
3791-753' 
3463. 1S43 
3160.0443 
:8So.84i3 

fc5,7337 

3949o<<5 



480 4656 
39<'-9054 
314 537^ 
35D-3"53 



87,60711 
64.98917 
47 7779* 



109674-9*> 

98938.7377 
8B9S4.0177 
79803, +aal 
71350.6183 
63589 Ii4i9 
511484-0667 
49996,8681 
44069.8730 
38736.0431 
33869,8310 
19487.'^ 10 
35347.3463 

18871.7155 
16079,9634 
13616.6793 
11456.6350 
9575.7937 
79500710 
6555,1615 
5366.8373 
4360.9960 



4 38 73357 
33334097 
334 63386 
16964470 
131.86677 



3.61858 
1.84576 
1.35633 
,787934 



488.4374 
474.49"7 
460.3959 



314.3374 

379.6359 
363.1553 
347,1547 
331.4938 
316.3891 
3003367 
183.4631 
163.9567 



8053.9683 

7S5".7573 
7063.3199 
658B.83B3 
6138.4333 



44507757 
4079.6590 
3738.3693 
33QS.730' 



I "63.354 1 

997-3973 
849.5355 
718 5773 
603.64B7 
503-3765 
415-^14 



58.155 >7 
43.836S1 
3'-I9I77 



.917360 
.696554 
•535773 
.431706 
.310671 
-333 180 
.'37345 
.044884 



INTRODUCTION TO FARR'S ENGLISH LIFE 

TABLES No. 3. 

The English Life Tables No. 3, Male and Female, are 
from the population experience of Great Britain, and were 
graduated by Dr. William Farr and published in the 6o's. 

This table (males), with five per cent interest, was made 
the first standard for valuations in the State of New \ ork 
in 1865, but was abandoned after one year for the Ameri- 
can Experience Table and four and one-half per cent. 



Farr's English Table No. 3. — Males. 18, 



Table I. 
FARRS ENGLISH LIFE TABLE, No. 3. MALES. 









Proba- 


Proba- 








Arc 


Living. 


Dying. 


bility of 
Living. 


bility of 
Dying. 


Age. 
66 


Living. 


Dying. 





511745 


83719 


.83640 


.16359 


209539 


5144 


1 


428036 


27521 


•93570 


.06428 


66 


204395 


5281 


S 


400505 


14215 


•96451 


.03549 
.02385 


67 


199114 


5428 


s 


38^90 


9213 


.97615 


68 


193686 
188102 


5584 


4 


37V077 


6719 


.98218 


.01782 


69 


5752 


6 


370358 


S033 


■^l 


.01359 


60 


182350 


5929 
6118 


6 


365325 


3953 


.98918 


.01082 


61 


176431 


7 


361372 


3310 


•99084 
.99236 


.00916 


68 


170303 


6314 


8 


358062 


2734 


.00764 
.00646 
.00362 


68 


163989 


6515 


9 


355328 


2297 


•99354 


64 


157474 


6730 


10 


353031 


1983 


.99438 


66 


150754 


6921 


11 


351048 


1776 


.99494 


.00506 


66 


143833 


711S 


IS 


34927a 


1666 


.99523 


.00477 


67 


136718 


7297 


IS 


347606 


1637 


.99529 


.00471 


68 


129421 


7458 


14 


345969 


1679 


.99515 


.00485 


69 


121963 


7593 


16 


344290 


178 1 


.99+83 


.00517 


70 


I 14370 


7695 


16 


342509 


1928 


.99437 
.99380 


.00563 


71 


106675 


7756 


17 


340581 


2112 


.00620 


78 


98919 


77/0 


IS 


338469 


2330 


.99314 


.00686 


78 


91 149 
83416 


7733 


10 


336149 


2541 


99244 


.00756 


74 


7639 


80 


333608 


2764 


.99172 


.00828 


76 


75777 


7483 
7268 


SI 


330844 


2801 


99153 


.00847 


76 


61026 


ss 


328043 


2836 


.99136 


.00864 


77 


6990 


ss 


325207 


2868 


.99118 


.00882 


78 


54036 


6655 


S4 


322339 


2897 


.99101 


.00899 


79 


47381 


6266 


85 


319442 


2926 


.99084 


.00916 


80 


4i"S 


5832 


86 


316516 


2954 


.99067 


.00933 


81 


35283 


'M 


87 


313562 


2981 


.99049 


.00951 


88 


29922 


88 


310581 


3009 


.99031 


.00969 


83 


25060 


4349 


89 


307572 


3038 


.99012 


.00988 


84 


2071 1 


3834 
332^ 

2840 


80 


304534 


3068 


.98993 


.01007 


86 


16877 


81 


301466 


3100 


.98972 


.01028 


86 


13549 


88 


298366 


3134 


.98950 


.01050 , 


87 


10709 


2384 


88 


295232 


3171 


.98926 


.01074 


88 


8325 


1965 


84 


392061 


32x1 


.98901 


.0x099 


89 


6360 


1590 


86 


288850 


3254 


.98873 


.01127 


90 


47/0 


1260 


86 


285596 


3300 


.98844 


.01 156 


91 


3510 


979 


87 


283396 


3352 


.98813 


.01187 


98 


2531 


744 


88 


278944 
275538 


3406 


.98779 


.01221 


93 


1787 


553 


89 


3465 


.98742 


.01258 


94 


1234 


401 


40 


272073 


3529 


.98703 


.01297 


96 


833 


285 


41 


268544 


3596 


.98661 


•01339 


96 


548 


196 


tt 


264948 
361380 


3668 


.98615 


.01385 


97 


352 


132 


48 


3746 


.98567 


01433 


98 


220 


86 


44 1 257534 
46 ; 253708 


3826 


.98514 


.01486 


99 


134 


55 


3912 


.98458 


.01542 


100 


79 


33 


46 249796 


4001 


■98398 


.01602 


101 


46 


21 


47 245795 


4095 


.98334 


.01666 


108 


25 


II 


48 241700 


4192 


.98266 


•01734 


108 


14 


7 


49 


237508 


4292 


.98193 


.01807 


104 


7 


3 


60 


233216 

328321 


4395 


.98116 


.01884 


106 


4 


2 


61 


4636 


•97978 


.02022 


106 


2 


I 


68 


224195 


47S8 


.97878 


.02112 


107 


I 


I 


68 


219437 


4885 


.97774 


.02226 


108 






64 


214552 


5013 


.97664 


.02336 









Proba- 
bilitpr of 
Living. 



97545 
97416 

97274 
97117 

96942 

96748 

96532 

96293 
96037 

95733 
95409 

95053 
94663 

94237 

93774 
93272 

92729 

92144 
91516 

90843 
90124 

89359 

88545 
87684 

86775 
85816 

84807 

83750 
82644 
81488 
80285 

79035 
77737 
76395 
75009 
73580 
73110 
70601 
69056 
67476 
65863 
64221 

62552 
60859 

59144 
57412 
55664 

53905 
52137 

50364 
48589 

46816 

45048 
43288 



Proba- 
bility of 
Dying. 



02455 
02584 

02726 

0288q 

03058 

03252 

03468 

03707 
03973 
04267 

04591 
04947 
05337 
05763 
06226 
06728 
07271 
07856 
08484 

• • • • • 

09157 
1064 1 

"455 
12316 

13225 
14184 

15193 
16250 

17356 
18512 

19715 
20965 

22263 

23605 

24991 

26420 

27890 

29399 
30944 
32524 
34137 
35779 
37448 

39141 
40856 

42588 

44336 
46095 
47863 
49636 

5141 1 
53184 
54952 
567x2 



1 86 



Farr's English Table No. 3. — Males 



Table III. 

COMMUTATION COLUMNS, FARRS ENGLISH LIFE TABLE NO. 3. 

MALES, FOUR PER CENT. 



Age. 


D. 


N\ 


S« 


M, 


R. 





5"745 
411503 


7673088 


141954511 


196943.65 


3410246.79 


1 


726152s 


154381423 


116444.61 


2213303.14 
2096858.53 


s 


370289 


6891336 


127019898 


9099990 


3 


343410 


6547836 


130138663 


78363.82 


»o5838.63 


4 


322327 


6335499 


113580836 


. 70487.51 


192749581 


6 


304407 


5921092 


107355337 


64964.98 


1857008.30 


6 


288721 


5632371 


101434245 


6098733 
57983.38 


1792043.33 


7 


274613 


5357758 


95801874 


173105599 


S 


261633 


5096126 


90444116 


55564-79 


1673072.61 





249649 


4846477 


85347990 


5364392 


1617507.82 


10 


238495 


4607982 


805015 13 


52092.15 


1563863.90 


11 


228034 


4379948 


75893531 


50804.03 


151177175 


18 


218154 


4161794 


7i5ns83 


49694.75 
48694.19 


146J96773 


IS 


308763 


3953031 


67351780 


141 1272.97 


14 


199789 


3753242 


63398758 


47748.86 


1362578.78 


15 


191 173 


3562070 


59645516 


46816.57 


131482992 


16 


183869 


3379201 


56083446 


45865.68 


1268013.35 


17 


17484S 


3204356 


52704215 


44875.90 


1222147.67 


18 


X67078 


3037278 


49499889 


4383336 


1177371.77 


19 


159550 


2877728 


4646261 I 


43732.19 


"33438.41 


80 


152254 
145186 


2-/25474 
2580288 


43584883 


41572.51 


109070623 


81 


40859409 


4035957 


104913371 
1008774.14 


88 


138419 


2441869 


38279121 


3917767 
3802703 


88 


I3«94S 


2309924 


35837252 


96959647 


84 


125751 


2184173 


33527328 


36908.16 


931569.44 


86 


I 19838 


2064345 


31343155 


35821.45 


894661.38 


86 


II4164 


1950181 


39278810 


34766.07 


85883983 


87 


108749 


X841432 


27328629 


3374157 


824073.76 


88 


10^573 
9S633 


1737860 


25487197 


32747.47 


790332.19 
75758472 


89 


1639337 


23749337 


31782.63 


80 


93894 


1545343 


23II0100 


3084596 


735802.09 


SI 


89373 


1455970 


20564757 


39936.43 


694956 13 


88 


85052 


1370918 


19108787 


39053.74 


665019.71 


83 


80921 


1289997 


17737869 


2819^.73 


635966.97 


34 


76973 


1213024 


16447872 


2735801 


6077/324 


35 


73199 


1139825 


15234848 


26544.29 


58041523 


36 


69591 


1070234 


14095023 


25751.39 


55387094 

528119.55 


37 


66141 


1004093 


13024789 


24978.21 


38 


62842 


941251 


12020696 


24223.05 


50314134 
478918.29 


39 


59687 . 


881S64 


II07944S 


2348524 


40 


56670 , 


824894 


10197881 


22763.52 


45543305 


41 


53784 


771 I 10 


9372087 


2205674 


432669.53 


48 


51023 


730088 


8601877 


2136424 


410612.79 


43 


48381 


671707 


7881789 


20685.04 


38924855 


44 


45853 


625854 


7210082 


20018.08 


368563.51 


45 


43434 


582430 


6584338 


1936307 


34854543 


46 


4x120 


54>300 


6301803 


18719 10 


329183.36 


47 


38905 


502395 


5460508 


18085.81 


310463.36 


43 


36785 


465610 


4958113 


17462.57 


292377.45 


49 


34757 


430853 


4492503 


16849.11 


374914.88 


50 


33816 


398037 


4061650 


16245.17 


258065.77 


51 


30960 


367077 


3663613 


1565052 


341830.60 


58 


39167 


337910 


3296536 


15048.69 


336170.08 


63 


27450 


310460 


2958626 


1445350 


3III2I 39 
196667.89 


M 


25807 


284653 


3648166 


13865.95 



Farr's English Table No. 3. — Males. 



187 



Table III, —Conf. 

COMMUTATION COLUMNS, FARRS ENGLISH LIFE TABLE No. 3 

MALES. FOUR PER CENT. 



Age. 


D. 


N. 


s. 


M, 


R> 


66 


24334 


^ 


2363513 


13386.14 


182801.97 

16951583 
156801.74 


66 


23730 


2103094 


13714.09 


67 


21291 


316398 


1865405 


13149.39 


68 


\r^ 


196484 


1649007 


11591.30 


144652.35 


69 


177888 


1452523 


11039.25 


133061.05 


60 


;?f^ 


16055^ 
144428 


1274635 
I I 14081 


10492.46 


123021.80 


61 


9950.53 


111520.34 
101578.82 


6t 


'^ 


X29460 


969653 
840193 


9412.82 
8870.23 


6S 


13858 


1x5603 


92166.00 


64 


12796 


103806 


724591 


8349.83 
7834.78 


83286.77 


66 


1 1779 


01037 

80330 7 


621785 


7493694 
67112.16 


66 


10806 


5307575 


7304.82 


67 
66 


0876.2 
8989.S 


703445 
613550 


450536.8 
380192.3 


6790.85 
6284.00 


5980734 
53016.49 

46732.49 
40946.60 


69 


8145-7 


532093 


318837.3 


5785.89 


70 


7344-8 


45864.5 


265628.0 


5398.27 


71 


6587.1 
58733 


39277.4 


219763.5 


4823.11 


3564833 


7t 


33404-1 

28200.4 


180486. 1 


4362.60 


3082522 


76 


5«>37 


147082.0 


391900 


36462.62 


74 


4579-J 


23621.3 


118881.6 


3494.50 


22543.62 


76 


3999.8 


I962I.5 


95260.3 


3091.29 


19049.12 


76 


34661 


I6I55.4 


75638 8 


3711.50 


15957.83 


77 


3978.2 


I3I77.2 


59483.4 


2356.81 


13246.33 
10889.52 


76 


2535-6 


I064I.6 


46306.2 


2028.81 


79 


2137.8 
17837 


8503.8 


35664.6 


1728.54 


8860.71 


60 


6720.1 


27160.8 


1456.69 


7132-17 


81 


1471.9 


5248.2 


20440.7 


1213 40 

810 jL 


567548 


88 


I300.2 


404799 


1519254 


4462.08 


88 


96653 


3081.46 


11144.55 


346372 
2652 88 


94 


768.05 


23I34I 


8063.09 


649.50 
512.84 


86 


601.80 


I7II.6I 


5749.68 


2003 32 


86 


464.57 


1247.04 


4038.07 


398.73 


149048 


87 


353.05 


89399 


2791.03 


305.10 


1091.75 


88 


263.90 


630.09 


1897.04 


239.53 


786.65 


89 


193.85 


43624 


1266.95 


169.63 


557.12 


90 


139.81 
98.917 


296.429 


830.713 


123.03 


38749 


91 


197.512 


534284 


8752 


264 46 


98 


68.585 


128.927 


336.772 


6099 


176.94 


98 


46560 


82.367 


207.845 


41.60 


115 95 


94 


30.916 


51.451 


125.478 


2775 


74 35 


96 


20.058 


51393 


74.027 


18.09 


46.60 


96 


12.703 


18.6904 


42.6343 


11.49 


28.51 


97 


7.8442 


10.8462 


23.9439 


7.12 


17.02 


98 


4.7180 


6 1282 


130977 


4.29 


9.90 


99 


2.7609 


3.3673 


6.9695 


2.52 


5.61 


100 


I.57OI 


1.7972 


3.6022 


':g 


309 


101 


.8668 


.9304 


1.8050 


1.66 


108 


.4639 


4665 


.8747 


.42 


86 


108 


.2405 


.2260 


.4081 


.23 


.46 


104 


.1205 


.1055 


.1821 


.11 


.21 


106 


.0584 


.0471 


.0766 


.06 


.10 


106 


.0273 


.0x98 


.0395 


.03 


-04 


107 


.0123 


.0075 


.0097 


.01 


.01 


106 


.0053 


.0023 


.0033 


.00 


.00 


109 


.0022 




.0000 


.00 


.00 



1 88 



Farr*s English Tadlk No. x — Males. 



Table IV. 

FARRS ENGLISH LIFE TABLE No. 3. COMMUTATION COLUM.NS. 

THREE PER CENT. MALES. 



Age. 


D, 


N, 


S. 


.M. 


R. 




1 


5"745 
415559 


0388491 
8873933 


106217813 
186939^22 


336301.23 
145030.64 


37997" 50 
3573410.38 

3428389.64 


s 


377514 


8495418 


178056390 


119079.46 


3 


353510 


8141908 


169560972 


106070.72 


3309310 18 


4 


335<w8 


7806880 


161^19064 
153612184 


97885.09 


3203239.46 


5 


319474 


7487406 


92089.33 


310535437 


6 


305953 
393838 

282657 


7181453 


146124778 


87874.16 


3013265.15 


7 


6887625 


138943325 


8466001 


3925390.99 


8 


6604968 


132055700 


83047.07 


3840730.98 


• 


272329 


6332639 


125450732 


79951-69 


2758683.91 


10 


262688 


6069951 


I 191 18093 


78243.51 


3678733.32 


11 


253605 


5816346 


113048142 


76809.95 


3600489.71 


IS 
IS 


244972 
236703 


5571374 
5334671 


107331796 
101660432 


75564.30 
74439.84 


352367976 
2448115.46 


14 


228736 


5105945 


96325751 


73347.59 


2373685.62 


IS 


230987 


4884958 


91 219806 


73369.90 


2300338.03 


16 


213441 


4671517 


86334848 


71160.04 


3338068.13 


17 


206057 


4465460 


81663^1 
77197871 


69993.57 


3x56908.09 


18 


198815 


4266645 


68753.99 


2086914.52 


19 


191701 


4074944 


72931226 


67429.93 


3018161.53 


80 


184711 


3890231 


68856282 


66023.04 


195073160 


81 


177845 


3712388 


64966049 


6453725 


1884708.56 


88 


171203 


3541185 


61253661 


63075.43 


1830171.31 
175709588 


8S 


16^780 
150570 


337640s 


57712476 


61638.45 


84 


3217835 


54336071 


60227.58 


1695457.43 


25 


152567 


3065268 


511 18236 


58843.96 


163532985 


86 


146767 


29 I 8501 


48052968 


57487.19 


1576385.89 
1518898.70 


87 


141163 


2777339 


45134467 


56157 33 


88 


135748 


2641591 


42357128 


5485440 


1463741.37 


89 


130517 


251 1074 


39715537 


53577-54 


1407886.97 


80 


125464 


2385610 


37204463 


52325 92 


1354309.43 


81 


120583 


2365027 


34818853 


51098.76 


1301983.51 
1250884 75 


S8 


115867 


2149160 


32553826 


49894.92 


SS 


111310 


2037850 


30404666 


48713.32 


1300989.83 


84 


106907 


1930943 


28366816 


47552.59 


1x53276.51 


85 


102653 


1828290 


26435873 


46411.45 


110A723.92 
1058313 47 


86 


98540 


1729750 


24607583 


45388.71 


87 


94564 


1635186 


23877833 


44183.27 


1013033.76 
968840.49 


38 


90720 


1544466 


21243647 


43093" 


S9 
40 


87002 
83406 


1457464 
1374158 


19698181 
18240717 


42017.65 
40955.43 


92574738 
88373973 


41 


79926 


1294133 


16866659 


39905.10 
3886600 


84377430 


48 


76559 


1217573 


15572521 


80086930 


4S 


73300 


"44273 


14354954 


37836.97 


76400330 
736166.33 
68934956 


44 


70145 


1174128 


13310681 


36816.67 


45 


67090 


1007038 


12136553 


35804-93 
34800.58 


46 


64133 


943906 


11129515 


653S44 63 
618744 05 


47 


61267 


881639 


10186609 


3380330 


48 


58491 


8^3148 


9304070 
8481832 


32812.31 


58494075 


49 


55803 


767345 


3183740 


553138.44 


50 


53>98 


7141-7 


7714477 


30848.36 


530301.04 


51 


50676 


663471 


7000330 


39875.03 
38880.38 


489452.68 


58 


48205 
45808 


615366 


6336859 


459577.65 
430697.27 


53 


569458 


5721593 


27887.15 


54 


43483 


525975 


5 1 321 35 


36697.11 


400810.13 



Farr's English Table No, 



Ak«. 


U. 


N. 


s. 


M. 


R. 


U 


a4»34 


^ 


3363513 


I3a86.i4 


i8a8oi.97 


M 


aa730 


3103094 


1*714.09 




ataspi 




■865405 


11149.39 




;8B8 




I649~7 


11591,30 


144653.35 


U 




1453333 


11039,35 


133061.05 


M 
« 


;sa 


'^k 


W,'^. 


1049346 

9950-53 


9ai66,oo 




Its 


:ns 


969653 

840193 


KS 


M 


.i* 


IC^ 


El 


XS 


833S6.77 




"779 


1^, 


l^f,U 


M 


10B06 




7304-83 


•1 


Ss 


7°3+4S 


3^^'! 


sss 


5980734 


«• 


a'«5-7 


53!»9-3 


318837.3 


37B3.89 




5*733 


4SS64.5 


J656J8.0 


539837 


71 


393774 


319763s 


4^311 




■n 


ilS:; 


x8o486,I 


4363,60 


3o8»sia 




Sao3.7 


147083.0 


391900 


36461,53 


7* 


43791 


J3fci.3 


118881.6 


349450 


33543.6a 




39W* 


igfais 


95!»6o.3 


3091. »9 


19049.1a 


78 


34661 


16155-4 


73638 8 


3711.50 


1595783 




J97B3 


i3'77-3 


5|*J|;* 




13346.33 


71 


aS3S-6 


10641.6 


^8^81 


10889-33 


7» 


1783-7 


8503.8 




■738.54 
1456.69 


8S6o,?i 


M 


6^.1 


37160,8 


7133.17 


11 


1471.9 


51.8.3 


30440.7 


"ii 

649.^ 


3675.48 


n 




4D47 99 


1519a 54 


4463.08 


M 


'96633 


3081-46 


I I 144-35 


300333 


M 
U 


K 


mix 


S063.09 
3749.68 


to 


464.57 




4038.07 


398.73 


149048 




353»5 


89399 




30510 


1091.7s 


H 


"63.90 


630.09 


'897-04 


s« 


786.6s 


M 


193B3 


436*4 


136695 


357 13 




x\, 


»96.4»9 


830,713 


■33.03 


38749 




197.512 


534.3B4 


8753 


^'i 


M 


6858s 


118.937 


336-773 


6099 




46560 


83.367 


307.845 




II5 9S 


M 


30.9"6 


51.451 


.35.478 


37 75 


74 3S 




" 


703 


fJ:a 


ss. 


ia.09 
11-49 


46.60 
38.51 


n 




8442 


,08463 


33-9439 


7.13 




M 




71B0 


61383 


130977 


4.39 


990 


n 




7609 


3.3673 


6.?6gs 




56. 






S7DI 






3.603a 


':! 


309 






B668 




4^ 


1.8050 


1.66 


IM 




4S39 




.B-i7 


.43 


86 






1405 






.4081 


-33 


.46 






"OS 




1035 


.1831 










05B4 




0471 


.0766 


!o6 








■»73 




0198 


■0395 


■03 


-o« 






0113 




0075 


.0097 






IN 




0033 




ataa 






.00 


lot 


-omi 




,0000 


,00 


.00 



Farr*s English Table No. 3. — Females. 191 



Table l.—Comt, 
FARR'S ENGLISH LIFE TABLE, No. 3. FEMALES. 





— 




Proba- ] 


Proba. 


— . 






Proba- 


Proba- 


Age. 


Living. 


Dying. 


bilitvof b 


ility of 


Age. 


Living. 


Dying. 


bility of 


bilitv of 








Living. ] 


>ying. 


55 






Living. 


Dying. 





488255 


65774 


.86530 
.93808 


.13471 


21x576 


:^ 


•9Z?S 


.02098 


1 


422481 


26159 


.06193 


56 


207137 


.97766 


02234 


s 


306322 
382299 


14023 


.96463 


.03538 


57 


202509 


48x7 


.97631 


•02379 


s 


9243 


•9758a 


.03418 


58 


197693 


5009 


.97466 


•02534 


4 


373056 




.98233 


.01768 


59 


193683 


5206 


.97298 


.03703 


6 


366460 


.98673 


,01338 


60 


187477 


5409 


.97115 


.03885 


6 


361594 


3815 


.98945 < 


.01055 


61 


183068 


5619 


.96914 


.03086 


7 


357779 


3249 


.99093 


•°°908 


68 


176449 


5835 


.96693 


•03307 


8 


354530 


2724 


.99232 


,00768 


68 


X70614 


6057 


.96450 


.03550 


9 


351806 


2328 


•99338 


,00663 


64 


164557 
158275 


6282 


.96182 


.03818 


10 


349478 


2045 


•99415 


.00585 


65 


6509 


.95888 


.04113 


11 


347433 


i86t 


•99464 


.00536 


66 


151766 


6731 


.95565 


•04435 


It 


345572 


1765 


•99489 


.00511 


67 


145035 
138088 


6947 


.95210 


.04790 


IS 


343807 


1745 


•99493 • 


.00507 


68 


7149 


•94823 


.05177 


14 


34206a 


1789 


•99477 - 


.00533 


69 


130939 


7332 


.94401 


•05599 


15 


340273 


1888 


•99445 


.00555 


70 


123607 


7489 


.93941 


.06059 


16 


338385 


2029 


.99400 


.00600 


71 


IX6XX8 


76x3 


.93444 


•06556 


17 


336356 


2205 


.99345 


.00655 


78 


108505 


7698 


•92905 


.07095 


18 


334151 


2400 


.99282 


007x8 


78 


100807 


7736 


.92325 


■'^ 


19 


331751 


2609 


•99214 


00786 


74 


93071 


7724 


.9x702 


80 


329142 


2819 


•99144 


00856 


75 


85347 


7653 


•91033 


.08967 


81 


326323 


2867 


.99121 


.00879 


76 


77694 


7521 


•90319 


.09681 


88 


323456 


2912 


.99100 


00900 


77 


70x73 


7329 


.89557 


.10443 


88 


320544 


2952 


.99079 


00931 


78 


63844 


7071 


.88747 


.1x353 


84 


317592 


2989 


•99059 


00941 
.00961 


79 


55773 
490x8 


6755 


.87889 


.I3XXX 


85 


314603 


3024 


•99039 - 


80 


6382 


.86981 


.13019 


86 


3"579 


3055 


.99020 


,00980 


81 


42636 


5959 


.86023 


•13977 


87 


308524 


3084 


.99000 


OlOOO 


88 


36677 


5496 


.850x5 


.14985 


88 


305440 


3112 


.98981 . 


0x019 


88 


3118X 


5003 


•83956 
.82847 


.16044 


89 


302328 


3138 


.98962 


.0x038 


84 


26x78 


4490 


•17153 


80 


299190 


3163 


•98943 ■ 


01057 


85 


2x688 


3972 


.8x688 


.183X2 


81 


296027 


3187 


.98924 . 


.0x076 


86 


X77x6 


3458 


.80480 


•19520 


88 


292843 


3J109 


.98904 


,0x096 


87 


14258 


3962 


•79223 


.20777 


88 


289631 


3223 


.98884 


.0XXI6 


88 


XX296 


2494 


•77919 


.23081 


84 


286398 


3255 


.98863 


.01137 


89 


88o2 


2063 


.76567 


•23433 


85 


283143 


3279 


.98843 


.0x158 


90 


6739 
5066 


1673 


•75170 


.24830 


86 


279864 


33^1 


.98820 


.0x180 


91 


1331 


•73729 


.26371 


87 


276563 


3326 


.98797 


01303 


98 


3735 


X037 


.72246 


.27754 


88 


273237 


3350 


•98774 


,0x226 


98 


3698 


790 


.70723 


.39278 


89 


269887 


3376 


.98749 


.01251 


94 


1908 


588 


.69160 


.30840 


40 


26651 I 


3402 


& 


.01277 


95 


X320 


428 


.67563 


.32437 


41 


263109 


3431 


.01304 


96 


893 


304 


•65931 


•34069 


48 


259678 


3459 


.98668 


.01332 


97 


5^8 


2x0 


.64269 


.35731 


48 


256219 


3490 


.98638 


.0x362 


98 


378 


142 


.62579 


.37421 


44 


252729 


3522 


.98606 


■0x394 


99 


236 


93 


.60864 


.39136 


45 


249207 


3555 


.98538 


.0x427 


100 


144 


59 


.59126 


.40874 


46 


245652 


3591 


.0x462 


101 


85 


36 


.57370 


.43630 


47 


249061 


3627 


.98502 


.01498 


108 


49 


33 


.55598 


.44403 


48 


238434 
«34769 


3665 


•98463 


.0x537 


108 


27 


X3 


•53814 


.46x86 


49 


3705 


.98422 


.01578 


104 


1 

4 


7 


.5202X 


.47979 


50 
51 


23106A 
227318 


3746 
3788 


•98^79 
•98334 


.0x621 

.01666 


105 
106 


4 

3 


.50223 
.48433 


.49778 
•51578 


58 


223530 


3832 


.98286 


OI7I4 


107 


3 


X 


.46624 


.53376 


58 


219698 


3876 


.98236 


.0x764 


108 


X 


X 


.44831 


.55169 


54 


21582a 


4246 


•98033 


01967 













Fakr's English Life Table — No. 3. 







Table 11. 






4.RRS ENGLISH LIFE TABLE No. 1, COMMU PATION 


COLUMNS, 




FOUR PER CENT. FEMALES. 




Klf. 




N. 


s. 


M. 


^^K,^ 





4etess 


7S93795 


141107163 


177406.81 


334015777 


1 


406331 


7187564 


114.6157 






366403 


68:i[l42 




e9977-ii 






3»8fa 


6481180 




77510.7a 


xm 




318890 




i.3"3383 


gss 




30i»03 


586.167 


106960992 


1811490.79 




"^m 


5575414 


I01099S0S 


6034*67 


'747^45 


1 


I7I8BI 


53035P 
S044480 


955=439' 
90110S59 


57443-58 
5506957 






4797306 


85176379 


5315573 


1574446^63 






«6.au 


S0379073 


51383.01 


1531193.91 






433S5S6 


-5S17S61 


50154-63 


1469707.90 




■% 


4119683 


71483335 


49093.35 


1419453.18 






67361651 


4803314 


1370361.03 






37'5670 


63*49450 


47014.5s 


1311338,79 


IS 


3536718 


59733780 


46031,8 


1175304=4 


It 


3346061 


56107053 


4503316 


1339173 oS 


17 


17»676 


ss 


5=860991 


43081.53 
43893.0! 


1184=49.90 


II 


164947 
157463 


40687606 


1140=6837 




385097s 


4*67 16S 


41733.94 


1097375 39 


M 


iSoaiS 




43818193 


g:S 


105 6il.3S 




U3»™ 


=557557 


411=7434 


1015058.11 


M 


'36484 


3431073 


38569877 


97 731 96 




130053 


3=91010 


36148S04 


3«934 93 


93 615 55 




:;S! 


1167111 


33*57784 


35783=9 


91068063 

86489733 


U 


1049108 


31690663 


Sa^.o? 


M 


11J383 




=9641555 


33571.35 
3=511.83 


830^35.36 




107001 




=7704830 


796*6391 




10-B57 




15875106 


3148339 


764153 08 




96943 


1630035 




3048553 


73=668.«9 


M 


^ 


1538679 


11516314 


3951803 


70= "83. 17 


Jl 


H50919 


30977635 


=85803= 
=767164 


673665. IS 


n 


83477 


i36744» 


19536716 


64408483 


u 


79386 


1388056 


■8159=74 


36793,37 


616411 99 


M 


7S48. 


;rag 


16871318 


25940.11 


589610.7= 




7'7S3 


15658643 


=5"S 34 




M 


68194 
6479B 


iC7a6ae 


I4517831 


34316.35 




1007S30 




3354394 


514348-81 




S1556 


946174 




11793.64 


490705 88 


a> 


58463 


887811 


"S^ 


11067.06 


467913.34 


J* 




;se 


ssr. 


445844.38 
4=4479.50 






7=9597 


30011.71 


403796.07 




Z^ 


681153 


B161776 


193B1.31 


383773 36 




637155 


l» 


i876aB3 


36*391.15 




^ 


594491 


1815787 


3456303= 




554053 


6*47977 


17573.67 


3=747=-4S 




3B3'4 


5>5739 


Ws 


1700418 


309899.78 


ii 


36*83 


47945' 


16,51.37 


19.89550 




34JS6 


m 


4798734 


1S9»S.93 


376443-33 




3*5 >4 


4353639 


15394 59 
1^75 


«6os37,J» 




1^, 


3941058 


34513=71 




» 


^. 


14394 94 
13915.58 


33034496 




»74a3 


3.5850-0= 


M 


'59Sy 


399301 


1881 3jB 


13449.37 


901934-44 



Farr's English Life Table — No. 3. 



193 



Table II. —Con/. 



FARR'S ENGLISH 



LIFE TABLE No. 3. 
FOUR PER CENT. 



COMMUTATION COLUMNS. 
FEMALES. 



Ai;e. 


D. 


274832 


s. 


M. 


R. 


55 


24470 


2581926 


12958 30 


188485.07 


56 


2303s 


251797 


2307094 


12464.65 


175526.77 


67 


21654 


230x43 


2055297 


11969.78 


163062 12 


68 


20326 


209817 


1825x54 


1147451 


151092 34 


59 


19049 


190768 


16x5337 
1424569 


10979.31 


139617.83 


60 


17822 


172946 


1048443 


128638.52 


61 


16642 


156304 
140796 


1251623 


9990.02 


XX8154 09 


62 


15508 


1095319 


9496.17 


X08164.07 


68 


14418 


126378 


954523 
828x45 


9003.06 


9806790 


64 


1337a 


II3006 


8510.88 


8966484 


65 


12366 


100640 


715139 


802005 


8x153.96 


66 


1 1402 


85238 
78761.2 


614499 


753104 


73133.91 


67 


10477 


52526X.2 


704481 


65602.87 


68 


9591-5 
8745.2 


69169.7 


446500.0 


6562 27 


58558.06 


69 


604245 


377330.3 


6084.80 


51995 79 


70 


7938.0 


52486.5 


316905.8 


5613.94 


45910.99 


71 


7170.2 


45316.3 


2644193 


5151.50 


40297.05 


72 


6442.4 


38873.9 


2x9x030 


4699.48 


35145 55 


78 


5755-2 


33118.7 
28009.6 


x8o2a9 I 


425999 


3044607 


74 


5109. 1 


X47110.4 


3835 32 


26186.08 


75 


45049 


23504.7 


1x9x008 


3427.62 


223S0.76 


76 


39433 


X9561.4 


955961 


303920 


X8923 14 


77 


3424.5 


16136.9 


760347 


2672.16 


15883.94 


78 


2948.9 


13188.0 


598978 


2328.25 


1321X./8 


79 


2516.5 


10671.5 


46709.8 


2009 21 


10883.53 


80 


2126.6 


85449 
6766.3 


360383 


1716.15 


8874.32 
7158 17 


81 


1778.6 


274934 


1449.92 


82 


1471.2 


5295.1 


20727.x 


1210.90 


5708.25 


88 


1202.6 


4092.49 


1543204 


998.93 


4497.35 


84 


970.82 


3121 67 


11339.55 


813.39 


3498.42 


85 


773.36 


2348.31 
1740. 86 


82x788 


653.28 


2685.03 


86 


607.45 


586957 


51709 


2031.75 


87 


470.07 


1270.79 


4128 71 


403.08 


1514-66 


88 


358.08 


912.71 


2857.92 


309.18 


111X.58 


89 


268.28 


64443 


1945.21 


233.16 


802.40 


90 


197.52 


446.91 


1300 78 
85387 


172.70 


56924 


91 


142.76 


304.15 


12555 


39654 


92 


101.21 


202 938 


549.718 


89.48 


27099 


98 


70.307 


132.631 
84 82X 


346.780 


62.46 


181 51 


94 


47.810 


214 149 


42.67 


119.05 


95 


31794 


53027 


129328 


28.51 


76.3a 


96 


20.655 


32.372 


76.301 


18.60 


4787 


97 


13094 


19.2778 


439293 


11.83 


29.27 


98 


80918 


11.1860 


246515 


7-33 


1744 


99 


4.8690 


6.3170 


134655 


4.41 


10.11 


100 


2.8495 


34675 


7- 1485 


2-59 


570 


101 


Z.6200 


I 8475 


3.6810 


1-47 


3-11 


102 


.8936 


.9539 


1.833s 


.81 


1.64 


108 


•4777 


.4762 


.8796 


.42 


.83 


104 


.2472 


.2290 


•4034 


.22 


41 


105 


.1236 


•1054 


.1744 


.11 


.19 


106 


•0597 


•0457 


.0690 


•05 


.08 


107 


.0278 


.0x79 


•0233 


.02 


.03 


108 


.0125 


.0054 


.0054 


.01 


.01 


109 


.0054 


.0000 


.0000 


.00 


.00 



194 Farr's English Table No. 3. — Females. 



Table IIL 

FARR'S ENGLISH LIFE TABLES No. 3, COMMUTATION COLUMNS. 

IHREE PER CENT. FEMALES. 



Age. 


D, 


N, 


s. 


I 


R. 





488255 


9203701 


195913869 
186710168 


205965.03 


370343241 


1 


410175 


8793526 


142106.77 


349746738 


2 


373571 


8419955 


177916642 


ll7449-4*> 


335536061 


3 


349858 


8070097 


169496687 


X04616.37 
9040408 


31*3791x21 


4 


331456 


7738641 


161426590 


3133394.84 


5 


31611a 


7422529 


153687949 


907I4-3J 


3036890.76 


6 


302830 


71 19699 


146265420 


86639.11 


294617645 


7 


290907 
279870 


6828792 


139145721 


83537.17 


285953734 


8 


6548922 


132316939 


80972.38 


3776000.17 


9 


269630 


6279292 


125768007 


78884.66 


2695027.79 


10 


260044 


6019248 


X 19488715 


77152.41 


36x6143 13 


11 


250993 


5768255 


113469467 


75675.06 


253899072 
246331566 


18 


242377 


5525878 


107701212 


7436979 


18 


234116 


5291762 


102175334 


73167 91 


238894587 


14 


226143 
218408 


5065619 


96883572 


72014.26 


231577796 


15 


484721 I 


91817953 


70865.97 


234376370 


16 


210870 


4636341 
4432840 


86970742 


6968943 


317389773 


17 


203501 


82334401 


68461.85 


3103308.30 


18 


196279 


4236561 


77901561 


67166.64 


2C34746 45 


19 


189193 


4047368 


73665000 


6579795 


19675798X 


80 


182238 


3805130 


69617632 


6435341 
62838.06 


X90178X.86 


81 


175415 


3689715 


65752502 


X837428.45 


82 


168809 


3520906 


62062787 


6x341.79 
59866.30 


1774590 39 


28 


162.117 


3358489 


C8541881 


171324860 


84 


156234 


3202255 


55183392 


58414.11 


1653382.30 


85 


150256 


3051999 


51981137 


56986.55 


1594968.19 


86 


144478 


2907521 


48929138 


55584-34 


1537981.64 


87 


138894 


2768627 


46021617 


5420901 


1482397.30 


88 


133501 


2635126 


43252990 


52861.07 


X428188.29 


89 


128292 


2506834 


40617864 


51540.50 


1375327.22 


80 


12326a 
I 18407 


2383572 


381 10030 


50247.69 


1323786.72 


81 


2265165 


35727458 


48982.53 


127353903 


88 


I13721 


2151444 


33462293 


47744.90 


133455650 


88 


109198 


2042246 


31310849 


46535.02 


1176811 60 


84 


104835 


1937411 


29268603 


4535160 


113037658 
1084924.98 


86 


100624 


1836787 


27331192 


4419483 


88 


96562 


1740225 


25494405 


4306347 


1040730.15 


87 


92644 


164758 I 


23754180 


4195769 


99766668 


88 


88864 


1558717 


22106599 


4087599 


955708.99 


89 


8;2i8 


147349Q 


20547882 


39818.22 


914833.00 


40 


81701 


139 1 798 


19074383 


3878328 


87501478 


41 


78309 


1313489 
1238453 


17682585 


37770.75 


836231 50 


48 


75036 


16369096 


3677933 


79846075 


48 


71880 


I166373 


15130643 


35808.93 


701681.42 


44 


68836 


XO97737 


13964070 


34858.35 


725872.49 


45 


65900 


1031837 


12866333 


33927.00 


691014 14 


46 


63068 


968769 


11834496 


3301430 


657087x4 


47 


60336 


908433 


10865727 


321x921 


604073.84 


48 


57701 


850732 


9957294 


31241.48 


591953 63 


49 


55159 


795573 


9106563 


3038039 


5607x2. X5 


50 


52707 


742866 


8310989 


2953525 


53033176 


51 


50343 


692523 


7568123 


2870565 


S00796.51 


58 


48062 


644461 


6875600 


27891.18 


472090.86 


58 


45862 


598599 


6231139 


27091.25 


444190.68 


54 


43741 


554858 


5632540 


2630570 


417108 43 



Farr^s English Table No. 3. — Females. 195 



Tabi.b hi.— Owi/. 

FARRS ENGLISH LIFE TABLES No. 3. COMMUTATION COLUMNS. 

THREE PER CENT. FEMALES. 



Ace. 


D, 


N, 


s. 


M, 

25470.23 


K. 


55 : 


41631 


513227 


5077681 


390802.73 


56 


39571 


473656 


4564455 


24622.22 


36533250 


67 


37560 


436096 


4090799 


23763.86 


340710.28 


68 


35525 


tsr. 


3654703 


22896.46 


316946.42 


69 


33686 


3254205 


22020.76 


294049.90 


60 


31821 


334991 


2887393 


21137.13 


272029.20 


81 


30003 


304988 


2552402 


20245.78 


250892 07 


62 


28230 


276758 


2247414 


19346 80 


230646.29 


68 


26501 


250257 


197 656 


18440.45 


21129949 


64 


24816 


225441 


1720399 


17527.02 


1928^9 04 


66 


. 23174 


202267 


1494958 


1660725 


175332 02 


66 


21573 


180694 


1292691 


15682.00 


15872477 


67 


aooi6 


160678 


1111997 


14753 06 


14304277 
128289.71 


68 


18502 


142176 


95i3»9 


13822.24 


69 


17033 


125143 


809143 


12892 25 


114467.47 


70 


156x1 


109532 


684000 


11966.24 


101575 22 


71 


14238 


95294 


574468 


1104795 


8960898 


72 


12917 


82377 


479174 


I014E.64 


78561.03 


78 


11651 


70726 


396797 


02'.. 1.91 


68419 39 


74 


10444 


60281.5 


326070.7 


838383 


59167.48 


76 


9298.2 


509833 


265789.2 


7542.34 


5078365 


76 


8217.9 


42765.4 


214805.9 


6732.87 


43241.31 


77 


7200.1 


35559-3 


172040.5 


596053 


36508.44 


78 


62656 


29293.7 


1 36481. 2 


5229.83 


3054791 


79 


5398.6 


238951 


107187.5 


4545.38 


25318,08 


80 


4606.6 


19288.5 


83292.4 


3910 56 


20772.7a 


81 


38901 


15398.4 


64003.9 


3328 27 
2800.41 


16862.14 


82 


3248.9 


12 149.5 


48605.5 


13533.87 


83 


26816 


94679 


36456.0 


232774 


10733 46 


84 


2185.8 


7282.1 


26988 I 


191000 


8405 72 


86 


1758. 1 


55240 


19706.0 


1546 02 


6495.72 


86 


1394.4 


4129.6 


14182 


i'233.4i 


494970 


87 ' 


10895 


3040 10 


10052.37 


969.18 


3716.29 


88 


838.00 


2202 10 


7012 27 


74944 


2747. 1 r 


89 


63394 


1568 16 


4810 17 


56981 


199767 


90 


471.25 


1096.91 


3^42.01 


42.S.55 


1427.86 


91 


34392 


75299 


2145.10 


311 Q7 


1002.31 


98 


246.18 


50681 


1392.11 


224.24 


690.34 


98 


17268 


33413 


88530 


i«;788 


466.10 


94 


118.56 


215574 


551.173 


108 80 


308 22 


96 


79 611 


135963 


335 599 


7333 


19942 


96 


52.221 


83742 


199.636 


4826 


126C9 


97 


33427 


50315 


115.894 


3098 


7783 


98 


20.858 


29457 


65579 


>939 


46.85 


99 


12.672 


16 7848 


36.1217 


11 78 


27.46 


100 


7.4882 


9.2966 


193369 


6.99 


15.68 


101 


4.2985 


4.9981 


10 0403 


4.01 


8.69 


lot 


23942 


2 60^9 


5 0422 


2.24 


4.68 


10s 


1.2924 


i3"5 


2 4383 


1 19 


244 


104 


•6752 


6363 


I 1263 


.64 


1-25 


106 


.3410 


•2953 


.4c,o; 


.33 


.61 


106 


.1663 


.1290 


.i9c;2 


.16 


.28 


107 


.0782 


.0508 


.0662 


.08 


.12 


108 


•0354 


•0154 


•0154 


.04 


.04 


!09 


.0154 . 




.0000 







INTRODUCTION TO TWENTY-THREE GERMAN 

OFFICES' TABLE. 

The Twenty-three German Offices* Table is, as its name 
implies, a graduation from the experience of twenty-three 
German companies. It is standard now throughout the 
German Empire. 

The commutation tables have not been before published. 
They are furnished by the kindness of Messrs. Weeks and 
Frankland of the New York Life Insurance Company's 
actuarial force, and were computed for the use of that 
office. 



Twenty-three German Offices' Ta 



TWENTY.THREE GERMAN COMPANIES' MORTALITY TABLE. 



A,.. 


i. 


d. 


Agt. 


1 d. 


n 


103787 


s 


u 


57793 


1900 




101878 


M 


55893 


1976 




loowj 


94a 




S3Q16 


•03B 


M 




919 


H 


51S78 


9097 


*1 


WoBi 


908 




4978. 


3149 


u 


Q8I7J 


887 


M 


4763" 


3197 


u 


97386 




U 


g!i| 


>a46 


M 


944^5 


IS 


«8 


3301 


u 


95590 




40887 


'355 


IS 


94774 


804 


N 


38533 


3399 


rr 


93970 


797 


n 


36133 


3433 


H 


SSI 


Z''* 




33701 


3453 


W 


Soo 




31119 


3455 




9'S78 


S08 




38794 


2436 


SI 




aiE 


T» 


36358 


24&S 


n 


89953 


S3' 


T4 


33953 


3360 




89>a> 


841 










88380 


856 








u 


874*1 


873 




17083 


3W3 


M 


8655. 


8Bg 


71 


14980 


I9(S 


9T 


85663 


906 


n 


1399S 


1848 


» 


84756 


9»S 


M 






n 


838*8 




ti 






u 


83878 


975 


u 


^. 


\X 


*' 


8.903 


1006 


M 


6378 


u 


80897 


"»3S 


H 


(114 


1080 


41 


S 


.063 
1093 


16 


SI 


896 

715 


4t 




1117 




as 


SB? 


4« 


7659^ 


1140 


M 


487 


4T 


7S4SO 
743ST 


r.69 


M 


'349 


394 








955 


309 






1346 




646 


m 




71831 


'303 


M 


4'3 


(1 


70538 


■3&i 


U 


34S 


"3 


U 


69,66 


M35 


«4 




69 




6774" 




U 


61 




M 


66a5i 


1556 






il 


U 


64695 


16^1 








u 


63074 


169. 


SI 


3 


a 


u 


a 


SS 


M 







2CX) 


Twenty -THREE German 


Offices' Table. 










Table II. 








rwE 


SITY-THREE GERMAV COMPANIES' COMMUTATION TABLES. 




D. 1 

1 


f 


OUR PER C 

S. 


ENT. 




^ 


1 
Arc. 


1 


c. 


M. 


R. 


1 


52768 


966826 


15945462 
14978643 


448.71 


13553-09 




17 


367092.00 


18 


50290 


25S§36 


444.27 


13104.38 


353539 57 


19 


47911 


868625 


140621x4 


439.93 


12660. II 


340435.19 


80 


45639 


833986 1 


13193489 


403.39 


13330.19 


327775.08 


81 


43480 


779506 


12370503 


383-14 


11836.90 


315544.89 


£8 


41425 


738081 


11590997 
10852916 


359.88 


11443.76 


303717.99 


88 


39472 


698609 


33590 


I108388 


392274.33 


84 


37618 


660991 


10154307 


313.22 


10747.98 


281 190 35 


86 


35857 


625134 


9493316 
8868182 


294.32 
378.84 


10434.76 


27044237 


86 


34184 


590950 


10140.44 


260007.61 


87 


32590 


558360 


8377333 


265.78 


986160 


349867.17 


88 


31071 


527289 


7718873 


254.92 


9595.82 


340005.57 


89 


29621 


497668 


7191583 


346.66 


9340.90 


230409.75 


80 • 


28335 


469433 


6693915 


239.54 


9094.24 
8854.70 


33x068 8<> 


81 

1 


36910 


442523 


6334482 


233.18 


311974.61 


88 ' 


25642 


416881 


5781959 


337.77 


8631.53 


9031x9.91 


88 


24428 


392453 


5365078 


331.65 


839375 


194498.39 


84 


23366 


369187 


497^^5 


316.93 


8173.10 


186104.64 


35 


22155 


347032 


4603438 


313.73 


7955.18 


177932.54 


36 


3x090 


325942 


4256406 


308.29 


7743.46 


16997736 


87 


30070 


305872 


3930464 


a04.11 


7534.17 


162334.90 


88 


19094 


286778 


3624592 


301. 02 


7330.06 


151700.73 


89 


18159 


268619 


3337814 


X97.88 


7129.04 


14737067 


40 


17263 


251356 


3069195 


195.27 


6931.16 


14034X.63 


41 


16403 


234953 


2817839 


19373 


673589 


133310.47 


48 


15579 


219374 


2582886 


19165 


6543.16 


12657458 


48 J 


14788 


204586 


236^Si2 


189.26 


6350.51 


130072.42 
113^1.91 


44 ^ 


X4030 


190556 


2158926 


X86.95 


6161.35 


45 


13303 


177253 


1968370 


183.87 


5974.30 


107530.66 


46 


1 13608 


164645 


1791117 


180.44 


5790.43 


101546.36 


47 


! I 1943 


152703 


1626472 


177.92 


560999 


95755.93 


48 


1 "305 


141398 


1473769 


176.20 


5432.07 


90145.94 


49 


. 10694 


130704 


1332371 


17533 


5255.87 


84713.87 


50 


10108 


120595.6 


1201667.0 


17630 


5080.54 


79458.00 


51 


95425 


1 1 105 J. I 


1081071.4 


177.19 


4904.24 


7437746 


58 


89983 


102054.8 


970018 3 


178.26 


4727-05 


69473.22 


58 


8474.0 


93580.8 


8679635 


179.22 


4548.79 


64746x7 


54 


7968.8 


85612.0 


7743827 


17996 


4369.57 


60x97.38 


55 


7482.4 


78139.6 


688770.7 


180.37 


4x89.61 


55827.81 


56 


70143 


71115-3 


610641.1 

1 


180.83 


4009.34 


5x638/90 


57 


6563.7 


645516 


1 

539525-8 


180.86 


3828.53 


47628.86 


58 


6130.4 


58421.2 


4749742 
4165530 


181. 13 


3647.66 


43800.34 


59 


5713-5 


527077 


1 180.62 


3466.54 


1 40x52.68 


60 


5313- 1 


473946 


1 3638453 


180.62 


3285.92 


1 36686.14 


61 


4928.2 


43466.4 


316450.7 


179.12 

1 


3105.30 


33400.2a 



Twenty-three German Offices* Table. 



20 1 



Table U.-^ant. 

TWENTY-THREE GERMAN COMPANIES' COMMUTATION TABLES, 

FOUR PER CENT. 



Age. 



97 
98 

99 



D. 



N. 



S. 



62 


4559S 


6S 


4206.9 


94 


3870.5 


66 


3S500 


66 


32447 


67 


29536 


68 


26764 


69 


24133 


70 


2164.3 


71 


1939.6 


72 


1709.6 


78 


1504.8 


74 


*3i4.9 


76 


1 139- 7 


76 


97919 


77 


833.68 


78 


702.93 


79 


586.47 


80 


48374 


81 


392.96 


82 


313-71 


83 


24599 


84 


189.65 


86 


14385 


86 


107.59 


87 


79.883 


88 


58.203 


89 


41.X20 


90 


27.990 


91 


18.205 


92 


11. 191 


98 


6410 


94 


3332 


96 


1542 


96 


0.625 



0.200 
0.064 
0.021 



37906.9 
33700.0 

29839.5 

26279.5 
23034.8 

20381.3 

17404.8 
I499I5 

13837.2 
10897.6 

9188.0 
7683.2 

6368.3 

5228.55 

4249.36 

341568 

2712.75 
3136.38 
1642.54 
1249-58 

935.87 
689.88 
500.23 

356.38 

248.786 

168.903 

110.700 

69.580 

41590 
23-385 

12.194 

5.784 
2.452 

0.910 

0.285 

0.085 
0021 

O.OCX) 



2739843 

2360774 
202377.4 

172547.9 

146368.4 

123233.6 

103152.4 
857476 
707561 
57928.9 

47031 3 

37843.3 
30160.1 

23791.78 

18563.23 

I43I3-87 

10898 19 

8185.44 

6059.16 

4416.62 

3167.04 
2331.17 
1541.39 
1041.06 
684.675 

435.889 

266 9 6 

156.386 

86.706 

45116 

31.731 
9-537 
3-753 
1.301 
0.391 

0.106 
0.021 
0.000 



C. 



177.33 
174.63 
171 66 

168.74 
166 39 

163.58 
160.23 
156 18 

151 41 
145-77 

139-07 
1^2 08 

12457 
11668 
107.85 

9868 

8943 
80.17 

72.17 
64.14 

5565 
46.88 

38.51 
30.73 

23.57 

18.61 
14.84 

11-55 
8708 

6.314 

4-351 
3.831 

1.663 

0.8570 

0.4009 

0.1285 
00412 
0.0198 



M. 



r. 



2926.18 
274896 

2574.34 
2402.68 

223394 

2067 65 
190407 

174384 
1^8766 
1436.25 

1290.48 

115141 

101933 

894 76 

778.08 

670.23 

571.55 
482.12 

40195 
329.78 

365.64 

209.99 

163. II 

124.60 

9388 

7031 
51-70 
36.86 

25 313 
16.605 

10.291 

5940 

3109 
1.4474 

0.5904 

0.1895 
0.0610 
00198 



3029492 

27368.74 
24619 78 

2204544 

19642 76 

17408.82 

15341.17 
13437.10 
11693.26 
10105.60 

8669.35 
737887 
6227.46 
5208.13 

431337 

353S29 
2865.06 

229351 
1811 39 

140944 

1079.66 
814.02 
604.03 
440.92 
316.32 

222.44 
152.13 
100.43 
63.566 
38.253 

21.648 

11-357 
5417 
2.3081 

0.8607 

0.2703 
00808 
0.0198 



202 TWEXTY-THREE GeRMAN OfFICES' TaBLE. 



Table III. 

TWENTY-THREE GERMAN COMPANIES' COMMUTATION TABLES 

THREE AND ONE-HALF PER CENT. 



Age. 


D. 


N. 


s. 


c. 


.M. 


R. 


17 


57273 


I 13856? 


1977/475 


489.37 


16834.60 


486597.22 


18 


54847 


1083716 


186389x2 


486.87 


1634523 


469762.62 


19 
20 


52506 
50257 


IC^I21C 
980952 


17555196 
16523986 


47342 
446.24 


1585836 
1538494 


45341739 
43755903 


81 


481 1 1 


932842 


15543033 


42599 


14938.70 


422x74.09 


88 


46058 


886784 


14610191 


402.07 


I4^I2.7X 


40723539 
392722.68 


88 


44098 


842686 


13723407 


377.o» 


X4110.64 


84 


42230 


800456 


12880721 


353-33 


1373356 


3786x2.04 


86 


40449 


760007 


12080265 


333.61 


13380 23 


364878.48 


86 


38747 


721260 


I I 320253 


317.59 


13046.62 


35149825 


87 
88 


371 19 
35560 


684I4I 
648581 


10599998 
9914857 


.104.18 
293.16 


12729.03 
12424.85 


33845163 
325722.60 


89 


34064 


6145 I 7 


9266276 


285.02 


1213X.69 


3x3297.75 


SO 


32627 


581890 


8651759 


278.14 


1x84667 


301x66.06 


SI 


31246 


5506+4 


8069869 


272.06 


11508.53 


28931939 


S8 


29917 


520727 


75x9225 


267.04 


1x296.47 


27775086 


S8 


28638 


492o8g 


6998498 


261. IX 


11029.43 


266454.39 


S4 


27409 


464680 


6506409 


256.78 


10768.32 


255424.96 


S5 


26225 


4384-5 


6041 72Q 


253.02 


10511.54 


244656.64 


S6 


25086 


413369 


5603274 


248.95 


10258.52 


234145.X0 


S7 


23988 


389381 


5189905 


245- 13 


10009.57 


223886.58 


S8 


22932 


366449 


4800524 


242.59 


976444 


ax3877.ox 


S9 


21914 


344535 


44.M075 


23994 


9521 85 


204112.57 


40 


209^3 
19987 


323602 


4089540 


23793 


9281.91 


194590.72 


41 


303615 


3765938 


237.19 


904398 


185308.81 


48 


19074 


284541 


3462323 


23578 


8806.79 


176264.83 


4S 


18193 


266348 


3177782 


23397 


8571.01 


167458.04 
158887.03 


44 


17344 


249004 


2911434 


23223 


833704 


46 


16525 


232479 


2662430 


22951 


8104.81 


150549.99 
142445.18 


46 


15737 


216742 


2429951 


226.3X 


787530 


47 


14978 


201764 


2213209 


224.22 


7648.99 


134569.88 


48 


14248 


187516 


2011445 


223.13 


7424.77 


126920.89 


49 


13543 


173973 


1823929 


223. 10 


7201 64 


119496.1a 


60 


12862 


161X11 


1649956 


22542 


6978.54 


112294.48 


61 


12201 


X48910 


1488845 


227.66 


675312 


10531594 


68 


1 1561 


13734Q 


1339935 


230.13 


652546 


98562.82 


63 


10940 


126408.9 


1202586 


232.49 


6295.33 
6062.84 


92037.36 


64 


10337.6 


116071.3 


X076177 


23458 


85742.03 


66 


97534 


106^17.9 


96010S.9 


236.12 


5828.26 


7967919 


66 


9187.4 


97130.5 


853788.0 


237.98 


5592.14 


73850.93 


67 


8638.8 


88491.7 


7566575 


239. x8 


5354-16 


68258.79 


68 


8107.4 


80384.3 


668165.8 


240.68 


5114.98 


62904.63 


69 


7592.6 


72791 -7 


587781s 


24X.18 


487430 


5778965 


60 


70947 


656070 


514989.8 


242.34 


463312 


52915.35 


61 


6612.4 


590846 


449292.8 


241.49 


4390.78 


48282.23 


.., 






_ - _ 









Twenty-three German Offices* Table. 



203 



TABLE III.— Cont. 

TWENTY-THREE GERMAN COMPANIES" COMMUTATION TABLES. 

THREE AND ONE-HALF PER CENT. 



Age. 



62 
68 
64 
65 
66 

67 
68 
69 
70 
71 

72 
78 
74 
76 
76 

77 
78 
79 
80 
81 

82 
88 
84 

86 
86 

87 
88 

89 
90 
91 

92 

98 
94 
96 
96 

97 
98 
99 



D. 



6147-3 

56993 
5268.9 

48559 
44598 

4079-3 

3714.3 

3365.3 
3032.6 

2716.9 

2418.8 

21393 
18783 
16360 
I412.3 

1208.3 

1023.73 

858.21 

711.30 

580.61 

465.76 
366.98 
284.30 
21608 
162.85 

iai.49 
88.95 

63.14 

43.19 
28.33 

17.44 
10.03 

524a 

a.437 

0.993 

0.320 
o 103 

0033 



N, 



529373 
47238.0 

41969.1 
371132 
326534 

28574.1 
24859.8 

21494.5 
18461.9 

15745.0 

13326.2 

1 1 186.9 

9308.6 

7672.6 

6260.3 

5052.02 
4028.29 
3170.08 
245878 
1878.17 

1412.41 

1045.43 
761.13 

544-45 
381.60 

260 II 

171. 16 

108.02 

64.83 

36.60 

19.16 
9.128 
3.886 

I 440 
0.456 

0.136 
0033 
0.000 




390208.2 
337270.9 
290032.9 
248063.8 
210950.6 

178297.2 
149723. 1 
124863.3 
103368.8 
84906.9 

69161.9 

55835.7 
44648.8 

35340.2 
2761)7.6 

21407.3 

163553 
12327.0 

9156.9 

6698.16 

4819.99 

3407.58 
2362.148 
1601.018 
1056.568 

674. q68 
414.858 
243.698 
135.678 
70.848 

34.248 
15.088 

5960 
2.074 
0.625 

0.169 
0.033 
0.000 



240.08 
237.72 
234.81 

231.93 
229.67 

227.01 

223.43 
318.85 

213.19 

206.23 

197.71 
188.67 
178.81 
16833 
156.31 

143-71 
133.86 
117.89 
io6.6j 

95-23 

83.03 
70.27 
58. 0[ 

46.50 

3585 
28.44 

22.80 
17.82 

13-50 
9.837 

6.812 

4 453 
2 627 

1.361 

0.640 

o.ao6 

0.0664 

0.0321 



M, 



4149.29 
350921 

3671.49 
3436.68 

3204.75 

2975.08 

274807 

2524.64 

230579 
3092.60 

1886.37 
1688.66 
1499.99 
1321.18 
1152.88 

996.57 
852.86 

722.00 

604. I [ 

497.48 

402.36 
3'9.a3 
248.96 
190.95 

144-45 

10860 

So. 16 

5736 

39-535 
26.035 

16.198 
9.386 

4-933 
2.300 

0945 

0305 
0.0985 

0.0321 



Rk 



43891.45 
3.^742.16 

35832-95 
33161 46 

28724.78 

25520.03 

22544-95 
19796.88 

17373.24 

14966.45 

12873.85 

10987.48 

9298.82 

7798-83 

6477.65 

S32477 
4328.20 

3475-34 

2753-34 
2149.23 

1651 75 

1249.49 

930.26 

681.30 

49035 

34590 

237.30 

157.14 
99.78 

60239 

34204 

18.006 

8620 

.r637 

1381 

0436 
o 1306 
0.0321 



204 



Twenty-three German Offices' Table. 









Table IV. 






TWENTY-THREE GERMAN OFFICES— COMMUTATION TABLES. 

THREE PER CENT. 


Age. 


D. 


N. 


s. 


' c. 


M. 


R. 


17 
18 
19 

to 

81 


62188 

59843 
57506 

55368 
53261 


1347790 
1287947 
1230381 

1175013 
I121752 


24679861 

23332071 
22044124 
20813743 
19638730 


, 553 94 
533 79 
521.56 
494.0X 
473.88 


21120.77 
20586.83 
20053.04 
19531.48 

19037.47 


650080.37 
628959.60 
608372.77 

588319 73 
568788.25 


n 

88 
84 

26 

26 


S1236 
49294 
47435 
45654 
43946 


1070516 

1021222 

973787 

928133 

884187 


18516978 
17446462 
16425240 

15451453 
14523320 


449 44 
423.56 
39880 

37838 
36195 


18563.59 
18114.15 

17690.59 
17291.79 
16913.41 


549750.78 
531187.19 

51307304 

495382.45 
478090.66 


27 • 

88 

89 

80 
81 


42304 
40724 

39200 

37/5*9 
36307 


841883 
80x159 

761959 
724230 

687923 


13639133 
12797250 

1199609X 

11234x32 

10509902 


34835 
33736 

32959 

32319 
3x7.66 


16551 46 

16203 IX 

1586575 
15536-16 

15212.97 


46x177.25 

44462579 
42842268 

4x2556.93 

397020.77 


88 
88 
84 

86 

86 


34932 
33601 

32315 
31069 

29863 


652991 
619390 

587075 
556006 

526143 


9821979 
0168988 

8549598 
7962523 
7406517 


31331 
30784 
30421 
301 2X 
297.80 


1489531 

14582.00 
14274. x6 

1396995 
13668.74 


381807.80 
366912.49 

352330.49 

33805633 
324086.38 


87 
88 

89 
40 
41 


2869s 

27565 
26469 

25407 
24377 


497448 
469883 

443414 
418007 

393630 


6880374 
6382926 

59x3043 
5469629 
5051622 


294.66 
293.02 

291.23 
290. X9 
29069 


13370.94 
13076.28 

12783.26 

X2492.03 

12201.84 


310417.64 
ogrfo^ 70 
383970.42 
27x187.16 
258695.13 


48 

48 
44 

46 

46 


23376 
82405 
21463 

20549 
19664 


370254 

347849 
326386 

305837 
286173 


4657992 
4287738 

3939889 

3613503 
3307666 


290.36 

28953 
28877 
286.78 
284. x6 


1191115 
11620.79 
X1331.26 
1x042.49 
10755-71 


24649329 
234582.14 

222961.35 

2XX630.09 

200587.60 


47 
48 
49 
60 
61 


18807 
17976 
17170 
16385 
15619 


267366 

249390 
232220 

215835 
200216 


3021493 
2754K17 

2504737 
22725x7 

2056682 


282.90 
282.88 
284.22 

288.57 
292.85 


10471 55 
10188.65 

990577 
962155 
933298 


189831.89 

179360.34 
16917X 69 
159265.92 

'49^37 


68 
68 
64 
66 

66 


14872 
14141 

13427 
12730 

12049 


185344 
1 71 203 

157776 
145046 
132997 


X856466 
1671x22 
1499919 
1342143 
1 197097 


29747 
301.98 
306x7 
30967 
31363 


9040.13 
8742.66 
844a 68 

^£34-51 
7824.84 


1403" 39 
13x271.26 

122528.60 

11408792 

10595341 


67 
68 

69 
60 
61 


"385 

10737 

10104 
94868 
8884 8- 


121612 

110875 

100770.6 
91283.3 
82399.0 


1064x00 
942487.7 
831612.7 
730842 I 

639558.3 


316.74 
320.28 

32249 

32>.62 

326 06 


7qii.2x 

7194.47 
6874.19 

6551.70 
6226.08 


98128.57 
90617.36 
83422.89 

76548.70 
69997.00 



Twenty-three German Offices* Table. 



205 



Table IW.-Cont. 

TWENTY-THREE GERMAN OFFICES— COMMUTATION TABLES. 

THREE PER CENT. 



Arc. 


D. 


X. 


S, 


C, 


M, 


R. 


6S 


8300.0 


740990 


557159.3 


32573 
324-08 


59CO.02 


63770.92 


6S 


77335 


66366.5 


483060.5 


5574.29 


57870.90 


64 


7183.2 


59183.3 


4166938 


32167 


5250.21 


52296.61 


66 


6652.3 


53531.0 


357510 5 


319.27 


4928.54 


47046.40 


66 


6139.3 


46391.7 


304979.5 


317.70 


4609.27 


42117.86 


67 


5643.8 
5162.9 


40748.9 


258587.8 


315.55 


4291.57 


37508.59 


68 


35586.0 


217838 9 


312.08 


3976.02 


33217.02 


69 


4700.4 


30885.6 


182252.9 


30716 


3663.94 
3356.78 


29241.00 


70 


4356.4 


26629.2 


151367.3 


300.66 


2557706 


71 


38317 


22797.5 


124738. 1 


292.26 


3056 12 


22220.28 


72 


3427.9 


19369.6 


101940.6 


281.55 


2763.86 


19164.16 


78 


30465 


16323 I 


82571.0 


269.99 


2482.31 


16400.^0 


74 


2687.8 


136353 


66247.9 


257.11 


2212.32 


1391799 


76 


33524 


I 1282.9 


52612 6 


243.17 


1955.21 


11705.67 


76 


2040.7 


9242.2 


41329.7 


226.95 


1712.04 


9750.46 


77 


1754-3 


74879 


32087.5 


209.67 


1485.09 


8038.42 


78 


1493.5 


5994.4 


24599.6 


191.85 


1275.42 


655333 


79 


1258.2 


4736.2 


18605.2 


173.67 


1083.57 


5277.91 


80 


1047.8 


3688.39 


13869.05 


157.85 


909.90 


4104-34 


81 


859.48 


2828.91 


10180.66 


141.64 


75205 


3284.44 


• 
88 


692.81 


2136.10 


7351 75 


124.10 


610.41 


2532.39 


88 


548.53 


1587-57 


5215 65 


105.54 


486.31 


1921.98 


.84 


427.01 


1160.56 


3628.08 


8755 


380.77 


1435.67 


85 


327.02 


833.54 


2467.52 


70.52 


293.22 


1054.90 


86 


246.98 


586.56 


1633.98 


54.63 


222 70 


761.68 


87 


185.15 


401.41 


1047.42 


43.55 


168.07 


538.98 


88 


136.21 


265.203 


646006 


35.08 


124.52 


370.91 


89 


97.136 
66.781 


168.040 


380.803 


27-55 


89.44 


246.39 


90 


101.259 


212,763 


20.98 


6r.89 


156.95 


91 


43858 


57.401 


111.504 


15-36 


40.91 


95.06 


92 


27.222 


30.179 


54.103 


10.69 


25.55 


54.15 


98 


15.743 


14.4359 


23.9243 


7.021 


14.863 


28600 


94 


8.2633 


6.1726 


9.4884 


4 162 


7-842 


. 13-737 


95 


3.8605 


2.3121 


3.3158 


2.167 


3.680 


5-895 


96 


1.5812 


0.73092 


1. 00371 


1.023 


1.513 


2.215 


97 


0.51 172 


0.21920 


0.27279 


0.3312 


0.4904 


7016 


98 


0.16561 


O.Q5359 


0.05359 


0.1072 


0.1592 


0.2112 


99 


0.05359 


0.00000 


0.00000 


0.0520 


0.0520 


0.0520 



I 



THE FRENCH ACTUARIES' (A. F. AND R. F.) 

TABLES. 

The French Actuaries' Tables are drawn from the com- 
bined experience of four French companies and were com- 
piiied and adjusted by a committee of French actuaries. 
The tables were at first prepared according to Woolhouse's 
formula, but this work was discarded and a new gradua- 
tion ipade by Makeham's formula. The tables were pub- 
lished in complete form in ** Tables de Mortalite,*' in 1895. 

In making the tables, the sexes were not separated; but 
tables were separately computed on the lives of insured and 
annuitants. The former is called A. F. (Assurances Fran- 
9ais or French Insurance) and the latter R. F. (Rentiers 
Fran^ais or French Annuitants.). 

Commutation columns are given at three per cent, three 
and one-half per cent and four per cent on both the A. F. 
and the R. F. tables. 



French Actuaries' Table — Assurances. 209 

Table 1. 
french actuaries' mortality table, assurance (a f). 



9' 7939 
I 903486 
I 8937*5 

884754 
: 878676 
I 87393" 
I 870056 



796786 
791780 

' 781578 
I 776368 



689777 

674058 Bjaq 



1 "• 




, -0360!, 


.04181 


1 .oi7« 


.031 86 


! .<Ho85 


■"415 


; .01575 


.oiBai 


1 .01187 


-QI370 


1 .00897 


.0^ 


.00540 


■0060s 


.oat43 


.0048; 


,00388 


.00410 


:^^ 


.00373 
,0036a 


.<»3S7 


■00374 


, .»4« 


.00403 


.00466 




-00^15 


•00491 


.00565 


.OOS4J 


.006.0 




.00648 


.0063^ 


■0067s 




.00690 




a 


'oo6i» 


-006S3 




oo&ti 


.00603 


.oo6a3 


.oo6j; 




.00636 


.00^3 


.0364B 


.00667 




.00683 


.CU676 


.00098 


■^0 


.00717 




.00736 


.01710 












00797 


.00835 ' 




.oo8',>6 1 




.00899 1 


.00BS6 


.00936 


,O09»i 


•00975 1 




.01019 




.01066 1 






01097 




.01153 


;oi236 


:oI"6 


iol^ 


■01347 


.0.436 


■01425 


;3 


■01509 


■ OltlOT 


.oi74» 


.01703 



II79S 
13348 
13924 



394851 . 
1 374918 
' 354468 

■ 33*567 
313299 

■ =90759 

"47333 
335714 



'073S4 
91047 
76094 



.03146 
.03380 
.03653 



■32J3I I 

■34575 1 
■37043 

■39630 1 



^66891 



2IO French Actuaries* Table — Assurances. 









Table II. 






COMMU lATION TABLES, FRENCH ACTUARIES' ASSURANCE 






(A. F.l 


1. FOUR PER CENT. 






>K'. 


D. 

lOOOOOO.O 


N. 


s. 


c. 


M. 


' R. 





18979936.0 


362935557 


353156 


336128 


5356451 


1 


926908.7 


1805^017.3 


343955631 


24983.1 


aoo8i3 


5120324 


2 


866760.2 


17186257. 1 


325902613 


177232 


175829 


4919512 


8 


816044.4 


16370212.7 


308716356 


12599.2 


158106 


4743685 
4585578 


4 


7723035 


155979092 


292346143 


89864 


145506 


6 


7337879 


14864121.3 


276748234 


6456.6 


136520 


4440072 


6 


699234.0 


14164887.3 


261884113 


4710.3 


130063 


43035.52 


7 


667721.4 


13497165.9 


247719226 


35350 


125353 
laiSiS 


4173489 


8 


6385736 


12858592.3 


234222060 


2777.2 


4048136 


9 


61 1289.7 


12247302.2 


! 221363467 


2323.1 


119041 


3926319 


10 


585500.7 


11661801.9 


1 209116165 


2090.0 


116718 


3807278 


11 


560931.9 
537385.1 


111008700 


' 197454363 


20115 


I 14628 


3690561 


18 


10563484.9 


186353493 


20333 


112616 


3575933 


18 


514717.8 


10048767.1 


1757900:8 


2130.1 


110578 


3463317 


14 


492832.2 


9555934-9 


165741241 


2253.7 


108448 


3352739 


15 


471667.2 


9084267.7 


156185306 


2383.2 


106194 


3244291 


16 


4511893 


8633078.4 


147101038 


24978 


103811 


3138097 


17 


431386.5 


8201691.9 


138467963 


2580.0 


101313 


3034286 


18 


412265 


7789426.9 


130266268 


2619.2 


98732.9 


2932973 
2834240 


19 


393840.2 


7395586 7 


122476841 


2607.8 


96113.7 


20 


37«>i35-3 


70194514 
6660278.8 


115081255 


2545.5 


935059 


3738126 


21 


359172.6 


10JB061803 


2436.4 


90960.4 


2644630 


22 


342969.2 


63173096 


101401524 


22914 


88524.0 


2553660 


23 


327531 I 


5989778 5 


95084215 


21265 


862326 


2465136 


24 


312848.5 


5676930.0 


89094436 


1966.3 


84106.1 


2378903 


25 


298887.8 


5378042 2 


83417506 


1841.3 


821398 


2394797 


26 


285586.6 


5092455.6 


78039464 


1792.16 


80298.53 


2312657 


27 


272845.1 


4819610.5 


72947.08 


1746.22 


78506.37 


2132359 


28 


260638.7 


4558971.8 


68127398 


1703.75 


76760.15 


2053853 


29 


2489435 


4310028.3 


63568426 


1664.44 


75056.40 


1977092 


30 


237736.7 


4072291.6 


59258398 


1628.09 


73391-96 


1902036 


31 


226996.5 


3845295.1 


55186106 


1594.89 


71763.87 
70168.98 


1828644 


82 


216701.9 


3628593 2 


5134081 I 


1564.55 


1756880 


38 


iju6833.i 


3421700 1 


47712218 


1537.05 


68604.43 


1686711 


84 


197370.8 


3224389.3 


44290458 


1512.26 


67067.38 


1618107 


85 


188296.7 


3036092.6 


41066069 


1490.23 


65555.12 


1551039 


36 


179593-3 


2856499 3 


38-29976 


1470.66 


64064.89 


1485484 


37 


171243.7 


2685255.6 


35173477 


1453.75 


62594.23 


1421419 


38 ! 


163231.9 


2522023.7 


32488221 


1439 13 


61140.48 


1358825 


39 1 


1555427 


2366481.0 


29966197 


1426.94 


59701.35 


1397685 


40 


148160.9 


2218320. 1 


27599716 


141705 


58274.41 


M37983 


' 41 


141072.9 


2077247.2 


25381396 


1409.29 


56857.36 i 


1179709 


42 


134263 I 


1942982.1 


23304149 


140358 


55448.07 


I 122053 


43 


127724.8 


1815257.3 


21361167 


1399.96 


54044-49 


1067403 


44 


121439 5 


1693817.8 


19545910 


1398-22 


52644.53 


1013359 


45 


"53977 


1578420.1 


17852092 


1398.28 


51246.31 


9607144 


46 


109588.2 


1468831.9 


16273672 


1399.98 


49848.03 


909468.1 
859630.1 


47 


104000.5 ' 


1364831 36 


14804840 


1403.27 


48448.05 


48 


98624.45 


1266206.91 


13440008 


1407.96 


47044.78 


811172.0 


49 


9345057 


1172756.34 


12173802 


141393 


45636.82 


764127.2 



French Actuaries* Table — Assurances. 



211 



Table ll.^Cont. 

COMMUTATION TABLES, FRENCH ACTUARIES' ASSURANCE 

(A. F.). FOUR PER CENT. 





- 


- 


. — 


1 


Age 


n. 

1 


N. 


s. 


c. 


Mi R. 

• 


50 


88469.88 


1084286.^6 
1000612 65 


II00IQ45 


1420.98 


44222.89 


718490.4 


51 


83673.81 


9916758.7 


1428.96 


42801.91 


674267-5 


5t 


7905436 


921558.29 


8916146.1 


'^3?S? 


4137295 


631465.6 


63 


74604.07 


846954.22 


7994587.8 


1446.86 


39935-26 


590092.7 


64 


70315.90 


776638.32 
710454.88 


71476336 


1456.31 


38488.40 


5501574 


66 


66183.44 


63709952 


146574 


3703209 


SI1669.0 


66 


62200.64 


648254.24 


5660540.4 


147491 


35565.35 


474636.9 


67 


58362.05 


589892.19 


5012286 I 


1483.41 


34091 44 


4390706 


61 


54662.76 


53522943 


4422393.9 


1490.96 


32608.03 


404979.1 


69 


51098.34 


484131 09 


3887164.5 


1497.22 


3111707 


372371 1 


M 


47664.90 


436466 19 


3403033.4 


1501.73 


29619.85 


341254.0 


61 


H35908 


392107.11 


3966567.2 


1504.11 


28118.12 


3116342 


6S 


41178 06 


350929.05 


2574460.1 


150394 


26614.01 


2835161 


63 


38119.56 


312809.A9 
27/627.67 


2223531. 1 


1500.75 


25110.07 


256902.1 


64 


35181.82 


1910721.6 


1494.07 


23609.32 


2317920 


66 


32363.63 


245264.04 


1633093.9 


1483.45 
1468.45 


22115.25 


208182.7 


66 


29664.23 


215599.81 


1387829.9 


20631.80 


186067.4 


67 


27C83.37 


. 188516.44 


11 72230. 1 


1448.63 


19163.35 


165435 6 


68 


24621 22 


163895.22 


983713.6 


1423.55 


17714.72 


146272.3 


69 


22278.35 


141616.87 


819818.4 


1392.91 


16291.17 


128557-5 


70 


2005564 


121561.23 


678201.5 


1356-395 14898.26 


112266.4 


71 


1795423 


103607.00 


556640.3 


1313.823 


13541.87 


97368 11 


79 


1597538 


87631.62 


4530333 


1265.103 


12228.04 


8382625 


78 


X4120.41 


73511.21 


365401.7 


1210.276' 10962.94 


71598.21 


74 


12390.55 


6112066 


291890.5 


1149537 


9752.663 


60635.27 


76 


10786.79 


50333870 


230769.8 


1083.259 


8603.126 


50882.61 


76 


9309.700 


41024.170 


1804359 


10 1 1 949 


7519 867 


42279.48 


77 


7959-343 
6735048 


33064.827 


139411.762 


936.3.57 


6507.9:8 


34759^1 


78 


26329.779 


106346.935 


857-3851 5571 S6i 


28251.69 


79 


5635279 


20694.500 


80017.156 


776.116 4714.176 


22680.13 


80 


4657.498 


16037.002 


59322.656 


693.756, 3938060 


17965.96 


81 


3798082 


12238.920 1 


43285.654 


611.6701 3244304 


14027.90 


88 


3052.218 


9186.702 


31046.734 


531. 226 j 2632.634; 10783.59 


83 


2413.917 


6772.785 


21860.032 


453.819' 2101.4081 8150.959 


34 


1876 L.72 


4896.713 


15087.247 


380766! 1647.5^89. 6049.551 


86 


1430.546 


3466.167 


10190.534 


313.244 1266 823 


4401 C/2 


86 


1068365 


2397.8021 


6724.3672 


252.210' 953.579 


3135.13V 


87 


7799668 


1617.8353 


4326.5651 


198.342- 701.369 


2181.560 


88 


5554772 


1062.3581 


2708.7298 


152.031 503.027 


1480.191 


89 


3850372 


677.3209 


1646.3717 


113 3^5, 350.996 


977.164 


90 


259.1249 


418 i960 


969.0S08 


81.895; 237.691 


626.168 


91 


168.8525 


2493435 


550.8548 


57.248 155 796 


3^8.477 


98 


106.2221 


143. 12136 


301.51127 


38.58t; 98.548' 232.681 


98 


64.30267 


78.81869 


158.38991 


24.988 59 963 


134 1.^3 


94 


3732667 


41.49202 


79.57122 


15.494 34.975 


74.170 


96 


20.69731 


20.79471 


38.07920 


9.1631 19.481 


39 195 


96 


10.91609 


9.878020 


17.284485, 


5.145 10.318 19.714 


97 


5452030 


4.425990 


7.406465, 


2.730 5173 9-39^ 


98 


2.565322 


1.860668 


2.980475 


1.363 2443! 4223 


99 


I 131017 


0.729651 


1 . 1 19807 


0.636 


1.080 


1.780 



!i2 Fk£.n<jh Actuaries' Table — Assurances, 

Tablc III. 

COMMUTATION TABLES. FRENCH ACTUARIES* ASSURANCE 

(A F). THREE AND ONE-HALF PER CENT. 



Age. 


B. 




" s. 


C. 


M. 


«. 


~ 


looocxno 


30876419.6 


436306796 


35400-B 


364733.4 


6B37'Q. 




■93''386 6 


'994^-0 


405430376 


35164,4 


329333.6 


6573371 


J 


i;s: 


iBsiiiigls 


mi^& 


imi 


304108,3 

ii63302 


» 


4 


787.'3S.7 


I74S46>3.9 


3^X 


9.83.4 


'734167 


5953640 




7S.M44 

719748.0 


167039395 


63300 


164233-3 


5779334 




15983181,5 


314015067 


4860.1 


157603.3 


561499a 




6906314 


1SS93550O 


398033786 


3665.3 


1537431 


5457^ 




663674.0 


14638876.1 


383740336 


2893,3 


■49^78.0 






638387 


.3990.89.1 


3681.1360 

354130871 


2433.0 


146184.7 






6.4408,6 


133:6080.5 


3.98.3 


14375*7 


500^ 




59>47"-5 


137846.0.0 


^"744790 


31363 


M'5S4 1 


4865639 




5^379.0 




327960180 


3.64.9 


139437.9 


471407s 




547996-9 


"667333 9 




3^3 3 


137363.0 


4584647 


14 


537331.1 


11.400038 


3a40777i5 


34169 


134989.7 


44473*4 


li 


5070^-4 


10633976.4 


'9a9377'3 


3568.0 


133573.8 


4313395 


IS 


487356.3 


.O.+563Q.. 


.83304736 


3704.fi 


13000,8 


4i7SA3» 


IT 


4683.7.3 


9677402 a 


173.59116 


3S07.0 


137300.3 


4049817 


11 


4496*47 


9337778-1 
B7961737 


.6^1.7.3 


3863.4 


"4493 3 


39SaS'7 




431605.4 


IS3»5393S 


1864.7 


131639.9 


3798033 




4 14 1 94.2 


838.978.5 


'44457763 


.809,9 


118765., 


^7^ 




PIS! 


79S45S».7 


■36<»75794 


3703.4 


"5955.3 




7603333-9 


.2809,331 


as.wg 


113353.9 


3441673 




36m>44 


733739a 5 


130488008 


3381.5 


Jl^o 


33381 JO 




3Si«9.2 


6886389.3 


.13350710 






3317731 


U 




6548931 6 


.0636463. 


3o8ai 


3109404 




333709.6 




99815689 


2036.30 




3003399 


n 


310761.4 


59H1606 


g359a^67 


.993.b3 




28992^ 






56.6.67.9 


87676006 


1954 59 


9099374 


3797390 


IS 


386184:3 


5339883.6 


82059839 


1918.7J 


98038.5 


«59;397 


*i 

3* 


374717.3 

SSI 


S05S'«,4 
4791593.8 


ss 


I839.si 


96119.43 
94333.54 
9333719 


3S9WS9 

23S 


M 


343187.3 
"'8935 


IS^3 


& 


xr^ 


n^it 


Sgg 




38408647 


S3984411 


1768.39 


8695519 


3.37240 


M 


313617.9 
304670.5 


3637346. 8 
34335763 


SiSJ 


»753.5i 
1741,73 


85IS6.90 
8343339 
81691.^ 


13 


3i 




3>36S39 


43093733 


1733.53 






30388340 


39867184 


1736.5 


7095915 


'799973 






3859.73^ 


36838350 




78333.00 


1730014 




171893,3 


36873809 


33969177 




765 'o 53 


16,1781 


4E 


.6,387; 


3533893.4 


3138.896 


1733,153 


74789,3a 


1565371 




■571333 


336.758.. 


38759003 


1736.48 


7306660 


.490481 


44 


15^114 5 


3315633.6 


36393344 


.733.66 


71340-M 


1417415 


46 


'SXl 


307338B.9 


34I776II 


1741.11 


69607.46 


1346075 




■93S503 


33105333 

2016;S,9 


■7." 64 


67866.3s 






130436.5 


1805064.5 


176424 


661.4. 71 






.34393.4 
I 18341.9 


1680771.1 


■8364754 


1778.69 


64350.47 


1143486 


4B 


15634393 


.66839S3 


1794B7 


63571.78 


1P78136 



French Actuaries' Table — Assurances. 213 



Table III— Cont. 

COMMUTATION TABLES. FRKNCH ACTUARIES' ASSURANCE 
(A F), THREE AND 0\E-HALF PER CENT. 



• 

< 


D. 


N, 


S, 


c. 


M. 

60776.91 


R. 


so 


i"575.8 


1449853 4 


15121554.0 


I8I253 


1015564 


51 


106987.3 


1312866.2 


13671700.6 


183151 


58964.38 


954786.9 


5S 


101569.0 


1241297.16 


12328834.5 


i8(;i.6o 


57132.87 


895822.6 


53 


96314.36 
91216.85 
86270.80 


1144982.80 


11087537.3 


1872.43 


55281.27 


838689.7 


54 


1053765-95 


9942554.5 


189375 


53408.85 


7834084 


65 


967495-15 


8888788.6 


1915.31 


51515-10 


7299996 
678484.5 


56 


81470.87 
76812.36 


886024.28 


7921293.4 


193651 


4959989 


57 


809211.92 


7035269.1 


1957.08 


47663.38 


628884.6 


51 


73291.13 


736920.79 


6226057.2 


1976.55 


45706.30 


581221.2 


59 


67903.67 


669017.12 


5489136.4 


1994.43 


43729 75 


'535514.9 


M 


63647.03 


605370.09 


4820119.3 


30I0.10 


41735 33 


491785.1 


61 


59518.90 


545851.19 


4214749.2 


2023.02 


39725.23 


450049.8 


6S 


55517.67 


490^3352 


3668898.0 


2032 56 


37702.21 


410324.6 


6S 


51642.38 


438691.14 


3178564.5 


203805 


35669 65 


372622.4 


64 


47892.74 


390798.40 


2739873.4 


2038.78 


33631.60 


336952.7 


65 


44369.19 


346529.21 


23490750 


2034.07 


31592.82 


303321.1 


66 


4077379 


3 '5756.42 


2002545.8 


2023 23 


29558.75 


271728.3 


67 


37405.29 


268351.13 


1696789.3 


2005.55 


2753552 


242i6.).6 


66 


3416905 


234182.08 


1428438.2 


1980.36 


25529.97 


214634.0 


69 


31067.01 


303115.07 


1194256.1 


1947.09 


2354961 


189104.1 


70 


28102.56 


175012.51 


991141.1 


1905.209 


31602.52 


165554.5 


71 


2527952 


149732.99 


816128.6 


1854.326 


19697.32 


143951-9 


79 


22601.97 


127131.02 


666395.6 


1794.188 


17842.99 


124254.6 


73 


30074.08 


107056 94 


539264.5 


1724.724 


16048.80 


106411.6 


74 


17699.95 
15483.40 


89356.99 


432207.6 


1646.082 


14324.08 


90362.82 


75 


7387359 


342850.6 
268977.0 


1558.669 


13678.00 


76038.74 


76 


13437.74 


6044585 


1463096 


1111933 


63360.75 


77 


"535-53 
9808.304 


48910.320 


208531.179 


1360344 


9656.230 


52241.42 


76 


39102.016 


159620.859 


1251.631 


8296.886 


42585 19 


79 


8246.349 


30855667 


120518.843 


1138.467 


7044.255 


34289-31 


90 


6848.444 


24007.223 


89663.176 


1022.571 


5005.788 


2724505 


91 


5611.728 


18395-495 


65655-953 


905935 


4883.217 


21339.26 


99 


4531.486 


13864.009 


47260.458 


790591 


3977.282 


16456.05 


93 


3601.145 


10262 864 


33396.449 


678 654 


3186.691 


13478.77 


94 


3812.295 


7450 569 


23133585 


572.159 


2508.037 


9392.074 


95 


2154794 


5295 775 


15683.016 


472.972 


1935878 


6784.037 


96 


1617.026 


3678749 


10387.241 


382.654 


1462.900 


4848.159 


97 


1186.233 


2492 525s 


6708.4928 


302.379 


1080.252 


3385253 


99 


848.8859 


1643.6396 


4215-9673 


232.896 


777873 


2305.001 


99 


591-2605 


1052.3791 


2572.3277 


174.411 


544-977 


1527- 128 


90 


3998326 


652.5465 


1519 9486 


126.670 


370.556 


982.152 


91 


261.8001 


3907464 


867 4021 


88.97s 


243.896 


611.586 


98 


165.4892 


225.25719 


476 65578 


60.259 


154 921 


367.690 


99 


100.66467 


124.59252 


251.3985^ 


39.212 


94.662 


212.759 


94 


58.71653 


6587599 


126 80607 


24432 


55450 


118.107 


95 


32.71509 


33.16090 


60.93008 


14.518 


31.018 


62.657 


96 


17.33876 


15.822135 


27.769184 


8.191 


16.499 


31 639 


97 


8.701182 


7.120953 


11.047049 


4368 


8308 


15-140 


M 


4.113912 


3.007041 


4.826096 


3.I9I 


3-941 


6.832 


09 


1.833533 


1. 184508 


1.819055 


1.027 


1.750 


2.891 



I 



214 



French Actuaries* Table — Assurances. 



TABLE IV. 

COMMUTATION TABLES, FRENCH ACTUARIES' ASSURANCE 

(A h), THREE PER CENT. 



Age. 



Di 



N. 



C. 



M, 






ICXXXXX) 


23124696.2 


i 505068944.1 


35486.6 


3017664 


1 


9359079 


22188788.3 


481944247 9 


25347.8 


266279.8 


2 


883672.4 


21305115.9 


459755459-6 


18156.5 


240932.0 


8 


84XX44.1 


20465071.8 


438450343.7 


13032.5 


2227755 


4 


802735.5 


19662336.3 


417985271.9 


9385.7 
68090 


209743.0 


5 


770107.0 


18892229.3 


398322935.6 


300357.3 


€ 


740^78 


18151261.5 


379430706.3 


5015.6 


19.5548.3 
188532.7 


7 


714444.0 


17436817.5 


361279444.8 


3800.7 


8 


689890.0 


16746927.5 


343842627.3 


3014.9 


184732.0 


9 


666825.5 


16080102.0 


327095699 8 


2546.4 


181717.1 


10 


644894.4 


15435207 6 


311015597.8 


2319.8 


179170.7 


11 


623831 7 


14811375.9 


2955803902 


2241.4 


176857.5 


12 


603447.1 


14207928.8 


280769014.3 


2299.9 


174609.6 


13 


583604.6 


13624324.2 


266561085.5 


2426.9 


172309.7 


14 


564215.2 


13060109.0 


252936761.3 


2592.6 


1698828 


15 


545227.2 


12514881.8 


239876652.3 


2768.2 


167290.2 


16 


520619.3 


I 1988262.5 


227361770 5 


29295 


164522.0 


17 


5083943 


11479868.2 


215373508.0 


30552 


161592.5 


18 


490576.2 


10989292 


203893639.8 


31318 


158537.3 


19 


473201.7 


10516090.3 


192904347 8 


3148.4 


155405.5 


20 


456516 9 


10059773.4 


182388257.5 


3103.1 


152257.1 


21 


4399686 


9619804.8 


172328484. 1 


2668.S 


149154.0 


22 
28 


4241990 
409037.5 


9195605.8 
878656^.3 


162708679 3 
153513073 5 


146155.0 
1433072 


24 


394494-5 


83920738 


144726565.2 


2491.4 


140638.7 


25 


380549.6 


8011524.2 


1363344314 


2355.7 


1381473 


26 


367144.4 


76443798 


128322907.2 


23151 


13579 1. 6 


27 


354169.8 


7290210.0 


120678527.4 


2277.7 


133476.5 


28 


341609.8 


6948600.2 


113388317.4 


22439 


131198.8 


29 


329449 1 


6619151.1 


106439717.2 


2213.4 


128955.0 


30 


317672.6 


6301478.5 


99820566. 1 


2186.0 


126741.6 


31 


306266.1 


5095212.4 


93519087.6 


2162.3 


1245555 


32 


295215.1 


56999973 


8752387s 2 


21417 


122393 3 


S3 


284506.4 


54154909 


81823877.9 


21245 


120251.6 


34 


274126 4 


5141364 5 


76408387.0 


2110.5 


1181270 


35 


264062.6 


4877301.9 


71267022.5 


2100.0 


116016.5 


36 


2543024 
244833.7 


4622999.5 


66389720.6 


2092.5 


1 13916.5 


87 


4378165.8 


61766721 1 


2088.5 


111824.0 


88 


235644.7 


4142521. 1 


537885553 


20876 


1097355 


89 


226724.2 


3915796.9 


53246034.2 


2090.0 


107647.9 


40 


218061.3 


3697735 6 


493.10237.3 


2095.7 


105557.8 


41 


209645.0 


3488090 6 ' 


45632501 7 


2104.5 


103462.2 


42 


201465 3 


3286625 3 


42144411. 1 


2116.3 


101357.7 


48 


193512. 1 


30931 f3 2 


38857785 8 


2131 3 


99241.4 


44 


185775.8 


2907337.4 


35764672.6 


21493 


97110.1 


45 


178247.1 


2729090.3 


328573352 


2170.3 


94960.8 


46 


170917.0 


25581733 


30128244 9 


2194.0 


92790.5 


47 


163777.0 


2394396 3 


27570071.6 


2220.5 


9?5?6 5 


48 


156818.9 


2237577.4 


251756753 


2249.6 


88376.0 


49 


150034 8 


2087542.6 


22938097.9 


2281. 1 


86126.4 



R. 



8841014 

8539247 
8272968 
8032036 
7809960 

7599517 
7399160 

7205611 

7017079 

6832347 

6650630 

6471459 
6294601 
61 19992 
5947682 

5777799 
5610509 

5445987 
528439s 
5125857 
4970452 

4818195 
4669041 
4522886 

4379579 
4238940 

4100793 

3965001 

3831524 
3/00326 

3571371 
3444629 
3320074 
3197680 

3077429 
2959302 

2843285 

2729369 

261754s 
250^09 
2400161 
2294603 
2191141 
2089784 
1990.542 

1893432 

1798471 
1 70568 1 
1615084 
1526708 



French Actuaries' Table — Assurances. 



6 

M 
61 


D. 


N. 


s. 


c. 


V. 


'43417-3 
'369593 


X'^i 


30^555-3 
■7099354,0 


3314-67 
33=0,38 


B3845.4 
8.5307 


u .30654,4 

M 1J4196 4 


16765U 6 


3387-58 


79TB0.4 


15530.5 -J 


15433753.4 


3436.1s 


76793,8 


M i.B+797 




13870737.= 


3465.70 


743667 


fit 1 iajgq.4 


3S:i 


13437301.7 


3505.76 






....63656 


3545,93 


693953 


67 101130! 1 


Iin855.a8 


99031B0.3 


35BS-46 


66S493 


M 9573407 




87893=4 93 




64363.1 




S:H 


^4^^:74 


7773303.73 


l^f 


616399 


eo 


6S4S443.86 


58979.5 




79973 44 




6003789 13 




56385.3 


a 






5343108.B3 




53560.3 


m 




61^55 67 


455538778 


J77180 


508094 


«4 


6539350 


551363-17 


3cj38733,ii 


37B635 


480376 


«s 


60546.39 


4907J5-7B 


1187369.94 


3793-30 


45351.3 




561=7-66 
S174'.9S 




t^^'c^ 


■xz 


434580 


u 


47J94-77 


335351.40 


3079319 B? 


375935 




N 


43393.56 


391958 84 


1743868.47 


373616 


34 "5 8 




39Ma-5S 


=5"5i6 »9 


1451909 63 


2680.46 


313997 




3S65=-6o 


31686369 




3631.55 


287.9 3 


ft 


^^1;:^ 


.84833 fc 




3^8,84 


36397.6 


n 


■5&M5.90 




3463.05 


3354BB 




aSjaB.e 


13=917 74 


641451 15 


336.30 


31086.7 


» 


»aae3.89 


108653 85 


31053341 


3346.663 


"87355 


n 


19401,74 


89353" 


40.879-56 




.64789 


TI 


.674860 


7350351 


313637,45 


i^ato 


.4359.7 


n 




5a'93 56 


340133.94 


1830.498 


133799 


» 


;^p 


46104.04 


181930.38 


1673.079 




u 


■0088.87 


360'-'^. .69 


■3583634 


15.0056 


8876 3a 




8307.1 "3 


37718056 




■344 i'" 


7366.33 


ti 


63S.701 


K.967,474 


73103! 113 


1178,848 


603.,9' 


u 


15584773 


3555^^ 


.0.5 B49 


4843,07 


M 


4M3.99B 


1.360.775 


86,. 416 


3836.33 




3153.160 


810S615 




7.5566 


3964.77 


H 


ajSa,37i 
1807.751 


5656 !44 


16081:476 


581,734 




t7 


3B48 493 


1043^.333 


46. 937 


.667:47 




■ga 


3548.5485 


6576 73B8 


357.509 

3&)03P 


1305.55 


M 


163a 7345 


4038,1903 


848.036 


M 


6,B-»440 


IdB 4805 


3389 4658 


'96337 


579005 




406.775* 


613 7053 


136a 9853 


.38 581 


383.669 


W ■ a.iS 3793 


3S5 3"63 


7553800 


94-310 




M '$1^ 


'97.39470 


399-95404 


61 668 




10483804 


"3 55934 


38611 


88.... 


M S' 8=573 


53.05331 


97.73'3o 


33,055 


49SOO 


W 3760060 


35.40171 


44.73893 


13.070 


36.445 


87 1 13 91816 


11.483553 


19,33737s 
7.843733 


7.003 


13.375 


91 1 6.6r23g 


4 87'"4 


3.5*. 6373 


M 


2-943*44 


1,937470 


3.973611 


.iS3 


a.843 



French Actuaries Table — Annuitants. 217 



Table I. 
FRENCH ACTUARIES' MORTALITY TABLE ANNUITIES (R. F.). 



Age. 


1. 


36015 


.03602 


.04181 


Age. 
68 


1 

1 

I. 


1 


1 

1 


'^x 


jk 




622913 


9419 


.01512 


.01478 





lOOOOCO 


1 


963985 


26497 


•02749 


.03186 


64 


613494 


9860 


.01607 


.01570 


2 


937488 


19550 


.02085 


•02415 


66 


603634 


10332 
X0837 


.01712 


.01672 


8 


917939 


14453 


•01575 


.01821 


66 


59330-.* 


.01826 


.01783 


4 


903486 


1072 1 


.01187 


01370 


67 


582465 


"373 


•01953 


.01906 


5 


802765 


8011 


.00897 


.0I012 
.00783 


68 


571092 


"943 


.02091 


.02040 


6 


884754 


6078 


.00687 


69 


559U9 


12545 


.02244 


.02189 


7 


878676 


4744 
3876 


.00540 


.00605 


60 


546604 


13177 


.02411 


•02352 


8 


873932 


.00445 
.00388 


.00485 


61 


533427 


13839 


.02594 
.02796 


•02531 


9 


870056 


3372 


.00410 


62 


519588 


14548 


.02729 


10 


866684 


3155 


•0036^ 
.00366 


.00372 


63 


505060 


15240 


.03017 


.02946 


11 


863529 


3158 


.00362 


64 


489820 


15969 


.03260 


•03185 


18 


860371 


3328 


.00387 


•00374 


66 


473851 


16712 


.03527 


.03448 


18 


857043 


3617 


.00422 


.00403 


66 


457139 
439680 


17459 


.03819 


.03737 


14 


853426 


3980 


.00466 


.00444 


67 


18202 


.04140 


.04056 


16 


849446 


4377 


.00515 


.00491 


68 


421478 


18929 


.04491 


.04406 


16 


845069 


4771 


.00^65 


.00542 


69 


402549 


19630 
20289 


.04876 


.04791 


17 


840298 


5'25 


.00610 


.00590 


70 


382919 


.05298 


05215 


18 


835173 


%\ 


.00648 


.00632 


71 


362630 


20889 


.05760 


.05681 


19 


829762 


.00675 


.00665 


72 


341741 


21413 


.06266 


.06193 


20 


824159 


5688 


.00690 


.00687 


78 


320328 


21244 


.06819 


.06758 


21 


8I847I 


5662 


.00692 


.00695 


74 


298484 


22x59 


07424 


.07378 


22 


812809 


5538 


.00681 


.00690 


76 


276325 


22341 


.08085 


.08061 


28 


807271 


5345 


.00662 


.00671 


76 


253984 


22366 


.08806 


.08812 


24 


801926 


5140 


.00641 


.00665 


77 


231618 


22220 


•09593 


.09638 


25 


796786 


4969 


.00624 


.00622 


78 


209398 


21886 


^^12 


.IOS47 


26 


79I8I7 


4990 


.00630 


.00629 


79 


187512 


21350 


.11386 


"547 


27 


786827 


5016 


.00638 


.00636 


80 


166162 


20609 


.12403 


.12647 


28 


78I8II 


5047 


.00646 


.00643 


81 


145553 


19662 


.13508 


.13857 


29 


776764 


5083 


.00654 


.00652 


82 


125891 


18517 


.14708 


.15189 


80 


77I68I 


5"5 


.00664 


.00661 


83 


107374 


17189 


.16009 


.16653 


31 


766556 


5173 


.C0675 


.00672 


84 


90185 


15708 


.17417 


.18265 


32 


761383 


5227 


.00687 


.00683 


86 


74477 


14105 


.18939 
.20581 


.20037 
.21987 


38 


756156 


5290 


.00699 


.00695 


86 


60372 


12425 


84 


750866 


5358 


.00714 


.00709 


87 


47947 


10715 


.22348 


.24132 


36 


745508 


5438 


.00729 


.00724 


88 


37232 


9028 


.24248 


.26492 


86 


740070 


5525 


.00747 


.00740 


89 


28204 


7413 


.26283 


.29089 


87 


734545 


5623 


.00766 


.00759 


90 


20791 


5917 


.28460 


.31945 


38 


738922 


5732 


.00786 


.00779 


91 


14874 


4578 


.30780 


.35087 
.38544 


89 1 


723190 


5852 


.00809 


.00801 


92 


10296 


3423 


.33246 


40 < 


717338 


5980 


.00834 
.00862 


.00825 


98 


6B73 
4408 


2465 


•3§!57 


.42347 


41 


71 1352 


6133 


.00851 


94 


1702 


.38612 


.46530 


42 


« 


6294 


.00893 


.00881 


96 


2706 


1123 


.41506 


.5"3j 


48 


6473 
6668 


.00926 


•00913 


96 


151 


705 


r^j 


.56196 


44 


692452 


00963 


.00948 


97 


4x9 


.61766 


46 


678902 


6882 


.01003 


.00987 


98 


459 


334 


•50939 


.67893 


46 


7"5 


.01048 


.01030 


99 


225 


122 


•54289 


.74635 


47 


671787 


7370 


.01097 


.01078 


100 


103 


59 


577" 


.82051 


48 


656770 


7647 


.01151 


.01129 


101 


44 


27 


.61181 


.90209 


49 


7947 


.01210 


.01187 


102 


17 


II 


.64670 


.99184 


60 


648823 


8275 


.01275 


.01249 


108 


6 


4 


.68147 


.09058 


61 


640548 


8627 


•01347 


•OI319 


104 


2 


I 


71578 


.19920 


62 


631921 


9008 


.01427 


•01395 


106 


I 


X 


•74927 


.31870 



2i8 French Actuaries' Table— Annuitants. 



Table II. 

COMMUTATION TABLES. FRENCH ACTUARIES* ANNUM Y 

(R. F), FOUR PER CENT. 



Age. 




1 

s 

8 

4 

5 

6 

7 

8 

9 

10 

11 

18 

13 

14 

15 
16 
17 
18 
19 
20 
21 
22 
23 
24 
25 
26 
27 
28 
29 

30 
31 
32 
33 
34 
35 
36 
37 
38 
39 
40 
41 
42 
43 
44 

45 

46 
47 
48 

49 



D. 



N. 



S. 



c. 



M. 



R. 



lOOOOOO 

926908.7 
86676C.2 
816044.4 

7723035 

7337879 
699234.0 

667721.4 

638573 6 
61 1289 7 

585500 7 
560931.9 

5373851 
514717.8 

492832.2 

471C67.2 

452189.3 
431386 5 
412265 o 

393840.2 

376135-3 
359172.6 

342969.2 

32753* I 
3128485 

298887.8 
285600.0 
272884.7 
260716.3 

249070.3 

237923 5 

227253 3 
217038.3 

207257.9 

197892.4 

188923. 1 

180331.9 

172101.5 

164215.5 
156657.8 

149413.6 

142468. 1 

135807.6 

129418.6 

123288.5 

117405.1 
1 1 1756.7 
106332.2 

IOII30.8 

96112.48 



1 

! I9I399O4.6 


373016532 


353156 


229853 


5117919 


I82I2995.9 


1 353876617 


249831 


194537 


4888066 


17346235.7 


33S663622 


17723.2 


169554 


4693529 


I653OI9I.3 


318317386 


12599.2 


151831 


4523975 


15757887.8 


301787195 


8986.4 


139232 


4372144 


150240999 


286029307 


6456.6 


130245 


4232912 


14324865.9 


271005208 


4710.3 


123789 


4102667 


I3657I44.5 


256680342 


3535-0 


119078 


3078878 


130 18570.9 


243023198 


2777.2 


115543 


3859800 


I24O728I.2 


230004627 


2323.1 


1x2766 


3744257 


II82I780.5 


217597346 


2090.0 


110443 


3631491 


II260848.6 


205775565 


201 1.5 


108353 


3S31048 


10723463.5 
10208745.7 


194514717 


2038.3 


106341 


341269s 


183791253 
I735825<^ 


2130. 1 


104303 


3306354 


9715913-5 


22537 


102173.0 


.32oao5i 


9244246.3 


163866594 


2383.2 


99919.0 


3099878 


87930570 


154622348 


2497.8 


9753S.8 


2999959 


8361670.5 


14582929 I 


2580.0 


95038.0 


2902423 


7949405.5 


137467620 


2619.2 


924580 


2807385 


7555565.3 


129518215 


2607.8 


89838.8 


2714927 


7179430.0 


121962649 


25455 


87231 
84685.5 


662C088 


6820257.4 


114783219 


2436.4 


2537857 


6477288.2 


107962962 


2291.4 


82249.1 


2453172 


6149757.1 


101485674 


2126.5 


79957-7 


2370923 


5836908.6 


95335917 
89499008 


1966.3 


77831.2 


2290965 


5538020.8 


182765 


75864.93 


2213134 


5252420.8 


83960987 
78708567 


1764.96 


74037.28 


2137269 


4979536.1 


1705.92 


72272.32 


2063231 


47188I9.8 


73729030 


1650.48 


7056640 


1990959 


44697495 


69010211 


159819 


68915.92 


1920393 


4231826.0 


64540461 


1549-42 


6731773 


1851477 


4004572.7 


60308635 


150375 


65768.31 


1784159 


37875344 


56304062 


1461.12 


64264.56 


1718391 


3580276.5 


52516528 


1421 64 


62803 44 


1654 136 


3882384.1 


48936251.5 


138493 


61381.80 


1591323 


3193461.0 


455538674 


1351 19 


59996.87 


1529941 


3OI3I29.I 


42360406.4 


1320.20 


58645.68 


1469944 


2841027 6 


3934727/ 3 


1291.87 


5732548 


1411298 


2676812 I 


36506249.7 


1266.20 


56033.61 


1353973 


2520154.3 


33829437.6 


1243.11 


54767.41 


1297939 


2370740.7 


31309283.^ 


1222 53 


53524.30 


1243172 


2228272.6 


28938542 6 


1204.42 


52301.77 


1189748 


2092465.0 


26710270.0 


1188.69 


51097.35 


1137446 
1086348 


1963046.4 


24617805.0 


1175.29 


49908.66 


1839757-9 


22654758.6 


1164.14 


48733-37 


1036340 


1722352.8 


20815000.7 


1 155 28 


4756923 


987606.4 


1610596.1 


19092647.9 


1148.49 


4641395 


940037.1 
893623.2 


1504263.9 


17482051.8 


114386 


45265.46 


1403143.11 


159777879 


1141 22 


44121.60 


848357.7 


1307030.63 


14574644.8 


114051 


42980.38 


804230.1 



French Actuaries' Table — Annuitants. 



219 



Table U.—Coni. 

COMMUTATION TABLES, FRENCH ACTUARIES* ANNUITY 

(R. F.), FOUR PER CENT. 



Arc. 


1 

I). 1 N. 


s. 


Ck 


M. 


K. 


50 


91297.51 


I2I5733-I2 


13267614.2 


IT41.67 


41839.87 


761255.8 


51 


86666.56 


II290()6.56 


12051881.1 


1144.63 


40698.30 


719415.9 


5S 


83310.85 


1046855.71 


10923814.5 


1 149. 3 1 


39553-57 


677717.7 


53 


77923.00 


9^33.71 


9875958-8 


1155.36 


38404.36 


639164.1 


54 


73793.07 


895141.64 


8907025.1 


1162.93 


37249.00 


600759.8 


65 


69813.58 


825328 06 


8011883.4 


1 171 77 


36086.07 


563510.8 


56 


6597945 


759348.61 


7186555.4 


1181.71 


34914.30 


527424.7 


57 ! 62383.01 


697065.60 


6427206.8 


119256 


33732-59 


492510.4 
458777.8 


51 


58718.13 


638347.48 
583068.47 


5730141.2 


1204.10 


32540.03 


59 


55379.01 


5091793.7 


1216.13 


3133593 


426337.8 


60 


51960.41 


531108.06 


4508725.2 


1228.31 


30119.80 


394901.8 


61 


48757.47 


482350.59 


3977617.2 


1240.41 


28891.49 


364782.0 


6» 


45665.86 


436684.73 


349«;266.6 


125204 


27651.08 


335890.5 


68 


43681.76 


394002.97 


3058581.8 


1262.86 


2639904 


308239.5 


64 


39801.83 


3543or.i4 


2664578.9 


1372.46 


25136.18 


281840.4 


65 


37023.35 


517177.89 


2310377-7 


1280.40 


23863.72 


256704.2 


66 


3434376 


282834.13 


1993199.8 


1286.18 


22583.32 


232840.5 


67 


31761.65 


251072.48 


1710365.7 


1289.33 


21297.14 


2102S7.2 


61 29275.76 


221796.72 


1459293.2 


1289.33 


20007.81 


188960.1 


69 1 36885.48 


194911.24 


1237496.5 


1285.60 


18718.48 


168952.3 


70 j 24590.80 


170320.44 


1042585.3 


1277.610 


17432.88 


150233.8 


71 ; 33393.21 


14792823 


872264.8 


1364.844 


16155 27 


132800.9 


72 1 20390.70 


12763753 


724336.6 


1246.745 


14890.42 


I 16645.6 


78 18387.76 


109349.77 


596699.1 


1222.866 


1364368 


101755.2 


74 16385.37 


9296450 


487349-3 


1192.827 


12420.81 


881II.52 


75 i 14585-42 


78379.08 


394384-8 


1156.307 


11227.98 


75690.71 


76 1 13890.60 


65488.48 


316005.7 


1113.143 


10071.68 


6446273 


77 ' 11303.39 

78 ! 9835.882 


54185. 191 


250517.24 


1063 323 


8958533 


54391-05 


44359-309 


196332.05 


1007 021 


7895.210 


4543251 


79 1 8460.500 

1 


35898-809 


151972.74 


944.628 


6888.189 


37537-30 


1 

80 7208.820 


28689.989 


11607393 


876.764 


5943561 


30649.12 


81 6071.825 


23618.164 


8738395 


804.287 


5066.797 


24705 55 


88 5049631 


17568.533 


64765.78 


728.298 


4262.510 


19638.76 


88 4141.268 


13427.265 


47197-25 


650 IC4 


3v^ 212 


15376.25 


84 . 3344-512 


10082. 7«;3 


3376998 


571-207 


2884 108 


11842.04 


85 , 3655.766 


7426.987 


23687.23 


493.210 


2312.901 


8957927 


86 3069.996 


5356991 


16260.34 


417.746 


1819 691 


6645.026 


87 1580.749 


3/76.242 


10903.35 


346.410 


1401.945 


4825 335 


88 1 1180.269 


25959727 


7137.010 


280.63^ 


1055-535 


3423390 


89 1 859.6944 


1786.2783 


45310376 


221.568 


774.902 


2367855 


90 609.3636 


1 126.9147 


2794-7593 


170057 


5.S3334 


1592.953 


91 419. 1732 


707.7415 


1667 8446 


126.517 


383277 


1039.619 


92 


378.9919 


428.7496 


960.1031 


90.952 


250.760 


656.342 


98 


179.0761 


249-6735 


531.3535 


6.^.967 
41.816 


165.808 


399-582 


94 


110.4473 


139.22633 


281.6800 


103.841 


233-774 


95 65.19406 


74.03226 


142.45372 


26535 


61.025 


130.933 


96 36.66811 


3736415 


68.42146 


16.011 


34490 


69.9C8 


VJ 1 19 55673 


17.807419 


31-05731 


9144 


18479 


35418 


98 9.838400 


7.969019 


13.349893 


4914 


9.335 


16.939 


99 1 4.641 161 3-327858, 


5.380873 


2.473 


4.421 


7.604 



220 French Actuaries* Table— Annuitants. 



Table III. 

COMMUTATION TABLES, FRENCH ACTUARIES' ANNUITY (R F), 

THREE AND ONE-HALF PER CENT. 



Age. 


, ''^ 


1 


1 s. 

1 


c. 


i M. 


R. 





lOOOOOO.O 


21093571.6 


440158875 


35400.8 


257262.5 


6573996 


1 


931386.6 
8751550 


20162185.0 


419065304 


251644 
17938.0 


221861.7 


6316733 


2 


19287030.0 


3989031 19 


196697.3 


6094872 


3 


827928.4 


18459101.6 


379616089 


12813.5 


178759.3 
1659458 


5898174 


4 


7873357 


17671765.9 


361156987 


91834 


5719415 


5 


751684.4 


16920081.5 


343485221 


6630.0 


156762.4 


5553469 


6 


7197^^0 


16200333.5 


326565140 


4860 1 


150132.4 


5396707 


7 


690631.4 


15509702.1 


310364806 


3665.2 


145272.3 


5246574 


8 


663674.0 
638387.0 


14846028. 1 


294855104 


28933 


141607 I 


5101302 


9 


14207641.1 


280009076 


24320 


1387138 


4959695 


10 


614408 6 


13593232.5 


265801435 


2198.5 


136281.8 


4820981 


11 


591470.5 


i I3OOI762 


252208202 


2126.2 


1340833 


4684699 


12 


569379.2 


12432382.8 


239206440 


2164.9 


131957. 1 


4550616 


18 


547996.9 


1 118843859 


226774058 


2273.3 


129792.2 


4418659 


14 


527231. 1 


11357X54.8 


214889672 


2416.9 


127518.9 


4288867 


15 


507026.4 


IO85OI28.4 


203532517 


2568.0 


125102.0 


4161348 


16 


487356.3 


10362772. 1 


192682389 


2704.5 


122534.0 


4036246 


17 


468217.3 


98945548 


182319O16 


2807.0 


119829.5 


3913712 


18 


4496247 


9444930.1 


172425062 


28634 


117022.5 


3793882 


19 


431605.4 


9013324 7 


162980132 


2864.7 


114159- 1 


3676860 


20 


414194 2 


8599130.5 


153966807 


2809.9 


II1294.4 


3562701 


21 


3974258 


8201704 7 


145367676 


27024 


108484.5 


3451406 


22 


381329.8 


7820374 9 


137165972 


25539 


105782.1 


3342922 


23 


3659244 


7454450.5 


129345597 


2381.5 


103228 2 


3237140 


24 


351209.2 


7103241.3 


121891146 


2212 7 


1008.16.7 


3133912 


25 


337157.7 


6766083.6 


114787905 


2066.64 


98634.05 


3033065 


26 


323724.8 


6442358.8 


108021821 


2005.40 


96567.41 


2934431 


27 


310806.4 


6131552.4 


101579463 


1947.68 


94^62.01 


2837863 


28 


298381.5 


5833170.9 


95447910 


1893.48 


92614.33 


2743301 


29 


286430.2 


5546740.7 


89614739 


1842.35 


90720.85 


2650687 


30 


2749332 


5271807.5 


84067999 


1794.76 


8887850 


2559966 


31 


263871.8 


5007935.7 


78796191 


1750 28 


87083.74 
85333-46 


3471088 


32 


253228.1 


4754707.6 


73788255 


1708.87 


2384004 


S3 


242985.2 1 


4511722.4 


69033548 


1670.73 


83624.59 


3298671 


34 


2331260 1 


4278596.4 


64521825 


163544 


81953.86 


2315046 


35 


223635.0 


4054961.4 


60243229 


1603.31 


803184a 


3133092 


36 


2144965 


3840464.9 


56188268 


1574.10 


78715.11 


3052774 


37 


203605.8 


3634769.1 


52347803 


1547.77 


77141.01 


1974059 


38 


197218.5 


3437550.6 


48713034 


1524.34 


75593-24 
74068.90 


1896918 


39 


189050.9 


3248499.7 


45275483 


150378 


1821324 


40 


181179.7 


30673200 


42026983 


1486.02 


72565 12 


1747255 


41 


173592.2 


2893727.8 


38959663 


1471.08 


71079.10 


1674690 


42 


166276.0 


2727451.8 


36065935 


1458.88 


69608.02 


160361 I 


43 


159219.2 


2568232.6 


33338484 


1449.40 


68149.14 


1534003 


44 


152410.2 


2415822.4 


30770251 


1442.60 


66699.74 


1465854 


45 


145838.3 ' 


2269984.1 


28354429 


1438.53 


65257.14 


1399154 


46 


139492.5 


2130491.6 


26084445 


1436.98 


63818.61 


1333897 


47 


133362.9 


1997128.7 


239539S3 


1438.11 


62381.63 


1270079 


48 


127439-5 


18696892 


21956824 


1441.72 


6094352 


1207697 


49 


121712.8 


1747976.4 


20087135 


1447 78 , 


59501.80 


1146753 



French Actuaries' Table — Annuitants. 221 



Table III. —Cant. 

COMMUTATION TABLES, FRENCH ACTUARIES' ANNUITY (R F). 

THREE AND ONE-HALF PER CENT. 



V 

M 

< 


n. 


1 

1 


18339159 


C. 


M, 


R. 


bO 


II6173.9 


1631802.5 


1456.25 
1467.08 


58054.0a 


1087252 


51 


II0813.9 


1520988 6 


16707356 I 


56597.77 


Z029198 


62 


103624.5 


1415364 10 


15186367.5 


1480.07 


5513069 


972599.9 


S8 


100597.82 


1314766 28 


13771003.4 


1495 18 


53650 62 


917469.2 
863818.6 


&4 


95726.29 


1219039.99 


12456237.1 


1512.24 


5215544 


56 


91002.73 


1 128 37.26 


11237197.1 


1531.09 


50643.20 


81 1663. 1 


56 


8642034 


104 1616.92 


10109159.8 


1551-55 


491 12. I I 


761019.9 


67 


81972 88 


959644.04 


9067542.9 


1573.36 


47560.56 


711907.8 


58 


7765432 


88T98972 


8107898.9 


1596.26 


45987.20 


664347.2 


69 


73459 31 


808530.AI 
739147.60 


7225909.1 


1619.99 


44390.94 


618360.0 


60 


69382.81 


6417378 7 


1644.13 


42770.95 


5739691 


Gl 


65420.47 


673727.13 


5678231.1 


1668.34 


41126.82 


531 198.2 


62 


61568.30 


61215883 


5004504.0 


1692 12 


39458.48 


490071.3 


63 


57«23.03 


554335.80 


43923452 


171499 


37760.36 


450612.9 


64 


54181.93 


500153.87 


3838009.4 


173637 


36051.37 


412846.5 


65 


50642.94 


44951093 


3337855.5 


1755-64 


3431500 


376795.1 


66 


47204.68 


402306 25 


2888344 6 


1772.09 


32559.36 


312480.1 


67 


4386655 


358439.70 


2486038.3 


1785 01 


30787.27 


309920.8 


68 


40628.56 


317811.14 


2127598.6 


1793-63 


29002.26 


279133-5 


69 


37491.62 


280319.52 


18097875 


1797.09 


27208.63 


25013 1. 2 


70 


3445736 


245862.16 


1429468 


1794-546 


2541154 


222922.6 


71 


31528.20 


214333 96 


1283605.8 


1785.197 


23616.99 


197511. 1 


72 


28707.30 


185626.66 


1069271 8 


1768.153 

1742 666 


21831 79 


1738941 


78 


25998-54 


150628.12 


883645.2 


20063.64 


152062.3 


74 


23406.42 


136221 70 


724017 I 


1708 071 


18320 98 


131998.6 


75 


2093598 


115285.72 


5877954 


1663.775 


16612.90 


1136777 


76 


18592.60 


96693.12 


472509 6 


1609.404 


14949 13 


97064.76 


77 


16381.93 


80311.19 


375816.5 


1544. &02 


1333973 


82115.63 


78 


14309-51 


66001.68 


2955053 


1470.073 


11794.92 


68775 91 


79 


12380.62 


53621.063 


229503.65 


1385652 


10324.85 


5698098 


80 


10599940 


43021.123 


175882.59 


1292.318 


8939198 


46655.13 


81 


8971.220 


34049903 


132861.47 


1191.218 


7646.880 


37716.9^ 
30070.00 


82 


7496955 


26552948 


98811 56 


1083 882 


6455.662 


83 


6178.051 


20374.897 


72258.61 


972.183 


5371.780 


23614.39 
18242.61 


84 


5013.532 


15361 365 


51883.72 


858.325 


4399.597 


85 


4000.314 


1 1361.05 1 


36522.35 


744704 


3541.272 


13843 02 


86 


3133044 


8228 007 


25161.30 


633807 


2796.568 


10301.74 


87 


2404.103 


5823.904 


16933 29 


528.114 


2162.761 


7505 176 


88 


1803699 


4020.205 


II 109.39 


429-902 


1634647 


5342.415 


89 


1320. 141 


2700.0618 
1759-8089 


7089. 185 1 


341.060 


1204.745 


3707768 


90 


940 2549 


4389. 1213 


263034 


863685 


2503023 


91 


649.9136 


"09.8953 


2629.3124 


196.633 


600.651 


1639338 


92 


4346570 
280.3404 


6752383 


1519.4171 


142.042 


404.0x8 


1038.687 


93 


3948979 


844. 1788 


98.812 


261.976 


634669 


94 


1737384 


221.1595 


449.2810 


65-937 


163.164 


372.693 


»5, 


1030486 


118.11087 


228.12146 


42043 


97.227 


209.529 


96 


58.23921 


59.87166 


110.01059 


25491 


55.184 


112.302 


97 


3I.2II61 


28.66005 ' 


50 13893 


14 629 


29603 


57.118 


98 


1577747 


12.882581 


21 478881 


7899! 


i«;.o64 


27425 


99 


7.478814 


5.403767 


8.596300 


3992| 


7165 


12.361 



222 French Actuaries' Table — Annuitants. 









Table IV. 








COMMUTATION TABLES. 


FRENCH ACTUARIES 


• ANNUITY (R. F.), 






THREE PER CENT. 






Age. 


n. 


23420995.6 • 


5241972571 


c. 


NT, 


K< 


A 




3S486.6 


393008.1 


865753s 


U 


loooooo.o 


1 


Q3'i907 9 


22485087.7 


500776261.5 


25347.8 


257521.5 


8274527 


2 


883672 4 


21601415.3 


478291 173.8 


18156.5 


232173.7 


8017006 


S 


840044.1 


20761371 2 


456689758.5 


13032.5 


214017.2 


7784832 


4 


8027355 


19958035 7 


435928387.3 


'& 




757081S 


6 


770107.0 


19188528 7 


41^969751 6 


191599.0 


7369830 


6 


740967.8 


18447560.9 


396781222.9 


50156 


184790.0 


7178231 


7 


714444.0 


177331169 


373333662.0 


3800.7 


179774-4 


6993441 
6813367 


8 


689890.0 


17043226.9 


360600545 I 


30149 


175973.7 
172958.8 


9 


6668255 


16376401.4 


3435«i73i8 2 


2546.4 


6637693 


10 


6448944 


15731 307.0 


327180916.8 


3319.8 


170412.4 


6464734 


11 


623831.7 


15107675.3 


311419409 8 


2241.8 


168092.6 


6294321 


12 


6034471 


14504228.2 


29634»734.5 
281837506 3 


2299.9 


165851 I 


6126229 


18 , 


583604.6 


I392f'623 6 


2426.9 


163551.2 


5960378 


14 


564215.2 


13356408.4 


267916882 7 


2592.6 


161124.3 


5796826 


16 


545227.2 


12811181 2 


254560474.3 


2768.2 


158531.7 


563570a 


16 


526619.3 


12284561.9 


241749293. 1 


2929.5 


155763s 


547/iVW 


17 


5083943 


11776167.6 


229464731.2 


30552 


152834 


5321407 


18 


490576.2 


II 285591 4 


217688563.6 


3131.8 


149778.8 


S168573 


19 


473201.7 


108 12389. 7 


206402972 2 


3148.4 


146647.0 


5018794 


20 


456316.9 


10356072.8 


195590582.5 


31031 


143498.6 


4872147 


21 


4399686 


9916104.2 


i85234c;o9.7 


29990 


1403955 


4728648 


88 


424199.0 


9491905 2 


1753 '8405.5 


2847.8 


137396.5 


4588253 


28 


409037.5 


9082867.7 


165826500.3 


2668.5 


134548.7 


4450856 


24 


394494 5 


8688373.2 


156743632.6 


2491.4 


1318802 


4316308 


85 


380549 6 


8307823.6 


148055259.4 


2338.27 


129388.8 


4184428 


26 


36716 I 6 


7940662.0 


1397474358 


2279.99 


127050 5 


4055^^ 
3927988 


87 


354221. 1 


75864409 


1318067738 


2225.11 


124770.5 


28 


3417114 


72447295 


124220332.9 


217370 


1225454 


3803218 


29 


329616.9 


6915112 6 


I 16975603.4 


2125.27 


120371 7 


3680672 


30 


3179223 


6597190.3 


1 10060490. 8 


2080.42 


118246 4 


3560301 


81 


306612.6 


6293577.7 


1034633005 


2038.70 


I 16166.0 


3442054 


82 


2956734 


5994904.3 


97172722 8 


200).I4 


114127.3 


3325888 


88 


285090.7 


57098136 


91177818 5 


1964.99 


112127.2 


3211761 


84 


274851.0 


5434962.6 


85468004 9 


1932.82 


110162.2 


3099634 


36 


264941. 1 


5170021.5 


80033042 3 


190405 


1082294 


2989472 


36 


255348.2 


4914673-3 


74863020.8 


1878.44 


106325.3 


2881242 


37 


246060 I 


4668613.2 


69948347 5 


185^ 98 


104446.9 


2774917 


38 


237064.5 


44315487 


6527973 ♦ 3 


1836.76 


102590.9 


2670470 


39 


228349.9 


4203198.8 


60848185 6 


1820.78 


100754 I 


2567879 


40 


219904.8 


3983294.0 


56644086 8 


1808.01 


9893336 


2467125 


41 


211718.4 


3771575 6 


1 52661692.8 


1798 52 


97125.35 


2368192 


42 


203779.5 


3567796.1 


488901 17.2 


1792.26 


95326 83 


2271066 


43 


1960785 


3371717.6 


45322321. 1 


1789 26 


93534.57 


2175739 


44 


188604.4 


3183113.2 


41950603.5 


1789.51 


9174531 


2082205 


45 


181347.8 


3001765.4 


1 38767490 3 


1793.12 


89955.80 


1990460 


46 


174299.0 


2827466 4 


3576572 J 9 


1799.89 


88162.68 


1900504 


47 


167448 9 


2660017.5 


32038258.5 


18 10 04 


86362.79 


1812341 


48 


160788.3 


2499229 2 


30278241 


1823.40 


84552.75 


1725978 


49 


154308 4 


2344920.8 


27779011.8 


1839.95 


82729.35 


1641425 



LH Actuaries' Table— Annuitants. 



Table IV.-c™ 



141857.9 

130033.3 
"4330.9 
II877S-4 
U«4a.i 

[06031.0 
01B365 
9775330 
93770.87 



6498179 

60679.05 
5647343 
51366.09 
48361 &, 
44465-3= 
406S3.44 
37<»3 19 
33493 97 

36864-46 
23785.15 
30577.03 
18150 54 

15615.43 



ao3i 416 

1453.376 

678.6335 
439.8S17 
373.8987 

163.1448 
91.70774 
49.935*) 



='96919-7 

1919190.6 

1789157.4 
16648305 
1546045.1 
"4337030 
1 314673 o 
"31835.53 
1134083.33 



S60373.46 
781831.57 
707954-85 

63857677 
573594 9* 
513915 33 
456441.90 
40407581 
355714 17 
311348.85 
37056s 41 
=33541 93 
30004795 
161)94369 
143079 33 
1 [9294-08 
9841705 

64651.09 
51370.68 
40319.169 
30984-716 
=3454 5" 
17416.939 

.3«5 4^ 

9001.670 
6339.569 
4308.153 
3754377 



4633445 
30.87474 
8.7954a 





c. 


M. 


R, 


=54340910 


.859-70 


B0B89.40 


153865* 


33337171.3 


.883 63 


7901970 


'477*07 


31 183.09. 5 


190851 


7714707 


1398777 


.9363918-9 


.93736 


75338.56 


1321630 


.7473761.3 


19669a 


73301 30 


1346391 


I5S0894I.O 

14362895 9 


200320 
1039,83 


7>33= " 
69329.D3 


1 .73090 
.101758 


13830193.9 


=078.5= 


673B9.20 


I03=4>9 


1.50553085 


31.9.0. 


653.0.68 


963139-8 


.0383685.3= 


ise 


6309'. 67 




V^tl?3 


60930.7. 




3347.13 


58726 9. 


775906.7 


7184895.53 


229010 


56479.79 


7.7179-8 


6324613 07 


2333.43 


5*18959 


6607000 


5542799 50 


337397 


5185716 


606510-4 


4B34B44 65 


341096 


49,84 .9 


554653.3 


4[9&'67-Be 


=44536 


47073 =3 


S05.69.1 


3633673,90 


347515 


4463787 


458095.8 




3499 17 


4215372 


413468.0 


1653315.67 


3516.14 


39653:^5 


s;sy 


3349139.86 


3534.776 


3713741 


3SI:S 


2533.817 


346.334 


2943=4-3 


=5.1857 


3308B.BJ 


1311711.43 


3487,667 


39576-96 


1078169.51 


3450- us 


370893., 




878.3.56 


3393.63 


34639.18 




708.7787 


=33' 053 


333,1 02 


M'5174 


56509S 64 
445B04 56 


=48.344 


199099" 


.24J764 


3149969 


17661.63 


104366.4 


3473B751 


3036.341 


ISS'l.65 


80704-79 


36712.00 


1908398 


1347531 


7. 193. 14 


303469.91 


■767 639 


1.5669' 


57717-83 




!6lS 173 


9799-273 


46150.93 


!i^.S63 


1456.655 


il83 .01 


363S.-6S 


79895 149 


SIS 


6726,446 


38168.55 


56440.638 


5434 '46 


3U4aio 


39033.669 


9S3552 


4307471 


16007.96 


36358,354 


806.769 


3343919 




17356584 


659 9« 


25 7150 


8356.565 

5819-415 


11. .7.0.5 


536 088 


1S77M5 


6*18862 


407.703 


1351-137 


3943.190 


4154.565; 


30636. 


W3 43S 


xsi 


2410 IJ04 


333307 


637-174 


IJM.''878 


15540° 




1010.444 


?i3.3769 


.04.300 


'lt*(^ 


S9S-577 


366,16469 


66.J64 


155367 


^8^3 


.77.39730 


40.676 


88-503 


81.13765 


33.457 




93-340 


^:Si4l 


[3.738 




44-S'3 


6.464 


11.643 


=OM3 



INTRODUCTION TO AMERICAN TROPICAL 

EXPERIENCE TABLE. 

This table was graduated by Makeham's formula from 
the experience of the New York Life Insurance Company 
on lives in the tropics. It is the work of Messrs. Jones 
and Robertson of the New York Life's then actuarial force. 

This table, with four per cent interest, has already been 
adopted as its standard by at least one South American 
company. 



American Tropical Experience Table. 



227 



TABLE I. 
AMERICAN TROPICAL EXPERIENCE TABLES. 



V 

< 



to 

21 

ts 
ts 

14 
U 
t6 

n 
%% 

19 

SO 
SI 

ss 
ss 

S4 
S6 
S< 

87 
SS 

SO 
40 
41 
48 
48 
44 
46 
46 
47 
48 
49 
60 
61 
68 
68 
64 
66 
66 
67 
68 



Living. 



100 000 
98 826 
97 658 
96 495 
95 337 
94 182 

93 031 
91 882 

00 734 
89 586 

88 439 
87 289 
86 138 
84982 
83 821 j 
82 654 I 
81 479 , 
80 295 
79 100 

77 893 
76 671 , 

75 434 i 
74 178 I 
72 902 I 
71 604 
70 282 

68933 
67 556 
66 147 
64 704 
63 225 
6: 707 
60 148 
58545 
56 899 
55 205 
53 461 
51 667 
49 822 



Dying. 



Per Cent 
Surviv- 
ing. 



Per Cent 
Dying. 



Constant. 



c 

s 
k 



XI74 


.98826 


0. 


X 168 


.98818 




I 163 


98809 




1 158 ' 


.98800 




I 155 


.98789 




I 151 


.98778 




I 149 


.98765' . 


1 148 


.98751 


1 148 


•98735 . 


T 147 


.9872 ) . 


I 150 


.98700 


I 151 


.98681 


I 156 . 


.98658 


I 161 


.98634 


I 167 


.98608 


I 175 


•98578 


I 184 


.98547. . 


I 195 


.985" 


I 207 


•98474: . 


I 222 


.98431 


I 237 


•98387 


I 256 : 


& 


, 


I 276 


• 


I 298 


.98220 


^ 


I 322 


•98154 


• 


I 349 


.98080 


• 


I 377 


.98002 : . 


I 409 j 


•979 M 


I 443 i 


.97818 


I 479 1 


97714 


I 518 


97599 


I 559 


•97474 




I 602 


•97337 




I 647 


.97187 




I 694 


•97023 




I 744 


.96841 




I 794 


.96644 




I 845 


.96429 




I 897 


.96192 





.01174 

.01182 
.01191 
.01200 
.01211 
.01222 

01235 

01249 
01265 
01 i8o 
.01300 
.01319 
.01342 
.01366 
.01392 
.01422 

.01453 
.01488 

.01526 

.0x569 

.01613 

.01665 

.01720 

.01780 

.01846 

.01920 

.01998 

.02j86 

.02182 

.02286 

.02401 

.02526 

.02663 

.02813 

.02977 

.03159 
.03356 
.03571 
.03808 



u 

< 



69 
60 
61 
62 
63 
64 
66 
66 
67 
68 
69 
70 
71 
72 
78 
74 
76 
76 
77 
78 
79 
80 
81 
82 
88 
84 
86 
86 
87 
88 
89 
90 
91 
98 
93 
94 
96 
96 
97 



Living. 



47 
45 
43 
41 
39 
37 
35 
33 
31 
28 
26 

24 
22 

19 

17 

15 

13 
i( 

10 

8 

7 

5 

4 

3 
2 

2 

I 

I 



925 
977 
978 

930 

837 
701 

528 

325 
098 

858 

615 
381 

170 

996 

876 

826 

861 

999 
255 
641 
169 

849 
683 

674 
819 

III 

538 
089 
746 

493 

314 
191 

III 

62 

32 

14 

5 
I 

o 



Dying. 



1 948 

1 999 

2 048 

2 093 
2 136 

2 173 
2 203 

2 227 

2 240 

2 243 

2 234 

2 211 

2 174 
2 120 

2 050 

965 
862 

744 
614 

472 

320 

166 

009 

855 
708 

573 

449 

343 

253 

179 
123 

80 

49 
30 
18 

9 

4 
I 



Percent 
Surviv- 
ing. 



9S93S 
95652 

95343 
95008 

94638 
94236 

93799 

93317 

92797 
92227 

91606 

90931 
90194 

89398 
88532 

87584 
86567 

85465 
84261 

82965 

81587 

80065 

78454 
76728 

74885 
72856 
708 j6 
68503 
66086 
63692 
60828 

58115 
55856 
51613 

43750 

35714 
20000 

00000 



Percent 
Dying. 



0.04065 

•04348 
.04657 

•04992 
.05362 

.05764 
.06201 
.06683 
.07203 

•07773 
.08394 

.09069 

.09806 

10602 

1 1468 

I2416 

13433 

14535 

15739 

17035 
18413 

19935 
.21546 

.23272 

•251 15 
.27144 

.29194 

•31497 

33914 
.36308 

.39172 

.41885 

•4*144 

.48387 
.56250 
.64286 
.80000 

.OOUOO 



Number. 



Napierian Ix)garithm. Common I..ogarithm. 



1.096^780 
0.9980194 
0.9890916 
125.620. 



•»• 0.0921034 

— 0.00138 16 

— 0.0109684 
4- II.74IOI96 



•:• O 0400000 

— o 0006000 

— o 0047635 
-f^ 5.0990600 



log /, .. log ^ + Jf log s -\- c^ log g. 
/', ■--- — jj^ I log / -f (log c log^) tf. ^ 



228 



American Tropical Experience Table. 



Table I. 

COMMUTATION COLUMNS— AMERICAN TROPICAL EXPERIENCE 

lABLES, FOUR PER CENT. 



Age. 


D. 


N. 


s. 


c. 


M. 


R. 


SO 


45639 


769 547 


II 648 619 


515.19 


14 285.36 


335 809.33 


SI 


43368 


726 179 


10 879 072 


492.84 
471.86 


13 770.17 


321 523.97 


u 


41 ao7 


684972 


10 152 893 


13 277.33 


307 753.80 


S8 


39 151 


645 821 


9 467921 


451.76 


12 805.47 


294 476.47 


S4 


37 193 


608 628 


8 822 100 


433.26 


12 353.71 


aSz 671.00 


S6 


35 329 


573 299 


8 213 472 


415. IS 


II 920.45 


269 31729 


S6 


33 555 


539 744 


7 640 173 


398.49 
382.83 


II 505 30 
II 106.81 


257 396 84 
245 891.54 


n 


31 866 


507 878 


7 100 429 


S8 


30258 


477 620 


6 592 551 


368.11 


10 723.98 


234 784 73 


S9 


28 726 


448 894 


6 114 931 


353.64 


10 355 87 


224 060.75 


80 


27 267 


421 627 


5 666 037 


340.93 


10 002.23 


213 704.88 


81 


25 878 


395 749 


5 244410 


328.10 


9 661.30 


203 702.65 


8S 


24 554 


371 195 


4 848 661 


316.85 


9 33320 


194 041.35 


88 


23 293 


347 902 


4 477 466 


305.98 


9 016.35 


184 708.15 


84 


22 091 


325 811 


4 129 564 


295.74 


8 710.37 


175 691.80 


86 


20 946 


304 865 


3 803 753 


286.31 


8 414.63 


166 981.43 


86 


19 854 


285 on 


3 498 888 


277.41 


8 128.32 


158 566.80 


87 


18 813 


266 198 


3 213 877 


269.22 


7 85091 


150 438.48 


88 


17 820 


248 378 


2 947 679 


261.46 


7 S8i 69 


142 587.57 


89 


16 873 


231 505 


2 699 301 


254.53 


7 320.23 


135 005.88 


40 


15 970 


215 535 


2 467 796 


24774 


7065.70 


127 685.65 


41 


15 108 


200 427 


2 252 261 


241.87 


6 817.96 


lao 619.95 


48 


14 285 


186 142 


2 051 834 


236.27 


6 576.09 


113 801.99 


48 


13 499 


172 63 


I 865 692 


231.10 


6 339 82 


107 225.90 


44 


12 749 


159 894 


I 693 049 


226.32 


6 108.72 


100 886.08 


46 


12 032 


147 862 


I 533 155 


222.06 


5 882.40 


94 777.36 


46 


" 347 


136 515 


1 385 293 


217.96 


5 660.3^ 
5 442.38 


88 894.96 


47 


10 693 


125 822 


I 248 778 


214.44 


83 234.62 


48 


10 067 


"5 7550 


I 122 955.7 


211. 17 


5 227.94 


77 792.24 


49 


9468.9 


106 286.1 


I 007 200.7 


208.11 


5 016.77 


72 564-30 


60 


8 896.6 


97 389.5 


900 914.6 


20539 


4 808.66 


^ 547-53 


61 


8 349.0 
7 8251 


89 040.5 


803 525 I 


202.82 


4 603.27 


62 738.87 


68 


81 215.4 


714 484.6 


203.40 


4 400.45 


58 135.60 


68 


7 3237 
6 843.9 


73 891-7 


633 269.2 


198.10 


4 200.05 


53 735- 15 


^4 


67 047.8 


559 377.5 


195-92 


4 001.95 


49 535- 10 


•66 


6 384.8 


60 663.0 


492 329.7 


I93.9'> 


3 806.05 
3 61208 


4S 533 15 


66 


5 945 2 


54 7178 


431 666.7 


191.83 


41 727.12 


.67 


5 524 8 


49 1930 


376 948.9 


189.70 


3 420.25 


38 115 04 


68 


5 122.6 


44 070.4 


327 755-9 


187.54 
185.18 


3 230.55 


34 69479 


69 


4 738 


39 3324 


283 685.5 


3 043 01 


31 464.24 


60 


4 3706 


34 961.8 


244 353-1 


182.72 


2 857.83 


a8 431.23 


61 


4 019.8 


30 9420 


209 391.3 


180.00 


a 675.11 


25 5^40 


6S 


3 685.2 


27 256.8 


178 449 3 


176.88 


a 495.11 


32 888.29 


68 


3 366.6 


23 890.2 


151 1925 


17357 


a 318.23 
a 144.60 


ao 393.18 


.64 


3063.5 


20 826.7 


127 302.3 


169.78 


18074.95 



American Tropical Experience Table. 



229 



Table I.— Cent. 

COMMUTATION COLUMNS— AMERICAN TROPICAL EXPERIENCE 

TABLES, FOUR PER CENT. 



A{;e. 


D, 
2 775-9 


N, 


s. 


C. 


M. 


R> 


66 


18 050.8 


106 475.6 


165-51 


I 974.88 


15 930 29 


66 


2 503.6 


15 547.2 


88 424.8 


160.87 


I 809.37 


13 955 41 


67 


2 2465 


13 300.7 


72 877,6 


155-59 


I 648.50 


12 14604. 


68 


2 004.5 


II 296.2 


59 576.9 


149.81 


I 492.91 


10 497.54 


69 


I 777.6 


9 518.6 


48 280.7 


143.47 


1 34310 


9 004.63 


70 


I 5657 


7 952.9 


38 762.1 


136.53 
129.08 


I 199.63 


7 661.53 


71 


I 369.0 


65839 


30 809.2 


I 063 10 


6 461.90 


72 


I 187.3 


5 396.6 


24 225.3 


121.03 


93402 


5 39880 


78 


I 020.6 


4 375-97 


18 828.74 


112.53 


812.99 


4 464-78 
3 051.79 


74 


868.77 


3 507.20 


14 452.77 


103.72 


700.46 


76 


73163 


2 775-57 


10 945-57 


94503 


596.740 


2 951 332 


76 


60899 


2 166.58 


8 170.00 


85.110 


502.237 


2 ^592 


77 


500.46 


I 666.12 


6 003.42 


75-736 


417.127 


I 852.355 


78 


40547 


I 260.65 


4 337-30 


66.416 


341-391 


I 435.228 


79 


32346 


93719 


3 076.65 


57.2J7 


274-975 


I 093.837 


80 


253-75 


683-44 
48809 


2 139.46 


48.641 


217.708 _ 


818862 


81 


19535 


I 45602 


40472 


169.067 ' 


601 154 


82 


147.37 


34072 . 


967-93 


32.976 


128.595 ' 


432087 


88 


108.72 


231997 


627.206 


26.256 


95-619 


303492 


84 


78.287 


153-710 


395209 


20.432 


69.363 


207.873 


86 


54.843 


98.867 


241.499 


15.395 


48.931 


138.510 
89579 


86 


37.339 


61.528 


142.632 
81.104 


11.308 


33536 


87 


24-595 


36.933 


8.0202 


22.2281 


56.0433 


88 


15628 


21.305 


44.171 


5-4561 


14.2079 


33815a 


89 


9S7I 


"•734 


22.866 


3.6050 


8.7518 


196073 


90 


5-598 


6.136 


II. 132 


2.2545 


5.1468 


10.8555 


91 


3.128 


3008 


4.996 


1.3278 


2.8923 


57087 


92 


1.680 


1.328 


1.988 


0.7817 


1-5645 


2.8164 


98 


0.834 


0.494 


0.660 


■4510 


0.7828 


1.2519 


94 


.351 


-143 


.166 


.2168 


•3318 


0.4691 


96 


.120 


.023 


.023 


.0927 


.1150 


•1373 


9« 


.023 


.000 


.000 


.0223 


.0223 


.0223 



Constant. 



(1 -f 
(I -H m 

V 

d 
(J 



Number. 



.04 
104 
1.0198039 

•9615385 
.9805807 
.0384615 
.0392207 
.0396078 



Logarithm. 



f. 6020600 
0.0170333 
00085167 
T.9829667 

T9914833 
1.5850267 

f-5935156 
¥5977807 



230 American Tropical Experience Table. 



Table II. 

COMMUTATION COLUMNS— AMERICAN TROPICAL EXPERIENCE 
TABLES, THREE AND ONE-HALF PER CENT. 



Arc. 



20 
21 
22 
28 
24 

26 
26 
17 
28 



SO 
81 
82 
88 

84 

85 
86 
87 
88 
89 

40 
41 
42 
48 
44 

45 
46 
47 
48 

49 

50 
51 
62 
68 
54 

65 
56 
57 
58 
59 

60 
61 
62 
63 
64 



D. 



50 257 
47 987 
45 816 
43 740 
41 754 

39 853 
38 035 

36 295 
34 629 
33 035 

31 509 
30 048 

28 649 

27 308 

26 024 

24 794 
23 615 

22 485 
21 401 
20 362 

19 365 
18 408 

17 490 
16 608 
15 760 

14 946 
14 164 

13 4" 
12 687 

II 991 

II 321 

10 675 
10 054 

9 454 9 
8 878.2 

8 322.6 
7 787 I 

7 271.3 
6 7746 

6 296.2 
5 836.1 

4 560.8 
4 170.3 



N. 



9^3 139 
865 152 

819336 

775 596 

733 842 

693 989 

655 954 
619 059 

585 030 

551 995 

520 486 
490 438 
461 789 

434 481 
408 457 

383663 
360 048 

337 563 
316 162 

295 800 

276435 
258 027 

240 537 
223 929 
208 169 

193 223 
179 059 

165 648 

152 961 
140 970 

129 649 
118 974 
108 919.8 

99 4649 
90 586.7 

82 264.1 
74 4770 
67 205.7 
60 431. 1 

54 134 9 

48 298.8 

42 9053 
37 936.8 
33 3760 
29 205.7 



S. 



14 491 634 
13 578 495 
12 713 343 
II 894 007 
118 411 



II 



10 384 569 
9 690 580 
9 034 626 

8 414 967 
7 829 937 

7 277 942 

6 757 456 
6 267 018 
5 805 229 
5 370 748 

4 962 291 
4 578 628 
4 218 580 
3 881 017 
3 564 855 



269 055 
992 620 

734 593 
494 056 

270 127 



2 061 958 
I 868 735 
1 689 676 
I 534 028 
1 371 067 



I 
I 



230 097 
100 448 
981 473.6 

872 553-8 
773 088.9 

682 502.2 
600 238.1 
525 761.1 
458 555-4 
398 124-3 

343 9894 
295 6906 

252 783 3 
214 848 5 

181 472 5 



C. 



570.06 

547-97 

527 17 

50715 
488.73 

470.57 
45387 
43814 
423.32 
408.65 

39586 
382.81 

371.47 
360.46 

350.07 

34055 
331 56 
323.32 

3»5 53 
308.64 

301.87 
296.14 
29068 
285.69 
281.14 

277.18 
273. 36 
270.26 
267.42 
264.82 

262.61 
260.58 
258.72 
25699 
25538 

254-<g 

252.48 

250.87 
249 22 
247.27 

245.16 
242 68 
239.62 
236.28 
232 24 



M. 



678.03 
107.97 
560.00 
032.83 
525.68 

0369s 
566.38 

112.51 

67437 
251.05 

842.40 
446.54 
063.73 
692.26 
331.80 



o 981.73 
o 64T.18 
o 309.62 
9 986.30 
9 670.77 

9 362.13 
9 060.26 
8 764.12 

8 473-44 
8 187.75 

7 906.61 
7 629.43 
7 356.07 
7 085.81 
6 818.39 

6 553-57 
6 290.96 

6 030.38 
5 771 66 
5 514.67 

5 259.29 
5 005.26 

4 752.78 
4 501 91 
4 252.69 



R. 



4 
3 
3 
3 
3 



005.4a 
760.26 
S17-58 
277.96 
041 68 



440 761.19 
423 083.16 

405 975.19 
389 415.19 

373 382.36 

357 856.68 
342 819.73 
328 253.35 
314 140.84 
300 466.47 

287 215.42 
274 37302 
261 926.48 
249 86275 
238 170.49 



226 838.69 

215 856.96 

2->5 215.78 

94 906.16 

84 919.86 

75 249.09 
65 88696 
56 826.70 

48 062. c;8 

39 589.14 

31 401.39 
23 494.78 
15 865.35 
08 509.28 
01 42347 

t4 605.08 
8 051.51 
81 76a55 
75 730.17 
69 958.51 

64 443-84 
59 184.55 
54 179.29 

49 426 51 
44 92460 

40 671.91 
36 666.49 

32 906.23 
og 388.65 
26 110.69 



American Tropical Experience Table. 



231 



Table II.— Cant. 

COMMUTATION COLUMNS— AMERICAN TROPICAL EXPERIENCE 
TABLES, THREE AND ONE-HALF PER CENT. 



Age. 


D, 


66 


3 797.1 


66 


3 441-2 


67 


3 102.6 


68 


2 781.8 


66 


2478.8 


70 


2 194.0 


71 


I 927.5 


76 


I 679.7 


76 


I 450.9 


74 


I 241.0 


76 


I 050.2 


76 


878.37 


77 


725-32 


76 


590.50 


76 


473.34 


80 


373.12 


81 


288.64 


66 


218.79 


86 


162.20 


64 


"735 


66 


82.609 


86 


56.514 '• 


87 


37405 
23 883 


88 


89 


14.697 


90 


8.638 


91 


4.850 


98 


2.617 


98 


1305 


94 


.552 


96 


.190 


96 


.037 



Constant. 



V 

d 



N. 




S. . 


25 408.6 
21 967.4 
18 864.8 
16 0830 
13 604.2 


152 266.8 
126 858.2 
104 890.8 

86 026.0 
699430 


II 410.2 

9 482.7 
7 803.0 
6 352.1 
5 "I.I 


56 338.8 
44 928.6 

35 445.9 
27 642 9 

21 290.8 


4 060.93 
3 182.56 

2 45724 
I 86674 

I 393-40 


16 

12 

8 

6 

4 


179.67 
118.74 

936.18 

47894 

6i2.ao 


I 020.28 

731.64 
512.85 
350.65 
233.297 


3 

2 

I 


218.80 

19852 
46688 
954-03 
603.382 


150688 

94-174 
56.769 

32.886 

18.189 




370.085 
219.397 
125 223 

68.454 
35.568 


9-551 
4.701 
2.084 

•y/9 
.227 




3.127 

1-043 
.264 


.037 
.000 




•037 
.000 




Number. 



.035 

1035 

I.0173495 
.9661836 
.9820465 
.0338164 
.0344014 
.0346990 



227.48 
222.19 

215.93 
208.90 

201.03 

192.23 
182.62 
172.06 
160.76 
148.88 

136.31 

123.35 
110.30 

97.190 

84.207 

71.867 
60.087 

49- 195 
39-359 
30.777 

23.301 
17.198 
12 257 

8.3784 
55625 

3-4956 
2.0686 
1.2237 

•7094 
.3427 

.1472 
•0355 



2 809.4^ 
2 581 90 

2 359-77 
2 143.84 

I 934-94 

I 733.91 
I 541.68 
I 359.06 
I 187.00 
1 026.24 

877-36 

741.05 

617.70 

507.402 

410.212 

326.005 
254.138 
194.051 
144.856 

105.497 

74.720 

51-419 
34.221 
21.9636 

13-5852 

8 0227 

4-5271 
24585 
1.2348 

•5254 

.1827 
•0355 



R« 



23 069.01 
20 259.57 
17 677.61 

15 317-84 
13 174-00 

II 239.06 

9 505.15 
7 963.47 
6 604.41 

5 417-41 



4 

3 

2 

2 
I 



391-17 
513 81 
772.76 

155057 
647-655 

237.441 
911.438 
657-300 
46^249 

318.393 

212.896 
138.176 
86757 
52535s 
30.5719 

16.9867 
8.9640 

4-4369 

1.9784 

-7436 

.2182 

-0355 



LoKarithm. 



15440680 
0.0149403 
0.007470a 

T.9850597 
T.9925298 
¥.5291277 

^-5365764 
¥.5403170 



232 American Tropical Experience Table. 



TABLE in. 

COMMUTATION COLUMNS—AMERICAN TROPICAL EXPERIENCE 

TABLE, THREE PER CENT. 



Age. 


D. 


N. 


s. 


C. 


M. 


R. 


SO 


55368 


I 088 402 


18 124 163 


631.08 


22 053 87 


S^ 569-81 


21 


53 124 


I 03s 278 
984 3" 


17035 761 


609.57 


21 422.79 


560 515 94 


28 


5?^ 


16 000 483 


589.28 


20 813.22 


539 093-15 
518 279.93 


83 


48 893 


935 418 
888 S19 


15 016 Z72 


56966 


ao 223.94 


84 


46 899 


14 080 754 


551-63 


19654.28 


498055.99 


25 


44 982 


843537 


13 192 235 


533-71 


19 T02.65 


478 401.71 


86 


43 138 


800 399 


12 348 698 


51727 


18 568.94 


459 29906 


87 


41 364 


759035 


11 548 299 


501.76 


18 051.67 


440 730.12 


88 


39 658 


719 377 


10 789 264 


48715 


17 549-9Jt 


422 67845 


89 


38015 


681 362 


10 069 887 


472.55 


17 062.76 


405 128.54 


80 


36436 


644 926 


9 388 525 


459 99 


16 590.21 


388 065.78 


SI 


34 914 


610 012 


8 743 509 


44698 


16 130.22 
15 683 24 


371 475-57 


S8 


33 451 


576 561 


8 133 587 


43584 


355 345 35 


88 


32 040 


544 '^21 


7 557 026 


424.98 


15 247.40 


339 662.11 


84 


30 682 


513 839 


7 012 505 


414.73 


14 822.42 


324414.71 


85 


29 374 


484 465 


6 498 666 


40541 


14 407.69 


309592.29 


86 


28 113 


456 352 


6 014 201 


39662 


14 002.28 


995 18460 


87 


26 897 


429 455 


5 557 849 


388.65 


13 605.66 


281 182.3a 


88 


25 72s 


403 730 


5 128 394 


381. II 


13 217.01 


267 576.66 


89 


24 595 


379 135 


4 724 664 


37461 


12 835.90 


aS4 359-65 


40 


23 504 


355 6« 
333 180 


4 345 529 


368.17 


12 461.29 


241 523-75 


41 


22 451 


3 989 898 


36293 


12 093.12 


229 062.46 


48 


21 434 


3" 746 


3 656 718 


357.97 


II 730 19 


216 969 34 


43 


20 452 


291 294 


3 344 972 


35354 


II 372.22 


205 23915 


44 


19 503 


271 791 


3 053 678 


34959 


II 018.68 


193 866.93 


45 


18 585 


253 206 


2 781 887 


346.34 


10 669.09 


182 848.25 


46 


17698 


235 508 


2 528 681 


34323 
34098 


10 322.75 


172 179.16 


47 


16 839 


218 669 


2 293 173 


997952 


161 856.41 


48 


16 008 


902 661 


2 074 504 


33903 


9 638.54 


151 876.89 


49 


15 202 


187 459 


1 871 843 


337 37 


9 299.51 


14a 238.3s 


50 


14 422 


173 037 


I 684 384 


33618 


8 962.14 


13a 938.84 


51 


13 666 


159 371 


I 511 347 


33521 


8 62596 


123 976 70 


58 


12 933 


146 438 


I 351 976 


334-42 


8 290.75 


IIS 35074 


58 


12 221 


134 217 


I 205 533 


33380 


7 956.33 


107 059 99 


54 


" 532 


122 685 


I 071 321 


333.32 


7 622.53 


99 103.66 


55 


10 863 


III 822 


94S 636 


33317 


7 289.91 


91 481.13 


56 


10 213 


loi 609.1 


836 813.8 


33274 


6 956-04 


84 1919a 


57 


95828 


92 026.3 


735 204.7 


332.23 


6 623.30 


7723588 


58 


89714 


83 054 9 


643 178.4 


33164 


6 99Z.07 


70 612.58 


59 


8 378.S 


74 6764 


560 123. 5 


33064 


5 959 43 


64 321.51 


60 


7 8038 


66 872.6 


485 447- 1 


329-41 


5 628.70 
5 299 38 


58 362.08 


61 


7 247- 1 


59 625.5 


418 574 5 


327.66 


52 733.29 


68 


6 708.4 


52 917. 1 


358 949 


325 11 


4 971-72 


47 433 91 


63 


6 187.9 


46 729.2 


306 031.9 


322.12 


4 646.61 


42 462 IQ 

37 815 58 


64 


5 685.5 


41 043.7 


259 302.7 


318.16 


4 3*4 49 



American Tropical Experience Table. 



233 



Table III.— Comt. 

COMMUTATION COLUMNS-AMERICAN TROPICAL EXPERIENCE 

TABLE. THREE PER CENT. 



Age. 


D. 


N. 


s. 


c. 


M, 


k» 


66 


5 aoi.8 


1 

1 
35 841.9 


218 259.0 


313.15 


4 006.33 33 491.09 
3 603.18 29 484.76 


66 


4 737.1 


31 104.8 


^ 182 417.1 


307.34 


67 


^f?l^ 


26 813.0 


151 312.3 


300.14 


3 385.84 


25 791 58 


68 


3 866.7 


22 940.3 
194841 


124 499-3 


291.78 


3 085.70 


32 40574 


69 


3 46a.a 


loi 553.0 


282.15 


2 793.9a 


19 3ao.o4 


70 


3079.3 
2 718.5 


16 404.8 
13 686.3 
II 305-8 


8a 068.9 


271. II 


3 5"-77 


16 536.1a 


71 


65 664.1 


258.81 


a 240.66 


14 014.3s 


78 


2380.5 


51 977.8 


245.03 


I 981.85 


II 773 69 


78 


2 066.1 


9 239-7 


40 672.0 


230.04 


1 736.82 


9 791-84 
8 055.0a 


74 


I 775-9 


7 4638 


31 433.3 


214.08 


I 506.78 


76 


I S^o.i 


5 953-7 


23968.5 
18 014.8 


196.95 


' I 392.70 


6548.24 


76 


I 269.2 


4684.5 


179 OQ 


' I 095.75 


5 255.54 


77 


1 053-1 


3 631.38 
2 769.87 


13 330.32 


160.92 


916.66 


4 159 79 


78 


861.51 


9 698.94 


142.48 


1 75574 


3 343 13 


78 


693-93 


2 075.94 


692907 


124.05 


613.26 


3 487.39 


70 


54967 


I 526.27 


3 326.86 


106.39 


489.21 


1 874.13 


11 


427.28 


I 098.99 


89.380 


382.822 


I 384.Q16 


82 


32545 


773.54 


2 227.87 


73.532 


293.442 


I 002.094 


88 


242.44 


531.10 


I 454.33 


59.116 


219.910 


708.652 


84 


176.26 


35484 


923.23 


46.451 


160.794 


488.742 


86 


124.68 


230.160 


568389 


35.338 


"4343 


327-948 


86 


85709 


87.448 


338.229 


26.209 


79.005 


213.605 


87 


57003 


193.778 


18.769 


52.796 


134.600 
81.804 


88 


36.574 


50.874 


106.330 


12.893 


34.027 


89 


22.616 


28.258 


55456 


8.601 1 


21.1344 


477765 


90 


»3-356 


14.902 


27.198 


54313 
3.2398 


13 5333 


26.6421 


91 


7.536 
4.087 


7366 


12.296 


7.1020 


14 1088 


98 


3279 


4930 


1.9108 


3.8732 


7.0068 


98 

94 


2.048 
.870 


1. 231 

.301 


1. 651 
.420 


I.II83 
.5429 


19524 
•8341 


31346 
1. 1822 


M 


.30a 


059 


•059 


.2343 


.3912 


•3481 


98 


•059 


.003 


.000 


.0569 


.0569 .0569 


Consunt. 




N umber 


■ 


Logarithm. 




• 

t 






.03 




1^771213 




' + *i 






1.03 




0.0128372 




i-htVA 






1. 01488 


91 


0.0064186 




V 






.97087 


38 


T.9871628 




v% 






•98532 


93 


T-9935814 




d 






.02912 
•02955 


62 
88 


T.4643838 
f.4706867 




(«) 






.02977 


«3 


'-473 


18999 



234 



American Tropical Joint Life Table. 



TABLE IV. 

AMERICAN TROPICAL EXPERIENCE— JOINT LIFE (TWO LIVES) 
COMMUTATION COLUMNS. FOUR PER CENT. 



■ 


D„ 


N« 


M„ 


R« 


20 


4 563 9CX) ooo 


62 578 8 


I 981 500 000 


34 095 900 coo 


21 


4 285 9 


58 292 9 


I 879 


32 114 4 


22 


4 024 2 


54 268 7 


I 782 2 


30 235 4 


28 


3 777 8 


50 490 9 


I 690 6 


28 453 2 


24 


3 545 9 


46 945 000 000 


I 603 9 


26 702 6 


25 


3 327 400 000 


43 617 6 


I 521 800 000 


25 is8 700 cxx> 


26 


3 121 7 


40 495 9 


I 444 I 


23 636 9 


27 


3 927 9 , 


37 568 


I 370 4 


22 192 8 


28 


2 745 4 


34 822 6 


I 3005 


20 822 4 


29 


2 573 4 


32 249 200 000 


I 234 I 


19 521 9 


80 


2 411 500 ocx> 


29 837 7 


I 171 100 cxx> 


18 287 8cx> (xx> 


81 


2 258 8 


27 578 9 


I III 20 


17 116 70 


82 


2 115 I 


25 463 8 


I 054 30 


16 005 50 


88 


1 979 5 


23 484 3 


I 000 10 


14 951 20 


84 


I 851 7 


21 632 600 000 


948 46 


13 951 08 


86 


I 731 300 000 


19 901 3 


899 230 000 


13 CX32 620 CXX) 


86 


I 617 7 


18 283 6 


852 24 


12 103 39 


87 


1 510 6 


16 773 


807 36 


" 251 IS 


88 


I 409 6 


15 363 4 


764 45 


10 443 79 


89 


I 3H 3 


14 049 100 000 


723 40 


9 ^9 34 


40 


I 224 400 000 


12 824 70 


684 060 000 


8 955 940 000 

8 27T 88 


41 


I 139 60 


II 685 10 


646 38 


42 


I 059 60 


10 625 51 


610 19 


7 625 50 


43 


984 II 


9 641 40 


575 44 


7 015 31 


44 


912 87 


8 728 530 000 


542 04 


6 439 87 


46 


845 640 000 


7 882 89 


509 930 OCX) 


5 8c)7 830 OCX) 


46 


782 21 


7 100 68 


479 02 


5 38790 


47 


722 37 


6 378 31 


449 27 


4 908 88 


48 


665 92 


5 712 39 


420 60 


4 459 61 


49 


612 67 


5 099 720 000 


392 97 


4 039 01 


60 


562 480 000 


4 537 24 


366 340 000 


3 646 040 cxx> 


61 


515 19 


4 022 05 


340 68 


3 279 70 


62 


470 66 


3 551 39 


3^5 97 


2 9-^ oa 


63 


428 77 


3 122 62 


202 18 


2 623 c>s 


64 


389 41 


2 733 210 OCX) 


269 31 


2 330 87 


66 


352 470 000 


2 380 74 


247 350 «» 


2 061 560 000 


66 


317 84 


2 062 90 


226 27 


I 814 21 


67 


285 45 


I 777 45 


206 II 


I 587 94 


68 


255 22 


I 522 23 


186 85 


I 381 83 
I 19498 


69 


227 07 


I 295 160 000 


168 52 


60 


900 950 000 


I 094 21 


151 130 000 


I 026 460 OCX) 


61 


176 78 


917 43 


134 700 


875 330 


62 


154 52 


762 91 
628 80 


119 230 


740 630 


68 


134 " 


104 7/0 


6ai 400 


64 


115 50 


513 297 000 


91 313 


5»6 033 



American Tropical Joint Life Table. 



235 



Table W.—Coni. 

AMERICAN TROPICAL EXPERIENCE— JOINT LIFE (TWO LIVES). 
COMMUTATION COLUMNS, FOUR PER CENT. 



Age. 


D„ 


N„ 


"*»« 


R.. 


65 


98 622 000 


414 ^S 


78 880 000 


425 320 000 


66 


84 433 


331 342 


67 484 


346 440 


67 


69 860 


261 382 


57 120 


278 956 


68 


57 845 


303537 


47 792 


221 836 


69 


47 310 


156 327 000 


39 482 


174 044 


70 


38 174 000 


118 053 


32 165 000 


134 562 000 


71 


30 350 


87 703 


25 810 


102 397 


72 


23 740 


63 963 


20 367 


76 587 


78 


18 243 45 730 1 


15 783 


56 220 


74 


13 749 


31 971 000 


11 991 


40 437 


75 


10 141 000 


21 830 


8 911 500 


28 446 300 
19 534 8 


76 


7 307 3 


14 522 7 


6 467 7 


77 


5 132 2 


9 390 5 


4 573 6 


13 067 I 


78 


3 503 7 


5 886 8 


3 142 5 


8 493 5 


79 


2 318 9 


3 567 900 


2 092 5 


5 351 


80 


I 484 aoo 


2 083 65 
I 168 80 


I 347 000 
834 71 


1 258 500 


81 


914 85 


I 911 46 


88 


541 43 


627 57 


496 48 


1 076 75 


88 


306 49 


320 88 


282 36 


580 27 


84 


165 26 


155 622 


152 92 


297 91 


85 


84 349 


71 273 


78 363 


144 985 


86 


40 662 


30 611 


37 921 


66 622 


87 


18 348 


12 262.9 


17 170 


28 701 


88 


7 7048 


4 558.1 


7 233 I 


" 5309 


89 


3 a>5-3 


I 552.8 


2 830.0 


4 297.8 


90 


I 069.2 


48361 


I 009.5 


I 467.8 


91 


347-23 


136.38 


328.63 


458.29 


92 


104.16 


32.216 


98.918 


139.658 


98 


26.681 


5-535 


25.442 


30740 


94 


4.910 


.625 


4.6975 


5.2980 


95 


.602 


.023 


.5782 


.6005 


96 


.023 


.000 


.0223 


.0223 


Constant. 


Number. 


Logarithm. 




1 


•«H 




1.6020600 




(I -f i) 


I.<H 




0.0170333 




(i + OM 


z. 0198039 




0.0085167 




V 


•9615385 
.9805807 




T.9829667 




vH 




19914833 




d 


.0384615 




¥.5850267 




A 


.0392207 




¥•5935156 




y(8) 


.0396078 




¥.5977807 



236 



American Tropical Joint Life Table 



Table V. 
AMERICAN TROPICAL EXPERIENCE— FORCE OF MORTALITY (u.) 



Age. 



^x 



to 
tl 

M 

ts 

t4 

tb 

te 

27 
t8 
19 

80 
81 
8f 
88 

84 

8& 

86 
87 
88 
89 

40 
41 
42 
48 
44 
45 



0.01177 
.01185 
.01193 
.01903 
.01213 

.01224 
.01236 
.01350 
.01265 
.01281 

.01299 
.01318 
.01339 
.01363 
.01388 

.01416 
.01447 
.01481 
.01518 

•01559 

.01603 
.01652 
.01706 
.01765 
.01899 
.01900 




46 
47 
48 
49 
60 

51 
52 
58 
54 
55 

56 
57 
58 
59 
60 

61 
62 
68 
64 
65 

66 
67 
68 
69 
70 
71 



f^. 



01977 
09062 

<»I55 
02257 

02369 

02492 
02627 

02774 
03936 

03114 

03522 

03755 
04012 

04393 

04602 
04940 
05310 

05717 
06163 

06651 
07187 

07775 
08419 

09126 

09900 



Age. 



u. 



72 
78 
74 
75 
76 

77 
78 
79 
80 
81 

82 
88 
84 
85 
86 

87 
88 
89 

90 
91 



98 

94 
95 
96 

97 



10750 
II681 
12702 
13822 
15049 

16996 
17872 
19490 
21265 
932x0 

aS344 
27683 

30348 

33061 

36144 

39526 

:^ 

5^756 
56643 



67878 

7432* 
81386 

89132 
00000 



NATIONAL FRATERNAL CONGRESS TABLE. 

INTRODUCTION. 

This table was deduced from the mortality experience 
of the Massachusetts fraternal societies, the Royal 
Arcanum and the Pilgrim Fathers, with reference also to 
the published tables of the Canada Life Insurance Com- 
pany and the Australian Mutual Provident Society. 

The table was graduated by George Dyre Eldridge, 
actuary. 

The commutation columns are here reproduced by the 
special permission of Abb Landis, consulting actuary; they 
are from his book, **Life Insurance Premiums," which 
also contains valuable tables of net premiums and termmal 
reserves. 

This table has been approved by the National Fraternal 
Congress as a minimum standard for net rates of premium. 



National Fraternal Congress Table, 
mortality table. 



— 


u™r 


„.. 


l'»«««L,r,.s 


Arc 


Li Y log 




PSOBAltLlTlEt 


Aft 


Surviving 


Dyinn 


i/ 


Sufiyi-, 


Dying 


U 

n 
u 


'E 

97994 


SOI 
50a 
503 
505 


.9950000 
■994904S 


.0050353 
.0050708 
.0051068 
■005.535 


\ 


6653" 
6475* 
62874 


'985 


.9773496 

■9753566 
.9733760 

:sse 


,0337504 

.0346434 
.0367340 
,0390330 

■0315711 


I 


97*89 
g69te 

9647a 

93959 
95443 


507 

5<3 
S17 


9W7994 

,9946133 
■9945307 


.0053006 
■""587 
.0053176 
.0053877 
.0054693 


6S 


60889 

is; 


3318 


.9510333 


.0343904 

.Q4096J0 
.044775E 
.0489767 


w 


949" 
933" 


5*7 
533 
UP 

34B 
557 


,9944480 
-9943534 

.99399*0 


■OOS753' 
.0058733 
.0060040 


i 


493" 
46057 
43913 


2645 


.9333305 


.0708..3 
■077779s 




91070 


S67 
57S 

6i3 


■9938513 
.9936933 
.993510S 

■9933M3 
.9930791 


.0063057 
.D064895 
.oo6'j977 
.oc6930y 


i 


Ii 

3615= 

33 '75 


3^ 
3905 


.9145343 
.87*6494 


■0854757 
■09399=7 
.1034010 

■ii38,M^ 
.1353506 


** 


87951 


3 

734 


.9938391 
■99i5"3 


.007170(1 
.0074483 

:SSg 

.0084797 


ae 


5| 


«B^ 


.8478049 
-7959590 


■1380858 
.1531951 
■1677694 
.1849599 
.30404.0 


1 


&1 


76. 


-99"33» 
-9W^ 
.9903463 
.9897.107 
.989176' 


:o«»87o 
■009753B 


(8 

87 
SB 


7997 
=358 


'539 
IJ77 

■3 


.7749'Sfi 

.as 


,374.530 
.30=5731 
■334181s 


il 


807^ 

J8757 
77674 


ii 


.9878540 
.9853*33 


.0131400 

.QiaajTo 
■01375" 
.014676; 


80 


'i 


579 

3*4 

'89 


.63.3103 
.S9=33'o 
.55'"555 
.5015480 
.4506173 


■440744.1 

■498,5:0 
.5493837 


i; 


76534 

73730 
7130a 


1370 
1343 

1418 
1501 


.9843946 

■98°S«)6 
.9789487 


;oi6Ssa7 

.01940M 
.03.0513 


SI 


73 

»9 
3 


3 


.3448376 


■6037397 
.6551714 


M 







240 



National Fraternal Congress Table. 



COMMUTATION COLUMNS. 
FOUR PER CENT. 



Afc. 


D« 


N. 

1 

1 


s. 


c. 


M> 


R. 


to 
n 

t4 


45638.7 
43663.9 
41773.2 

39962.8 
38230.0 


889569-8 
845905.8 
804132.6 
764169.8 

725940.3 


15263684 

I 43741 14 
13528208 

13724076 
"959906 


319.4168 
2x1.3996 
203.6746 
196.3311 
189.4340 


9669.139 
9449-722 

9238.32; 
9034.648 
8838.417 


3x2x74.1 

302505.0 

^930553 
383817.0 

374782.3 


n 

t6 

t7 
U 
19 


36569.8 
34980.4 
33458.1 
32000.2 
30603.6 


689370.5 
6543901 
690932.0 

5889319 
558328.3 


11233966 

IOS44595 
9890205 

0269273 
8680341 


182.8694 
176.8765 

1710739 
165.7768 
1609433 


8648983 
8466.113 
8289337 
8118.163 
7952386 


265943.9 

257^94-9 
348828.8 

2405395 
333421.4 


SO 
SI 
8t 

ts 

S4 


293656 

279838 

26755.5 

25578.5 
24450.3 


529062.7 

501078.9 

4743233 
448744.9 
424294.6 


8122013 
7592950 

7091671 
6617548 
6168803 


156 3346 

151.9359 
148.0109 

1444265 
141.1524 


7791-444 
7635.209 
7483.273 

7335263 
7190.856 


334469.0 
316677.5 
309043.3 
901559.1 
194223.8 


S6 
S6 
S7 
S8 
89 


23368.7 
22331.8 

21337.4 
20383 6 

19468.3 


400925.9 
3785942 
357256.8 
336873.2 
317404.8 


5744509 
5343583 
4964988 

4607732 
4270859 


138.1602 
135-4236 

1331437 
131.2721 

129-5558 


7049.684 
6911.523 
6776.100 
6642 956 
6511.684 


1870^3.0 

1799833 
173071.8 

1662957 
159652.7 


40 
41 
48 
48 
44 


18590.0 
17746.8 
16937.2 

,16159-3 
I54"7 


298814.8 
2810680 
264130.8 
247971.6 

232559.9 


3953454 
3654639 
3373571 
3109440 

286x469 


128.1779 
127.0995 
126.4699 
126.0568 
125.6596 


6382.138 

6253 950 
6126.851 
6000.381 
5874.324 


15314x0 

1467589 
140504 9 

134378 I 
128377.7 


46 

46 
47 
48 

49 


14693.3 
14002.9 

13339-3 
12701.1 

12087.2 


217866.6 
203863.7 

1905245 
177823.3 
165736 2 


2628909 
2411042 
2207x78 
2016654 
1838831 


135.2711 
1250432 
125.1041 

125.4143 
125.7971 


5748.665 

5625.393 

5498-350 
5373.246 

5247-832 


133503.4 

165754-7 

111313.3 
105633 

100359.7 


SO 
61 
68 

68 
64 


11496.5 
10927.8 
10379 9 
9851950 
9342.763 


154239.6 
143311.8 
132931.9 
12^080.0 

"3737.2 


1673094 

1518855 

1375543 
1242611 

" 19531 


126.5061 
127.6249 
128.7207 
130.2651 
131.8472 


5133.035 

4995.529 
4867.904 

4739183 
4608.918 


95011.90 
89889.86 

8489433 
8009643 

75287.25 


66 
66 
67 
68 
69 


8851.579 

8377.463 

7919.451 
7476 876 

7019 117 


104885 6 
96508.17 
88588.72 
81111.85 
74062.73 


1005794 
900908.2 
8044000 
7158" 3 
634699.5 


133.6711 
13S.8011 
137.9809 
140.1875 
1426857 


4477-071 
4343.400 

4207.599 
4069.617 

3929.430 


70678.3a 
6630X.26 
61857.86 
57650.36 
53580.64 


60 
61 
68 
68 
64 


6635.311 

6234-957 
5847.410 
5472.254 
5109.017 


67427.42 
61192.46 

55345 OS 
49872.80 

44763.78 


560636.7 

4932093 
432016.9 

376671.8 

326-/990 


145-1499 
147.7409 

150.2558 

152.7651 

155.0935 


3786.745 
3641.595 
3493854 

3343598 
3190.833 


49651.31 

4586447 
43223.87 

38739.03 
353854a 



National Fraternal Congress Table. 



241 



COMMUTATION COLUMNS. 
FOUR PER CENT.— Oi/. 



Age. 


D, 


N. 


s« 


c. 


M, 


R. 


66 


4757-423 


40006.36 


289035.2 


157-3172 


3035739 


32194.59 


66 


4417.128 


35589-23 


242028.9 


I59-,^S72 


2878.422 


29158.85 


67 


4087.881 


31501.35 


206439 6 
174938 3 


161.0076 


2719.065 


26280.43 


68 


3769.648 


27731.70 


162.2953 


2558.057 


23561.36 


69 


3462.366 


24269 33 


147206.6 


163.0531 


2395.762 


21003.30 


70 


3166.14s 


21 103. 19 


122937.3 


163.3272 


2232.709 


18607.C4 
16374.83 


71 


2881.043 


18222.15 


101834.1 


162.9235 


2069.382 


7t 


2607.310 


15614.84 


83611.93 


161. 6812 


1906.458 


1430545 


78 


2345 348 


13269.49 


67997 09 


159.6896 


1744777 


12398.99 


74 


2095 -452 


11174.04 


54727.60 


156.7147 


1585.087 


10654.2a 


75 


1858-143 


9315-893 


43553-56 


152.7174 


1428.373 


9069. 129 


76 


1633 959 


7681 934 


34237 67 


147.6732 


1275655 


7640.756 


77 


1423.441 


6258.493 


26555 74 


141-5243 


1127.982 


6365.101 


78 


1227.169 


5031.324 


20297 24 


134-3213 


9864579 


5237.119 


79 


1045.649 


3985-675 


15265.92 


126.0315 


852.1366 


4250.66Z 


80 


879 4003 


3106.27, 


11280.24 


116 7622 


726.1051 


3398.524 


81 


728.8150 


2377 460 


8173.969 


106.6558 


6093429 


2672.419 


8S 


594.1278 


1783.332 
1307.898 


5796.509 


95.84274 
8455404 


502.6871 


2063.076 


88 


475 4340 


4013 177 


406.8443 


1560.389 


84 


372 5940 


93S-30-P 


2705.279 


73- 10045 


322.2903 


"53-545 


85 


285.1631 


650.1409 


1769-975 


61.71707 


249.1898 


831-2547 


86 


212.4782 


437.6627 


1119 835 


50 73856 


187.4728 


582.0649 


87 


153 5674 


284 095 J 


682.1718 


40 48154 


136.7342 


394.5922 


88 


107.17^ 


176.9160 


398.0764 


31.18232 


96.25265 


257.8580 


89 


71.87479 


105.0412 


221.1605 


2309541 


65.07033 


161.6053 


90 


46.01497 


59.0261Q 


116.1193 


16.31716 


41.97492 


96.5350 


91 


27.92800 


31.0981Q 


57 0931 


10.94748 


25.65776 


54.5601 


98 


15.90636 


15 19183 


25 9949 


6.878653 


14.71028 


28 9023 


98 


8.415927 


6.77590 


10.8031 


4033592 


7 83163 


14.1990 


M 


4.058646 


2.71726 


4.0272 


2.143990 


379803 


6.3604 


95 


1-758554 


0.95870 


1-3099 


1.019183 


1.65404 


2.5624 


96 


0.671734 


0.28697 


•3512 


0.423175 


063486 


.9083 


97 


0.222724 


0.06425 


.0642 


0.14991C 


21169 


•2735 


98 


0.064247 






0.061776 


0.06178 


.0618 



242 



National Fraternal Congress Table. 



COMMUTATION COLUMNS, 
THREE AND ONE-HALF PER CENT. 



Ag«. 


D. 


N. 


s. 


c. 


M. 


R. 


20 
21 
22 
28 
24 


50256.6 

48314.3 

464454 

446473 
43917.2 


1066360 

10x8050 

97x606 

936959 

884042 


19378800 
482x3400 
X7X94300 
X 6222700 
15295700 


243.786 

235044 
337.550 

330.393 
213.689 


12496.5 
12253.7 
xaoi8.7 
1x791.3 
1x570.9 


426937 

414430 
403x76 
W>T57 
378366 


26 
26 

27 
18 
M 


41253.2 

39649.9 
38x07.6 

36623.x 
35194.0 


842790 
803x40 

765032 
728409 

693215 


144XX700 
X 3568900 
X2765800 
i3ooo8oo 
1x373400 


ao7.28x 
30X.456 
195.788 

190.643 
185.978 


"357.a 

11X49-9 
10948.4 

X0753.6 

X0563.0 


366795 

355438 
344288 

333340 
323587 


80 
81 
82 
88 

84 


33818.0 
32492.9 
31216.9 

29987.7 
28803.5 


659397 
626904 

595687 

565699 

536895 


X0579200 

9919750 

9292850 
8697x60 
8x31460 


X8X.410 
X 77 .270 

173-525 
X70I4I 

X67.087 


xa376o 
XOX94.6 
100x7 3 

9843.74 
9673.60 


312035 
301649 

291454 
«8i437 

•71593 


86 
86 
87 
88 
89 


27662.4 
26562.6 

25502.5 
24480.2 

«3493-9 


509233 
482670 

457168 

432688 

409x94 


7594560 
7085330 

66o3Dfco 

6x45490 

57x2800 


X6I.858 

159.902 

158.416 
X57.IOO 


9506.51 
9342.18 
9180.33 
9030.43 
8863.00 


361919 
253412 

243070 
233890 
334870 


40 
41 
42 
48 
44 


22«;42 3 
21623 9 
207370 
198802 
19052. 1 


386652 
365028 

344291 
324411 
305359 


5303610 
49x6960 

4551930 

4207640 

3883230 


156 180 
1556x4 
155.591 
155.833 

156.093 


8704.90 
8548.73 

8393." 
8237.52 
808X.69 


316008 
207303 

198754 
190361 

183133 


46 
46 
47 
48 

49 


18251.7 

17478.1 
16730.3 
X6006.8 

153067 


287107 
269629 
252899 
236892 
22x585 


3577870 

3290760 
302XX30 
2768230 

2531340 


156361 
156 83X 
157665 

X58.820 
160.074 


7935.60 
7769.34 
7613.4X 

745474 
7295.92 


174041 
166115 

158346 

150734 

143279 


60 
61 
62 

68 
64 


14629. 1 
13972.6 

13336.1 
127x8.9 
12119.8 


206956 
192983 
179647 
X66928 
IC4808 


2309760 
2102800 
X 909820 

X730170 
1563240 


16x754 
163.972 

X66.X79 
X68.985 
I7X.864 


7135.85 
6074.10 
68x0. X3 

66439s 
647496 


135983 
138847 
12x873 
1 15063 
108419 


66 
66 
67 
68 
69 


11538. 1 
10972.9 
10423. 1 
9888. 16 
9367.46 


143270 
132297 
X21874 
11x980 
X026X9 


1408430 
X265I60 
1 132860 
XOI0990 

899004 


175.083 
178.733 

X33.479 
X86.393 

190.529 


6303. xo 
6x38.03 

594929 
5766.8X 

5580.52 


10x944 
9564x2 
895x3.3 

835639 
77797.1 


60 
61 
62 
68 
64 


8863 14 

836579 
788369 

7413 54 
695589 


93758.5 
85392.7 
775090 
7C095.5 
63139.6 


796385 

702626 

617233 

539724 
469629 


194 755 
X99.X90 

203.559 
207.958 

3X2. X48 


538999 
5195 23 
4996.04 

4792.48 
4584 52 


733x6 6 
66826.6 
6163X.4 

56635.4 
51842.9 



National Fraternal Congress Table. 



243 



commutation columns. 

THREE AND ONE-HALF PER CEST.—Coni. 



Age. 


Pe 


K» 


s. 


c. 


M. 


R. 


66 


650754 


56632.1 


406489 
349857 


216.229 


4372.37 


*7;58.4 


66 


6071.25 


50560.9 


220.091 


4156 14 


42886.0 


67 


5645.86 


449150 


299996 


223.444 


3936.05 


387299 


66 


5231 48 


396835 


254381 
214697 


226.319 


3712.61 


347938 


69 


4828.26 


34855.2 


228.475 


3486.29 


31081.2 


70 


4436.52 


304187 


17984a 


229.965 


325782 


275949 


71 


4056.51 


26362.2 


149423 


230.S04 

229.851 


3027.85 


24337.1 


7t 


3638.83 


22673.4 


123061 


279735 


21309.3 


76 


3334.23 


19339.2 


100388 


228.1x7 


2567.50 


18511.9 


/4 


299337 


10345.8 


81048.4 


224.949 


233938 


159444 


76 


2667.20 


136786 


64702.6 


220.270 


211443 


136050 


76 


2356.72 


11321.9 


51024.0 


214.024 


1894.16 


11490.6 


77 


2063.00 


9258.89 


39702.1 


206.103 

196.558 


1680 14 


959643 


76 


1787.14 


7471.75 


30443.2 


147404 


7916.29 


79 


1530.15 


5941.60 


22971.4 


185.318 


1277.48 


6442.25 


60 


1293.08 


4648.52 


17029.8 


172.518 


1092.16 


5164.77 


61 


1076.84 


3571.68 


12^81.3 
8809.60 


158.347 


919.640 


4072.61 


82 


882.076 ' 


2689.60 


142.981 


761.293 


315297 


88 


709.266 


1980.13 
1421.80 


6120.00 


126.749 


618.312 


2391.68 


64 


558532 


4139.67 


1 10. 109 


491.563 


177337 


65 


429.535 


992.266 


2717.87 


93.4121 


381.454 


1281.81 


86 


321.597 


670.669 


1725.60 


77.1665 


288.042 


900.356 


87 


233555 


437.114 


105493 


61.8643 


210875 


612.314 


88 


163 793 


273321 


617.811 


47.8834 


149 on 


4CI.439 


69 


no 371 


162.950 


344.490 


356365 


101.128 


252.428 


90 


71.0020 


91-9475 


181.540 


25.2992 


654913 


151.360 


91 


433015 


48.6460 


89.592 


17.0557 


40.1921 


85.808 


99 


24.7815 


238645 


40.946 


10.7684 


23.1364 


45-6i6 


96 


13.1750 


10.6895 


17.082 


6.34501 


12 3680 


22.480 


94 


6.38444 


4.3050 


6.392 


3 38888 


6.0230 


10.112 


96 


2.7796s 


1-5254 


2.087 


1.61875 


26341 


4.089 


96 


1.06690 


0.4585 


0.562 


0.67537 


10153 


1455 


97 


0.35546 


0.1030 


0.103 


024041 


3400 


0440 


96 


0.10303 

1 




• • • • 


0.09955 


0.0995 


100 



244 



National Fraternal Congress Table, 



COMMUTATION COLUMNS. 
THREE PER CENT. 



Age. 


D. 


N, 


s. 


c. 


M. 


R> 


to 


55367.6 


1285330 


34500600 


268.774 


X6318 3 


588033 


tl 


53486.2 


1231843 
I180170 


232 1530 J 


361 467 


160494 


571715 


M 


51666.9 


21983S00 


254-359 


157880 


555666 


SS 


499076 


I I 30270 


30803300 


347.442 


1553.^ 6 
15386.3 


539878 


t4 


48206.7 


1082060 


19673000 


241.190 


524344 


t& 


46561.3 


1035500 


18590900 


335.092 


15045.0 


S09058 


t6 


44970.0 


990527 


17555400 


339.596 


148099 


494013 


t7 


43430-6 


947«^7 


16564900 


334 220 


145803 


479203 


t8 


419414 


905155 


15617800 


319.387 


I43S6 I 


464623 


29 


40500.4 


864655 


14712700 


215-057 


14136.7 


450267 


80 


39'05 8 


825549 


13848000 


310.793 


X393T.6 


436130 


81 


37756.0 


787793 


13023500 


306.983 


13710.8 


422308 


88 


364493 


751344 


122347UO 


203.591 


13S039 


408497 


88 


351842 


716160 


11483400 


aoo.593 


13300.3 


394993 


84 


33958.7 


682201 


10767200 


197.948 


130997 


381693 


86 


32771.7 


649J29 


10085000 


19563^ 


13901.7 


368593 


86 


3J621.5 


617808 


9435580 


193.620 


13706.1 


355691 


87 


305069 


5S7301 


8817770 


192.208 


12512 5 




88 


29426.2 


557875 


8230470 


191-347 


12320.3 


330473 


89 


28377.7 


529497 


7672600 


190.678 


13128.9 


318153 


40 


373605 


502136 


7143100 


190482 


11938.3 


306024 

2914086 


41 


26373.2 


475763 


6640960 


190.713 


117477 


48 


25414-3 


450349 


6165200 


191. MI 


115.70 


282338 


48 


24482.4 


^258^^7 


5714850 


192839 


11365.4 


270781 


44 


23576.5 


402290 


5288980 


19409; 


11172 6 


259416 


46 


226957 


379594 


4886690 


195.376 


10978.3 


248243 


46 


21839 2 


3577^5 


4507100 


196.914 


10783. 1 


337264 


47 


21006 2 


336749 


4149340 


198.923 


10586.2 


236481 


48 


2019^5 


3^6553 


3812590 


aOI.353 


103873 


315895 


49 


19406.0 


297147 


3496040 


303.92^ 


10185 9 


305508 


60 


18636.8 


278511 


3198890 


307.068 


998199 


195322 


61 


17886.9 


260624 


2920380 


310937 


977493 


185340 


68 


171550 


243469 


2659760 


314.804 


9564.00 


175565 


68 


Z64406 


227023 


2416290 


2X9.491 


9349.30 


166001 


64 


15742.2 


211286 


2189260 


334.314 


9139.70 


156653 


66 


150594 


196227 


1977970 


239.625 


890539 


147523 


66 


14391 I 


X81835 


1781740 


235549 


867577 


138617 


67 


13736.4 


168099 


1599910 


241.654 


8440.22 


129941 


68 


130947 


155004 


1431810 


347.902 


8198. (.6 


12150X 


69 


12465.4 


143539 


1276810 


254770 


7950.66 


113302 


60 


"8475 


130691 


1134270 


26X685 


769589 


1PS35I 


61 


1 1240 8 


1194 1 


100 .^^80 


268.943 


7434-20 


97«>55 


68 


10644 4 


io88c6 


884133 


376.177 


7165.36 


Q0230.8 
830555 


68 


10058.2 


98748.0 
89266.2 


775327 


383.51^ 


688908 


64 

1 


94S1.74 


676579 


390.630 


66^5-17 


76166.4 



National Fraternal Congress Table. 



H5 



. COMMUTATION COLUMNS. 
THREE PER CENT.— CVw/. 



Age. 



M 

66 
67 
68 

69 

70 
71 
7t 
78 
74 

76 
76 
77 
78 
79 

80 
81 
88 
88 
84 

85 
86 
87 
88 
89 

90 
91 
98 
98 
94 

95 
96 
97 
98 



D. 



8914.96 
8357.63 
7809.77 

7i7i.7« 
6743.8! 

6296.71 
5721.03 
5227.98 

4748.14 
4283.49 

383530 

3405M 

3995.39 
2607.36 

2243.26 

1904.92 
1594.01 
1312.08 
1060.15 
838.900 



.1 



8.280 

487.729 
355-926 
250.824 
169.836 



109:787 
67.2800 

38.6913 
20.6700 
10.0651 

440339 

1.69834 
0.56858 

0.16561 



N. 



80351.3 
71993-6 
64183.9 
56912. 1 
50168.9 

43942.2 
38221.2 

32993.9 
6.8 




90127.2 
16791.9 
13726.6 
11119.3 
8876.09 

6971 xo 
5377.05 
4064.97 
3004.82 
2165.92 

1517.64 
1029.91 

673.989 

423.165 

253.329 

143-542 
76.9623 

37.5710 

16.9010 

6.8359 

2.4325 
0.7342 

0.1656 



S. 



587313 
506962 



434968 
370784 
313872 

263703 
21976Z 
181540 
148546 
120300 

96337-3 
76210. z 
59488.9 
45761.6 

34642.3 

25766.3 
18795.2 
13418.2 

9353-22 
6348.40 

4182.48 
2664.84 
1634 93 
960 939 
537-774 

284.44s 
140 903 
64.6402 

27.0602 
10.1682 

3- 
o. 

0.1656 




C. 



397.659 
304.447 
310.586 
3 16. 1 10 
320.670 

324.337 
336.666 

327.333 
326.430 

333458 

318.268 
310.744 
300.696 
288.163 
273.003 

255-381 
235.540 

213-715 

190.374 
166.184 

14Z.668 

117.^98 
94-7360 
73.6829 
551031 

39.3090 
26.6291 
16.8944 
10.0029 
5-36851 

2.57680 
1.08030 
0.38641 
0.16078 



M. 



6314.94 
6017.28 
5712.83 

5403.25 
5086.14 

4765.47 
444X.14 

4114.47 

3787.15 
3460.7a 

3137.26 
2810.00 
3508.25 
2907.56 
1919.39 

1646.39 
1391.01 
1155.47 
941.754 
751.380 

585.196 
443528 
325.930 
231 194 
157.511 

102.408 

63.0992 

36.4701 

19.5757 
9.5738 

43043 
1.627s 

0.5472 
0.1608 



R> 



69560.8 

632459 
57398.6 

51515.8 
46113.6 

41097.5 
36269.0 
31890.9 
37706.4 

239«9.3 

30458.5 
17321.9 
14502.9 
11994.0 
9786.49 

7867.03. 

6920.64 

4899.63 

367416 

3733.41 

1981.03 
IJ95-83 
952.301 
696.371 

395.177 

237.666 
135258 
72.1584 
35.6883 
Z6.1196 

6.5398 
0.1608 



DESPARCIEUX TABLE OF MORTALITY. 

(Former French Standard for Insurances.) 

The Desparcieux Table of Mortality takes its name from 
its author, who published it in 1746 in a volume entitled, 
** Essai sur les probabilities de la vie humaine ' * (An Essay 
on the Probabilities of Human Life). Two tables were in 
fact published, one drawn from the experience of the '* ton- 
tine funds" of 1689, 1696 and 1734, and one from the mor- 
tuary registers of fourteen monasteries covering 8700 male 
lives and twenty-six convents covering 15 19 female lives* 
The latter table, somewhat adapted, became the French 
standard for life insurances, and is known as the Despar- 
cieux Table practically to the exclusion of the other. 

The tables here published are taken from *' Theorie 
Mathematique des Livs Assurances," by Dennoy. The 
columns headed D, and N, are notby our formula. The 
values are progressed to the end of the table at compound 
interest instead of discounted to the age at compound dis- 
count. But they may be used precisely as D, and N, . 
The French symbols are: 

T^ equivalent to D, . 
S^ equivalent to N,+,. 



348 



Desparcieux Tables — French, 



i 


Numbtr 

Liviiv. 


Dyii 


ProUbil- p 


labiilly 
Utlii«. 


1 


Numbe. 
Liring. 


Nuni- 
ber 
D,in,. 


Pmlabil •■"'^ 




1-359 


»67 


.19647 


80353 


49 


599 


g 


.01502 


98498 




1.09a 


49 




04487 


'S^ 




S 


9 




9847s 




I.Q43 


43 




04133 








98279 






30 










57' 






9807+ 




■970 


*a 




00268 


97733 




S60 




.0,964 


98036 




948 


18 




0.899 


98101 




549 




.020C4 


97996 




930 






01613 


9B387 




53B 




.OM31 


97769 




91s 






01431 


98579 




5^ 




.02281 


97719 




s 






01330 1 


9B670 




SI4 






97665 




10 






98876 


n 


50a 




.03590 


97410 




8Bo 


g 




00909 


9909' 


68 


4S9 


13 


.036i;9 ' 


97341 




872 






00688 


993" 




476 13 


■"73' 1 


97*5? 










00693 


99307 




463 13 


.02808 


97191 




860 


6 




00698 


99301 




450 13 


.C0889 ■ 


97111 




854 


6 




00702 


99^98 




437 




.03204 


9679S 




848 






007<« 






4>3 




.03310 


96690 




84a 






00831 


99169 




409 






96577 




83s 






OU838 


9916J 




395 


■5 




96J03 










0OB4S 


99'S5 




3S0 


16 




95789 


u 


8a> 






00853 


99147 


er 


3f4 


■7 


.04670 


95330 


ID 


!a 






009E3 
00993 


99017 
«007 




347 
3*9 


19 


.05.87 
.05775 ■ 


94813 
9W3S 


» 


798 








98998 


■70 


3.0 


19 


.06.29 1 


93871 




790 


e 






98*87 




391 


ao 


.06873 


931=7 




783 






01023 


98077 




271 




.07380 1 


926JO 




774 






01034 


9S966 








.07968; 


92031 


it 


766 








98956 




23' 




.0S658 ' 


9134a 


n 


75a 






O'OJS 


9891s 






19 




9099s 


» 


750 






0.067 


9B933 


78 






.C9396 


e^ 


M 


742 






01078 


9B922 


f1 


'73 


19 


-■0983 


M 


3 






01090 


98910 


Ti 


3 


18 


.1X688 


88313 










98898 




18 


.13155 


86745 


M 


718 








9S8S6 


» 


lis 






85593 


U 


710 








98*73 






.6 




84159 


H 


7™ 








98860 


«1 


85 M 




83539 




694 






01153 


9W47 


B8 




,16901 




« 


686 






OI.66 


& 


II 


S9 




.18664 


ra^^ 


IT 


678 






0103a 


16 


48 




-aoS33 


» 








0IC43 


9B957 


ts 


38 


9 


,23684 


^sl^ 


■8 


664 






01054 


98946 


n 


»9 


7 


.34138 


M 


657 






0106s 


9893s 


u 


32 


6 


■»7»73 


73727 




650 








989J3 


u 


16 










643 










M 






.36.164 






636 








tuij 






3 


■4=857 


5714" 




6ig 






01 113 


St 












6» 


7 






98875 


di 






.50000 


Soooo 


*t 


6'S 


8 






98609 


»t 










n 


607 


S 




0.31S 1 


9S68J 













Desparcieux Tables — French. 



249 



Table II. 

DESPARCIEUX TABLE OF MORTALITY— COMMUTATION TABLES, 

FOUR PER CENT.* 



Age. 


D, 


N. 


Age. 


D. 


N. 





54344-23 


763303.83 


48 


3638.82 


47583-04 


1 


41910.53 


731393.30 


49 


3446.39 


44136-75 


S 


3849034 


683801.96 


60 


3263.30 


40873 •;5 


S 


3548411 


647317.85 


51 


3083-68 


37789.87 


4 


33095-75 


614333.10 


68 


3907.96 


34881.91 


6 


31101.09 


583131.01 


68 


3741.19 


32140.73 


6 


2933707 


553783-94 


64 


3583.95 


29557.77 


7 


2775375 


526030.19 


56 


3438.31 


37139.56 
2484800 


8 


26307.14 


499733.05 


56 


2281.56 


9 


34958.81 


474764.24 


67 


3143.57 


33705.43 


10 


33739.31 


451035 03 


58 


3006.83 


30698.61 


11 


33609.13 


428425.91 


69 


1878.34 


18820.27 


18 


2158995 


406835.96 


60 


1756.77 


17063.50 


18 


30615.74 


386220.22 


61 


1641.77 


15421-73 


14 


1968452 


36653570 


68 


1533.03 


13888.70 


15 


18794.46 


347721.24 


68 


1426.84 


12461.86 


16 


1794373 


3«97975i 


64 


132655 


1113531 


17 


17110.15 


312687.37 


66 


1231.87 


990344 


18 


16314.13 


296373-24 
280819.19 


66 


II3951 


876393 


19 


15554-05 


67 


1049-54 


771439 


80 


14828.31 
14117.86 


265990.88 


68 


902.05 


6752-34 


81 


251873.02 


69 


877.06 


5875.28 


88 


« 3340. 13 


2384^2.89 


70 


70463 


5080.65 


88 


13793.64 


2256.:»9.25 


71 


71723 


436342 


84 


13177.01 


213462.24 


78 


642 25 


3721.17 


85 


11588.87 


201873.37 


78 


571-97 


3149.20 


86 


11027.97 


190845-40 
180352.32 


74 


506.15 


2643.05 
2198.51 


87 


10493.08 


76 


444-54 


88 


9983.01 


17036931 


76 


388.96 


1809.55 


89 


9496.66 


160872.65 


77 


336.99 


1472-56 


80 


9032.95 


151839.70 


78 


288.44 


1184.12 


81 


8590.87 


143248.83 


79 


244-93 


939-19 


88 


8169.41 


135079.42 


80 


20434 


734-85 


88 


7767.69 
7384.78 


127311.72 


81 


168.17 


566.68 


84 


119926.94 


88 


136.09 


430.59 


86 


7019.83 


112907.11 


88 


109-30 


321-29 


86 


667303 


IO623S.08 


84 


8734 


2339s 


87 


6340.59 


99894.19 


86 


68.^2 


165.63 


88 


6033.78 


QI860.7I 


86 


52.01 


113.62 


89 


5741-19 


88119.52 


87 


38.16 


75-46 


40 


5462.18 


82657.34 


88 


2784 


47.62 


41 


S196-13 


77461.21 


89 


19-47 


28.15 


48 


5942.47 


72518.74 
6781809 


90 


1287 


1528 


48 


4700.65 


91 


7.87 


741 


44 


4470.10 


63347.99 


98 


4-33 


308 


45 


4250.34 
4040.88 


59097.65 


98 


2.08 


I.OO 


46 


55056.77 


94 


1.00 


0.00 


47 


383491 


51221.86 


96 


0.00 


0.00 



(* See Introduction.) 



DUVILLARD TABLE OF MORTALITY. 

(Former French Standard for Annuities.) 
The Duvillard Table of Mortality takes its name from its 
author, who published it in 1806 in a work entitled 
** Analyse de Tinfluence de la petite vesole sur la Mor- 
tality*' (Analysis of the influence of smallpox upon the 
mortality). This table was constructed to show the nor- 
mal mortality by way of contrast. It was drawn from 
population statistics embracing 101,542 deaths in a popula- 
tion of 2,920,672. 

The columns headed D, and N, are not by our formula. 
The values are progressed to the end of the table at com- 
pound interest instead of discounted to the age at entry 
at compound discount. But they may be used precisely 
as D, and N» . 

The French symbols are: 

T^ equivalent to D, . 
S^ equivalent to N,^.,. 



252 



DuviLLARD Tables — French. 



Table I. 
DUVILLARD TABLE OF MORTALITY. 



Arc. 


Number LiTinic. 


Number Dyinjc. 


Probabilitr c£ 
Dying. 


ProbabiUtyof 
LiTtng. 




1 


1,000,000 
767.525 
671.834 


232.475 
95.691 


.23248 
.12467 


•76752 
.87533 


t 


47.166 


.07090 




S 


624.668 


25.955 


•04155 


.95845 


4 


598.713 


15.5W 


.02599 


.97401 


6 


583.151 


10,126 


.01736 


.98264 


6 


573.025 


7.187 


.01254 


.98746 


7 


565.838 


5.593 


.99012 


8 


560.24^ 
555.486 


4.759 


.00849 


•99151 


9 


4.364 


.00786 


.99214 


10 


551. 122 


4.234 


.00768 


•99232 


11 


546.888 


4.258 


.00779 


•9922X 


18 


542.630 


4.375 


.00806 


•99194 


IS 


538.255 


4.544 


.00844 


•99156 


14 


533.711 
528.969 


4.742 


.00889 


.99111 


16 


4.949 


.00936 
.C0984 


.99064 


16 


524,020 


5.157 


.99016 


17 

1 


518.863 


5.361 


.01053 
.0x081 


•98967 


18 ! 


513.502 


5.553 


.98919 


1» 


5^7.949 


5.733 


.01129 


.98871 


80 


502,216 


5.889 


.01175 


.98825 


81 


496.317 


6.050 


.01219 


•98781 


88 


490,267 


6.184 


.01262 


.98738 


88 


484.083 


6,306 


.01303 


.98697 


84 


477.77/ 


6.41 1 


.01342 


•98658 


86 


471.366 
464.863 


6.503 


.01380 


.98620 


86 


6.581 


.014x6 


•98584 


87 


458.282 


6.647 


.01450 


•98550 


88 


451.635 


6.703 


.01484 


.98516 


89 


444.932 


6749 


.01517 


•98483 


80 


438.183 
431398 


6.78S 


.01548 


•98452 


81 


6.815 


.01580 


.98420 


88 


424.583 


6.830 
6.858 


.01611 


.98389 


88 


417.744 


.0x642 


.98358 


84 


410,886 


6874 


.01673 


.98327 


86 


404.012 


6.889 


.01705 


•98295 


86 


397.123 


6.904 


.01739 


.98261 


87 


390,219 


6,919 


.01773 


•98227 


88 


383.300 


6.937 


.018x0 


.98190 


89 


376.363 


6.959 


^1849 


•98I5I 


40 


369.404 


6.985 


.01891 


.98109 


" i 


362.419 


7.019 


.01937 
.0x985 


.98063 


48 ! 


355.400 


7.058 


•98015 


48 


348.342 


7.107 


.02040 


.97960 


^ 1 


341.235 


7.163 


.02099 


.97goi 
.97836 


46 ! 


334.072 


7.229 


.02164 


46 1 


326.843 


7.304 


.02235 


•97765 


47 

1 


319.539 


7391 


.02313 
•02398 


.97687 


48 


312,148 


7.486 


.97602 


49 


304.662 


7.592 ! 


.02492 


•97508 


60 


297.070 


7709 


.02595 


•97405 


61 


289.361 


7.834 


02707 


•97293 


68 
68 


281.527 
273.560 


7967 
8,110 


.02830 
•02965 


.97170 


64 


265,450 


8.257 


.03111 



DuviLLARD Tables — French. 



Tablb l.—Cmi. 
DUVII,LARD TABLE OF MORTALITY 



A„ 


Numbtr Llvfng. 


oZt' 


P«b.bili.y of 
Dying. 


PnluhiUtT erf 
tJ.tn(. 


ti 


357.193 


8,4" 


.03170 


■9673" 




a48,7a» 


8,S68 


.03444 


965S6 


n 


240.3 >4 


8.736 


■03633 


■94367 


ti 


=31.488 


8.881 


■03837 


.96,63 


» 


aia.toS 


9.03a 






M 


3.3.567 


9..B7 


.0430a 


:9S698 




=104.380 


9.336 


■04563 


9S437 


M 


195.054 




.04B47 


■9SIS3 


a 






-051S4 


.94846 


«4 


176.03s 




,05487 


■94513 


w 


I«377 


9.^ 


.05B46 


■94154 


M 


156,651 


9.769 


.06236 


-93764 




li6,8a> 
137.10= 


9.780 
9.75s 


-06658 
■07115 


X 




SMI 


9.691 


,07610 


.93390 


TO 


9.586 


.08148 


,9.85. 




108,070 




-08739 


.9117' 




ss 


9.331 


-09361 


.90631 




8,981 


.IWMS 


■899J5 


7* 


B0.43J 


8,678 


■10791 


■89309 




71.745 


8,3=1 


-.1598 


.88402 




63.434 




.13476 


■87534 




S5.S" 


7!4S1 


,13438 


-86573 




48.057 


6.950 


.14463 


■85538 




41,107 


6.40 i 


1.S574 


-84436 


M 


34.70,1 


5 91 J 


.16767 


■83333 




28S86 


S-30T 


.18033 


■«1977 


n 




4.574 




.806B4 


t> 


19.106 


3 93' 


.30593 


■ 79to7 


H 


IS. 175 


3.3B9 


■31674 


.78336 




11.886 




.33383 


■77617 




9.334 


=,059 


,333=1' 


.77678 




7-165 




.3086; 


.79'3S 








■I73S5 


.83645 




4:686 




,18367 


■8,733 


W 


3.830 


737 


■19341 


■80757 


>1 


3.0Qt 


6=7 




.79738 


n 


1,466 


5=>« 




t^ 




1.93S 


43B 


.336.S1 


M 




359 


.33949 


.76050 


» 


l!l40 




-35351 


■74649 


M 


8« 




37145 


■73855 




fell 




.387.0 


7,393 


M 




13s 


30545 


-694S5 


M 


307 




■33573 


.674^7 


IN 






■34783 


.6S3r7 


IDl 


13s 


5' 


■37778 


633 J3 


lU 


ii 


33 


.39386 




IN 


5" 


33 


-43137 


56863 


IM 




13 


.44838 


55173 


lU 




8 


-SODOO 




IM 






.50000 










,50000 


-50000 


IW 




' 


' 





254 



DuviLLARD Tables —French. 



Table H. 



DUVILLARD TABLE OF MORTALITY— COMMUTATION TABLES- 






FOUR PER CENT.» 




Arc. 


D. 


N. 


Arc. 


D. 


N. 




1 


71,884.311 
S3.050.96a 
44,650,806 


835.173.161 
782.122,197 


66 
67 


1,088.776 
1,846.426 


18.772,299 
16.925,873 


t 


737.471.391 


68 


1.710,9x6 


IS.214.957 


s 


39.919.330 


697.552,061 


69 


1.581.983 
1.459.378 
1.342.885 


13.632,974 
12.x73.596 


4 


36.789.119 


660.762,942 


60 


6 


34.454.706 


626.308,236 


61 


io.830.711 


6 


3a.554.a39 


593.753.997 


68 


1.232,316 


9.598.395 


7 


30.909.560 


562.844,437 
533.417.484 


68 


1,127.487 


8.470,908 


8 


29.426.953 
28.054,793 


64 


1.028.252 


7.442 656 


9 


505.362.691 


66 


934.459 


6.508.197 


10 


26.763,840 


478.598.851 


66 


845.993 


5.662,204 


11 


25.536,753 


453,062,098 


67 


762,727 


4.899.477 


18 


24.363.393 


428.698,705 


68 


684.559 


4.214.919 


18 


23.237.459 


405,461,246 


69 


611,396 


3.603.523 


14 


22,155,082 


383.306.164 


70 


543.143 


3.060.380 


lb 


21,113,694 


362,192,470 


71 


479.703 


2.580,677 


16 


20.111,685 


342,080.785 


78 


420,992 


2,159.686 


17 


19.147.850 


322.932.935 


78 


366.908 


1.792.778 


18 


18.221.159 


304,711.776 


74 


317.357 


1.475.421 


19 


17.330,880 


287,380.896 


76 


272.223 


X.203.198 


80 


16.476,231 


270,904.665 


76 


231.395 


971.803 


81 


15,656.442 


255.248.223 


77 


194.736 


777.067 


88 


14.870,764 
14,118,448 


240.377.459 


78 


X62.IOI 


614.966 


88 


226.259.01 X 


79 


133.326 
IM.233 


48X.640 


84 


13.398.592 


212,860.419 


80 


373.407 


86 


12,710,389 


200.150.030 


81 


86.621 


286.786 


86 


12,052.917 


188.097,113 


88 


68.278 


218.508 


87 


11.425.276 


176,671.837 


88 


52.971 


165.537 


88 


10.826.503 


165.845.337 


84 


40.454 


125.083 


89 


10.255.596 


155.589.741 


86 


30.467 


94.616 


80 


9.711.571 


145.878.170 


86 


22.735 
16.980 


71.881 


81 


9.193.452 


136.684.718 


87 


54.901 


88 


8.700.212 


127.984.506 


88 


12.921 


41.980 


88 


8.230.840 


119.753.666 


89 


10.268 


3».7i2 


84 


7.784.341 


111.969.325 


90 


8.069 


23.643 


86 


7.359.723 


104,609.602 


91 


6.266 


17.377 


86 


6,955.989 


97.653.613 


98 


4.804 


12.573 


87 


6.572.170 


91.081,443 


98 


3.630 


8,943 


88 


6,207.361 


84,874,082 


94 


2.700 


6.243 


89 


5.860.582 


79,013.500 


96 


1.974 


4.269 


40 


5.530,980 


73.482.520 
68.264.833 


96 


1. 41 7 


2.852 


41 


5.217,687 


97 


993 


1.859 


48 


4.919,843 


63.344.990 


98 


6do 


1.179 


48 


4,636.670 


58.708.320 


99 


454 


725 


44 


4.367.377 


54.340.943 


100 


295 


430 


46 


4,111,250 


50.229.693 


101 


185 


245 


46 


3.867.582 


46.362. Ill 


108 


110 


135 


47 


3.63S.724 


42.726.387 


108 


65 


70 


48 


3,415.028 


39.3". 359 


104 


35 


35 


49 


3,204.931 


36,106,428 


106 


19 


x6 


60 


3,004.870 


33.101.558 


106 


9 


7 


61 


2,814,321 


30.287,237 


107 


4 


3 


68 


2.632.816 


27,654.421 


108 


2 


I 


68 


2.459.912 


25.194.509 


109 


I 





64 


2.295.178 


22.899.331 


110 





) 


66 


2.138.256 


20.761,075 









* See Introduction. 



SCANDINAVIAN COMPANIES' TABLES. 

INTRODUCTION. 

These tables were published in 1904 by the Scandinavian 
Life Insurance Companies' Congress. Thcfy were con- 
structed by a committee from the experience of the com- 
panies on male and female lives, separately. The gradu- 
ation was by the principle of moments, Makeham's first 
law being assumed. Only lives which were accepted as 
first-dass were considered. 

The number of lives was 181,533, and the number of 
•deaths 12,437. 



256 Scandinavian Experience Mortality Table. 



SCANDINAVIAN COMPANIES' EXPERIENCE MORTALITY TABLE 

(1904) MALES. 



Age. 


Number 
Living. 


Number 
Dyins. 


Proba- 
bility of 
Living* 


Proba- 
bility of 
Dying. 


Age 
61 


Number 
Living. 


Number 
Dying. 


Proba- 
biUty of 
Living. 


Proba- 
bility of 
Dying. 


80 


100,000 


428 


.99572 


.00428 


66,925 


2.00I 


.97OTO 


.00990 


21 


99.572 


425 


.99573 " 


•00427 


68 


64.924 


2.104 


.96760 


.03240 


8? 


99.147 


422 


•99575 


.90425 


68 


62.820 


2.207 


.96487 


.03513 


2) 


98.725 


420 


.99575 


.00425 


64 


60.613 


2.309 


.96190 


.03810 


21 


98.305 


418 


.99575 


.00425 


66 


58.304 


2.410 


.95867 


.04133 


25 


97.887 


417 


.99574 


.00426 


66 


55894 
53.388 


2.506 


.95516 


.04484 


23 


97.470 


417 


.99572 


.00428 


67 


2.598 


.95134 


.048-16 


87 


97.o;3 


419 


.99568 


.00432 


68 


50.79 ^ 


2.682 


.94719 


.05281 


28 


96.634 


423 


.99561 


•00437 


69 


48.108 


2.758 


.94268 


.05732 


89 


96.211 


427 


.99556 


.00444 


70 


45.350 


282a 


.93778 


.06222 


SO 


95.784 


434 


.99547 


•a>453 


71 


42.^28 


2.871 


.93248 


.06752 


81 


95.35^ 


442 


.99536 


.00464 


78 


39.657 


2,906 


.92673 


.07327 


88 


94.908 


453 


.99523 


.00477 


78 


36.751 


2,922 


.92050 


.07950 


83 


94.455 


465 


.99508 


.00492 


74 


33.829 


2,917 


.91377 


.08623 


84 


93.990 


479 


.99490 


.00510 


76 


30,912 


2,891 


.90649 


.09351 


86 


93.5" 


495 


.99471 


.00529 


76 


28.021 


2,840 
2.766 


.89863 


.10137 


86 


93.016 


5H 


•99448 


.00552 


77 


25.181 


.89015 


.10935 


87 


92.502 


558 


.99422 


.00578 


78 


22.415 


2667 


.88103 


.11897 


88 


91.967 


•99393 


.00607 


79 


19.748 


2.543 


.87121 


.12879 


39 


91.409 


584 


•99361 


.00639 


80 


17.205 


2.397 


.86066 


•13934 


40 


90.825 


612 


.99326 


.00674 


81 


14.808 


2.231 


•84934 


.1506^ 


41 


90 213 


643 
678 


.99287 


.00713 


88 


12.577 


2.047 


.83722 


.16278 


42 


8Q.570 


.99244 


.00756 


83 


10.530 


1.851 


.82425 


.17575 


43 


88.892 


715 


.99196 


.00804 


84 


8.679 


1.646 


.81040 


.i89'x> 


44 


88.177 


755 


.99144 


.00856 


86 


7.033 


1.437 


•79565 


.20435 


45 


87.422 


798 


.99087 


.00913 


86 


5.596 


1.231 


.7899s 


.22005 


46 


86.624 


845 


.99025 


•00975 


87 


4.365 


i.o?3 


.76328 


.23672 


47 


85.779 


895 


•98957 


roio43 


88 


3.332 


848 


•74562 


.25438 


48 


84.884 


948 


.98883 


.91117 


89 


2.484 


678 


•72695 


.27305 


49 


83.936 


x,ou6 


.98802 


.0x198 


90 


1.806 


529 


.70727 


•29273 


59 


82,930 


1.067 


•98713 


.01287 


91 


1.277 


400 


.68657 


.31343 


51 


81.863 


1. 133 


.98616 


.01384 


98 


877 


294 


.66486 


•33514 


52 


80.730 


1.202 


.985" 


.0148^ 


98 


583 


209 


.64215 


•35785 


53 


79.528 


1.276 


•98396 


.01604 


94 


374 


M3 


.61818 


.38152 


54 


78.252 


1.354 


.98270 


.01/33 


96 


231 


94 


59388 


.406x2 


53 


76.898 


1.436 


.98133 


.01867 


96 


137 


52 


.56840 


.43160 


56 


75.462 


1. 52 1 


.97984 


.02016 


97 


78 


36 


.54212 


•45788 


67 


73.941 


1,611 


.97821 


.02179 


98 


42 


20 


.515" 


.48488 


58 


7233^ 


1.704 


•97644 


.02356 


99 


22 


II 


.48749 


•51251 


59 


70,626 


1,801 


•97450 


.02550 


100 


II 


6 


•45936 


•54064 


60 


68.825 


1,903 


•97240 


.02760 













Scandinavian Experience Mortality Table. 257 



SCANDINAVIAN COMPANIES* EXPERIENCE MORTALITY TABLE. 

(1904) FEMALES. 



Age. 



20 
81 
S8 

28 
24 

26 
26 
27 
28 
29 

80 
31 
82 
83 
84 

85 
86 
87 
88 
89 

40 
41 
42 
43 
44 

45 

46 
47 
48 
49 

50 
51 
52 
63 
54 

55 
56 
57 
58 
59 
60 



Number 
Living. 



100,000 

99.529 
99.058 

98.585 
98,109 

97,628 
97.141 
96.646 

96.142 
95,628 

95.102 

94.564 
94,014 

93.450 
92.872 

92 280 
9^675 
91.057 
90.426 
89.782 

89.126 
88.458 

87.779 
87089 

86.388 

85.675 
8*950 
84.212 

83.459 
82.689 

81,899 
8C.087 
80.248 

79-377 
78,469 

77.517 
76.515 
75.456 
74.332 
73- 134 
71.854 



Number unw^*:. 

^y'^-^' i uvYng! 



471 
471 

473 
476 j 

481 ; 

487 

495 

504 

514 
526 

538 
550 
564 
578 
592 

605 
618 
631 
644 
656 

668 
679 
6v>o 
701 

713 

725 
738 

753 
770 

71/5 

812 

839 
871 
908 
952 

1,002 

1.059 
1. 124 

1. 198 
1.280 

1. 371 



•99529 
•99527 
•99523 
•99517 
•99510 

.99501 
.99490 
•99478 
•99465 
•99450 

•99434 
.99418 
.99400 
.99382 

•99363 

•99344 
•9^^326 

•9<>307 
.99288 
.99269 

.99251 
•99232 

•99i<>5 
•99175 

•99154 

.99131 
.09106 

.9(/o78 
•99045 

.99008 
.98965 
.98914 
.08856 
.98737 

.98708 
.98616 
.98510 
.98388 
.98250 
.98092 



Proba- 

bility of 

Dying. 



00471 
00473 
00477 
00483 
00490 

00499 
00510 

C0522 

00535 
00550 

00566 
00582 

OCXXD 
00618 
00637 

00656 

00*^74 
00^)93 
00712 
00731 

00749 
007^8 
00786 
00805 
00825 

00846 
00861; 
00894 

00<;)22 

00955 
00992 

0103s 

01086 
01 144 
OI2I3 

01292 
01384 
01490 
OI6I2 
01750 
01908 



Age 



61 
62 
68 
64 
65 

66 
67 
68 
69 
70 

71 
72 
78 
74 
76 

76 
77 
78 
79 
80 

81 
82 
83 
84 
85 

86 
87 
88 
89 
<iO 

91 
92 
93 
94 
95 

96 
97 
98 
99 
100 



Number 
Living. 



70.483 
69.013 

67.435 

65.743 
63,930 

61,990 
59.921 
57.7.21 
55.391 
52.934 

50.358 
47.672 
44.890 
42,028 

39.105 

36.144 
33.169 
30.207 
27,286 
24.434 

21.677 
19.042 

16.553 
14.229 

12.088 

10.140 

8.393 
6,850 

5.507 
4.357 

3 300 

2o'/5 
1.942 
1.426 
1,025 

720 

493 
329 
214 
135 



Number 
Dy.ng. 



1.470 
1.578 
1.692 
1. 813 
1,940 

2,c69 
2,200 

2.330 

2.457 
2.576 

2686 
2.782 
2.862 
2 923 
2.961 

2.975 
2.962 

2.921 

2.852 

2.757 

2.635 
2.489 

2.324 
2. 141 

1,948 

1.747 

1.543 

1.343 
1. 150 

967 

800 
648 

516 
401 

305 

227 
i6t' 

115 
79 
53 



Proba- 
bility of 
Living. 



•97914 
•97714 
•97491 
•97242 
.96966 

.96662 
.96328 
•95963 
•95565 
•95133 

94667 
.94164 
.Q3624 

•9304s 
.9^428 

•91770 
.91071 

•90330 
.89546 
.88718 

.87845 
.80927 

.85962 

■84950 

.83888 

.82776 
.81613 
.80396 
.79124 
77796 

.76410 

•749' '3 

•73454 
.71882 

.70243 

.68537 
.66762 

.64917 

.63001 

.61013 



Proba- 
bility of 
Dying. 



02086 
02286 
0250Q 
02758 
03034 

03338 
03072 
04037 

04435 
04867 

05333 
05836 
06376 
06955 
07572 

08230 
08029 
09670 

10454 
1 1282 

12155 
13073 
14038 
15050 
161 12 

17224 
18387 
19604 
20876 
22204 

23500 

25037 
26^46 
281 18 

29757 

31463 
33238 
35083 

36999 
38987 



Australian Experience Table. 



—^ 








~v^,b." 


^~ 







P.Db- 


Prab. 


^K& 


LiTi»|. 


DyLig, 








Uvine. Dyi^K. 


ak Jhy of 


=.Lil..y J 








'ojing"' 


Living. 








i»)-i"K. 


Living. 


~7 


100 ooo 


2,843 


.028420 


■971580 


"(T 


73.!*!' 


831 


.011500 


.9885CIC. 




97'i53 


2,249 


.011148 


•97t>?5i 




71.431 


B63 


.013^ 


.08;g,8 




04.909 


l.73> 


.018249 


-9B17.-1 






885 


■012541 


-1*874^9 


3 


93-'77 


1.21,1 


■013855 


.980145 






905 


.0.2987 


■9*7013 




91,886 


939 




.989^.^ 






934 


.013580 


.9!(i,» 




90957 


641 


.007047 


-99=953 




67'S44 ' 


969 




-9 '3719 




90,316 


432 


.OO47B3 






66875 1 I 


013 


!oisi48 


■•,8485; 




89.83+ 


399 


■0033=7 


^99»r3 




63862 I 


064 


■016155 


-9838^5 




89.58; 


»43 


,00^713 


■997=87 


M 


64.79S 1 


125 


.01736* 


.98^8 




89.34!' 


305 


.DO2;05 


■09770; 




fa'^P ' 


186 


01B016 


■^'374 


10 


89,137 




.002.32 


.997868 






246 


•019WO 


.980060 


11 


aa,947 


■0, 


.0017™ 


.99a»I 




Si;a4i I 


3'5 




.978537 




88,787 


iSi 


.00J039 


.997.y6l 




59.9^ 1 


397 


.023311 


.976688 




8S.606 




.002230 






58.5^ I 


5=^ 


.016073 


.973027 


" 


88,404 


33a 


.UH624 


.997376 


04 


57.003 1 


674 


.039367 


■970633 


u 


88171 


260 


.002949 


■99?oSl 


Oi 


55.339 ' 1 


848 


■033400 


966600 




B7.9.1 




.003310 


.996690 


60 


53.481 . . 


991 


.037228 


■962773 


n 


87,63. 


296 


.003378 


.9966*. 


07 


51.490 a 


.69 


.041135 


■957B73 


19 


B7.3'5 




.003,31 


-996519 


08 


49,32. a 


303 


.044667 


■955333 




87021 


304 




.996507 




47.118 3 


339 


■0-17307 


■9S"93 


to 


86,717 




■003483 


.99^17 




44.889 3 


■^7 


.050057 


'949943 




B6,4TS 






.996598 




42,6,2 a 


276 


-053375 


.W663S 


« 


96,131 


2S6 


.003437 


.996S63 




40,366 J 




.t5304O 


■9^6gU 




ss.a^s 


2y7 


0034^1 


-956539 


IS 


38.335 3 




.057816 


■94=184 


M 


85.5=8 


197 


■OOM73 


,996537 


74 


36,015 2 


'^i 


.063140 


■936S60 


ts 


85.331 


30= 


"■3S.I3 


.996457 




33.741 1 3 


33B 


.060329 


-933671 


te 


84.939 


3" 


.on.1674 


.996336 




31.503 3 


373 


.07315a 


OJ7B48 


n 


84.6.7 


32s 


.003H41 


.99''159 


77 


39.330 3 


553 


■087343 


■91=658 




B«,29= 


33= 




,99606. 






673 


.I<ni6i 


.»99a39 


29 


83.960 


3;> 


.D041S1 


,99S8'9 


T» 


24,005 a 




■ 1M310 


.885^ 


30 


83.6a. 


369 


.0044.3 


.^95587 


80 


3[.>6l 3 


898 


.136396 


.86369, 






3'(a 


.o.47oy 


.9*531,. 




18,363 3 


905 


■15B199 


.841S0. 


3i 


82,848 


407 


■00+913 


-9950S7 


» 


15.458 3 




.172209 


■837791 


a» 


82.441 




.005353 


■9'^748 


la 


12,796 2 


396 


.1872,6 


.81=754 




82,008 


450 


.005.187 


■W513 


04 


10,400 3 




.30»98i 


■T^Tof) 




B...S5B 


463 


.005077 ! 




M 


B.2S9 I 


759 


.212209 






81,095 


473 


.Oj;S33 


'994167 


to 


6.530 1 


^i'^ 


■3 '9755 


-73^5 






491 




.993'"o 




5.095 » 


18a 


:gSS 


.76Sooa 




t^i, 


503 




■993733 




3.913 


9fiS 


■7533S6 


!9 


79.6=8 


537 




-99338!' 


to 


3,948 


775 


.362890 


■737110 


40 


7V.'ni 


555 


.007016 1 


.99=984 




= .173 


615 


,2830.9 


.7<69Bl 




78.54* 


537 


.007473 


■99^537 


SI 


I.55S 


487 


.313580 


.687420 




77.959 


6.7 


■ao79".( . 


.993086 


St 




37a 


■353941 


.6+7059 




77.34a 


648 


.008378 


.991621 




'■^3 




.406936 


■593074 


« 


76,694 


675 




.991199 


94 




■99 


.48418S 


-515815 


4a 


76,019 


699 


.DOqIrjS 


■990805 


S( 


313 


139 


.608491 


.39'5'9 




75.320 


7" 


.009^S6 


■99^14 




83 


73 


.867470 


■133530 


4T 


74.^8 


751 


.010^67 


-9890.13 












48 


71.84' 


771 


-O.OS.O 


.089151 


SI 












73.0M 


806 


.011031 


.OSigi* 













Canada Life Experience Table. 



26r 











Table I. 










CANADA LIFK ASSURANCE COMPANY'S EXPERIENCE TABLE. 


Age. 


Number 
Living. 


Num- 
ber 
Dying. 


Prob- 
ability of 

Living. 

1 


Prob- 
ability of 
Dying. 


Age. 

63 
64 
65 
66 
67 


Number 
Living. 


Num- 
ber 
Dying. 


Prob- 
ability of 
Living. 


Prob- 
ability of 
Dying. 


80 
81 
88 
83 
84 


lOO.OCX) 

99.537 

99.073 
Q8.607 

98.138 


463 
464 
466 
469 

471 


•995373 

! -995335 

•995294 
.995248 

•995197 


.004627 
.00466s 
.004706 
.004/52 
.004803 


65.650 
63.770 
61,787 
59.698 
57.500 


1.880 

1.983 
2.089 

2.198 

2.306 


•971374 
.968001 

.966181 

.963189 

.959901 


.028626 
.031099 
.033819 
.036811 
.040099 


85 
86 
87 
88 
89 


97.667 
97.192 
96.714 
96.232 

95.745 


475 
478 
482 
487 

493 


995142 
1 .995080 

; 995013 
•994938 
.994856 


.0048^8 
.004920 
.004987 
.005062 
.005144 


68 
69 
70 
71 
78 


55.194 
52.782 
50.265 
47.649 
44.942 


2,412 

2.517 
2.616 

1 2 707 

2,790 


.956287 
•952318 

.947959 
.943175 
.937926 


.043713 
.047682 

.052041 

.056825 

.062074 


80 
31 
88 
83 
34 


95.25a 

94.753 
94.248 

93.735 
93.213 


499 
505 

513 
522 

532 


•994765 
.994665 

•994555 

994433 
.994298 


•005235 
•005335 

.00544 T 
.005567 
.005702 


78 
74 
76 
76 
77 


42.152 

39.293 
36.380 

33.432 
30.470 


2.859 
2.913 

2.948 

2.962 

2.952 


.932172 
.925866 
.918959 
.911402 
.903140 


.067828 

.074134 
.081041 

.088598 

.096860 


85 
36 
37 
88 
39 


92,681 

92.139 

91.585 
91.018 

90.436 


542 
554 
567 
582 

597 


.994150 

•993987 
.993807 
.993609 

•993390 


.005850 
.006013 
.006193 
.006391 
.006610 


78 
79 
80 
81 
88 


27.518 
24.605 

21.757 
19,005 

16,380 


2.913 
2.848 

2, 75^2 
2.625 

2,472 


.894115 
.884266 

.873529 
.861839 

.849127 


.105885 

.115734 
.126471 
.138161 

•150873 


40 
41 
48 

43 ' 
44 


89.839 
89.223 
88.588 

87.931 
87.251 


616 
635 

657 
680 
706 


.993148 
.992882 

.992 -.90 
.992265 
.991909 


.006852 
.007118 
.007410 
•007735 
.008091 


83 

84 
86 
86 
87 


13.908 
11,618 

9531 
7,604 

6,030 


2.290 
2.087 
1.867 

1.634 
1.400 


.835324 
.820362 

.804170 

.786682 

.767835 


.164676 
.179638 
•195830 
.213318 
.232165 


46 

46 
47 
48 
49 


86.545 
85.811 

85.046 
84.247 
83.4" 


734 
765 

799 
836 
876 


.991516 
.991082 
.990604 
.990078 
.989497 


.008484 
.008918 
.009396 
.009922 
.010503 


88 
89 
90 
91 
98 


4.630 
3.461 
2,512 

1.765 
1. 196 


1. 169 
949 

569 
416 


•747573 

.725845 
.702613 

.677852 

•651554 


.252427 
.274155 
.297387 
.322148 
.348446 


60 
61 

68 : 
58 
54 


82.535 
81.615 

80.648 

79.630 

78556 


920 

967 
1,018 

1.074 
1. 133 


.988857 
.988151 

•987374 
.986518 

•985574 


.011143 
.OII84Q 
.012626 
.013482 
.014426 


93 
94 
96 
96 
97 


780 
486 
289 
163 

87 


294 

197 

126 

76 

44 


.623731 
.594421 
.563690 
.531635 
•498392 


.376269 

•405579 
.436310 

.468 ^65 

.501608 


55 
56 1 

58 , 
59 


77.423 
76.225 

74.959 

73.619 
72,201 


1.198 
1.266 

1.340 
1.418 

1. 501 


•984534 
.983388 

.982126 

.980736 

.979208 


.015466 
.016612 
.017874 
.019264 
.020792 


98 

99 

100 

101 

108 


43 
20 

8 

3 

I 


23 
12 

5 

2 

I 


.464134 
.429075 

•393471 
.357620 
.000000 


.535866 
.570025 
.606529 
.642380 
i.C^nooo 


60 
61 
68 


70,700 
69.110 
67,428 


1.590 
1.682 

1.778 


.977520 

•975664 
.973622 


.022480 
.024336 
.026378 








' 





262 



Canada Life. 



SELECT. 



Age 

X 



SO 
tl 
t2 
2S 
ti 

t5 

te 

27 
28 

29 

to 

81 
88 
88 
84 

86 

86 

87 
88 
89 

40 
41 
48 
48 
44 

46 

46 
47 
48 
49 

60 
61 
68 
63 
64 

66 
66 
67 
68 

69 

60 
61 




103679 
1030^1 
102385 
IOI741 
10x101 

100463 
99828 

98560 
97928 

97298 
96665 
96033 

95395 
94753 

9410S 
93448 
92779 
92097 
91401 

90690 
89962 
89212 
88436 
87633 

86802 
85910 

85043 
84106 

83125 
82094 



l[«-l] *! 



103433 
103786 

102 139 

IOI494 

100853 
I002I2 

99574 

98934 
98297 

97661 
97024 
96386 

95747 
95102 

94453 
93796 
93130 

92452 
91761 

91056 

90335 
89596 
88835 
88048 

87234 
86391 

85489 
84603 
83659 

82667 
81626 



lU-,]-^, ![.-.]+. 



10304 I 
103392 

IOI745 

101099 

100456 

99814 

99173 
98532 

97891 

97251 
96609 

95966 

95322 

94672 
94017 

93354 
92681 

91996 

91297 
90584 

89854 
89105 

88335 

87537 
86711 

85855 

84943 
84044 

83080 
83071 
81013 



103533 
101883 

101236 
100590 

99947 

99304 
98662 

98018 

97375 
96732 
96086 

95440 

94791 

94137 

93475 
92806 

92124 

91431 
90732 

89998 
89256 

88493 

87707 
86893 
86051 

85175 
84246 

83318 
82328 
81391 
80304 



lU-4] + 4 



IOI946 

IOI396 
100650 
100005 

99361 
98718 

98074 
97430 
96785 
96139 
95491 

94840 
94187 

93527 
92857 
93178 

91487 
90781 
90060 
89320 
88561 

87779 

86972 
86134 
85266 

84363 

8341 1 
82440 
81413 
80336 

79205 



1>(») 



IOI3I4 
IOOO66 
IOO03I 

99377 
98733 

98089 

97445 
96800 

96153 
95505 

94855 
94300 

93540 
93871 
93193 

91503 

90797 
90076 

89337 
88579 

87798 
86991 
86156 
85289 
84388 

83450 
82470 
81445 
80371 
79242 

78055 
76305 

75487 
74096 
73626 

71074 
69435 



Ag« 

z 



68 
€8 

64 
66 

66 

67 
68 
66 

70 

71 

72 
78 
74 
76 
76 

77 
78 
79 
80 
81 

82 
88 

84 
86 

86 

87 
88 
89 

90 
91 

92 
93 
94 
96 
96 

97 

98 

99 

100 

101 

108 



1«(«) 



67704 
65880 

63957 
61935 
59811 

57583 
55251 
52817 
50285 

47658 

44945 
42152 

39293 
36380 

33432 

30470 
37518 
34605 
21757 
19005 

Z6380 
13908 
116x8 

9531 
7664 

6030 
4630 
3461 
2512 

1765 

1196 
780 
486 
289 
X63 

87 

43 
20 

8 

3 



Canada Life 

SELECT. 



Ag.. 


dCl 


.1.-,,., 


dl.-,l *, 


<il.-.l t. 


•1U-.I *. 


d, (,)- 


Age 


-. 


IT 




3V 










» 


MiS 




H6 


394 


508 










1.391 




347 


394 


509 


"5B7 








1,470 




248 


395 


509 


5B7 


63^ 




» 


1.551 




2S1 


397 


509 


586 


630 


'm 


SO 


1.639 


«S 35* 


398 




S85 


6a9 


645 


ei 


1.731 


ri 1 3S9 


401 




586 


6aS 


6u 




I.8a4 


11 a63 


403 




5S6 


friB 


644 




■ ,933 


» 1 367 


406 


5H 


SBS 


6>9 


644 


84 




10 


37* 


410 


S16 


SB8 


fa9 


644 


86 


■:a 






41s 


S19 


590 


630 


645 


66 


u 


aB6 


4» 


Sas 


593 




647 




3,33a 


u 


"93 


435 


SaS 


595 




648 




3.434 




300 


430 








650 




3,53" 




3°t 


436 


535 


604 


640 


iy 




a.6»7 


u 


318 




54* 




647 




a.7i3 




3"7 




548 






669 




a. 793 




336 


•tS6 


S57 






675 




>.8W 


w 


MS 


464 


565 


637 


676 


690 


74 


3,913 


40 


355 


47J 


575 


650 


690 


7°S 


71 


3,94a 




366 


4B1 


586 


66a 


705 






3,963 




377 




598 


67S 


7*3 






1,953 




388 






69.; 








= 913 




3W 






7 '4 


763 






=,848 






S»3 


^44 


735 


7SS 






3,753 




421 


536 




759 


8l5 


835 


■ 1 


1,635 




435 


546 




78s 


B45 


S67 


11 






447 


564 


697 


8ia 


378 






i:i 


*» 


«B 


579 


736 


83s 


9'3 


93S 


'4 


(0 


468 


596 


7S* 


878 


941 


980 


It 


1,867 


tl 




fii3 


780 
Bog 


9"S 
955 


995 
i,04J 


,025 

1.074 


" 


1,634 
1,400 


H 








999 


1.094 

1,150 


IS 


U 

91 

1« 
101 


1..69 

5*9 
416 
*9* 
197 
i>6 
76 
44 



Canada Life. 

SRLECT. 



Aic 


P&] 'p 


-,!♦, Pi 


-.U.P 


-J*,P 


-.1-. 


P.!.) 


Ant. 


P. 


IS 


99763 












fS 


.98398 


■1 


99763 


96&.i 










it 


983II4 


u 


99760 


99617 


99507 










98157 


H 




99614 


99503 


99437 








98017 




997S4 


996.1 


99500 


994^ 


993»o 






97863 




9975" 


99607 




99431 


9937B 


■99361 


M 


97693 


H 


99745 


99603 


99493 


994>8 


99375 


■99359 




9750B 


IT 


99739 


99S98 


99489 


99414 




■99356 


fli 


9730s 


■I 


99733 


99S93 


99484 


99410 


9^68 


■9935= 


n 


97082 


M 


997=7 


99587 


99479 


9940s 


99363 


.99348 


84 


96B3B 


H 


99719 


99S«o 


99473 


99400 


99358 


■99343 


et 


96570 








99466 


99394 


99353 


■9933S 


88 


96275 






99564 
99556 


99459 


993B7 


99347 


■99333 


•7 






99693 


9945» 


993B0 


99341 


■99336 


n 


9SS95 




996S3 


99548 


99443 


9937> 


99334 


■993"9 


w 


9530i 


» 


99S72 


99539 


99434 


99363 


993=5 


.99310 




947-7 


M 


90to 


995»9 


99433 


993Sa 


99313 


■99399 


71 


94306 


17 


906.8 


99S'8 


9941a 






■9928S 


78 


93787 


It 


9963s 




99399 


993*4 


^ 


.99269 




933 '6 


» 


996x1 


9949S 


993BS 


9930* 


•99351 


H 


93587 


40 


w6oS 


99481 


99370 


99S90 


99346 


■99230 


7i 


9,896 




99S93 


99468 


99353 


99270 


99223 

99198 


■99306 




91 HO 




99577 


994S3 


99334 


99147 


,99.80 






41 


99501 


99437 


993'3 


993M 


99170 


■99151 






44 


99S44 


99420 


99390 


99 "93 


99138 


.99118 


79 




U 


99537 


9iHO' 


9936S 


99161 


9910a 


-99081 


W 


B7353 


41 


99S08 


»386 


99!-38 


99126 


»o62 


.99040 




66184 




99489 






99088 




-9BgfM 




14913 




9»»69 


99333 


»>30 


99046 


98971 


.08944 






4f 


99449 


99307 


98999 


989.8 


.98888 


84 


11^3^ 


H 


gwa? 


99379 


99095 


« 


98859 


,98826 


U 


80417 


11 




99=50 


99050 


98793 


■98757 


S« 


7866S 


a 






99001 


98Bi.; 


9S7«> 


.98681 


»T 


76783 










98754 


98639 
98549 


■ 9B596 
■98502 


18 
» 

» 

M 
94 
Si 

M 

100 

108 


65155 
62373 
5944= 

56369 
S3'63 

Si 

39347 

35J62 



Canada Life. 



265 



SELECT. 



Age 

X 



to 

SI 

ts 
ss 

t4 

Si 

S6 
S7 
S8 

ta 

so 

SI 

ss 
ss 

S4 

S5 
SO 

S7 
SS 
S9 

40 
41 
4S 
U 
44 

4S 
46 

47 
4S 
49 

SO 
SI 

ss 
ss 

ft4 

16 
S6 
S7 
SS 
19 

SO 
61 



qM 



00237 
00238 
00340 
00243 
00246 

00250 

002SS 

00261 
00267 
00273 

00281 
00289 
00298 

00307 
00317 

00328 
00340 
00352 

<»36S 
00378 

00392 
00407 
00423 

00439 
00456 

00473 
00492 

00511 

00531 

00551 

00573 



qU-il*! 



00379 
00383 
00386 
00389 

00393 

00397 
00402 

00407 

00413 

00420 
C0428 
00436 
00444 
00452 

00461 
00471 
00482 
00493 
00505 

00518 
00532 

00547 
00563 

00580 

00599 
00620 
006AS 
00667 
00693 

0072X 
00750 



q[i-«l*! 



00493 
00497 
00500 

00503 
00507 
0051 1 
005x6 
00521 

00527 

00534 
00541 

00548 
00557 

00566 
00577 
00588 
0060X 
00615 

00630 
00647 
00666 
00687 
00710 

00735 
00762 

00793 

00827 

00864 

00905 
00950 
00999 



qU-il ♦• 



00573 
00576 

00579 
00582 
00586 
00590 

00595 

00600 

00606 
00613 
00620 
00628 

00637 
00648 
00661 
00676 
00692 

00710 
00730 

00753 
00778 

00807 

00839 
00874 
00912 

00954 

OIOOI 

01053 

OIIXX 

01x75 

01246 



q[.-4l*4 



0062 



00622 
00625 
00628 
00632 
00637 

00642 
00647 
00653 
00659 

oo6b6 

00675 
00687 
0070X 
007x6 

00734 

00754 

00777 

00802 
00830 
00862 

00898 
00918 
00981 
0x029 
01082 

01x41 
0x207 
0x280 
01361 
0x451 



q.(*) 



.00639 
.00641 
.00644 
.00648 
•0065a 

.00657 
.00662 
.00668 
.00674 

:oo68i 

.00690 

.00701 
.007x5 
.00731 
.00749 

.00770 
.00794 
.00820 
.00849 
.00882 

•00919 
.00960 
.OZ006 
.0x056 
.OXX12 

.01174 
.0x243 
.0x319 
.0x404 
.01498 

.01602 
.0x716 
.0x843 
.01983 
.02137 

.02307 
.02492 



Afc 

X 



6S 
6S 
64 
6S 
66 

67 
66 
69 
70 
71 

7S 
7S 
74 
76 
76 

77 
76 
79 
SO 
61 

6S 
SS 
64 
66 
66 

67 
66 
69 

90 
91 

9S 
96 
94 

96 
96 

97 
96 

99 
100 
101 

lOS 



qtU) 



.02695 
.02918 
.03162 

•03430 
.03725 

.04049 
.04405 

.04795 
.05223 

.05694 

.06213 
.06784 

•07413 
.08x04 

.08860 

.09686 
.X0589 

•11573 

.I2(>47 
.138x6 

.15087 
.16468 
.17964 

•19583 
.2x332 

.23217 

•aS243 
.27416 

•29739 
.322x5 

.34845 
.37627 

•40558 

•43631 
.46837 

.50161 
.53587 

■57093 
.6c6q3 

.64238 

I.OOOOO 



GOTHA. 

(186»-1B»5)-SELKCT. 



— 




; 


r 


—:— 


— ^_'— 


; 


—•— 








& 


^ 


[ 


J: 


^ 


^ 


c 


J 


" 


i 




s 


IKTOt 

iieoGS 




M»! 






'."'.:'. 








s;s 




























































































































































































































































































































































































































































































































































































































































































((ftj« 






sua* 


8K75 


B»L1 






































































































































































































































































































































































































































































s;m. 


386«7 


m)k 










:* 












M.M 


31S1I 


31U 







GOTHA. 



267 



(1858-1896)— SELECT. 





, 




m 


m 


« 


« 


• 








M 




T 


+ 


+ 


+ 


-»• 


*■ 




M 




^ 


^■4 


^^ 


fi ■ 


f ■' ■ 


f "^ 


r* ■ 


^ "^ 




^ 




%t 


M 


0m 


•• 


m 


♦ 


m 


.• 


M 


%f 


M 


M 




1 


1 


1 


1 


1 


1 


■c 


M 


T3 


< 


^^ 


M 


■« 


M 


M 


M 


M 




< 








l—i 


k-«i 


*- 


^^J 


• 


^^ 












T3 


•0 


•c 


•0 


"O 


•0 








15- 


600 














• . • 


74 


2885 


16 


491 


575 


• • * 


• • * 


• > • 


- • • 


• * • 


... 


75 


2775 


17 


480 


567 


598 


* a • 


* _ * 


* • • 


• • • 




76 


2705 


18 


464 


565 


589 


607 


^ _ 


... 


• • • 




77 


2611 


19 


442 


589 


577 


597 


606 


• • • 


... 




78 


2487 


SO 


419 


521 


561 


588 


504 


607 




... 


TO 


2829 


91 


396 


502 


544 


666 


576 


579 


56i 




80 


2142 


22 


874 


481 


624 


547 


558 


561 


563 


566 


81 


1933 


28 


858 


461 


605 


528 


539 


544 


546 


547 


62 


1713 


84 


884 


441 


487 


511 


524 


528 


580 


531 


68 


1493 


25 


819 


484 


478 


499 


511 


517 


520 


621 


84 


1262 


28 


806 


409 


468 


490 


504 


511 


51& 


517 


65 


1063 


97 


298 


402 


457 


486 


608 


511 


620 


522 


66 


699 


28 


296 


899 


452 


486 


504 


515 


626 


521 


87 


729 


29 


294 


807 


458 


490 


508 


528 


687 


542 


86 


577 


80 


206 


886 


456 


495 


515 


531 


546 


552 


69 


442 


81 


801 


408 


462 


502 


572 


588 


554 


562 


90 


887 


82 


310 


411 


468 


509 


531 


547 


663 


571 


91 


830 


88 


820 


481 


477 


518 


540 


555 


572 


580 


92 


156 


84 


832 


488 


488 


520 


551 


566 


584 


508 


98 


100 


85 


345 


448 


508 


543 


565 


581 


600 


610 


94 


61 


86 


361 


466 


521 


560 


584 


602 


623 


635 


96 


84 


87 


878 


486 


543 


583 


608 


626 


651 


667 


96 


19 


88 


896 


509 


667 


607 


634 


656 


684 


708 


97 


8 


89 


416 


584 


594 


687 


666 


690 


780 


744 


08 


4 


40 


485 


560 


6S4 


669 


700 


725 


757 


784 


99 


1 


41 


457 


587 


655 


702 


786 


761 


704 


822 


100 


1 


42 


478 


614 


685 


736 


771 


796 


829 


857 






43 


499 


648 


717 


769 


803 


828 


862 


890 






44 


580 


672 


747 


801 


881 


859 


894 


920 






45 


541 


702 


779 


884 


866 


892 


926 


952 




« 


46 


568 


785 


814 


869 


904 


929 


962 


990 






47 


584 


770 


862 


910 


946 


971 


1006 


1034 






48 


607 


808 


894 


966 


998 


1018 


1055 


1089 






49 


681 


848 


089 


1005 


1042 


1070 


1115 


1154 






60 


665 


880 


066 


1C55 


1096 


1125 


1179 


1225 






51 


«78 


081 


1035 


1106 


1150 


1185 


1247 


1303 






52 


702 


974 


1086 


1160 


1206 


1248 


1319 


1885 






58 


785 


1018 


1188 


1216 


1267 


1818 


1396 


1470 






54 


750 


1063 


1191 


1274 


1327 


1381 


1474 


1558 






55 


778 


1107 


1245 


1382 


1889 


1452 


1564 


1649 






66 


796 


1151 


1297 


1889 


1453 


1525 


1637 


1745 






57 


822 


1193 


1847 


1445 


1516 


1508 


1783 


1645 






58 


847 


1233 


1395 


14»9 


1580 


1674 


1812 


1945 






59 


878 


1870 


1441 


1660 


1642 


1747 


1900 


8045 






GO 


894 


1802 


1481 


1507 


1701 


1817 


1984 


2138 






61 


915 


1380 


1518 


1643 


1758 


1882 


2064 


2226 






eu 


938 


1853 


1550 


1663 


1809 


1942 


2140 


2306 






63 


948 


1371 


1576 


1719 


1867 


1998 


2218 


8387 






64 


950 


l')85 


1507 


1761 


1898 


2050 


8284 


2466 






65 


966 


1898 


1612 


1777 


1934 


2100 


2851 


8547 






66 


9ro 


1897 


1621 


1797 


1965 


2145 


8418 


8689 






67 


089 


1898 


1628 


1812 


1968 


2188 


8468 


8706 






68 




1888 


1618 


1817 


20U2 


2815 


8515 


2779 






69 




»a •• 


1605 


1815 


9008 


8286 


8560 


8885 






TO 




» m mm 





1801 


8004 


2247 


8574 


8872 






71 




• ••a 


.... 


.^.. 


1968 


2244 


8588 


2867 






72 




V * • • 


m « « 


« • • • 


M • • • 


8227 


8578 


2888 






78 


• • " 
















2546 


8861 







[s] means age at entry. 



I means atuined a^e. 



Goth A. 

(1BM-I8>S>-SELECT. 



.7e«r 

TIMS 
.72X1 



GOTHA. 



269 



(1853-1895)— SELECT. 







. 


m 


n 


» 


4 


« 








X 




•¥ 


■¥ 


^ 


4- 


+ 


+ 




^^ 






r"' 


9 ■ 


r ■ 


f 


— - 


^.^ 


f 








« 


M 


^ 


•« 


m 


^ 


« 


• 


10 


%t 


M 


< 


"i? 


1 

M 


1 

m 


1 


j. 


1 

•• 


1 

M 


• 


< 








'o* 


'o" 


O" 


"or 


"o^ 


r*» 




74 




15 


.00478 
















.09754 


16 


.00168 


.00547 




• « • . 










75 


.10614 


17 


.00460 


.00542 


.0057i 












76 


.11577 


18 


.00447 


.00M4 


.00566 


.00584 










77 


.12639 


19 


.004:» 


.00522 


.00558 


.00578 


.00586 








78 


.13778 


30 


.00406 


.00506 


.00546 


.00567 


.00577 


.00580 






79 


.14969 


81 


.00388 


.00492 


.00532 


.00:>58 


.00564 


.00567 


.66669 




80 


.16188 


89 


.00360 


.00474 


.00516 


.00538 


.00549 


.00552 


.00554 


.66556 


81 


.17486 


83 


.00351 


.00457 


.00500 


.00523 


.00534 


.00538 


.00540 


.00541 


82 


18708 


84 


.00384 


.00440 


.00485 


.OOf.09 


.00581 


.00525 


.00527 


.00528 


88 


.80051 


86 


.00330 


.0042.5 


.00473 


.00409 


.00511 


.00517 


.00520 


.00521 


84 


.81.588 


86 


.00909 


.00413 


.00466 


.00493 


.00607 


.00514 


.00519 


.00520 


86 


.23179 


87 


.00308 


.004(17 


.00462 


.00492 


.00506 


.00516 


.00526 


.00527 


86 


.-^5044 


88 


.00301 


.00t06 


.00461 


.00495 


.00512 


.00524 


.00535 


.00638 


87 


.27133 


29 


.0030*2 


.O04(r7 


.00464 


.00501 


.00519 


.00534 


.00548 


.00558 


88 


.29444 


80 


.00306 


.00411 


.00470 


.00509 


.00529 


.00545 


.00561 


.00567 


89 


.81967 


81 


.oaiw 


.00418 


.00478 


.00519 


.00540 


.00556 


.00573 


.0(K>81 


90 


.84574 


82 


.oca24 


.00429 


.0)488 


.00530 


.00558 


.00568 


.00585 


.0C593 


91 


.87566 


88 


.00337 


.a)442 


.00500 


.00542 


.(•0566 


.UViHO 


.00598 


.00GC6 


98 


.40&14 


84 


.00;i53 


.00458 


.00515 


.ca5:»7 


.00580 


.00595 


.00614 


.(.06.'3 


93 


.43954 


85 


.00:169 


.00477 


.00584 


.00575 


.00599 


.00015 


.aKV35 


.00646 


94 


.47534 


80 


.003t« 


.(i04l»9 


.00-^57 


.00698 


.00623 


.00611 


.00663 


.00676 


95 


.51440 


87 


.00409 


.0i».'>;.'4 


.0(5584 


.00(320 


.006:»2 


.00672 


00698 


.00715 


96 


.55744 


88 


.00432 


.(iu:).')a 


.0(Hil5 


.00058 


.00686 


.00709 


.007:i9 


.00760 


97 


.60492 


89 


.00457 


.00585 


.00650 


.00695 


.00726 


.00751 


.00784 


.00809 


98 


.65676 


40 


.00488 


.00619 


.00688 


.0(;736 


.00770 


.00796 


.00831 


.00860 


99 


.71252 


41 


.00511 


00655 


.00728 


.007M 


.00816 


.00843 


.00879 


.00910 


100 


.i7055 


42 


.OOC10 


.00692 


.00769 


.OOH-25 


.00862 


.0OS90 


.00926 


.00957 






48 


.00570 


.0U731 


.00^12 


.OOK'O 


.00907 


.00935 


.00973 


.01008 






44 


.00600 


.oor72 


.00856 


.00916 


.(K»951 


.009K) 


.01018 


.01(»48 






45 


.00632 


.00816 


.00902 


.00963 


.00090 


.01028 


.01066 


.01096 






48 


.00665 


.00864 


.00053 


.01015 


.01054 


.01082 


.01120 


.01152 






47 


.00700 


.00917 


.01010 


.01076 


.01116 


.01144 


.01184 


.01218 






48 


.00738 


.00975 


.01074 


.01145 


.01186 


.01215 


.01259 


.01298 






49 


.00779 


.01038 


.01144 


.01220 


.01262 


.01294 


.01347 


.01393 






60 


.OOKK 


.01106 


.01220 


.013iX) 


.01346 


.01381 


.01445 


.01500 






51 


.00867 


.01179 


.01.102 


.01386 


.01437 


.01477 


.OlS.'il 


.01620 






62 


.00915 


.01257 


.01391 


.01479 


.01535 


.01581 


.01668 


.01750 






58 


.00967 


.01341 


.01487 


.01580 


.01640 


.01694 


.01796 


.01891 






54 


.0l0'^8 


.01431 


.01590 


.0H*9 


.01753 


.01817 


.01934 


.02042 






55 


.01083 


.01527 


.onco 


.01806 


.01875 


.01951 


.O.>082 


.0221^7 






66 


.01148 


.01629 


.01K16 


.01930 


.02007 


.02096 


.02243 


.02388 






57 


.01219 


.01787 


.01939 


.02(J61 


.02149 


02253 


.02420 


.02587 






68 


.01297 


.01 KM 


.020(« 


.02199 


.02301 


.02428 


.02613 


.02H0 






59 


.01382 


.01070 


.02203 


.flc>345 


.02463 


.02605 


.02820 


.030^*8 






60 


.01473 


.02094 


.02;i45 


.02499 


.02C36 


.02796 


.03037 


.03265 






61 


.01571 


.02224 


.02404 


.02662 


.02819 


.02995 


.03266 


.03513 






63 


.01676 


.023«1 


.02G51 


.02.'s35 


.03013 


.03205 


.0:1510 


.03776 






63 


.01789 


.02507 


.02817 


.03(120 


.03219 


.C3430 


.03774 


04058 






64 


.01909 


.ftJtJ63 


.02994 


.01219 


.03439 


.03674 


.01060 


.04370 






65 


.02039 


.02831 


.ftil84 


.03434 


.03C76 


.03940 


.04371 


.04719 






66 


.02181 


.0:3012 


.03.^ 


.03667 


.03a« 


.04231 


.04711 


05113 






67 


.02334 


.0»06 


.OWW 


.03919 


.04209 


.(M.M9 


.05083 


.05.V1 






68 


- M« « « 


.03414 


.0^845 


.04191 


.04509 


.04896 


.05489 


.06031 






69 






.(MK'l 


.04484 


.04884 


.05:?73 


.(»5930 


.06548 






70 









01799 


.05186 


.05682 


.06408 


.07C96 






71 










.05567 


.06124 


.06924 


.07079 






12 












.06601 


.07480 


.08304 






78 














.06078 


.06989 







[i] means age at entry. 



X means attained age. 



270 



Catholic Benevolent Legion. 



SELECT. 



Age 

[xl 


1(.>*1 


18 


9M44 


18 


98125 


80 


97396 


81 


96643 


88 


95880 


88 


95102 


84 


94310 


88 


93508 


86 


92694 


87 


91840 


88 


90987 


89 


901 18 


80 
81 


xr. 


88 


87468 


88 


86551 


84 


85639 


86 


84707 


86 


83761 


87 


82798 


88 


81807 


89 


80776 


40 


79733 


41 


78676 


42 


77609 


48 


76530 


44 


75443 


46 


74333 


46 


73213 


47 


72083 


48 


70946 


49 


69789 


60 


68609 


61 


67388 


68 


66106 


63 


64799 


64 


63442 


66 


62033 



98796 

98075 
97346 
96592 
95825 

95045 
94252 
93446 

92630 

9*774 

90918 

90045 
89160 

88273 
87388 

86469 

85554 
846x9 

83670 

82705 

817x1 
80675 
79631 
78567 
77496 

76413 
75322 
74204 

73079 
71942 

70798 
69632 

68442 
67209 

65914 

64595 
63222 

6x796 



98410 
97688 

96206 
95442 

94665 
93875 
93072 

92259 
91407 

?554 
89685 
88803 
87920 
87034 

86115 
85198 
84264 

833" 
82340 

81339 

80295 

79241 

78159 
77069 

75963 
74839 

73685 
72515 
71330 

70125 
68894 
67633 
66328 

64959 

63555 
62097 

60579 



ll.+il>l 


iU>i]-^l 


97845 


97152 


97x27 


96432 


96394 


95700 


95647 


94953 


94883 


94191 


94107 
93317 


934*6 


92515 


91821 


91700 


91004 


90849 


90149 


89997 


89296 


89129 


88426 


88245 


87539 
86638 


87349 


86451 


85729 


85520 


84789 


84584 


83840 


83632 


82871 


82661 


81884 


81664 


80870 


8063X 


79822 


^r, 


78744 


77639 


77378 


76512 


76252 


75360 


75112 


74189 


73955 


72994 


72765 


7x768 


71558 


70521 


70332 


69248 


69080 


67947 


67798 


66612 


66483 


65239 


65 12 1 


638x9 


63693 


62330 


62229 


60802 


60706 


59219 


59125 

! 

1 
i 


57576 



96452 
95728 

94990 
94241 

93476 

92696 

91903 
91096 




15 



88556 
87680 
86786 
85876 

84947 

Sjoqa 
83043 
82058 
81049 
80013 

78944 

77847 
76722 

75572 
74396 

73195 
71965 
70705 

69414 
68093 

66738 

65346 

63915 
62428 

60865 

59258 
57590 
55861 



Age 


Age 


«♦» 


1 


88 


61 


84 


88 


86 


88 


86 


64 


87 


68 


88 


66 


89 


67 


SO 


68 


81 


69 


88 


70 


88 


71 


84 


78 


86 


78 


86 


74 


87 


76 


88 


76 


89 


T 


40 


70 


41 


79 


48 


80 


48 


81 


44 


88 


46 


88 


46 


84 


47 


86 


48 


86 


49 


87 


60 


88 


61 


89 


68 


90 


68 


91 


64 


98 


66 


98 


66 


84 


67 


96 


68 


90 


69 


97 


60 


98 




89 




100 




101 

1 

1 

i 



l> 



54067 

52308 

50286 
48300 
46252 

44143 
41978 
39761 

37499 
35198 

32869 
30520 
38166 
25819 

^3494 

3I308 

14750 
12789 

10951 
9250 
7698 

6303 
5070 




9331 
171S 

1238 

852 

573 
371 
231 
138 

79 

43 

33 
10 

5 

3 



Catholic Benevolent Legion. 



271 



SELECT. 



Age 

UJ 


i<l[.+41 


d[.*il + i 


<i[. + i] + i 


d(. + iJ + | 


dU + il + i 


d,+» 


Age 


Age 

1 


d. 


IS 


48 


386 


565 


693 


700 


734 


88 


61 


1859 


19 


so 


387 


561 


695 


704 


738 


84 


68 


1933 


to 


SO 


389 


563 


694 


710 


'At 


86 


68 


1986 


tl 


51 


386 


559 


694 


712 


86 


64 


9048 


M 


5S 


383 


559 


692 


715 


780 


87 


66 


SI09 


t8 


57 


380 


558 


691 


720 


793 


88 


66 


SI65 


84 




377 


558 


693 


732 


807 


89 


67 


33l6 


Si 


60 


374 


557 


^ 


^5 
728 


820 


SO 


68 


3363 


86 


^ 


371 


^ 


861 


SI 


69 


3301 


87 


377 


700 


734 


859 


88 


70 


3339 


88 


<S9 


364 


557 


701 


740 


876 


88 


71 


3349 


89 


73 


360 


55$ 


^ 


746 


894 


84 


78 


»3S4 


80 


74 


357 


558 


753 


910 


86 


78 


«347 


81 


2^ 


353 


5? 


711 


762 


929 


86 


74 


2325 


88 


80 


3S4 


583 


722 


782 


943 


87 


76 


3386 


88 


8a 


356 


595 


731 


785 


962 


88 


76 


2333 


84 


®§ 


614 


744 


798 


984 


89 


77 


3158 


88 


88 


355 


633 


761 


813 


1009 


40 


78 


3068 


86 


91 


359 


650 


777 


835 


1036 


41 


79 


X961 


87 


93 


365 


670 


794 


857 


1069 


48 


80 


1838 


88 


96 


37a 


708 


809 


878 


1097 


46 


81 


1701 


89 


lOI 


380 


733 


828 


897 


1125 


44 


88 


1552 


40 


102 


390 


^it 


848 


917 


1 150 


46 


88 


1395 


41 


109 


408 


866 


940 


1176 


46 


84 


1333 


48 


"3 


427 


817 


892 


964 


X20I 


47 


86 


1071 


4S 


117 


% 


lij 


923 


994 


1230 


48 


86 


910 


44 


I2Z 


961 


1029 


1260 


49 


87 


758 


46 


139 


S19 


930 


997 


1063 


X29I 


60 


88 


616 


46 


134 


564 


957 


1037 
1084 


1x07 


I32I 


61 


89 


487 


47 


141 


613 


998 


"55 


1355 


68 


90 


376 


48 


148 


^2 


1045 


1133 


1209 


1392 


68 


91 


379 


49 


^57 


738 


1096 


1 186 


1366 


M3» 


64 


98 


302 


60 


167 


^ 


1 150 


1244 


1324 


1487 


66 


98 


140 


61 


179 


881 


1207 


1302 


I39» 


1563 


66 


94 


93 


68 


19a 


955 


1366 


1363 


1465 


1607 


67 


96 


59 


68 


ao4 


1040 


1336 


1427 


1544 


1668 


68 


96 


36 


64 


aao 


1135 


1391 


1487 


1629 


1729 


69 


97 


21 


66 


237 


1217 


1454 


1549 


1715 


1794 


60 


98 
99 

100 
101 


12 

5 

3 

2 



272 



Catholic Benevolent Legion. 



SELECT. 



Ace 
1x1 



18 
19 
20 
21 
22 

23 
24 
25 
26 
27 

28 
29 
SO 
81 
82 

88 
84 
35 
36 
37 

38 
39 
40 
41 
42 

43 
44 
45 
46 
47 

48 
49 
50 
51 
52 

53 
54 
55 



ip[.+4]-[.+il+ip[.+iJ+i 



999SI 
999SO 
99949 
99946 

99943 

99940 

99937 

99934 

99931 
90928 

99924 
99920 

99916 

99913 
99909 

99905 
99901 
99897 
99892 
99887 

99882 
99876 
99870 
99863 

99855 

99847 
99838 
99828 
99817 
99804 

99790 
99774 
9975^j 
99735 
99711 

99684 

99^53 
99618 



.99610 

.99605 
.99600 
.99600 
.99600 

.99600 
.99600 
.99600 
.99600 
.99600 

.99600 
.99600 
.99600 
.99600 

•99595 

•99590 

•99585 
.99580 

•99570 
•99560 

•99545 
•99530 
•99510 
.99480 
.99450 

.99410 
.99360 
•99300 
.99230 

•99150 
.99050 

.989 ;0 

.98820 
.98690 

.98550 
.98390 

.98220 
.98030 



•99435 

•99425 
.99430 

.99430 
•99415 

.99410 

•99405 
.99400 

•99395 
•99390 

•99385 
.99380 

•99370 

•99350 

99330 

.99310 
.99280 
.99250 
.99220 
.99180 

.99140 
.99100 
.99050 
.99000 
.98940 

.98880 
.98820 
.98750 
.98680 
.98600 

.98510 
.98410 
.98300 
.98180 
.98050 

.97910 
.97760 
.97600 



p[h>«+I 



.99200 
.69285 
.99280 

•99275 
.99270 

.99265 
.99260 
.99250 
.99240 
•99230 

.99220 
.99210 
.99200 

■99185 
.99166 

.99144 
.99119 
.99090 
.99060 

•99029 

98996 
.98961 
.98920 
.98880 
.98830 

•98770 
.98700 
.98630 

•98550 
.98460 

.98360 
.98250 
.98130 
.980Q0 
.97860 

.97710 

•97550 
.97380 



p[.+«+{ 



99280 

99270 
99260 

99250 

99240 

99230 
99220 
992x0 

99199 
99187 



•99173 
•99157 
.99140 
.99120 
.99098 

•99074 
.99048 

.99020 

.98980 

.98940 

.98900 
.98860 
.98820 
.98770 
.98730 

.98660 

•98590 
.98520 
.98430 

•98330 

.98320 
.98100 
.97970 
.97820 
.97650 

.97460 
.97250 
.97020 



p« 



•99250 
•99230 
.99210 
.99x88 
.99x66 

•99M4 
.99122 

'99100 

.99070 

.99040 

.99010 
.98980 

.98950 
.98920 
.98890 

.98855 
.98815 
98770 
.98720 
.98665 

.98610 

•98555 
.98500 

•98445 
•98385 

.98330 
.98250 

•98175 
.98095 

.98010 

•97915 
.97810 

•97675 

•975'9 
.97360 

.97185 

•96995 
.96790 



Age 



88 
84 
85 
86 
87 

28 
29 
80 
81 
82 

88 

84 

85 
86 
87 

88 

89 
40 
41 
42 

48 
44 

45 
46 
47 

48 
49 

50 
51 
58 

58 
54 

55 
56 
57 

58 
59 
60 



Age 



61 
68 
68 
64 
68 

66 
67 
68 

69 
70 

71 
78 
78 
74 
75 

76 
77 
78 
79 
80 

81 
82 
88 
84 

85 

86 
87 
88 

89 
90 

91 
98 

98 
94 
95 

96 
97 
98 

99 
100 
101 



Pi 



•96563 
•96319 
•96051 

•95759 
•95440 

•95C96 
•94720 
94310 
93864 

93381 

.92856 
.92287 
91666 

90996 
90267 

89479 
.88636 

.87702 

86706 

•85631 

.84470 
83320 

.81877 

•8043* 
.78886 

•77232 
•75464 
•73578 

.71571 
.69438 

67189 

64813 
.62312 

•59690 
•56952 

•54105 
■S1158 
•48I09 
45009 
41840 
0x00 



Catholic Benevolent Legion. 

SELECT. 



K 


III. -^11 


il.->-i]*i 


q|.*i|fi 


<l[.*«t* 


al. + i)*J 


,.^. 


Ak^, 


A|=. 


.. 


1« 


.00049 


.00390 


.00575 


,007.0 


.D0730 


.00750 


IS 


«1 


■03137 








.OOS7S 












.03651 


»0 






■"^to 


,00730 










"3W9 




■00054 


















II 




.D0400 


.00585 


.00730 


,00760 


,00834 


17 


Bi 


.04560 


M 


ooofio 


.004to 


.00™ 


■«>735 


.00770 


.00S56 


M 


66 


.04904 




.00063 


.00400 


.00595 


.00740 


.007B0 


OC878 


JIB 




.o5»So 




.00066 




00600 


.0D75O 


.00790 


00900 






,05690 




00069 


.00400 


.00605 


.00760 


,00801 


,00030 






,06136 


*T 




.00400 


,00610 


,00770 


.C08.3 


.00990 


IS 


"" 


,06619 

.07144 


IS 










-00843 








-oma 


SO 


^00084 












» 


74 


.08334 




.0^ 




.C0650 




^coSBo 


:oioso 


it 


74 


.09004 


11 


.coogi 


.00405 


,00670 


-00834 


.00901 


,01110 


3t 


76 


.09733 


S3 


.00095 


.00410 


.00690 


,ooBs6 


.roga6 


0114s 


Si 


Te 


.10531 




.Q0099 






,Qo8Bi 




,0.185 


39 




11374 




.00103 










.s:.-s 






,13398 




ooioS 


.00430 




.00940 








• 'saw 


37 


00113 


.00440 


.00830 


.00971 


.01060 


o'33S 


■M 


to 


■4369 


IB 


.001 18 


.00455 


,00860 


.01004 


.0.100 


.01390 


43 


Si 


::i^^ 


»t 




.00470 


.00900 




.01140 








«0 


.DD130 




.00950 


.01180 








■%l^ 


41 


.00137 


,00530 








.0155s 








.00145 


.00550 


,01060 


.01170 


.q.jSo 


.01615 


47 


M 


,iiiH 


*3 


.00153 


■ ooyn 


,01130 


.01330 


01340 


01680 


41 


*e 


.1376B 










.01300 




!oi750 


*9 


«7 


."4536 




'00.72 


.D07CO 


loljso 


DI370 




.018^5 


60 


*i 


,a64»i 


ta 


00.B3 


.00770 


.01330 


,01450 


:o.57o 


.01905 




M 


.38439 




.»i9t. 


.00850 






,0167^ 




ii 


90 


■3°S6» 


41 


00210 


-ooc,5o 


.OU90 


,0.640 


,0.780 


-01085 


SI 


91 


■3'8" 




tB136 




01590 












,35.87 




.nQJ44 




.0.700 


o.Btq 


,03030 


■■=335 




S3 


.3708B 




OOiD5 


.01310 


olBio 




,03l90 


0.48. 






.40310 


(E 


.00389 


.01450 


,01950 


,03140 


.05350 




SI 


06 


,43=48 


M 


00316 


.0161U 


,01090 


,03190 


.01540 


.038.5 


61 


sa 


■45893 


M 


^^l 


.01780 






.01750 


.0300s 






,48113 








,oatuo 


.03980 








.5.S9. 


















tZ 


58160 























A. O. U. W., Ultimate Table. 

A. O. U. W.,(») MORTALITY TABLE. 



— 


Living 
1. 




PK,.n.a.i.m.s 


A«^ 


Living 




P.™„ui... 


Al- 




Suiviyinn 


DyiBK 




^"7:"" 


Dying 


ls 


"i! 


S33 
539 
MS 


.TO47BO 

.99469* 
.99461a 

•994533 
-99443» 


,005»M 
.C05308 
.0053B8 
.005477 
.005568 


61 


69638 
68439 


1065 

1148 

1.B9 

1129 


.983780 
-982914 

,9Bh)41 


.Oljioj 

.01 ^se 


I 


S3 


IS 

567 
573 


-994349 


.03S65I 
-005745 
.005B40 
.005937 
.00*035 


1.9 


673IQ 

046.^ 
63363 
61797 


.367 

''% 

1466 
159+ 


,93.149 
-ySoi.9 
.978819 
.976837 
.974106 


.o.S8;i 
.019S81 

■a23>73 
■"5794 


I 


9336' 
93771 
93174 


1 

i 


-993875 
.993773 
.993680 
.993565 
.993458 


,006115 
.006330 

:SgJ 


i 


6o»3 
58453 
565*1 
544C7 


1750 
19P 
3114 


,962398 
■957892 
95=990 


.029068 
.033032 

■?i^ 
.047010 


t« 


W71 

89725 
89097 


i 

638 

63s 


^993^9 
.991873 


.036885 
.006968 


:; 


49666 
4435S 

5S 


2.595 
=713 

^35 
2939 


■9477.5> 

IS 

■930563 
.923983 


■063371 
.0&M37 
.076017 


31 
M 
M 


8B46. 


s 

670 


■99=4'7 
■99»'5!; 
■99*065 


,007369 
.007533 
■007745 
-007935 


It 


3S7"3 
33771 
39B38 
16954 


1 

legs 


-9;73^ 


.082656 
.089488 

■096655 
■>039SS 


IS 
U 


83763 
830,4 
83315 


692 

743 


,951874 
.991665 
.99145' 

.«1331 

99W^4 


.C08136 
-008335 
-008548 
.008779 


s 


1" 

1643') 
14156 


2583 

1 

■996 


.879150 

■848969 
.833916 


.120850 

.I3gj2[ 

.I3S877 


I 


79J;o 

7*444 


75a 
790 
8=5 


.990708 
.9^js 

m 


.009391 
.oo95;3 
.009870 

!oi05i7 


ao 

81 

8e 


6^66 


'854 
1534 


.762759 

:SSS 


.20S374 
■27=303 

■31*^3 


M 


77619 

??8^ 
74948 
7X17° 


,1 


.988459 
.987705 
.98695 [ 

.936184 


.OIIS4J 
.oi"9S 
.013049 
.o>38l6 


IS 


>46r 
1565 
461 
'99 


4« 
130 


.509956 
.431670 
346734 


■364079 
.431364 












90 
11 


69 

17 


52 


.246377 
-176471 


■7S3^3 
.813529 



POPULATION TABLES. 
INTRODUCTION. 

Of these tables, the Swedish is one of the earliest reli- 
able population tables. The New Zealand table is given 
because of the evidence which it furnishes of the superior 
conditions, favorable to longevity, in that country. 

The Belgian table appeared in 1904. It was graduated 
by M. Omer Le Preux, President of the Permanent Com- 
mittee of the International Congress of Actuaries, accord- 
ing to Makeham's first law, and has been adopted for the 
use of the State Insurance Bureau of the Belgian govern- 
ment. 



276 



Milne's Swedish Population Table. 



Table I. 
MILNE'S SWEDISH POPULATION TABLE— MALES. 



Age. 


Living. 


Dying. 


Age. 


Living. 


Dying. 





10,210 


2.169 


50 


3.967 
3.881 


86 


1 


8,041 


554 


51 


89 


2 


7.487 


317 


58 


3.792 


90 


8 


7.170 


228 


58 


3.702 


92 


4 


6.942 


169 


54 


3.610 


93 


b 


6,773 


154 


55 


3.517 


94 


6 


6,619 


114 


56 


3.423 


97 


7 


6.505 


!3 


57 


3.326 


99 


8 


6,422 


61 


58 


3.227 


100 


• 


6.361 


51 


59 


3.127 


101 


10 


6.310 


47 


60 


3.026 


108 


11 


6,263 


44 


61 


2.918 


Z16 


It 


6.219 


42 


68 


2,802 


124 


18 


6.177 


40 


68 


2.678 


126 


14 


6.137 


39 


64 


2.552 


127 


16 


6,098 


39 


65 


2.425 


132 


16 


6.059 


39 


66 


2.293 


138 


17 


6,020 


40 


67 


2,155 


141 


18 


5.980 


42 


68 


2.014 


141 


19 


5.938 


tS 


69 


1.873 


139 


80 


5.894 


70 


1.734 


136 


81 


5.846 


50 


71 


1,598 


133 


88 


5.796 


52 


78 


1.465 


I3» 


88 


5.744 


54 


78 


1.334 


127 


84 


S.690 


55 


74 


1.207 


124 


86 


5.635 


56 


75 


1.083 


119 


86 


5.579 


57 


76 


964 


"3 


87 


5.522 


58 


77 


851 


106 


88 


S.464 


59 


78 


745 


99 


89 


5.405 


60 


79 


646 




SO 


5.345 


61 


80 


550 


86 


81 


5.284 


61 


81 


^^ 


76 


88 


5.223 


61 


88 


388 


66 


88 


5.162 


61 


88 


322 


58 


84 


5.101 


61 


84 


264 


53 


85 


5.040 


61 


85 


211 


45 


86 


4.979 


61 


86 


166 


37 


37 


4.918 


61 


87 


129 


39 


88 


4.857 


61 


88 


100 


21 


39 


4.796 


64 


89 


2 


19 


40 


4.732 


71 


90 


60 


14 


41 


4.661 


73 


91 


46 


12 


48 


4.588 


73 


98 


34 




43 


4.515 


73 


98 


25 


44 


4.442 


^ 


94 


17 


6 


45 


4.368 


95 


XI 


4 


46 


4.290 


80 


96 


7 


3 


47 


4.210 


80 


97 


4 


2 


48 


4.130 


80 


98 


2 


I 


49 


4.050 


83 


99 


I 


I 



MiLNE*s Swedish Population Table. 



277 



Table II. 
MILNE'S SWEDISH POPULATION TABLE— FEMALES. 



Age. 


Living. 


Dying. 


Age. 


Living. 


Dying 





9.790 


1.861 


50 


4,206 


73 


1 


7.929 


534 


61 


4.133 


75 


S 


7.395 


297 


58 


4.058 


76 


S 




2x9 


58 


3.982 


78 


4 


6.879 


159 


54 


3.904 


79 


6 


6,7JO 


»4i 


55 


3.825 


81 


6 


6.579 


105 


56 


3-744 


86 


7 


6,474 


73 


57 


3.658 


89 


8 


6,401 


56 


58 


3.569 


92 


9 


6.345 


49 


59 


3.477 


95 


10 


6,296 


45 


60 


3.382 


105 


11 


6,251 


41 


61 


3277 


"3 


12 


6.210 


39 


68 


3.164 


1x9 


18 


6.17X 


37 


68 


3.045 


125 


14 


^6:;^ 


36 


64 


2.920 


129 


15 


36 


65 


2.791 


134 


16 


6.062 


36 


66 


2.657 


138 


17 


6.026 


37 


67 


2.519 


144 


18 


5.989 


38 


68 


2.375 


148 


19 


5.951 


39 


69 


2.227 


151 


80 


5.9" 


40 


70 


2,076 


151 


81 


5.872 


41 


71 


1.925 


154 


88 


5.831 


43 


72 


I.771 


156 


88 


5.788 


44 


78 


I.615 


152 


84 


5.744 


45 


74 


1.463 


148 


86 


6.699 


48 


76 


1.3x5 


140 


86 


S.65I 


49 


76 


1,175 


133 


«7 


5.602 


50 


77 


1.042 


125 


88 


5.552 


51 


78 


917 


"5 


89 


5.501 


53 


79 


802 


105 


SO 


5.448 


56 


80 


697 


95 


81 


5.392 


57 


81 


602 




88 


S.33S 


58 


88 


510 


88 


88 


5.277 


57 


88 


422 


79 


84 


5.220 


56 


84 


343 


69 


86 


5.164 


56 


86 


274 


59 


86 


5.108 


56 


86 


215 


44 


87 


S.052 


56 


87 


171 


34 


88 


4.996 


57 


88 


137 


28 


89 


4.939 


61 


89 


109 


24 


40 


4.878 


67 


90 


^1 


19 


41 


4.8II 


68 


91 


66 


16 


48 


4.743 


68 


98 


50 


13 


48 


4.675 


67 


98 


37 


10 


44 


4.608 


67 


94 


27 


8 


45 


4.541 


67 


95 


19 


7 


46 


4.474 


66 


96 


12 


6 


47 


4.408 


66 


97 


6 


3 


48 


4.342 


67 


98 


3 


2 


49 


4.275 


69 


99 


I 


I 



New Zealand Population Table. 



TABLE L 
POPULATION TABLE-NEW ZEALAND, MALES. 



=^ 


ul%. 


No. 
Dying. 


Prob- 


p^^ 


z==^ 


Living. 


Dying. 


Prob- 


Prob- 


Ap. 


Living. 


D,i=(. 


Ag^ 


bUiiT of lb 
Living. I 


'zi 


^ 


loo.cxn 


;s 


.90508 


.0949a 


H 


65.377 


a; 


.98563 


01438 




90.508 


,98»9 






<i4.438 


.98501 






ss.ijas 


685 


994^ 






63.471 


1, 00a 


.98419 


.rsSi 




88.203 


450 




.00510 




6^,469 


1.053 


■98315 






87."3 


37» 


-99577 


.00413 




6l,4>6 




.98>77 


61333 




87,381 


349 


.996 JO 






6o,>96 


i]i98 




0.988 




87.032 


^ 


■99S.5 


■00375 




59.098 


I.381 


■97834 






86,706 


393 


.996&> 


.00338 




57.817 


1.356 


■97654 


"346 




86,413 


260 


.96699 


.00301 


b» 


56.461 


1.431 


■97483 


03517 




86.153 










i'S 


1.477 


.97315 


0368S 




85.533 


193 










.97149 


0=851 


11 


B5.739 




.99800 




«s 


lifej 


■96957 


03043 




85.568 


183 


.99786 






50.452 


IS 


.96721 


03379 




B5.385 


194 


■99772 






48,798 


.96438 






85. '91 


ai6 


99747 


■O0JS3 




47^060 


1.823 


.96116 


^874 




84.975 


346 


.99710 


.00190 




4S-»37 


1.899 


.95803 


(14197 




81.739 


383 


:|3 


.00356 


8T 


43.33a 


1.94a 


.95519 


0448. 




84.«6 


3?^ 


.00384 


88 


4.-396 


■•i 


.95383 


04718 


IS 


83.760 


363 
397 


.995*4 


.00430 


70 


39.443 
37-)S7 


» 


05339 




83.363 




■9949a 


.00508 




35.467 


i:i 


■94=69 


05731 




8a. 940 


438 


■9947= 


.095=8 




33.434 


.93776 






Ba.soj 


445 


■99463 


.00537 




31.353 


a.137 


.93184 




«3 


aj.057 


444 


.99458 


.00543 




39>ig 


2. -39 


.9250S 




M 


a..6.3 


438 


.99453 


■00537 




37.037 


3,227 


91759 


08141 




81.175 




.99467 






14,800 


3,340 


.907M 


09033 




8o,74» 




■9«70 






i.'.SSo 


2.333 


fl 


09853 




80,313 
79.18. 


43» 


■9W6o 


,00540 






3,175 


.0596 




437 


■99453 


-°o547 




lS]l63 




1.573 




79.-*M 


448 


■99437 


.00563 










12193 




78.906 


461 


•9941s 


■00585 




14,054 


1.893 




■3469 




78.535 


47S 


■99394 


.00606 




ia.i6i 


1,766 




14533 




78.059 


491 


■9937' 


.O06jg 




'0.39s 




■84 359 


I5&t' 




77.568 


S03 


■99353 


.006,7 






1U73 


-83301 


16799 




77.065 


S"7 


■99338 


,00673 






i.3"S 




1B003 


M 


76.548 
76.01* 


530 
543 


.99309 
,99184 


.00691 

.00716 


9? 


4^835 


1.156 
997 


'TOai 


X 




73.475 


559 






II 


3. 83* 


84s 


^779=6 


33074 




74.916 


577 




.00768 


18 


3.9«3 




■76433 


33567 




74.339 


597 




.00805 




a.aSo 


573 


■749 > 3 


25087 




73.74a 


6>8 


■99'93 






1,708 


453 


.73477 


26533 




73.i»4 


^ 




:oo876 






355 


■71713 


28387 




73.483 


:^} 






900 


369 


.7011a 


2968S 




7'i8i7 


69a 


»7 


.00965 




631 




-68305 


31695 




71. 1=5 




.01013 




% 


149 


.654=9 


34571 






7S4 


.^(08 










39716 






787 


.98871 


.oitJ9 






S3 


G 






S14 


■ 988<.3 






87 


53 




J5 


» 


!g 


:^i 


on« 


IM 


^ 


U 


■17647 


s 


6D 


«.»93 


9.6 


.98619 


:oi3e. 












_. - 







. 


. 













New Zealand Population Table. 



Table II. 
POPULATIO'^ TABLE— NEW ZEALAND. FEMALES. 






No. 


No. 
Dying. 


Piob- 


P,ob- 


■ 


N?- 


No. 
Dying. 


Prob- I 


mb- 


Alt. 


lilirr of 
Living. 


bilily of 

Dying. 


&«'■ 


hilhy o[ .b 
U.ing. D 


Ityof 
yi"B- 




lOO.OOO 


8.037 


.9'973 


.0^ 


H 


66,543 


8aB 


.98755 


01345 




91.973 


1.498 


.9337a 


.oieati 




65.715 




.^ 


013™ 




90.475 


635 


•99298 


,00702 




&»,a47 


911 


•98596 






89,840 


4^5 




.00473 




63.936 


955 


•98505 


"495 




89.4'5 


311 


■a 






62,981 


1.004 


.98406 






89.094 








61.977 


1°% 


•98195 


01705 




88,799 


aji 


■99^ 


.00306 




59i&aj 




.9816S 


01B32 




B8.5a8 


348 


-997'9 


.00281 




1,17s 


.9S030 


0.970 




8B.380 


316 


■99745 


.C0255 




58,626 


1,255 


TtS? 


oani 




88.054 


ao5 


-9976S 


,00233 




57.371 


■.343 


02310 




87.849 


186 


-997BS 




63 


56,028 


1.439 


ti^r 


02568 




87.663 


reo 


■99793 






54.5B9 


I.53S 


028.3 




87.483 


i8g 


,99784 






53.0-'4 


t.623 


.90042 


0305B 




87.394 


=03 


■99761 


jsoaja 




51.431 


1.697 


.96699 


03301 






!tl5 


■ 9974= 


■00258 




49.734 


1.763 


.96456 


;gi5 




B6',8l6 


150 


■99713 






47.971 




.96217 




B6,6i6 


375 


■99683 


.00317 




46,156 


i^S/i 


•95947 


04053 




8S.341 


30s 


■99651 


■00349 




44.^85 


1.933 


.9562a 


0437B 




86,039 


338 


.99*19 


.003B1 


71 




S 




04755 




8S.7" 


35» 


.99589 








■94793 






85.359 


374 


■995^" 


■cisa 




38.335 


a. .83 


.94391 


05709 


tl 


84,985 


394 


•99536 


■00,61 




36.03a 




.93601 


06399 




84.59= 


4'3 


.99513 


.00487 




33.745 




.92838 






84,178 


431 


,99488 


.00512 




3" .335 




.920->q 


07991 




83.747 




.99467 


.00^33 




28822 


2.55' 


■91147 


08853 




US 


J62 


:^^ 


.00556 




afi.270 


2.565 


.90236 


09764 




476 


•00574 


78 


23.705 


1% 


.80326 


10674 




8j.36a 


4B8 


.99408 




BO 


21,175 


■8*373 


1 1617 








■99389 






18.713 


2.355 


.874.6 


12584 




81.374 


5"3 


■99319 
.90348 






16.358 


2.22s 


-86397 


'3603 




ao.aai 


Sa6 






\i.& 


:'S 


.85320 


■4680 


»1 


B0.335 


540 


■99330 






.84176 




U 


79.795 


553 


■993^ 


.«.693 




10.150 




.82964 




M 


u.m 


S^ 


.99*86 


.00714 


U 


8.431 


1^541 


.8.701 




M 


5:6 


.99a68 




87 


6,880 


1.35= 


.80379 


19621 


It 


79,10a 


58S 


■99250 


.00750 


U 


5.530 


1. 163 




•^ 


M 


77.SI6 


593 


■ 99*36 


.00764 


IS 


4.367 


981 


-77S37 




76.m 








w 


3.386 


eia 


.76019 


23981 


W 


76.m 




■99" > 


.00798 






658 


-74437 


assfij 


ra 


7S-7aa 


604 


.99202 


Bt 




521 


,73806 


su 


40 


75. "8 


60s 


•99'9S 


:^a 




1.395 


4o> 


.71184 


tl 


74.5'3 


eab 


.99.BB 




94 


993 


3<»4 


.693B6 


& 


U 


73.91^ 


S08 


■99177 


,008^3 


Bt 


6B9 


MS 


.619.3 


41 


W 


61a 
617 


•9916s 
•99149 


.00835 
.00856 


■8 


464 
302 


i6a 


is; 




73,070 


&M 


.99136 




sa 




75 


■60527 


ss 




gjg 


634 


•98113 






"5 


49 


.57391 




% 


.99083 




lOD 


66 


30 


.54546 


45454 


41 


70,164 


.99051 


.009+9 


101 


36 


IB 


,50000 


50000 


49 

H 


i;3^ 


69. 
Tai 




•00994 
.010.19 


loa 
101 




" 


.38889 


61111 


11 


68.085 


753 




.01106 












U 


67.33» 


7S9 


.9sarf 


.0117a 













28o Belgian Population Mortality Table. 



MORTALITY TABLE. 

{ 1 SSo- 1900) — M A LE S. 



Ap. 


hVt.t.' 


DyiBg. 




K 


*«■: 


Livios. D 




s? 






100,000 


17.383 


.82617 


17383 


TT 


3.977 


9*6 


.98^4 


.0.716 




8J,6I7 


3.60I 


.95632 


01^ 


&t 


3.051 


968 


■98175 


.01825 




79.00a 


1.5S4 


■97995 


oacos 


M 


2.0S3 I 




-98057 


.01943 




77.*M 




.987^= 


o.i;a 


6i 


■ ,071 I 


058 


■97^ 






76.450 


695 


9909' 






50,013 1 






:S 




75.755 


5" 


■99325 






4B.9«' ■ 


1^ 






7S'« 


367 


-99512 


004B8 




47.748 I 






.02534 




74.*77 


300 


99599 






46.53s 1 


266 


■97280 


.02720 




74.577 


236 


w^ 


003.6 




45.272 I 


321 


■97082 


.oaa.a 




74.341 


31J7 


.99732 


00)78 


M 


43.951 1 


377 


.96867 


.03133 




74. '34 


1B9 


■99745 


O02SS 




42.574 1 


436 


,96627 


■03373 


11 


73.945 


166 


-99776 


002 i4 


88 


41.138 ' 


493 


■96371 


.03639 


U 


73.779 


167 


•99774 


00126 


ia 


31.645 1 

36:p9 J 


S50 


.96090 


.039.0 




73.613 




.99768 


00232 


64 


606 


■957B4 


.04116 




73.441 


i»3 


■S97S1 


00J49 




660 


-95451 




II 


73.'S« 


ais 


■99707 


00293 




34.829 I 




-95090 






73.043 


^6 


,996^3 


00237 




33,119 1 


757 


■9469s 


.05305 




73.797 


ago 


.99602 


003,8 




31,36a I 


797 


.94370 


.05730 


11 


73.507 


335 


■99538 


0046, 


B» 


29,565 I 


B32 


■93B03 


■06197 


» 


73.173 


401 


'99444 


00556 


70 


"7,733 ' 


858 


,53300 


.C670O 


10 


71.771 


43> 


-99399 


00601 


71 


as.875 1 


S76 


-92750 


,07350 




7I.3«o 


JiS 


.99385 


0060a 


T» 


33,999 1 


883 


■92154 


.07846 




7o.90fi 








B77 


.91513 


.08487 


u 


70,470 


440 


■99376 




74 


20:239 : 


B60 


.908.0 






SsS 


i:a 


■99366 


00634 






B18 


.90-^ 
89333 


:^ 




■99356 


00644 






782 


.10767 


M 


S:g 


^ 


■99345 


si; 


« 


13048 : 


646 


■S9l 


: 12615 




68.107 


46s 


oo6Ba 


*» 




5=,6 


.86353 


.13647 


M 


67,70a 


471 


99305 


0069s 


l« 


'5:8^ ■' 
8.JJ3 1 


453 


■85243 


■14757 


U 


67.291 


479 


.9,286 


0071a 


11 


340 


.84034 


.15966 


*l 


66.Bla 


4B6 






u 


7.053 1 


SI 


.82745 


-17255 


u 


65:830 


g 


■99'52 
.99331 


oo7ja 
00769 


M 


is; ■ 




-18643 
-20135 




6S-3»4 


5>7 


■992t^ 






3. 79 J 




-21730 




S,807 


Sa8 


-99185 


008.5 




2.yl8 


,76550 


■a345o 




64.279 


54« 


-99157 


oofl.,3 






574 


.74736 


,25264 


«7 


^.737 


SS6 


.ggua 


00E72 




■;699 


46a 


.7279a 


.3720S 


H 




571 


■99096 


00904 


89 


1.236 


361 


S 


.99207 


■I 




S8« 


99061 


■^939 




875 


275 


■31*29 


U 


6i,ou 


606 


»; 


00977 




600 


203 


.66167 


-33833 


«1 


61.416 


6a6 






397 


M3 


.63980 


,36020 


u 


60.790 


647 


:» 


J1064 




254 






■3B976 




60.143 


6?o 






■ss 


64 


.58710 


.41390 




a^s 


69s 


■98831 


=ii4 






40 


■56044 


.4395* 


ft 




]g87o5 




« 


5' 


24 


•Sa94> 


■47059 


w 


58. 057 


751 




OT 






.4B148 


.5185a 


n 


57.306 


^' 


.9B617 


ol^ 


ei 


13 


7 


46154 


.S3BS 




S6.5>S 


813 


.9856) 


M 


6 


3 


■5 


:U 


K 


ss 


& 


;Sg 


.01615 


100 









Belgian Population Mortality Tables, 
mortality tables. 

( 1880- iqoo)— F E M A L ES. 



A«t, 


N,.n>b.r 


N™b« 


Prob.- 


Prcb=. 


Ai. 


Number 


Numb.. 


^^;.i 


P-ob.. 


Liv.„B. 


D™<- 


Lll',nK.' 


u'm 


Li-ing. 


DyTnE-' 


Livme. 


Dying. 


~ 


loo.ooo 


M.607 


:S 


,■4607 


M^ 


57.164 


7S0 


-98636 


.01364 




85.393 


3.516 






56.384 


915 


.9S555 






81.977 


1.544 


98-M 


!qi886 




55.569 


853 


.98465 


■OIS35 




B0.333 


979 


.58731 






54.716 


894 


-98366 


■01634 


J 


TsiSsD 


539 


.990B8 
■993' S 


!oQ6a5 


iS 


S3.B3J 
Sa.883 


SI 


ts. 


3 




7B.091 


389 


99503 






51.897 


1.037 


.98003 




77.703 


303 


■99610 


■00390 




SO.Bto 




■97355 


-03145 




77.400 


=59 


99^5 


■00335 




49.769 


iiwa 


■97693 




» 


77. MI 


331 


.99701 


.00109 




48 .631 






.02489 




76.9«o 


loa 


99730 


.00170 




47,111 


1.373 


■973'S 
97096 


.01685 




76,7™ 


139 


.99?S4 


,00346 




46,138 


1.340 


.03J04 




76.5 >3 


195 




.C03S6 




44.798 


'.409 


-96855 


■03145 




7*317 




-99717 


■00283 


ee 


43.3S9 


1.480 


■96589 


.03411 




76.101 


33a 


■9969S 


,00305 


ss 




1.553 


.96397 




It 


75.M9 


=78 


•996M 


,00366 






1.^3 


■95973 


-04037 


IS 


7S.S9I 


317 


■9938. 


■00419 




38.73= 




■95619 


.04381 




75.»74 


330 


.9956" 


■00438 




37.035 




.95226 


:^^ 






352 


.99530 


,00470 


70 


3S.=67 


1.836 


,94794 






391 


■99476 


,oo:,»4 




33.431 


1,898 


■9*333 




to 


74. »' 


^6a 


■99377 


.oo6!3 


^% 


31.533 


'.956 


■93797 






73 739 


4&. 


99373 




7S 


39.577 


»,0Q4 


.933»4 




H 


73.»77 


463 


-9937a 




74 


37.573 




9=594 


.07406 


IS 


73,815 


46. 


•99367 


■00633 




a3'464 




■91904 


■08096 




|:g 


£ 


-9936. 
.99356 


.crf39 
.00644 


" 


'7%\ 


.91144 


:^ 


IS 




464 


.99350 


.00650 




I9.3H 


3,046 




,10593 




70.965 


464 


-99340 


.06654 


79 


17,a6B 






-11594 


ti 


70.501 


467 


■99338 


.00663 


SO 


■ 5,=66 


1.936 


.873.8 


, 1263a 


» 


70.034 


468 


-993 f 


.0066B 


■ t 


'AS 


I.S49 


.86ijg 


.13871 


10 


69.S« 


471 


-99333 


,00677 






.84836 


-15164 




S.095 




-993 '4 








l!6l4 


■83439 


-10571 




M.6ii 


478 


-99303 


!oo697 




9.116 




.81898 


.iSloa 




6S.I43 


493 


.99=93 






665; 


l'.3l5 


.Soz,o 


.19760 




67.«> 


486 


.99>8> 


!oo7i8 




5.340 


1,151 


78446 


■«'i54 


IS 


67.17s 




.9936B 


.00733 




4.99 


9B4 


.76510 


:;31 


IS 


66,683 


499 


■9935" 


■0074B 




3.™5 




-7441S 


ST 


66.184 


505 


-99=37 


.oajh-i 


IS 


3,3B5 


664 


.73159 


.37841 


ii 


65.679 


S14 


■99*17 


,00783 




1,731 


530 


.69785 


.3331s 




S.165 


Ssa 


-99199 








394 


.67194 


.33B06 


to 


64.643 


533 


■9917s 






''toj 


1S6 


.64560 


■3-S'3S 




64.110 




.99151 


.0084^ 




S'l 




.61613 


,38388 


u 


63.566 






.00B76 




3" 


i 


.58567 


t^\ 


« 


63009 


570 


■990^5 


.00905 






■55319 


« 


6a.439 


586 


.99061 




M 


104 




■519J3 


.48077 




61.853 


603 


■99035 






S4 


38 


.48148 


.51853 


M 


61.1155 


&a 


.99934 






35 


1« 


.46154 


.53816 




60.1^ 


s 


•9B939 










41067 


.5B333 




59.9*5 


.9BB90 












.6 




PS 


690 


-9BS37 


.01163 








■5 




SO 


7.8 


9877; 




1 01 










It 


57.9" 


747 


.98710 


,01390 













BRITISH GOVERNMENT SICKNESS TABLES. 

INTRODUCTION. 

These tables were constructed from the experience of 
all the friendly societies of Great Britain, 1876- 1880, aa 
reported to the Registrar of Friendly Societies. The labor 
of collecting and analyzing this experience, of graduating 
the tables and computing the monetary values, was entrusted 
to the late William Sutton, F. I. A., actuary of the registry. 
The tables were published by the British government in 
1896. 

The portion of the experience from which these tables 
were deduced, embraces over 1,600,000 persons exposed to 
sickness, with 3,147,044 weeks of sickness, and 23,048 
deaths. 

This table, with interest at ^j4 per cent, has been 
adopted as the standard of valuation of health policies, 
covering all diseases and renewable beyond one year at the 
insured's option, under the laws of New York. 



British GuvtiKXMENT Sickness Tables. 



285 



BRITISH GOVERNMENT SICKNESS TABLES. FOUR PER CENT. 

MALES, X876-1880. 
CORRESPONDING MORTALITY VALUES. 



Age. 


D» 


N, 


Age. 
63 


6 


82192 


1613800- 


6 


77897 


1535900. 


64 


7 


74034 


1461900. 


66 


8 


70477 


1391400. 


66 


9 


67197 


1324200. 


57 


10 


64145 


1260100. 


58 


11 


61282 


1198800. 


59 


It 


58581 


1 140200. 


60 


18 


56016 


X084200. 


61 


14 


53562 


1030600. 


68 


16 


5"i5 


979400. 


68 


16 


48953 


930440. 
883690. 


64 


17 


46768 


66 


18 


44656 


839020. 


66 


19 


42625 


796400. 


67 


80 


40685 


755720. 


68 


81 


3884s 


716870. 


69 


88 


37107 


674770. 


70 


83 


35460 


64430U. 


71 


84 


33898 


610390. 


78 


85 


32409 


577990. 


73 


86 


30984 


547020. 


74 


87 


29617 


517390. 


75 


88 


28302 


489090. 


76 


89 


27037 


462050. 


77 


80 


25821 


436230. 


78 


81 


24652 


41x290. 


79 


88 


23538 


388050. 


80 


83 


22448 


365600. 


81 


84 


21408 


344200. 


88 


85 


9Q408 


323790- 


83 


36 


19446 


304340. 


84 


87 


18522 


285820. 


86 


88 


17635 


268180. 


86 


89 


16786 


251400. 


87 


40 


15973 


235430. 


88 


41 


15195 


220230. 


89 


48 


14450 


205780. 


90 


43 


13735 


X92050. 


91 


44 


I3C49 


X79000. 


98 


48 


12390 


X66610. 


93 


46 


"755 


154850. 


94 


47 


11x44 


143710. 


95 


48 


10556 


133150. 


96 


49 


9990-6 


X23160. 


97 


80 


9447-8 


113710. 


98 


81 


8937-3 


104790. 


99 


88 


84275 


96358. 


100 



D. 


N. 


7947-1 


884x2. 


7484.1 


80926. 


7037.0 


73891. 
67285. 


6604.7 


6187.4 


6x098. 


5785.4 


55312- 


5398.5 


49914. 


5026.6 


44887. 


46689 


40218. 


4324-3 


35894- 


39926 


3x90a. 


36736 


2S228. 


33679 


24860. 


3076.8 


21783. 


2801.6 


18982. 


2542.3 


16439- 


2297.3 


14142. 


2064.x 


12078. 


184X.2 


10237. 


1627.5 


8609.x 


X424.0 


7x85.2 


1232.7 


59525 


1056.6 


48959 


897-97 


3998.0 


758.00 


32400 


636.56 


2603.4 


532-02 


2071.4 


441.88 


1629-5 


363-94 


X265.6 


296.32 


969.26 


237.71 


731-54 


187.56 


54398 
398.38 


145.60 


11143 


28695 


84.196 


202.75 


62.878 


13987 


46.301 


93-573 


33430 


60.144 


23-433 


36.7x0 


15742 


20.973 


99674 


11.000 


58248 


5- 1555 


306x5 


2.1x40 


I.398X 


.71590 


.52862 


.18730 


•15385 


.033400 


-030449 


.0030496 


.0030496 





Net Single Premiums. 




Net Single Premiums. 





D 


.,«T,0»-0. 


■ v. 


«. 


D...T, 


OH— Tw 


Y..,.s. 


Th.« 




















AIlDg- 


* 


We.k., 


W«L., W 

«-4;. 4 


^'' 


T0..I, 


b'^m"'.. 


g™",'' 


Tsui. 


.nd'PS- 


~tisw. 


I 


.ao 


,17 


"^ 


179' 


■92 


-64 


■ 56 


454 


~^i 










X8.38 


97 


.67 


[64 




2481 




.aj 


.19 




18.S1 






1,73 




2;.s» 








>3 




1.07 


■74 




530 


a6 33 




■a* 




»5 






-78 




5-56 


27.06 




■"1 




16 


19.96 


>!iB 






S^82 


2"^ 




.26 


■33 


»7 


ao.il 




^BS 


209 


6. 09 






:3 


.24 


38 


20.64 


1.29 


.89 


2.18 


6^ 




11 


■as 


29 


20-95 


1-34 


■93 


3,37 


39:89 


14 


■30 


.»6 


3" 


ai,j6 


■ .38 


.98 


2.36 


6:98 


30.60 


It 


30 


.98 


31 


21.56 


1-43 


1.0. 


244 


7.29 


3i-«9 




■3' 


.iB 




21.84 




1.U5 


3.53 


763 


3'99 




■3» 


.a8 


33 








a. 61 




32.68 




•33 


■»9 




"34 


157 


"I 




833 


33 37 


» 


■34 


■30 


35 


23.58 


t.62 




2:7a 




34.08 


ID 


■3S 


■3" 


37 


22,92 


1.67 




387 




3480 


11 


.36 


■3= 


38 


2305 


1.72 


1,35 




953 


35 54 


M 


.37 


-33 


39 


»3 3o 


I.7B 








36.30 


H 


-39 


:S 


40 
42 


5K 


;:8 


ii 


337 


;li 


37.09 
37.91 


U 


■♦> 


■^ 


43 


2414 


1-95 


"■43 


3.3E 


11. 26 


3B78 


IS 


■*• 


■38 


44 


2446 




1.47 


3-49 


11,74 


3969 


17 


■4* 


.*o 


46 


2479 


2.O.) 


I.SJ 


361 


i3.as 


40.65 


11 


■4S 


■41 


47 


3514 


3,16 


I,S8 




11.77 




n 


.3 




49 






1.63 


3^87 


13.32 




« 


'IS 


51 


2sas 


2.32 


1.69 


4.01 


13-88 


4374 




■SO 


■^ 








'b^ 


41s 


I .46 


44 Sj 


u 


-5t 


SJ 


36-Sq 


2:48 




4.29 




45-95 


u 


■S3 


.48 


S6 


26.98 


257 


'■B7 






47.12 


M 


-ss 


■50 


sa 


2737 


= 65 


194 


4 59 


I 35 


48.3' 


U 


.56 


-Sa 


60 


27.76 


274 


2.03 


474 


1704 


u 


U 


:g 


•S3 


62 


28.15 


2.84 












64 


28.56 








18.48 


51 12 


11 


.Ga 




fi? 


28,96 


30+ 




S-as 


'9-25 


5346 


1> 


■6* 


-SB 




39.3s 


3- 14 


2.29 


543 


2005 


9% 


u 


.66 


.61 




2977 


3.36 


237 


S.6J 


Ti^^ 




.68 


■63 


74 


30.18 


3 37 




S^83 




5774 


u 




■6S 


77 


30.51 


3-49 


as; 


e,o4 


n.bi 


5926 


49 


:;i 


.67 


79 


30.99 


3.63 


a.64 


6.36 




6083 


" 


■JO 


82 


3'-39 


3 74 




6.48 


34:56 


63.43 


)j 


-7a 


-?" 


85 


31,77 


387 


3. 84 


6,71 


25.60 


64.0a 




.go 




88 


32.16 




294 


6.95 


26.67 


65.7B 




:g 


■77 


9" 


3»-54 


*'4 


3.05 


7.19 


27.S0 


67.53 


n 


■79 


91 


3=9" 


4,39 


31s 


7.44 


38,98 


6933 


41 


.89 


.to 


)7 


33-27 




3»6 


7.70 




71.19 


to 


,92 


-Bs I 




15 




3.3B 


797 


3 '-52 






■95 


.BB I 


°i 


4 75 


350 


8.25 


3»,S9 


75-13 


» 


.97 


.91 I 


08 


34-32 


4,9i 


3.63 


8.54 


34-35 





Net Single Preuiuus. 











UlOTIOX-UNI 


Yun. 








i 


Wcek>. 


Wrcki. 


w 


W«k. 


Wfcll!, 


W«k>. 


w«v. 


w«k>, 


WMbi. 






4-S. 


sHi'' 


i"ir'' 


-7^, 


ei-fs. 


w^,- 


KAi. 


»M>. 


"sT 


II-»6 


5 55 


433 


3.4S 


.98 


a 03 


136 


'!! 


"FT 








4.33 




ao3 






I.2fi 






ti.o6 


5.60 


443 


356 


207 






■ "9 


146 


M 


10.94 


5.62 


4. 48 


3.61 








'33 


«S" 




IQ.Bi 


5-63 


4 53 


2.64 


a.15 




1.51 


'37 


'56 


bl 


10-73 


563 


4 57 


269 


2-19 


2.27 


1.56 




160 




10 59 


563 


461 


»73 




232 




'■«S 


1.6S 




la^j 


56J 


464 


276 




337 




1-49 


1.70 






i-S" 


467 


279 


230 


a.41 




l.ja 


'74 


U 


IQ04 


5.58 


4.6S 


2.B2 


»33 




1.69 


I.S5 


1.7B 


M 


986 


5-53 


4.69 


2.B3 


2.3s 


247 


17a 


"■S7 


1.81 


M 


9-58 


546 


465 


284 


2 3fi 


2.49 




1.60 


..8s 




9-31 


539 


4-ftj 


284 


337 


2S' 


.76 


ifia 


1. 87 


M 


n 


S.19 


4S8 


sBa 


2.37 


3-52 


176 


'63 


>.89 




S'9 




2.7B 


235 


2,50 


1,76 


■63 


'89 


M 


8,4> 


5.05 












r,62 


1S8 


et 


B.03 








l'^ 








iftS 


TO 


761 






2.63 


2.24 


839 






Ito 








4.07 


2S5 




133 




'55 




T» 


6,76 


4.30 


391 


2.47 


212 


1.28 


1.63 


'S3 


''?> 


71 


63" 


4.1I 


376 


237 


206 


2.21 


15! 


'49 


'■7» 




5-95 


390 


3.6a 


2-29 


1,98 


3 15 


"■53 


'43 


..67 




5.62 


3-71 


3 44 




1.88 




147 


'38 


161 






3-53 


3=8 




i.Bo 


>-9S 




;;S 


154 






3 "8 


304 


1.97 


168 


.84 


■■34 


'■47 




446 


303 






1,56 


'74 


125 


1.40 


7» 




iBi 


a.tl 




142 


I. SB 






I 27 


to 


3-67 


»s» 


=.36 






1.4a 


t.os 






tt 


339 


J. 30 




1.34 


i!o7 




■90 


■a? 




11 


3" 




1,95 


i-o5 


.88 


I. OS 


■75 


■71 


.82 


u 


a.94 


IgS 


l.Bo 


-B9 


■70 


■7B 


■S6 


■56 


■67 


H 


a. Bo 




169 




51 


■53 


■37 


37 




IS 


I-9S 


':l^ 




■59 


.46 


■S4 


.3fi 


.36 


■44 


IB 


'0 




■43 


.36 


.40 


■3' 


■3' 


■39 


«T 




-49 


45 


.2S 


."4 








,20 


■1 




















SO 




















SI 


.... 


















SI 




















94 




















se 




























































» 












'.'.'.'. 








IM 





















British Government Sickness Tables. 





D 


U..T,OK- 


-0-. Vl 


,. 


Lt.-Tl 


OK— Two 


V.A«. 










1 




















W«k., 




W..V., 






SKond 


Toul. 


.ndUp- 


»<>«•. 




da-a. 


«3-«T. 


47-6B. 




BMoi. 


SMoL 


irird.. 




~u 


100 


■W 


1..1 


34^6+ 


S.08 


3.76 


8. 84 


35.90 


« 


H 


:.3 


.96 


I 'S 


34^95 


5-26 


3-89 


9. '5 


37-54 


ii 


■99 


I.I9 


35^27 


5 43 


403 


9.46 


39'8 


8401 


M 




;3 


1.33 


35^*. 


S.61 


4 iS 


979 


41.11 


M50 


n 


1.13 




SS 


S.Bl 


4 3= 


10.13 


43.03 


89 




M 


1. 17 


1.09 


'■3' 


6.02 


4 47 


I0-J9 


45.'>4 


9' 


7S 






1-13 


"35 


3649 


6,»3 


4.63 


10.86 


47. IS 


94 


5' 








1,40 


3S.7> 


t:^ 


479 






97 


34 




t.i8 




1-45 


36,87 


4-96 




S''74 






11 


1. 31 


113 


148 


36.93 


6.B9 


S-'4 


12 03 


5423 


103.19 


M 


"■34 


"S 


,51 


36,93 


7,11 


5-3" 


12.4a 


5687 


10633 




137 


tag 


1,56 


3679 


732 


5 49 




5968 






138 


130 


158 


3656 


7.52 


S.6S 


13- iB 


6a ■.M 


"IS 




1.4a 


13J 


1.60 


36 » 


7.71 


is 


13.50 


65^5S 








1. 61 


35-70 


7.87 


"3-75 


68 59 


iia.04 








1,61 


35™ 




59S 


13.93 


71-54 


130.49 




139 


13' 


160 






602 




7439 


lia.6o 


TO 


"■37 


1-30 




B 


8.03 




14.05 


77.1S 


J^4= 


Tl 


"M 












??^ 




71 


'■3» 


I.a6 


'■54 


3090 


7.93 


5 97 


13.90 


83.60 


137.60 


Tl 


1.38 


',„ 


1.48 


29.66 


7.B8 


S9a 


13. Bo 


8s So 


129.26 






1.19 


'■43 


»a4o 


7-80 


5.S9 


1369 


B903 


131-13 


T» 




I .6 


142 


3711 


7-7B 


5 3» 


'3-0= 


9351 


1333a 


Tl 


1.16 




■35 


25.-8 


7-7S 


5. 78 


1353 


96.30 


13S-S" 


TT 






1.31 




7.68 


576 






137-77 


Tl 






125 




7-61 


S63 


''as 


.0378 


139.64 




;i; 


■93 




10.69 


739 


5.19 




.07.39 


14096 




■B4 


■ 03 




705 


537 




1 10. as 


1,1.93 




.76 


■^3 


90 


■652 




5.10 


.173 


11423 


14346 


U 


■59 


.58 


■73 


H.43 


6.19 


4.74 


10,93 


117-41 


■42.77 


u 


■47 


.46 


■5g 


12.38 


5.62 


4-45 


10.07 


.30,56 


143.01 


M 


•3° 




■38 


10. 3 J 




4 '5 


9.16 


123.7a 




It 


-3« 


■3? 


■40 


B.ia 




39a 


8.22 


126.70 




II 


.27 


.06 


■34 


5.84 


3.80 


3-45 


7.»S 


129-11 


142.JO 








•■3 


3^19 


3.10 


3-" 




"3059 


"39-99 


II 










256 


2-56 


5.1a 


130.69 


■358' 


11 
















.29.06 


129.06 


10 

11 
















.1908 


;ss 


II 
















94 77 


9477 


II 
















81-00 


Ea.90 
























It 




















6i!4i 


M 
















S» 


■3 


53.13 


















43 


=3 


43-93 


II 
















30 




368a 


H 
















30 


70 


30.70 


IM 










;::: 








85 49 



British Goveknuent Sickness Tables. 29^ 

srirish qovernment sickness tables. three and one< 

half per cent males, 1b76-b0 

corresponding mortality values. 



Ai.. 


D. 


». 


*«*, 


D, 


». 


, 


84198 


iBuToo. 


M 


10360 


119440. 




SDI83 


1731500, 




9708,7 


109730. 




76574 






917a B 


100S50. 




73»49 


1581700. 




8650.9 


9'903- 




7DI76 


1511500- 


»T 


B143.S 


18 


6731a 


1444300. 




7'S5..o 


11 


6*6., 


13796m, 










6J070 


13175". 










59638 


1357900, 




6164,4 


5S9S"- 


" 


5730S 


13OO6O0. 


U 


5830-3 


50IJ7. 


It 


S50M 


1145500, 


n 


54090 


4(718. 




5:876 






■;coo,B 


39718. 




S0761 




M 


4607.3 






487™ 


993 1 Bo. 


«8 


43390 


30883^ 


l» 


I^J 


M6480. 




3SW-3 




JO 




&: 




33484- 


tl 


JJgsi 




3303,5 


303ll. 


H 


4.1.56 


8I7J50 


70 


3893.3 


173»B- 




39B.7 


777B30 




3593.4 
330J6 


14796, 


'* 


3*055 


7397S0, 


71 




14 


36559 


703330, 


71 


30344 


10*69 ■ 


K 


35'» 


668100. 




17610 


8707.B 


17 


33733 


63.1350. 






7191.. 


It 


31391 


60.960, 






S895-9 




3 "093 


570870, 




109S.6 


4797-3 




39838 


54>03O- 




937™ 


3S70.J 




'Stras 






778- ?> 


3091-8 


M 


37451 


.1845^: 




64974 




U 


36317 


458640. 


it 




'B04-3 


»♦ 


as.™ 


433430, 


■1 


439' 93 


•*-^A 


U 


34157 


409360. 


■8 


3^463 


■ 1098 


H 


*3i3o 


386130. 




38115 


838,63 




SS 


364000 




310 31 


609.31 


II 


M38ao. 




168 68 


44065 


U 


30357 


313560. 




13805 


3-3.60 


W 


19359 


303190- 


n 


96.090 




41 
41 


\'^ 


»: 


II 

M 


I'l^ 


145-41 
9383; 




i6M 


350080. 




36.33> 


57498 


« 


16131 


333950. 


» 


34.516 


33-97' 


41 


'S390 


MB51S0. 


M 


15-349 


17-367 


M 


14<^ 


303890. 


14 


9.I0.5 


e.3043 




13977 


189470. 


»i 


48393 


3-3649 


41 


;sj 


176610. 
163960, 


»e 


3 330-, 

.S436S 


-30070 


it) 


l»ja 


151940. 


M 


irngole 


.05400 




II415 


140530. 


N 


-0049379 


it 


I0818 


1397™- 


100 


.0049379 





Net Single Premiums. 











D<.»T> 


»-o« 


"ym — 









i 


w.=k.. 


W«lc, 


w«v.. 


W„ks 


Werki. 


Wiclii, 


Waki, 


W«k< 


W«lv 






4.8. 




13-17,' 


17-31, 


si-2a. 




sfr^!' 




__ 


nog 


3S4 


190 


,90 


■65 


,63 


-39 


3, 


?s 


« 


11-33 


35' 






.68 


.6; 




■31 


-37 




•AS 


3.48 


a, 07 






.68 


-43 


.36 


■38 




31+ 




1,03 


-75 




"*! 


.38 


■40 




1179 


3-63 


9.17 




■79 




■46 


■39 




10 


;:5 


3,66 








76 


■48 


.41 


43 




3.73 




■'3 


■83 


78 


■49 




■43 




ia.0S 


377 


9.35 


1,16 


-85 


-Bi 


■5" 




■47 


11 




s 


940 

3.47 


1,19 


.88 


1 


-S3 

■55 


■« 


■5' 


It 


.3.17 


393 


9,51 


I.afi 


■93 


.89 


-S* 


-48 


■52 






398 


a.SS 




■95 




58 


■ 49 


-5* 


il 


U.31 

11.39 




3-59 

I'd 


■■31 
'■34 
'-37 


■0 


-93 

.1 


.61 


.50 
■51 
S3 


» 

■57 


H 








I 40 


loS 




■64 




■:9 


tt 




4.31 




1 43 






■65 


■56 


.61 


M 


19 36 






146 




i-oS 


.67 




.69 


» 


13 35 


4-31 








.08 


.69 


■59 


■64 


M 


IJ.36 


436 


3.91 


I-Sa 


1,14 


i-ii 


.70 


.60 


■66 


U 


•,is 


441 


3.96 


is; 


1.17 


l:!l 


J, 


-69 


.68 






3.01 




lao 


a 


-&, 


■7» 


n 


1333 


4 53 


3.06 




193 


119 


.65 




» 


"3S 


4.59 


313 


res 


1,35 




■78 


■67 


S 


» 


13,39 


4t>S 


3'fl 


1.68 


1,28 




.to 


.69 


M 


13.43 




I'd 








.89 




■78 




ia.47 


478 




'■33 


1.30 


S 




.80 


M 


13.SO 


4.84 








'■33 


■75 


.89 










I Si 


1 39 


1.36 


-SB 




.85 


H 


ia.S4 


4-97 


3:46 




'43 


■■39 


.91 


■79 


.87 


1( 


la.ss 


503 


3-53 


1,90 


.46 


il 


■93 


,89 


■89 


U 


1257 


5.10 


359 


194 




:S 


■84 


.91 




13,59 


5.16 


3.65 


1.98 






.86 




» 


13.61 


593 






'56 




1. 00 


,88 


■97 


s> 


K.63 


5.38 


377 




' 59 




1.03 


■90 




M 


■3,63 


5-33 
5 39 


IS 


3U 




1-65 


i:3 


-93 
■9S 


ii 


a 




544 


395 




1.70 


163 




,t, 


1.09 


i» 




5SO 






■■73 


179 


1. 14 






M 


1356 


5-55 


4,07 


3,36 


177 


177 


1.17 


i!o3 


i-"S 


» 


13,53 


559 


413 


230 


■ Bo 


.81 


I.90 


<.o6 


1.18 


U 


12 4S 


5.68 


4,19 


If. 


;,!s 


'.:% 


\:U 


109 


I'S 




13.34 


5-73 


430 


3.43 


193 


1-93 




1.15 


X.39 


M 




576 


4.36 


3-47 


.96 


IW 


i.« 


l.ll 


1-39 


10 


la.IS 


5-79 


4.43 


9-51 


'99 




'■36 


1. 91 


136 


tl 


13.03 


S.81 




"■55 




9,07 


139 


vs 


1.40 


u 


II 93 


S-84 


453 


3,59 


307 




1.43 


*44 



Net Single Premiums. 



—^ 


Dum-noNv- 


-".h;t"v; 


«. 


DriAT.ON. 


-Tw 


V..., 


Thr« 




1 


WHk>. W 


«k. 


W«ki. 


ToiJ. 


FinI So 


Dfld 


Toul. 
1.97 


AH Di- 
ntioH. 






^"V 


47 -sa. 


B Mot. B 


aot. 


'w.rfr 






■»4 


^ 


■SS 


JO,47 


I.16 


81 


6.C.S 


~~^ 




■'S 


"3 


.37 


X1.98 




85 


3,07 


6- 35 
66i 


3940 




■rp 


=H 


.aS 


31,45 




89 


3, 16 


30.6 




.38 


•J 


■=>9 


31 BS 


133 


93 




6.9s 


3109 






.30 


33.9a 


139 


97 


336 




3190 




■3= 


»7 


•3= 


>3 66 


145 1 




3,46 


757 


3=69 




■s* 


aB 






1.5" ' 


OS 




7.88 


3347 


u 


■33 


»9 


■34 


333; 


J-^ 1 








34^ "4 


» 


•34 


30 


-35 


33,rx) 




H 




854 


34^99 


M 


■35 


3> 


-37 




J;67 1 


18 


3,85 


8.89 


3575 


» 


■3fi 


3" 


■38 


a4.3" 


1,73 I 


n 


3.95 


935 


36.51 


It 


■37 


33 


■39 


34 59 


1-77 1 




304 


963 


37.36 




■38 




.40 


3486 


I.8> 1 


31 


313 




3801 


11 


-39 


35 




»5 13 


1.87 . 


35 


3," 


1043 


3877 


U 


• V 


36 


^a 


.536 


1,93 ' 


39 


3' 3' 


10. 86 


39 5+ 


M 




37 




3560 


1-99 • 


a 


343 


11 30 




» 


■43 


38 




3S.B6 


3,04 1 


3 S3 


II 75 


4' '3 


M 


-44 


39 


.46 


3610 




53 


363 




4194 


« 


■45 


4° 


-48 


3636 


316 1 


57 


373 


i>6a 




H 


■ 47 


*» 


•49 


a6.64 


3,33 I 


63 


384 


.3.1a 


43,66 


H 


■48 


43 


■5» 


36.94 


3>9 t 


68 


397 


■367 


44-S8 


H 




s 


■sa 


37.34 


336 . 


^3 


409 


14. JO 


45-53 




■St 


■54 


37 57 




78 




1474 


46-53 


H 


■S" 


47 


-55 


3791 


3-53 1 


84 


436 


15,30 


47.57 


» 


-S3 


A» 




38 a; 


3.6o 1 


90 


4.S0 


1590 


4863 


M 


-5S 


5° 


-59 


aS.So 


368 . 


95 


4.64 


.6.50 


49-74 


U 




S' 


.61 


iSqj 


3,76 I 




4 78 




50,87 


M 




53 




39,39 


3.85 3 


08 


4 93 




S3,03 


M 




SS 


-64 


39.69 


»94 3 


■s 


S°9 




53" 


M 


.6> 


S6 


,66 


3006 


303 3 




534 


19.14 


54 44 


11 


-64 


58 


.68 


SK 


3-1" 3 


38 


5 40 


1986 


S5 70 


M 


.66 


60 


.71 


3.33 I 


35 


SS7 


30.61 




•T 


.68 








3 33 3 


4« 


S74 


31.39 


sb'b 


H 


■69 


a 




3!. 58 




5S 






1?,;^ 


M 


■7» 




3196 


3 S3 3 


58 


6.11 


33"} 


M 


S 


61 


.8a 


3*34 


3.65 3 


66 


63' 


3388 


6] S3 


11 


70 


.Ba 


31,73 


376 3 




651 


3478 


64.01 


U 


:K 


7* 


:S 


3309 


3.B9 3 


84 


673 


3571 


6)53 




74 


3346 


4.DI 3 


93 




36.69 


6709 


H 


.83 


76 


.90 


33.e» 


4- '4 3 


"3 


7.17 


37,71 


68.70 


«l 


:ll 


79 


.1 


34-17 


4-37 3 


13 


740 


si 77 


70-34 


M 


81 


34 5" 


4*0 3 


33 


7,63 


39.87 




« 


-91 


Si 




348^ 


*?i 3 




7-8g 




737S 


41 


:|i 




35. IE 


4.68 3 


45 


8. .3 


33.n 


75 53 


W 


89 


I OS 


SS 


4-83 3 
498 3 


5f 


839 


3348 


77.37 


H 


-M 


9» 


irf.9 


08 


866 


3480 


79,37 


11 


l.ai 


K 


I 13 


3610 


S '4 3 


80 




36 '9 


81,33 




I.O( 


97 


1. 16 


3638 


530 3 


*• 


9-33 


37.67 


>3-.7 



Net Single Premiums. 



— 








DU1.AT.0 


»-oi.. y«.. 








i 


W«V|. 


WhIii. 


Witki. 




W«k<, 


Wicki. 


Wi<k*. 


WhIu. 


W>rl,, 




0-4. ■ 


4-8. 


B-l». 


IM^ 


iT-oei. 


iist: 


M-X. 


»-M. 


SIJKh 


H 


l.!69 


'^7 


t^ 


>.63 
1.07 


3- "5 


a 15 


1-45 
•■49 


1.31 


1-48 




■'57 
II 43 


;fi9 


467 


375 


3.[B 


3.39 


'.S 


;.38 


ii 


K 








,78 


336 


3.34 


160 


'■45 


1*65 


M 


ll!!? 






3.81 






1.63 


149 


169 










3.8:; 


'34 


3-<4 


1.67 


1.5" 




W 






4,84 


3.68 


338 


348 


1.70 


1.56 


'.78 










a 91 






1-74 


■■59 


1.83 


a 


"0-39 


579 


486 


a-93 


3.43 


3 53 


1.76 


,■63 


1.86 


M 


loiS 


5-73 


485- 


394 


»44 


a.SS 


1,78 


164 


iSS 


M 


9.88 


S-b^ 


4.81 


"93 


»45 


3.5B 


i.So 


i.67 




»i 


9-59 


5.S6 


4.78 




'•45 


359 


iBa 


1.68 




M 


9.17 


5 45 




a. 91 




3.60 




'■t9 


194 




8.98 


5-33 


465 


JS7 




a.57 


1.81 


16B 


"93 




a.63 


S19 


45S 


aG3 


3.39 




'2 


'? 


"93 


M 


'a 


S.03 
4.84 


4 45 


3.70 


33s 
330 


3.50 
3 45 


176 


^■^I 


:% 




7-39 


465 


4'l6 




333 


'3« 




::sl 


"84 


Ti 


690 


439 


4.01 


3 5' 


3 17 


3 33 


1.66 


1.6] 


It 


6.S0 


4*3 


3 S3 


343 


JXO 


3.36 


i&» 


■51 


176 




6.c6 


398 


3*9 






a 19 


1,56 


146 


1.70 


?! 


S-J4 


3.7a 
3 59 


3 33 


310 


il 


a.o8 
198 


■■so 


'.'i 


IS 




4.98 


3-34 


3 " 


1:96 




1.B7 


'■37 


■-30 


"SO 




4-53 


309 




180 


lito 




138 




143 






"85 


264 


1.63 


IS 






i-'3 


1.39 


■0 


3-7" 


=.56 


339 


145 


■44 


1.06 




■ ■i8 


■1 


3-43 


3,33 




1.35 


108 


134 


■91 


.88 


1,03 


u 


a-as 


3.14 


1.97 


1.07 


■90 


1.03 


.75 


■73 


.83 


11 


iS 


..9B 


181 


■9° 


-71 


-79 


■57 


.56 


■67 












.54 


-38 


.3» 


-44 


u 




'1 






•47 




■36 


■36 


■44 


u 




■'i 


.43 


-36 


■4" 


.31 


■3" 


■39 






49 


■46 


■as 


-33 


.S3 






.10 


u 




















to 




















>1 




















>1 




















M 




















H 




















M 




















M 




















•t 








































leo 





















Net Single Premiums. 





D 


„«T.O, 


-Ok. Yi 


A.. 




os-T* 


V.A... 


Th,« 




i 
















All Dm. 


Wt>k(, 


W,.k. 


W«k>. 








Toul. 
93' 


.nd"> 


rillDlu. 




HM4. 


«-4T. 


47.*!. 




5 47 


OJIc* 


Wlrdi. 

392a 




TT 


I.07 


1.OD 


1.19 


36.6s 


85.38 


t4 




">3 


1.33 


3691 


5 6( 


4-'7 


I0?3 


4087 


87.59 


U 


1.13 




t.a6 


37^ 17 


^.So 


4.3» 




43.61 


89.90 


U 


1. 17 


1.09 


13° 


3743 


3.98 


4^46 




4444 


9' 3" 


M 


I.30 




il 


3769 


t>-i7 


460 


10.77 


46.36 


948a 


tl 


134 




379a 


638 


475 


ir 13 


48.37 


9742 


e> 


t.lj 


1.19 




38 "3 


6,5a 


489 


11.47 


5048 


too 08 


to 


>3" 






38^ 


6.79 




1..84 


5369 


>o3.Ba 










38 37 




SS2 




SS^oa 


105.6' 


M 


IJ? 


I.** 


'SS 


38.37 




5.39 


13.61 


57 49 


108.47 


U 


'39 


131 


.58 


38^=7 


7 43 


5 55 


.3.9B 


60. 13 


■"-37 


<4 


1.4a 


>34 


1.63 


3807 






'3-35 


6189 


11431 


at 


"43 


..36 


.,63 


37.76 




5.88 


13. ?o 


65.73 


11714 




1-45 


1,37 


1.60 


3733 








68.74 


IXJ.06 






1.37 


I« 


36.73 


815 




'4.24 




.33.67 






136 


106 


35 98 


8-34 


616 


14.40 




"4 97 






'■35 




3507 






14.46 


77.39 






140 


134 


1.63 


3401 






14.46 


8q.1I 


128^58 


71 


'■37 


1,31 


'■59 


3=82 






14.39 




130.03 


Tl 


'■3S 


"=9 


'■57 


3'57 


8,14 


6.14 


14.^8 


8561 


131.46 


TS 


1.31 


i.JS 


1.51 


3037 


307 


6.07 


14.14 


B8.57 


'33 9» 




1.17 




1.4a 


3895 


7.9B 




14.01 




3:;; 




i»3 




'4+ 




7 9S 




'390 


9531 




i.il 


1.13 


.,38 






IS 


1381 


98.87 


,3..„ 


77 


1.13 


1-09 


■■J3 


24.69 


7:83 


1370 


102.6s 


■4".ttt 


n 


1.07 


1.03 


1 :b 


23 95 


7^74 


5 74 


■348 


■06.36 


.■83 


T» 


& 


■94 




20.99 


751 


558 


'309 


109.90 


u 


fis 




iS,86 


7. [6 


546 


12.62 


'13 3' 


144.79 




.77 




91 


16.71 


6.7a 


5-ii 


1190 


110,:;6 


I4S'7 


" 


.60 


-S9 




14-58 


6.3S 


4.80 




119.66 


■45^3a 


M 


.47 


.47 


-59 


"49 


5-69 


45° 


10.19 


131.73 


145.40 


M 


.30 


30 


•39 




5.06 




9.3; 




'4543 


M 


.J3 


^6 


■41 


823 






8.30 


128.64 


145- '7 


Ifl 






■34 


5.87 


383 


347 


6^6 


13093 


144-10 










318 


3.13 


3 '3 




i33.»S 


141.70 












3.58 


»S8 


S-'(- 


133.17 


"37-33 


















'30-35 


'30-3S 


M 
















!"'B7 


!"«? 


M 
















9549 


95-49 


91 
















8344 


B344 






































61.73 


fii^Ti 


















Sa.36 


5"-36 


















44 10 


44-10 


SI 
















36.94 


36-W 


n 
















30^79 


3079 


IM 
















25.56 


2S^56 



British Government Sickness Tables. 



297 



BRITISH GOVERNMENT SICKNESS TABLES. THREE PER CENT. 

MALES, 1876-1880. 
CORRESPONDING MORTALITY VALUES. 



Age. 


D. 


N. 


Age. 


D. 


N. 


6 


86260 


3047000. 


68 


13261 


161770. 


6 


82547 


1964400. 


64 


13610 


149160. 


7 


79214 


1885200. 


66 


11972 


137190. 


8 


7614I 


1809100. 


66 


11346 


125840. 


• 


73303 


173S800. 


67 


10732 


I 151 10. 


10 


70651 


1665100. 


68 


10133 


104980. 


11 


68154 


1597000. 


69 


9546.4. 
8975.1 


95431- 


If 


65782 


1531200. 


60 


86457. 


IS 


63513 


1467700. 


61 


8417.2 


78039. 


14 


61324 


1406400. 


68 


78719 


70168. 


16 


59202 


1347200. 


63 


7338.5 


62829. 


16 


57136 


1290000. 


64 


68177 


56011. 


17 


55118 


1234900. 
1181800. 


66 


6311.3 


49700. 


18 


53139 


66 


5821.6 


43879- 


19 


51213 


1130500. 


67 


5352.4 


38526. 


to 


49358 


108 1 200. 


68 


4904.2 


33622. 


fl 


47584 


1033600. 


69 


4474-5 


29147. 


IS 


45894 


987710. 


70 


4059-4 


25088. 


IS 


44284 


943430. 


71 


3656.1 


21432. 


14 


42745 


900680. 


78 


3263.2 


18169. 


86 


41264 


859430. 


78 


2882.8 


15286. 


86 


39833 


819600. 


74 


25199 


12766. 


87 


38445 


781140. 


76 


2180.9 


10585. 


88 


37095 


744030. 


76 


1871.4 


8713.6 


89 


35781 


708260. 


77 


1595 


71 18.7 


SO 


34503 


673770. 


78 


1352.5 


5766.3 


SI 


33261 


640500. 


79 


11414 


4624.8 


88 


32053 


608440. 


80 


957.17 


3667.7 


88 


30877 


577560. 


81 


795-99 


2871.7 


84 


39733 


547840. 


88 


654.40 


3217.3 


86 


28619 


519220. 


88 


530.05 


1687.3 


86 


37535 


491680. 


84 


432 28 


1264.9 


87 


26481 


465200. 


86 


330.99 


933.94 


88 


25459 


439740. 


86 


25578 


678.16 


89 


24469 


415280. 


87 


195- 14 


483.03 


40 


23509 


391770. 


88 


14715 


335.87 


41 


22581 


369190. 


89 


109.41 


326.46 


48 


21682 


347500. 


90 


79.761 


146.70 


48 


20810 


326690. 


91 


56.449 


90.351 


44 


19962 


306730. 


98 


38.292 


51-959 


46 


19137 


287590. 


98 


24.480 


27.479 


46 
47 


18333 
17549 


269260. 
251710. 


94 
96 


14-445 
7.6660 


13034 
5.3681 


48 


16784 


234930. 


96 


35348 


.48380 


48 


16040 


318890. 


97 


13495 


60 


15316 


203570. 
188960. 


88 


•39658 


.087301 


61 


14612 


89 


.079346 
.0080140 


.0080140 


IS 


13928 


175030. 


100 





Xet Single Premiums. 











Dv-AT 


Wt-OXB 


Vm. 








i 


Wtclii, 


w«v. 


Wtflu. 


W«h^ 


Wftk., 


Wctkt. 


W«ki, 


Wdki. 


U'kIii. 




O-i. 


«.'" 








ai-w. 


swo 


tO-M 


Sl-8». 


i 


ia.« 


^05 


a.35 


r.cB 


.to 


■75 


.48 


.41 


.44 


e 




4.D3 


3.36 


'■'1 


.84 




50 


V 


-46 








344 


I iB 


.87 




5" 


-44 


.48 


* 


13 lO 








.9' 




■3* 


,,6 






13 »I 


4-13 


2 55 




■91 


.89 


56 


.48 


51 




13-30 




a. 60 


■30 


■97 


■91 


58 




-S3 




13-37 


4a6 


367 


iS 




.94 


■59 


■S' 


-55 


It 


13-44 








.98 


.61 


■53 


57 


IS 


>iSo 


436 


»;?a 


1.39 






.63 


.54 


.59 


14 


13.48 




>.B5 


1.43 


107 


Loa 


,6s 


.56 


-.6. 


U 


■3 53 


4 47 


J90 


■47 


1.09 


104 


66 


.57 


,6j 




"3-59 


4-5' 


'1 


1,49 




1.07 


.67 


.58 


.&, 




1361 


♦ S6 


i.Sa 


I.I* 


1.09 


.69 


.60 


.65 


11 


.3.63 


4.6a 




155 


i.iS 




.71 


,61 


.66 


IS 


13.61 


4.65 


3.S 


1.58 


119 


i.'S 


.73 


■63 


.68 


ID 


'3-57 




3.11 


i.fil 






■75 


.65 






>3S6 


4 75 


3'7 


iftl 


m 




.76 


,66 




» 


"3-54 


4S0 


331 


1.67 






.7« 


67 


■73 


SI 


13.5. 


484 


335 


1,70 


1,30 






69 


75 


14 


13.51 


4.89 


3.30 


1.74 


132 


i.zB 


.89 




.77 


St 


13.51 


4 94 


335 


1.77 


134 


130 


-84 


T 


.79 


te 


13.51 


SOS 


340 


1,80 
1.83 


1.37 


;s 


,86 

.SB 


;'4 


-Si 
83 


ss 


■3.54 


5 'I 


3 5' 


1.86 




'39 


.89 


.78 


,85 


ts 


'3 55 


S.'7 






1-45 






.So 


■87 


1* 


13.58 


S-»3 


36a 


1-93 


1,48 


■ '44 


s 


.81 


-^ 


SI 


1360 


5=^ 


367 


1.96 


1.50 




.83 


.91 


ts 


13.61 


5-35 


3-73 




1.53 


150 


.98 


.85 


2 


tt 


1361 


5.40 


378 


3.04 


■ .56 


>.S3 




.88 


** 


13.61 


S.46 


3.84 


a,o8 


i.te 


1.57 


l.ca 


.90 




tt 


1360 


5" 


3-9° 


1 It 


163 


161 


1.05 


93 


tor 


tt 


13.61 
13,60 


it 


39^ 


I'll 


il 


IS 




;^ 


IS 


» 


1360 


S69 




JJ3 








99 


'■09 


ss 


'3-S9 


5 75 


4 '3 




>7S 




1. 14 






40 


.356 


579 


419 


'=P 


1-79 


178 




1.04 


t-M 


41 


1354 


584 




'34 


'.:U 


181 




1,06 


1.17 


4t 


13.S' 


5.B9 




=.38 


I8S 


13 


iq8 


I.9D 


4t 


'3-4^ 


5-93 


4-35 


>43 


189 


190 




\S 


" 


>3.4i 






3.46 






138 


1.14 


*t 


.3.34 


Oo. 


4. 6 


3.49 


197 


1-97 


1.31 


..16 


'-30 


40 


13.37 


da. 




"53 






134 




'33 


47 


13.17 


6,47 


4-;i7 


157 


a,o3 


a,05 


"■37 




1,37 


41 


130a 


6,10 


^t>l 


a 61 


3.07 


3.0} 




i,as 


1.40 






613 


4,67 


;a 




a.13 


'<! 


i,aB 


'■43 


10 


ij-84 


6. IS 


47» 


'■'i 


a 17 


1.46 


I-31 






ia,69 


6,7 


4 77 


STJ 


i.ii 


3.23 


i« 


'■34 


'S« 


» 


H.sfi 


6.1a 


♦.81 


3.76 


a-al 


>.aG 


1.5" 


'37 


'SS 



Net Single Premiums. 



BRITISH GOVERNMENT SICKNESS TABLES. 


THREE PER CENT. 










MALES 


1876-1 


ito. 








UK«Ar<o»-0 


.¥ 




"[.,►, 7 


o^3"^7 


ViA... 


Th,« 




















rtii nu- 


5 


WhIii, 


Wicki, W 




T»»l. 




Second 


Tolml. 








MMl 


43^7. 4 


-ss.' 


fl.M» 


OMm, 


w.rd.. 




~r 


-31 


■ 37 


33 


3366 


1-47 


[04 


2.5' 


B.M 


34-98 




■3" 




34 




"54 


1.08 


2.62 


8.48 


35.31 




■33 


■30 


35 




1. 6a 


1-13 


9.73 


8,B3 


36 "7 




1 


■31 


37 


35.17 






983 


9,19 


37.19 


t 




38 


35-59 


"73 






9.14 


3B08 


10 








"598 


'U 


136 


305 




3893 




■39 






^■^^ 


I 86 




317 




39.78 




.40 


■35 






;ii 


'36 


329 


IP 63 








36 


43 


3701 




3-39 




41.49 


" 


■43 


-3B 


41 


a? 34 


2.04 


"45 


349 


114' 


49.34 


It 


,^ 


39 


46 


>7 64 


ao9 


1.50 


359 


11. Si 


43-05 


16 


■45 




47 




»-i5 


>SS 


3-70 


13.33 


4386 




-46 




48 


aa?g 






3. Be. 


12 bS 


4467 


11 


■47 


4» 




=845 




r63 


390 


13 '3 


4548 




,48 


■43 


51 


bBto 


3 3* 




4.00 


1361 


463' 




-49 




S3 


28^ 


338 


I 73 


4-11 




47.16 




■50 


:J6 


S3 


=9-. 8 


"-45 


1,78 


4-23 


14^60 


4801 




■sa 


■47 


55 


99,43 


251 




4-33 


iS'i 


48,87 




■54 


.4B 


57 


29 6l 


IS7 


i.BB 


4.JS 


'563 


49-76 


U 


-55 


49 


S8 




2&« 


1-93 




16.15 


So-67 


u 


•56 


■ SI 


60 


30.53 


2.71 


'98 


469 


1670 


Si.6a 


M 


-57 






3053 






4.83 




5'-6i 


» 


■59 


■54 


63 


3084 






415 


I7.BS 


53-S4 


SI 


.60 


■55 


65 


3"."5 


2.94 


2 "5 


5-09 


18.46 


S470 




.69 


.57 


67 


31.4B 


3.03 




5-»S 


'907 


5.=; 80 


M 


■63 


■SB 


69 


31.81 


311 




5-39 


1979 


56.92 


ai 


■65 


.6q 


70 


32,14 


320 


'■34 


5 54 


9038 


5S.06 


at 


.67 


.61 


72 


32.4a 


3-39 




S69 


3107 


5914 


91 


.69 


.63 


'i 


32.82 


3-38 




5 85 


a. .78 


60,45 


34 


.70 


■64 


7fi 


3317 


3-17 


2.54 


6d[ 


93.51 


61.69 


at 


■7a 


.66 


78 


335' 


3-57 


161 


fil8 


2326 


69,95 


81 


.74 




So 


3386 


3.67 


2:69 


636 


"4-05 


64.9? 


B7 


.76 


- .7° 


83 


34'i 


377 


2.76 


6.53 


3486 


65.60 


31 


-78 




85 


34.56 


3.87 


9,84 


6.71 


2569 


66.Q6 


n 


.to 


.74 


87 


34 9° 


3'99 




691 


aS,55 


68.36 




■83 


■76 




35^25 








"7 44 


6979 




.BS 


.78 


91 


3558 




in 




aS-36 


71.25 


« 


.87 




94 


35 91 


434 




0939 


72.75 




.89 




17 


3623 




3 '7 




30.33 


74^ 


« 


■91 


.as 1 




3655 


4-S9 


3 37 


7-96 


3' -36 


7587 


4t 


.94 


-87 > 


03 


3685 


479 


3 47 


B.19 


3243 


77-47 






B, ' 




37- "4 


4-85 




8.4* 


33 SS 


79.11 


*7 








3742 






B,66 


3471 


80.79 










37^*9 


S_'3 




8,9, 


35 93 


89 53 






-97 ' 


'5 


3795 






9.16 


37.20 


8431 




l.OJ 


99 I 


'9 


3B^>9 


549 




949 


3853 


86.14 


>1 








38.43 


SS7 




9*9 


39-9> 


8804 


■1 


i-ij 


1.0S t 


»S 


3864 


5-73 


4^ 


9-97 


41.4D 


90.01 



\et Single Premiums. 











T>l-5^T1 


^■. OXT 


Yl*I. 








i 


Wctki. 


W«li, 


W«k>. 


W„k«, 


Wtek>. 


Wetk., 


WHk<. 


Wceki. 


Walr<. 






A. ■ 


»-is. 








K~SO. 


30-84. 


M^ 


~u 


ia.42 


fi.19 


4-BS 


afio 


a. IS 


a.30 


"■5S 


1.40 


'.58 


H 


la.a? 


6.9 


4B9 


I 83 


aaS 


= 34 


159 


143 


Ifa 


U 


"13 


6.ao 


4.93 


1.36 


a 31 


"37 


1.6a 


I J, 


1.66 


M 


"■95 


6-19 


496 


ago 


3 


148 




ISO 


1.70 




■ i.ei 


6- IB 




»93 


a-46 


1.69 


'■53 


11 




M.64 


6 15 


5™ 


»,96 




a.si 






H 


"■« 


6.3 






=■45 


a.56 


!.^ 






M 


1123 


6-10 


s 


3-D I 


a.4i 


3-S9 


'79 


■63 


'-87 




1099 


606 


303 


a SI 




iBi 


..67 


1.9a 


SI 


10.7s 


e.oi 


S-oS 


305 


a.sa 


a-65 


184 


169 




» 


10 Sa 


5 93 


503 


3-oS 


aS3 


a,67 


186 


1-70 


.96 


M 


10. ao 


584 




304 


a. St 


368 


187 






U 


9.8S 


5.74 


494 






a,68 


I 88 






M 




S.6a 


487 






368 


1.83 




B.oa 




i;n 


5.60 








a66 


1.87 


'73 


a.oi 


M 


533 


4-69 


a. 90 


346 




I 8s 




:;S 


«t 


B.43 


5.16 


457 


a84 




3. 57 






TO 


7-97 


496 


4.4a 


a.76 


ila 


351 


1.79 


i.fn 


193 


71 


7S6 


4-75 


426 


a.67 




iH 


"■74 


1,63 


I-8g 


•n 


7.0s 






a.s8 


3M 




1.60 


1.86 


71 


6.64 


4,J9 


391 


347 


a.14 


3.30 


1-65 


'55 


1.80 




6.17 


406 


376 


a.38 


a.o6 


3.33 






'■73 


7» 


SB3 


3B5 


3 5fi 


314 


\-n 




il 




i4 


It 


S43 


3.66 


3-39 


a 13 




1.38 


».S9 




5.06 


3-4° 


316 


1.99 


'fa 




1.39 


'■33 


r.S» 


71 


4.60 


3.13 


a9t 


183 




1.79 


1.30 


1.35 




71 


4=3 


a.Bg 


a.69 


■.65 


l!46 




..19 


"4 


'3< 


N 


377 


a, 59 


>43 


1,46 


1.39 


1:46 


1.07 


1.03 


1 19 


11 


3-4S 


a.3fi 


a 17 


I 37 


1.09 


la* 


9' 


■89 


1.04 


■■ 


3.>e 


a, 17 




1.08 




I.04 


■76 


-73 


■«4 


tl 


a. 95 


a. 00 


'■84 


.91 


■ 71 


-79 


■57 


■57 


.« 


M 


a.83 


'-9S 




-71 


■S» 


-54 


-38 


■38 


-45 


M 




'1' 




.60 


■47 


■54 


-sa 


■3S 


-45 


U 




.Si 






-36 


4" 


3" 


-3» 


.38 






-49 


-47 


-as 


34 


.33 




-'7 




U 




















IS 




















M 




















11 




















M 




















91 




















M 




















It 




















M 








































■■ 




















n 




















1K> 





















Net Single Premiums. 







D.«»...-NH 


-..>.» V 




DU.AT. 




¥«w. 


Thie* 




j 
















A11,D»- 










T0..I. 




fiMond 




.aduV 






8*^ 


J.' 13-<7.' 


<7^^.' 


BMm. 




To . 






G> 


l.t 


1.07 


135 


38 84 


589 


436 


I0.3S 


43.95 


93.04 






110 




39.04 


6.05 




'054 


44 59 


9417 








'35 


39.33 




463 


10.83 


46-3^ 


9638 






116 


'■38 


3941 




476 




48-14 


9S70 






1.19 


141 


39-59 






11,47 


50-05 






'■; 




1.46 


39.76 




5-01 




53.04 


'O360 




!■; 


1. 95 


'50 




60 


S-iB 


13 14 


54-'3 


■06.15 


80 




139 


>SS 


1^0 




533 


13 49 


$V. 


10876 


<1 






'■59 


3906 


7-37 


549 


ia.86 


1 1 1.43 


ra 


"■^ 


134 


1.61 


39.8a 


7 57 


5.6S 


13-33 


61.05 


114-15 


u 


1.4, 


1.36 


1-65 


3970 


7.7B 


5 8, 


'3-59 


§18 


116.93 






'39 




39 4> 


797 


5 97 


'3W 


119.7a 






I 40 




3901 


e,J4 




14.36 


69,33 


13350 




>•! 






3S.49 


Sy. 


i=3 


■4-S3 


73.13 


J»5-I4 


« 




1.41 




37- 13 


S44 


6,31 


14 75 


7S-03 




ea 


'■< 


MO 








^.37 


14-8S 


778s 


139,73 


68 


'■4 


1.35 


1.69 


36 CM 


8.:^3 




1493 


80.57 


131.50 




i^ 


'-37 


167 


348s 


8,50 


6.39 


■489 


8334 


13398 






■ ?4 


1.63 


33^^ 


844 


■SjS 




8.1-87 


134.36 


•71 


<-; 


13a 




3a^37 


B33 


63f> 


14-65 


88-59 


"35 SI 


73 


■*: 


I,J7 


'■55 


30.91 


8.37 


6.31 


14.49 


91.49 


T36.89 


74 






I S' 


3Q.<13 


8.17 


6.17 


1434 


94.6+ 


138-50 


U 








38 1> 


B,i4 


60a 


14 33 


9805 


'40,38 










16.67 




n 


14.11 




Z7 








136 




7:9s 


13-96 


10541 






1.05 


1.38 




7.88 


5.84 




10907 


14608 




":1 


■95 






7.64 


568 


'3 3" 


1I3S3 


147." 


U 


,86 


1,06 




7.36 


5 54 


13 3a 


"S-85 


'4775 


n 


.71 


■75 


.gj 


1D9» 


6.B1 


5*5 


l3o6 


119 03 


147.98 


M 


.6 


■59 


■73 


'4-73 


6.34 


4. 86 


11. 30 


133 .03 


M7-9S 


U 


-♦< 


■47 


.60 


13.61 


5-74 


4 55 


10,39 


134.96 


147.86 




■31 


■30 


.41 


1048 


S-II 


434 


9 35 


137.90 


147-73 




■ 3 


■3" 


■4J 


S.38 


4-3" 


4.06 


8,36 


130-65 


147.31 


U 






■34 


590 


3.86 




7-36 


133-80 


146.06 


n 






'I4 


3- '9 


3^i4 


3- '5 


6.39 


13400 


14348 
"38-89 


u 










3.58 


».58 


5.16 


"33-73 


u 
















»3'69 


"3169 


■0 
















131.36 

108.75 


ioe'75 


91 
















96.. i 


9618 


sa 
















8398 


83-98 


M 
















73-55 


73.5s 


















6a 04 


63,04 


M 
















Sa.S9 


5«-59 


















44^6 


44.36 


n 


















3706 


n 

UM 
















3088 
35 6j 





CONVERSION TABLES. 
INTRODUCTION. 

These tables will enable the actuary to pass from annui- 
ties to single or annual premiums or vice versa. The 
method of using the same is fully described in the text of 
this book. 

These tables were originally published in the Institute 
of Actuaries* Text-Book, Part II., and are reproduced here 
by special permission of the Institute. 

For greater convenience and facility in finding such 
values, the actuary is referred to Orchard's Conversion 
Tables. 



304 



Conversion Table. 



Table I. 

SINGLE PREMIUM CONVERSION TABLE. 
For finding by inspection the Value of A from that of a. 



Valur 
of 
a 



O 
I 

2 

3 
4 

5 
6 

7 
8 



lo 
II 

12 

13 
14 

15 
i6 

17 
i8 

19 

20 
21 
22 

23 
24 

25 
26 

27 
28 

29 

30 



Valuk of a at Various Rates of Intkkest. 



/ = .03 



97087 

94175 
91262 

88350 
85437 

82524 
79612 
76699 
73786 
70874 

67961 
65049 
62136 
59223 
563" 

53398 
50485 

47573 
44660 

41748 

38835 
35922 
33010 
30097 
27184 

24272 

21359 
18447 

15534 
12621 

09709 



X = .035 



96618 

93237 

89855 

86473 
83092 

70710 
76329 

72947 
69565 
66184 

62802 
59430 

56039 
52657 
49275 

45894 
42512 

39130 

35749 
32367 

28986 
25604 
22222 
1 8841 

15459 

12077 
08696 

05314 
01932 

00000 



« = .04 



.96154 
.92308 
.88462 
.84615 
.80769 

.76923 

.73077 
.692^1 

.65385 
.61538 

.57692 
.53846 
.50000 
.46154 
.42308 

.38462 

.34615 

•30769 
.26923 

.23077 

.19231 

.15385 
•11538 
.07602 
.03846 

.00000 



/ = .045 



95694 
91388 
87081 

82775 
78469 

74163 
69856 

65550 
61244 

56938 

52632 

48325 
44019 

39713 
35407 

31 100 

26794 
22488 
18182 
13876 

09569 
05263 

00957 
00000 



/= .05 



.95238 
.90476 

•85714 
.80952 

.76190 

.71429 
.66667 
.61905 

•57143 
.52381 

.47619 

.42857 

•38095 

■33333 
.28571 

.23810 
.19048 
.14286 

•09524 
.0476a 

.00000 



« = .06 



.94340 

.88679 
.83019 

■77358 
.71698 

.66038 
•60377 

.54717 

.49056 

43396 

.37736 

•32075 
•26415 

20755 
15094 

•09434 

.03774 
.00000 



Conversion Table. 



305 



Difference 
of 

a 



.1 
.3 

.3 

•4 
.5 



.6 

.7 

.8 



.01 
.02 

•03 

.04 

.05 

.06 

.07 
.08 
.09 

.001 
.002 
.003 
.004 
.005 

.006 
.007 
.008 
.009 



Table IL 

SINGLE PREMIUM CONVERSION TABLE. 
Table of Differences. 



/ = .03 



.00291 
.00583 
.00874 
.01165 
.01456 

.01748 
.02039 
.02330 
.02621 

.00029 
.00058 
.00087 
.00117 
.00146 

.00175 
.00204 
.00233 
.00262 



.00003 
.00006 
.00009 
.00012 
.00015 

.00017 
.00020 
.00023 
.00026 



DiFFBRBNCB OP A (SuBTRACTIVE). 



/ = .085 



.00338 

.00676 
.01015 

•01353 

.01691 

.02029 
.02367 
.02705 

.03044 
.00034 

.00068 
.00101 

.00135 

.00169 

.00203 
.00237 
.00271 
.00304 

.OC003 
.00007 
.00010 
.00014 
.00017 

.00020 
.00024 
.00027 
.00030 



X = .04 



.00385 
.00769 
.01154 
.01538 
.01923 

.02308 
.02692 

•03077 
.03462 



.00038 
.00077 
.00115 
.00154 
.00192 

.00231 
.00269 
.00308 
.00346 



.00004 
.00008 
.00012 
.00015 
.00019 

.00023 
,00027 
.00031 
.00035 



I = .045 



.00431 
.00861 
.01292 
.01722 
.02153 

.02584 
.03014 

.03445 
.03876 

.00043 
.00086 
.C0129 
.00172 
.00215 

.00258 

.00301 

00344 

.00388 

.00004 
.00009 
.C0013 
.00017 
.00022 

.00026 
.00030 
.00034 
.00039 



/ = .05 



.00476 
.00952 
.01439 
.01905 
.02381 

.02857 

.03333 
.03810 

.04286 

.00048 
•00095 
.00143 
.00190 
.00238 

.00286 

•00333 
.00381 

.00429 



.00005 
.00010 
.00014 
.00019 
.00024 

.00029 
.00033 
.00038 
.00043 



7 = .06 



.00566 
.01132 
.01698 
.02264 
.02830 

•03396 
.03962 
.04528 

•05094 

.00057 
.00113 
.00170 
.00226 
.00283 

.00340 

.00396 

•00453 

00509 



.00006 

.00011 
.00017 
.00023 
.00038 

.00034 
.00040 
.00045 
.00051 



3o6 



Conversion Tadle. 



Table III. 

ANNUAL PREMIUM CONVERSION TABLE. 
For finding by inspection the Value of P from that of 



Value 
of 

a 



o 
I 

a 

3 

4 

5 
6 

7 
8 



zo 

ZI 
12 

H 

15 
i6 

17 

i8 

19 

20 
21 
22 

23 
24 

25 
26 

27 

28 

29 

30 



Valub op P at Various Rates of Iktsrxst. 



1 = .08 



.97087 
.47087 
.30421 
.22087 
.17087 

•13754 
.11373 
.09587 
.08199 
.07087 

.06178 
.05421 
.04780 
.04230 

.03754 

.03337 
.02970 
.02643 
.02351 
.02087 

.01849 
.01633 

.01435 
.01254 

.01087 

•00934 
.00791 
.00659 
.C0536 
.00421 
.00313 



/ = .036 



.96618 
.46618 

•''«9952 
.21618 
.16618 

.13285 
.10904 
.09118 
.07730 
.06618 

•05709 

.04952 
.04311 

.03761 

■03285 

.02868 
.02501 
.02174 

.01882 
.01618 

.01380 
.01164 
.00966 
.00785 
.00618 

.00465 
.00322 
.00190 
.00067 
.00000 



1 = .04 



.96154 
.46IS4 
.29487 

.21154 
.16154 

.12821 



t = .046 



.07265 
.06154 

•o5-«45 
.04487 
.03846 

.03297 
.02821 

.02404 
.02036 
.01709 
.01417 
.01154 

.00916 
.00699 
.0050a 
.00321 
.00154 

.00000 



95694 
45694 
29027 
20694 

15694 

12361 
09980 
08194 
06805 

05694 

04785 
04027 

03386 

02837 

0236Z 

01944 
01576 
01249 

00957 
00694 

004^6 
00339 
00042 
00000 



f = .05 



•95238 
.45238 
.28571 
.20238 
.15238 

.11905 
.09524 

.07738 
.06349 

.05238 

.04329 
.03571 
.02930 
.02381 
.01905 

.01488 
.01121 
.00794 
.00501 
.00238 

.00000 



* = .06 



•94340 

•44340 

.27673 
.19340 

•M340 

.11006 
.08625 
.06840 

.05451 
.04340 

-03431 
.02673 

.02032 

.01483 

.01006 

.00590 
.00222 
.00000 



• • • ■ 



Conversion Table. 



307 



Table IV. 

ANNUAL PREMIUM CONVERSION TABLE. 
Table of Differences. 



DiFPBXBNCB OF P (SuBTRACTIVB). 



V 

> 



o 
I 

3 

3 

4 

5 
6 

7 
8 



10 
II 
12 

13 
14 

• 

16 

17 
18 

19 
20 

31 
22 

23 
24 

25 
26 

27 
28 

29 
30 



A« =1 



.09091 
.03381 
.01075 
.00610 
.00393 

.00374 
.0030I 
.00X54 
.0OI32 
.00099 

.00082 
.00068 
.00058 
.00051 
.00044 

.00039 
.00034 
.00031 
.00027 
.00025 

.00033 
.G003I 
.00019 
.00018 
.00016 

.00015 
.00014 
.00012 
.OOOI3 

.0001 X 

.00010 



A« = .2 



16667 
045*5 

02083 
01 190 

00769 

00538 

00397 
00305 
00341 
00196 

00x63 
00136 
001 16 

OOIOX 

00088 

00077 
00068 
00061 
00055 
00049 

00045 

0004X 
00038 
00035 
00033 

00039 
00027 
00025 
00033 

00032 
O0O2X 



Aa = .8 



22077 
06522 
03030 

01744 
01x32 

00704 
00587 
00453 
00358 
00291 

OO34X 
00303 
00x73 
00x50 
0013X 

001x5 
00x03 
00091 
00083 
00074 

00067 
00063 
00056 
00053 
00047 

00044 
00041 
00037 
00035 
00033 
00031 



Aa = .4 



2857X 

08333 
03921 

03373 

01481 

01043 
00773 

00595 
00473 
00385 

00319 
00368 
00239 
00199 
OOI73 

00x53 
00135 

OOISI 

00108 
00098 

00089 
00082 
00074 
00069 

00063 
00058 

00054 

00050 

00047 
00043 

0004X 



Aa = .6 



33333 
xoooo 

04762 

02778 

OI8I8 

0x383 

00953 

00735 
00585 

00476 

00395 
00333 

00285 
00246 

003I5 

00x89 
00168 
00x51 

00135 

001 32 

OOXIX 
00102 
00093 
00085 
00078 

00072 
00068 
00062 
00058 
00054 
00051 



Aa = .6 


A« = .7 


Aa = .8 


.37500 


.41176 


.44444 
.X4286 


.11538 


.13963 


.05555 


.06306 


.070x7 


.03261 


.03723 


.04167 


.03143 


.02456 


.02759 


.01515 


.01743 


.0x961 


.01x38 


.0x399 


.0x465 


.00873 


.0x006 


.01136 


.00694 


.00803 


.00907 


.00566 


.00654 


.00741 


.00470 


.00544 


.006x6 


.00396 


•00459 


.00520 


.00339 


.00393 


.00446 


.00394 


.00340 


.00386 


.00357 


.00398 


.00338 


.00336 


.00363 


.00298 


.00200 


.00233 


.00364 


.00x80 


.00208 


.00237 


.ooi6x 


.C0187 


.003I3 


.00146 


.00169 


.00193 


.00132 


.00x54 


.00175 


.OOI2X 


.00141 


.00X60 


.00111 


.00129 


.00146 


.00103 


.001x8 


•00X35 


.00094 


.00109 


.00134 


.00087 


.00101 


.00X15 


.0008 X 


.00094 


.00107 


.00074 


.00087 


.00099 


.00070 


.ooo8x 


.00092 


.00065 


.00076 


.00086 


.00061 


.00071 


.ooo8x 



A« = .9 



.47368 

.I55»7 
.07693 

.04593 

.03051 

.03174 
.01638 
.01364 
.01010 
.00826 

.00688 
.00581 
.00498 
.00433 
.00378 

•00333 
.00295 
.00365 
.00238 
.00815 

.00196 
.00179 
.00164 
.00151 
.00139 

.00138 

.00I30 
.00111 
.00103 
.00097 
.00091 



FARR'S HEALTHY MALE LIFE TABLE. 

Introduction. 

The Healthy Male Life Table, which bears the name of 
Dr. William Farr, the late Registrar-General of Great Britain, 
also the author of Census Tables, known as Farr*s No. i, 
I^'arr's No. 2 and Farr's No. 3, represents the mortality in 
the 63 districts of England in which the mortality rate did 
not exceed 17 per 1000 in the census returns. It was first 
published in the Journal of the Institute of Actuaries, Vol. 
IX., in i860. 

The commutation tables at 4 per cent, interest were com- 
puted by Mr. D. J. McG. McKenzie, of the Government Life 
Insurance Department of New Zealand, and published in 
Transactions of the Actuarial Society of America, Vol. III. 

The modified values of q^ by this table were prepared by 
the Committee on Specialized Mortality Investigation of the 
Actuarial Society of America as a standard by which to 
measure the variation in the ultimate mortality, i. e., after 
the fifth year of insurance. 



Farr's Healthy Males Mortality Table. 311 



MORTALITY TABLE. 





w * * 


TX • 


Probability or 




Living 


I 

l-v .__ 


*ROBABILITY OF 


Age 


Livins 


Dying 






Age 


Dying — 






U 


d. ] 


Living 


Dying 


1. 


d> ] 


Jving I 


)>'ing 








P« 


q« 








P« 


q» 





51125 
45358 


5767 


.88720 


.11280 


68 


2809s 


420 


98505 


0149s 


1 


1591 


.96192 
.97823 


.03508 


64 


27675 


435 


.98428 


.0x572 


S 


43767 


953 


.02177 


66 


27240 
26789 


451 


98344 


.01656 


8 


42814 


661 


.98456 


.01544 


66 


467 


•98257 


.0x743 


4 


43153 


532 


.98738 


.01262 


67 


26322 


483 


.98X65 


.0x83s 


§ 


41621 


427 


.98974 


.01026 


68 


25839 
25338 


501 


.9806X 


.01939 


6 


41 194 


341 


.99172 


.00828 


69 


5f* 


.9786X 


.02x39 


7 


40853 


275 


•99327 


.00673 


60 


24796 


587 


■97633 


.oam 


8 


40578 


223 


.99450 


.00550 


61 


24209 


531 


■97394 


.02006 


• 


4C355 


x86 


•99539 


.00461 


68 


23578 


672 


.97150 


.02850 


10 


4016Q 
40008 


x6i 


•99599 


.oafoi 


68 


22906 


7x2 


■96892 


.03x08 


11 


146 


.99635 


.00365 


64 


22194 


752 


.966x2 


:^ 


IS 


39862 


142 


•99644 


.00356 


66 


2x442 


789 


96320 


18 


397ao 


144 


.99638 


.00362 


66 


20653 


826 


.9600Z 


•03999 


14 


39576 


\U 


.99611 


.00389 


67 


19827 


861 


■95657 


.04343 


16 


394M 


•99574 
.99520 


.00426 


68 


18966 


89s 


■9528Z 


.04719 


16 


39254 


186 


.00474 


69 


18071 


926 


■94876 


.05124 


17 


3^863 


205 


99475 


.00525 


70 


17145 


978 


.94436 


.05564 


18 


227 . 


.99416 


.00584 


71 


16x91 


•93960 


.06040 


19 


38636 


V^ : 


99358 


.00642 


78 


15213 


999 


•93433 


.06567 


SO 


38388 


9930s 


.0069s 


78 


142x4 


10x3 


.92873 
.92258 


.07127 


SI 


38121 


272 


99286 


.00714 


74 


13201 


1002 


.07742 


8S 


37849 


277 


.99268 


.00732 


76 


X2X79 


1023 


.91600 


.08400 


S8 


37572 


281 


■99252 


.007^8 
.00762 


76 


XXX56 


xox6 


.90893 
.90138 


.09107 


S4 


37291 


284 


99238 


77 


10x40 


xooo 


.09862 


S6 


37007 


287 


•99225 


.00775 


78 


0x40 
8x63 


977 


.X0689 


S6 


36720 


288 


.99216 


.00784 


79 


943 


.88448 


."552 


S7 


36432 


289 


.99207 


.txr/93 


80 


7220 


in 


.87507 


•12493 


S8 


36143 


290 


.99198 


.00802 


81 


63x8 


.86530 


.13470 


S9 


35853 


291 


99188 


.008x2 


8S 


5467 
4673 


794 


•85477 


.14523 


80 


3556a 


292 


•99179 


.00821 


88 


731 


.84357 


.15643 


81 


3S270 


292 


.99172 


.00828 


84 


3942 


662 


.83206 


•'^ 


8S 


34978 


292 


■99165 


.00835 


86 


3280 


591 


.8x982 


.x8ox8 


88 


34686 


293 


■9915s 


.00845 


86 


2689 


^ 


.80662 


.19338 
•20655 


84 


34393 


293 


.99148 


•°°5l^ 


87 


2169 


^ 


.79345 


86 


34100 


295 


-99135 


.00865 


88 


172X 


•77920 


.22080 


86 


33805 


296 


.99124 


.00876 


89 


1341 


3x6 


.76435 


.23565 


«7 


33509 


298 


.99111 


.00889 


90 


^^ 


257 


•74927 


•25073 


88 


33211 


300 


mi 


.00903 


91 


204 


•73438 


.26562 


89 


329" 


302 


.00918 


9S 


564 


159 


•r??? 


.28191 


40 


32609 


306 


99062 


.00938 


98 


405 


122 


.69876 


•30x24 


41 


32303 


310 


99040 


.00960 


94 


283 


89 


.68551 


•31449 


U 

48 


11?^ 


315 
320 


99015 
98990 


.00985 
.010x0 


96 
96 


194 
129 


6s 
45 


66495 
.65x16 


•33505 
.34884 


44 


313S8 


326 


98961 


.0x039 


97 


84 


31 


•63095 


.36905 


46 


31032 


334 


98924 


.0x076 


98 


53 


21 


.60377 


.39623 


46 
47 


30698 
30357 


341 
350 


98889 
98847 


.OXXXI 

.01153 


99 

100 


32 
19 


1 . 


59375 
5789s . 


.40625 
42x05 


48 


30007 


360 . 


98800 


.0x200 


101 


ZI 


5 


54545 


.45455 


49 


29647 


370 


98752 


.01248 


108 


6 


3 


(^OOOO 


.50000 


60 


^ 


381 . 


98699 


.01301 


108 


3 


z 


66667 


.33333 


61 


394 . 


98636 


.0x364 


104 


a 


z 


50000 


.50000 


IS 


28502 


407 


98572 


.0x428 


106 


I 


z 


00000 z 


.00000 



. Healthy Males Mortality Table. 



»«. 


D, 




S. 


c. 


M. 


». 


~ 


SiUBo 


w^- 


18044931. 


5545-19 


15096-9 


34=695- 




436134 




847»l 


9)5 > 


69 


S75S. 




,0465.0 


841992. 


161US94. 


B080 


72 


3i8Si6. 


» 


3to5i.s 


801527. 


15380610. 


565.00 


^ 


51 


309966. 


* 


3^3=5 


763466. 


■457907s- 


437-27 


48 




i 


S5i:l 


7a7433. 


iSiS 


337.46 
359,13 


6331 
5893 


75 


issi; 




31044.9 


12394952. 


3:iS 


5634.6a 


183939 




296499 


629623. 


1>7J4>85- 


543368 






aa35=.9 


599973- 


11. 04662 


125.66 




172870- 




s»; 




.05O46t;o- 


.04-58 


S'5135 


167593- 


n 


544483- 


SSX: 


Vs'I. 


5046.77 


.63443. 




34897-7 


518495- 


♦955 58 


15739S- 




S3854.S 


493597 


8870093- 


83-156 


4870.30 


153440- 




m8s4.= 


469742- 


837649s- 


85-5" 


478714 


147569- 




31889.6 


446S8B. 


7906753. 


95487 


470163 


14*783. 




»958.o 


424998- 


7459865. 


4611.93 


.38081. 




"056.5 




^34866- 


101. ig 


4S'6 45 


l^f^ 




19.83-9 






10774 


4415 "5 


i» 


■ 8336 = 




6246842: 


113- "8 


430751 


'24537- 


to 


175198 


H6^'. 


5862043, 




4194.33 


130339- 




16718. 8 


338942. 


•'^535580- 


11477 


407716 


.16035: 


H 


15970.6 


312213. 


5»6e38- 


11239 


38^.00 


1..9SS. 




I5»43 9 


296243- 


4894425- 


10962 


107996- 




14548 


=80999. 


4598183- 


■ 06,53 


sss 


IQ4146. 




i3Ba*.o 


»6645.. 


4317184- 


103.53 


ioa»o5. 


IB 


i3»44-5 


35^569- 


;s: 


99-883 


3530-33 


9677.3 




12635.2 


"393=4- 


96-375 


3430-44 


932410 


■1 


1205a 9 


2266B9. 


3558840- 


eis 


333406 


85s,o6 


W 


11496.3 


2.4636, 


333=151- 


3241. C7 


B64765 


aa 
11 


;a 


303140. 
192175. 


3117515- 

»914375- 


86.566 
83-337 


S;M 


t^'. 


*i 


W7D.7S 


IB.7.9. 




80-035 


2981,55 


770.9-3 




9S07,a3 


.7I749- 


2540481. 


77.221 


390153 


740378 




9064.3* 


16M4,. 


3368732. 


74-351 


333439 


71.362 


IS 


864.46 


153177- 


22C649I- 


71-883 




683119 


)« 


8237-" 


'44536- 


r^,3: 


69-353 


65561,9 


K 


78510* 


.3fi«»S. 


S 


aCoelSi 


62883.? 


M 


7481-95 




17724B0, 


3S4'-67 


60375-9 


U 


7129.20 




I&44033- 
1523067. 


63-903 


2476-69 


ilf 




67=2.09 




%-s 


3413.79 




6469.59 


107QM- 


.409231. 


3353.50 






616106 


100574. 


1302.67- 


5S.3"e 


339380 


504903 




5865.76 


^n 


12Q1613. 


Sffi 


3234-47 






558318 




2177.50 






S3l'-64 


82961.5 




54-981 


JI3I.69 




K 


5053.31 


7765.-B 


g|;| 


sa 


1066.71 


4-663.8 


*T 


4B04.W 


7'598.S 


2012.73 




«l 


4566-91 




53-683 






H 


4338-57 
4119.65 


^0 


^l:^ 


53,064 

51-550 


;sj'^ 


33^8 1 




390966 


547684 


59553816 


S>.as8 


iBojii? 


3'»3-4 


H 


3?^.o. 


S0B58.7 


540760-3 


50-913 


I7SI-9' 


SOOSai 



Farr's Healthy Males Mortality Table. 313 



Agt 


D, 


N, 


^. 


""">:. 


M. 


K. 


W 


SJ:S 


47'50,7 


489901.5 


50.518 


170. .oc 


28308,3 




436362 


44a750-S 


50,310 


165043 


36S075 




3150-45 


403074 


399114.6 


^°'tl 


1600,17 


249569 


" 


KS 


37157-0 
341778 


3588073 
331650,3 


is^^ 


x; 




3656.70 


III 


3874734 






SSJ 




3504,98 


356109,3 


S" 5»3 


1400,89 


to 


3357,13 






sa 


'349.37 


■745; 3 


ei 


asia.Bi 


33844^4 




129571 


1610S 9 


SI 


ao7s.J4 


31631,6 


177356,6 


56790 


1240,35 


148.02 




;eg 


■9559 4 


■55735-0 


57-856 


118346 


13570,0 




17683-6 


■361656 


58.756 


1135,61 


133B6.5 




1551, Si 


15830,3 


I [85430 


59.276 


.066.85 




at 


141449 


103731,8 


59-669 


100758 








'2593-3 




59-805 


947908 


9'86,4S 
823854 




13 17 37 


11161,0 




59-775 


888,. 03 


«■ 


iao6,93 


m-'^ 




59-467 




7,^044 


70 


1101.04 


ill 


58909 


76S.B61 


6W2,lt 


71 


999-786 


7535-66 


58068 


709.95" 


5753.25 




|S:3i 


6535 s? 


57-034 


651.884 


5043.30 




3633-61 


3»7o83 


55609 


594.850 


439' -41 




724.670 


4SlI,I3 


36638,23 


53 945 


539.242 


3796.56 




ss 


4096,45 


21817,11 


5..921 


485.297 


325732 


7S 


liHiS 


17730.76 


49-583 


433-376 


377203 




494847 


^367, 7 


46-934 


as 


2338.^ 


7i 


438,690 


;s« 


11379-78 


44.0S2 


■9S1-8S 




368,3.!. 


B987.239 
7023-588 




292.787 


1SI799 


M 


mm 


1595-i4 


37,62a 


251.876 


1325.20 




1383. 10 


5438.349 


34-135 


314.348 


'073-33 




Ily,2B8 


loiB,S4 


4146,145 


30-633 


180.113 


B59076 




180,331 


799 »56 


3137601 


37109 


'49.490 


678.963 




146. -Bg 


6.9-035 


2328.345 


23.606 


122 38, 


539.473 




116961 




1709,320 


30,264 


98.7747 


407-092 


H 


9'-l9S4 
71,5088 


355-875 
J63.676 


"£& 




78.5109 
61.3673 


m 




54.5566 


193.16S 


616,9334 


11*583 


47.1655 


19 


40.8754 


>37-6- 


434-76,8 


9.3616 


35-5836 
36.3210 






30.0417 


96.7356 


387.1538 


7.2437 


85 6911 




al.6435 


66.6939 


.904182 


5-5'79 


19.0783 


59370' 


H 


iS.'S3i 


450504 


'?l:^i6 


4.143a 


'3.5504 


40.3917 




'o.55»5 




3-0565 


9,4076 


26.7413 


M 






4B-90656 




6,35" 




4.&734 


13 I»47 


39,6917a 


r^6 


4.2071 


M 


3.983 ■ 


7-4513 


17,56698 


10023 


3.7015 




»7 


1.8709 


4-4633 


.0.11566 


-6639 


1.6993 


4.0742 


■1 


■3 


3-59»4 


5-65!MO 


-43!^ 


1,0353 


=■3750 




1.4573 


3.06003 


■3574 


.6029 


■.339fi 




■3762 


■79839 


i,60368 


,1523 


■3455 


.7367 


IM 


:^ 


,42319 


:Sl 


:S 


■I93» 


■3913 
,1981 


JM 


.osfl8 


.10393 


■.^ 


,0.69 


0964 


IM 


"SX 


.ojoia 


.0163 


■0319 


.0476 


ia& 


.0163 


.01637 


..,«, 


.015S 


,0156 


.0156 



314 Farr's Healthy Males Mortality Table, 
mortality table. 



Fa. 


■»T«iJL. Mdjjw 


„T„„, 




F^k-bTuili. 


MoD.freD Tmlk. 


*'■':■ Prql 


Hhdily of Ptnb 


■baiiyof 


PtolBbflity oi 


Pn>b>l>Ui<y ol 




j,ij«' r 






Dyin,. 


DTing 


J. 


004*6 
00474 


oo69> 
00696 


H 


■s& 


:^ 








•1 


.MB50 


.01850 




^ss^ 








.03108 


to 


»595 


00717 


U 


M 


:gffl 








M 


•=3999 


.03999 


u 


0073a 


0073a 


87 


■'■4343 


.04343 




00748 


0074S 


U 


-0*719 


.04719 


«t 






SB 


.05124 


^51*4 


,( 


00775 


00775 


70 


■055154 


.05564 


» 


oofej 

">793 


007S4 


7t 


■^ 


.06040 
.06567 


11 










.07117 


ts 


X8l3 




74 




.0774" 


w 




ooSji 


7» 


.0E400 


.oBji. 


■1 


ooSie 


oo8j8 


76 


.09.07 




u 




00S3S 




.09863 


:^ 


n 


0084s 


00845 


7t 


.10689 


.■0689 




C035S 


ooSsa 


71 


.11533 


."S5» 


u 


00865 


00865 


to 


.>»493 


■12493 




00876 


00876 




.13470 


-<3t70 




0Q889 


00S89 


81 


-M5»3 


'.is^ 


It 

M 

40 


00910 
X1938 


™^3 


s 


m 


41 




00960 


»e 


.19338 




4t 


x^5 


00985 


87 
88 


:Sil 


;^5 


44 


01039 


01039 




.33565 


■1336s 


4( 


01076 


01076 


80 


■aS073 


.25073 










! 36561 


.»6s65 


47 




01153 


81 




.38191 


41 








.30124 


.301.4 


4S 


0.J4B 

oii^ 


01348 
01301 
01364 


84 
St 


■3i«9 


■3'449 




OM^ 












01495 


'■533 


88 




■39613 


»4 


0157a 




88 


^o6as 


.406.5 


u 


0.656 


01736 


100 


.43105 


.43105 


«e 


01 743 


0185a 




■454SS 


45455 


»7 


^■835 


01979 


101 


.50000 


■SOOOD 


» 


01939 


osxiS 


108 


.33333 






"'39 


oM6a 


104 
101 


.50000 
1.000000 


.SS 



McCLINTOCK'S ANNUITANTS' MORTALITY 

TABLES. 

Introduction. 

This mortality table was prepared by Emory McClintock, 
Actuary of the Mutual Life Insurance Company of New 
York, and published in the Transactions of the Actuarial 
Society, Vol. V. 

Both tables are graduated by Makeham's first law and with 
the common value, log. c = .04. In consequence, equal age 
formulae may be applied for all combinations. 

The commutation columns were computed by Wendell M. 
Strong, of the actuarial force of the Mutual Life Insurance 
Company, and were published in the Transactions of the 
Actuarial Society of America, Vol. VII. 

These tables have been adopted by the Insurance Depart- 
ment of New York as its standard, and the Department has 
published a very complete set of one life, joint life and sur- 
vivorship annuity values at 3^ per cent, interest. 



\ 



3i6 



McClintock's Annuitant Tables. 



MALE MORTALITY TABLE. 









Probabilitiss op 


Wt%T€*^ i\€ 


A«c. 


. Living 
Is 


Dying 
dz 


Living 
P« 


Dying 

q« 


Mortality 


% A 




7542 


.99245 


.00755 




10 


lOOOOOO 


.00757 


11 


992458 
984948 


7510 


.99243 


•00757 


.00758 


12 


7472 


.99241 


.00759 


.00761 


IS 


977476 


7439 


•99239 


.00761 


.00763 


14 


970037 


7406 


.99236 


.00764 


.00765 


16 


962631 


7378 


.99234 


,00766 


.00760 


16 


955253 


7351 


•99230 


•ooy/o 


.00771 


17 


947902 


7326 


.99227 


•00773 


.00774 


18 


940576 


7306 


.99223 


.00777 


.00778 


19 


933270 


7286 


.99219 


.00781 


.00783 


SO 


925984 


7272 


.99215 


.00785 


.00786 


SI 


9I87I2 


7360 


.99210 


.00790 


.00791 


ss 


9"452 


7252 


.99204 


.00796 


.00796 


S8 


904200 


7247 


.99198 


.00803 


.00802 


S4 


896953 


7248 


.99192 






S6 


889705 


7253 


.99185 


.00815 


■O0815 


S6 


882452 


7262 


.99177 


.00823 


.00633 


S7 


875190 


7278 


.99168 


.00832 


.00831 


S8 


867913 


7299 


•99159 


.008^1 


.00840 


SS 


860613 


7326 


.99149 


.00851 


.008^0 


so 


853287 


7360 


.99137 


.00863 


.00861 


SI 


845927 


7401 


.99125 


.00875 


.00873 


ss 


838526 


7451 


.99111 


.00889 


.00886 


88 


831075 


7508 


.99097 


.00903 


.00900 


84 


823567 


7575 


.99080 


.00920 


.00916 


86 


815992 


7651 


.99063 


.00937 


.00933 


86 


808341 


773^ 


.99043 


.C0957 


.00952 


87 


800603 
792760 


7835 


.99022 


.00978 


•00973 


88 


7946 


.98998 


.01002 


.00995 


89 


784822 


8069 


.98973 


.0102B 


.OIOOO 


40 


776753 


8206 


.08944 


.01056 


.01047 


41 


768547 


8358 


■%l 


.01088 


.01077 


48 


760189 


8536 


.01122 


.OHIO 


48 


751663 


8710 


•^^ • 


.0x158 


.01^6 
.01186 


44 


742953 


8913 


.98801 


.0x199 


41 


734040 


9*35 


.98755 


•01345 


.01339 


46 


724905 


93^ 


.98706 


.01394 


.91277 


47 


715527 


9641 


.98653 


•01347 


.01339 


4S 


705886 


9927 


.98594 


.01406 


.01386 


49 


695959 


10338 


•^^ 


.01471 


.01448 


§0 


685731 


10573 


.98458 


.0154a 


.01517 


61 


675149 


10934 


.^381 


.01619 


.01593 


6S 


664315 


1 1320 


.98296 


.0170A 
.01798 


.01675 


§8 


653895 


11736 


.98203 


.01765 


64 


64iii;9 


I3I79 


.98x00 


.01900 


.01864 


66 


628980 


12649 


.97866 


.oaoii 


.01973 


66 


616331 
603x81 


13150 


.03134 
.00367 


.00093 


67 


13677 


.97586 


.00333 


58 


589504 


14231 


.02414 


.03367 


50 


575273 


148x3 


.97425 


•03575 


.02524 



McClintock's Annuitant Tables, 



317 



MALE MORTALITY TABLE.— CoMt. 




60 

61 

62 

68 

64 

66 

66 

67 

68 

69 

70 

71 

72 

78 

74 

75 

76 

77 

78 

79 

80 

81 

82 

88 

84 

86 

86 

87 

88 

89 

90 

91 

92 

98 

94 

95 

96 

97 

96 

99 

100 

101 

102 

108 

104 

105 

106 



560461 

545046 
539006 
51232s 
494990 

47699s 
458341 
439036 
419100 

398563 
377468 

355871 
333845 
3"480 
288880 
266170 
243488 
320990 

198845 
177232 

156334 

136339 

"7425 

99759 
83488 

68729 
55567 

"I t ^T 
34162 

25873 

I9O9I 

13689 

9512 

6387 
4129 
2561 
I518 

357 

457 

48 

19 

7 

2 

I 
o 



15415 
16040 

16681 

17335 

17995 
18654 

19305 
19936 

20537 
21095 

21597 
22026 
22365 
22600 
22710 
32682 
22498 

22145 
21613 

30898 

19995 
18914 

17666 

16271 

14759 
13162 

1 1523 

t882 
289 
6782 
5402 
4T77 
3125 
2258 

1568 

1043 
661 

400 

227 

132 
60 

29 
12 

5 

I 

I 



Probabilities ok 




•97250 
.97057 

.96847 
.96616 

•96365 
.96089 

.95788 

.95459 
.95100 

.94707 
.94278 
.93811 
•93301 

.92745 
.92138 

.91479 

.90760 

.89979 

.89131 

.88209 

.87210 

.86127 

•84935 
.83689 

.82322 

.80849 

•79264 
.77562 

•75737 
.73786 
.71704 
.69400 
.67139 

•64653 
.62034 

.59283 

•56407 

•53413 

•50313 
.47120 

•43852 
.40528 

.37172 
.33812 
.50000 
.00000 



.02750 
.02943 

•03153 
•03384 

.03635 
.03911 
.04212 

.04541 
.04900 
.05293 
.05722 
.06189 
.06699 

.07255 
.07862 

.08521 

.0(}240 
.10021 
.10869 
.11791 
.12790 

.13873 

•15045 
.16311 

.17678 

•I9I5I 
.20736 

.22438 

.24263 

.26214 

.28296 

.3ot;io 
.32861 

•35347 
.37966 

.40717 

•43593 
.46«;87 

.49687 
.52880 

.56148 
•59472 
.62828 
.66188 

.50000 
1. 00000 



Force of 
Mortality 



.02696 
.02885 
.03092 
.03320 

•03569 
.03842 

.04142 

.04470 

•04830 

.05225 
.05658 

•06133 
.06653 

.07334 

.07850 

.08^36 

.09289 

.10114 

.11019 

.I30II 

.13098 
.14391 

•15598 
.17032 
.18604 
.20338 
.33218 
.34391 
.26563 

•29055 
.3^787 
.34783 
.38067 
.416^ 
.45618 
.49948 
.54696 

.59901 
.656 

.71^ 



3i8 



McClintock's Annuitant Tables. 



FEMALE MORTALITY TABLE. 



Arc. 



Living;. 

1. 



10 
11 
IS 
18 
14 
U 
16 
17 
18 
19 

to 

81 
88 

88 
84 
86 

86 
87 
88 
89 

80 
81 
88 

83 
84 
85 
86 
87 
86 
89 
40 
41 
48 
48 
44 
45 
46 
47 
48 
49 
50 
51 
58 
53 
54 
55 
56 
57 
58 
59 



764223 

753430 
742017 

729946 



Pkobabiutiks op 



Dying. 





£. _ 


xoooooo 


3603 


996397 


3605 


992792 


3608 


989184 


3613 


985571 


36X9 


981952 


3627 


978325 


3637 


974688 


3649 


971039 


3663 


967376 


3680 


963696 


3697 


959999 


3720 


956279 


3744 


952535 


3775 


948760 


3805 


944955 


3842 


94" 13 


3882 


937231 


3927 


933304 


3978 


929326 


4033 


925293 


4096 


921197 


4164 


917033 


4241 


912792 


4324 


908468 


4417 


904051 


4518 


899533 


4630 


894903 


4754 


890149 


4887 


885262 


5036 


880226 


5196 


875030 


5373 


869657 


5565 


864C92 


5776 


858316 


6004 


852312 


6254 


846058 


6524 


839534 


6819 


832715 


7138 


825577 


7483 


818094 


7858 


810236 


8262 


801974 


8697 


793277 


9168 


784109 


9672 


774437 


102x4 




Force of 
Mortality. 



10793 

II413 
12071 

X2772 



99639 
99638 
99637 
99635 
99632 
99630 
99628 

99625 
99623 
99620 
99616 
99612 
99608 
99604 
99599 
99593 
99588 
99582 

99574 
99566 

99557 
99547 
99538 
99527 
99513 
99499 
99486 

99470 

99451 

99431 
99410 

99386 

99360 

99332 
99300 
99266 
09229 
99188 

99143 
99094 
99040 

98981 
98915 

98844 
98767 
98680 
98587 
98485 

98373 
98250 



00361 
oc^6a 
00363 
00365 
06368 



00370 
00372 
00375 



00377 
00380 
00384 
00388 
00392 



00396 
0040Z 
00407 
004x3 
0Q418 
00426 

0Q434 
00443 
00453 
00462 

00473 
OQ487 

0050X 

00514 

00530 

00549 
00569 

00590 

006x4 

00640 

00668 

C0700 

00734 

0077X 

008x2 

00857 
00906 
00960 



01019 
01085 
01 156 
01233 
01320 

01413 

01515 
01627 

01750 



Ux 



.00360 

•00363 
•00365 

.00366 
.00369 

.00371 
•00373 

•00376 
.00379 
.00382 
.00386 

.00390 
.00394 

•00399 

00 404 
.00410 
.00416 

.00423 
.00431 
.00430 
•00448 

.00458 
•00469 

.00481 

. 004 04 
•^^^^ryr 

.00508 

•00524 

.00541 
.00560 

.00581 

.00603 

.00628 

.00655 

.00685 

.00718 

•00754 

.00794 

.OC^ 

.00885 
•00937 

.0X056 
.01125 
.01200 
.01283 

.01373 
.01472 

.01581 

.01700 



McClintock's Annuitant Tables. 



319 



FEMALE MORTALITY T ABl^E- Ctmhtiuid. 









Probabilities of 






LirinK. 
t 


Dying. 
<1b 




Force of 


Ace. 






Mortality. 


^ 


Ix 


Living. 


Dying. 


A^. 








P» 


q« 




60 


7I7I74 


13512 


.98116 


.01884 


.01831 


61 


703662 


14294 


.97969 


.02031 


.0x975 


6S 


689368 


151x6 


.97807 


.02193 
.02368 


.09132 


68 


674252 


15973 


.9763a 


.02304 


64 


658279 


X6866 


97438 


.02562 


.02493 


6§ 


64I4I3 


17790 


.97227 1 .02773 


.03700 


66 


623623 


18737 


•96995 


.03005 


.02928 


67 


60.1886 


19704 


•96743 


•03257 


.03177 


68 


585182 


20680 


.96466 


•03534 
•03837 


.03450 


69 


S645<» 


2x655 


.96163 


•03750 


70 


542847 


22618 


•95834 


.04166 


.04078 


71 


520229 


23552 


•95473 


.04527 


.04438 


72 


496677 


24444 


.95078 


.04922 


•^ 


78 


472233 


25272 


.94648 


.05352 


74 


446961 


26019 


.94178 


.0582a 


.05741 


76 


420942 


26660 


•93667 


.06891 


.0626X 


76 


394282 


27173 


.93109 


.0683a 


77 


367109 


27534 


.92500 


.07500 


•07458 


78 


339575 


27719 


.91837 


.08x63 


.08144 


79 


311856 


27/05 


.91x16 


.08884 


.08897 


60 


284151 


27471 


» 


.09668 


.09722 


81 


256680 


27003 


.10520 


.xo6a7 


88 


229677 


26286 


•88554 


.XI446 


.116x9 


88 


203391 


25318 


•87552 


.12448 


.xa7o6 


84 


178073 


24102 


.86465 


•13535 


.13899 


85 


153971 


2265 X 


.85288 


.14712 


.15206 


86 
87 


131320 
110331 


20989 
19148 


.84018 
.82645 


.15982 

•17355 
.18S54 


.16640 
.x8axa 


88 


91183 


17173 


.8xx66 


.19936 


89 


74010 


I5"7 


•79575 


.20425 


.21826 


90 


58893 


13035 


.77866 


.22x34 


.23899 
.26x71 


01 


45858 


10990 


•7603A 
.74070 


.23966 


98 


34868 


9039 


•25924 


.28663 


08 


25829 


7236 


.71986 


.28014 


•31395 


94 


18593 


5622 


.69762 


.30238 


•34391 


96 


12971 


4228 


.67403 


.32597 


•3767s 


96 


8743 


3068 


.64907 


.35093 


.41277 


97 


5675 


2 141 


.62277 


.37723 


.45226 


98 


3534 


1431 


•5951s 


.40485 


.49556 


99 


2x03 


9x2 


.56628 


•43372 


•54304 


100 


XI91 


552 


•53623 


•46377 




101 


639 


316 ^ 


.50510 


•49490 




108 


323 


170 * 


•47305 


.52695 




103 


153 


86 


'^^^ 


.55976 




104 


67 


40 


.40686 


:i^J 




106 


27 


17 


.37318 




106 


10 


7 


•33944 


.66056 


• • • • 


107 


3 


2 


•30594 


.69406 




108 


I 


I 


.00000 


1. 00000 




109 





• • 

1 


1 







McClintock's Annuitant Tables, 

males-commutation columns-one life, 
three and one-half per cent. 



A(.. 


D, 


N. 


At'- 


I.. 


N. 


10 


70B919 


15697253 
14988334 


BO 


71111-8 


803405.39 




67977a 


ei 


66845.4 


73=263.59 




6si8a 


'.'&t 


BS 


62684.3 


665418.19 








58654.8 


6ca733-89 




59W:j 


13031732 




S47S3-8 


544079-09 




574585 








43834629 


1« 


5509™ 




ee 


4°3993 


IB 


&•» 


;;i^ 


BB 


391017 49 
347215.19 


IS 


4^s^^6 


10271431 


fit 


371*0.4 


306813.89 


ID 


465368 


978698.9 


70 


33966.8 


=69695-49 




+46ido 


933161119 
88755169 




309405 


23573869 




427608 




28044.0 


304788.19 
151463-79 


H 


409861 


B447908.9 




252S0.4 


M 


3^8=7 






^,m 


U 


3764:6 


B^B^.9 


Ti 


SIE 


IS 


3&^So 




78 


17824.2 




3457" 






ISC 


90819 M7 




331=42 


6562253.9 




75189487 


» 


3>734(J 


6=3.011.9 


'■ 


1.701.8 


61601.087 


so 


304C0S 


S913662 9 


BO 


9973-03 
B40335 


49899.387 


SI 


2911^4 


5609654.9 




399=6=57 


■1 


178885 


53184609 


ss 


6992-83 


315=0^7 


M 


267065 


503957S.9 


13 


5739-90 


ass 




"55698 


477^5159 


S4 


4641 23 




=41771) 


45168.7.9 


Bi 


2»i4' 


14148.947 




334284 


427=038-9 


BB 


10457-397 






40377549 




75737366 


» 


> 14493 


38 [3560,9 




,654.96 


53653266 


SB 




35990679 


IS 




3710.3666 


40 


.96.B6 


3393905 9 


SO 


863-360 


2499-3266 


11 


■87S49 
1 79337 


31977"9 9 
3010170 9 


St 


598-133 
401-564 


ss 




163526 


=830933 9 


BB 


260 5= 


636,1,957 




2659700.9 


M 


162.728 


375-74757 




156100 


8496174-9 




g«- 






"48945 


33400749 




1154B737 


«7 


.4»46 


11911299 




30.4456 


59.622870 




li5.!^4 


=049083.9 




157120 


29,177270 


«8 


"8975 


1913689.9 


SB 


7.63782 


13 465270 


»a 


.2278. 


;^^'*^ 


ISO 


347724 


5-8274501 


H 


116800 

I110J3 




va 


':» 




i?^!. 




105440 


1434110.9 




:3 

.005^1+ 




3003461 1 




100043 


1328070,9 










948=39 


Iii28aa7.9 






»SI^8i 




89774-7 


1133804 










8488B.3 


1044029.3 










80158.0 


8W.S 








" 


75577.6 









McClixtock's a NX LI tan t Tablks. 



321 



FEMALES— COMMUTATION COLUMNS— ONE LIKE. 
THREE AND ONE-HALF PER CENT. 



Age. 

10 
11 
12 
13 
14 
15 
16 
17 
18 
19 

20 
21 
22 
23 
24 
25 
26 
27 
28 
29 

30 
31 
32 
33 
34 
35 
36 
37 
38 
39 

40 
41 
42 
43 
44 
45 
46 
47 
48 
49 

50 
51 
52 
53 
54 
55 
56 
67 
58 
59 



n. 



708919 
082478 

657013 
632488 

608868 
5861 18 
564206 
543100 
522770 
503186 

484321 
466147 

448639 
431770 

415516 

3^^855 

3S4762 

370218 

356199 

342687 

329662 
317104 
304996 

293319 
282058 

271 194 

260714 

250601 

24084 I 

231418 

22232 Z 

213535 
205047 

196845 

188917 

l8l2S2 

173838 
160664 
159720 
152996 

146482 
I4OI7O 
134049 
I2SIII 
122348 

116753 
III3I7 
106033 
100806 
9539S. 



Ni 


Arc. 


171 12298 


GO 


16403379 


61 


15720901 


62 


15063888 


63 


14431400 


64 


13822532 


65 


132364 14 


66 


12672208 


67 


1212Q108 


68 


I 1606338 


69 


11103152 


70 


10618831 


71 


10152684 


72 


97040447 


73 


9272274.7 


74 


8856758.7 


75 


8456903.7 


76 


8072 141. 7 


77 


7701923.7 


78 


7345724.7 


79 


7003037.7 


80 


66733757 


81 


6356271.7 


82 


6051275.7 


83 


575795«5-7 


84 


5475898.7 


85 


5204704.7 


86 


4943990.7 


87 


4'J93389-7 


88 


4452548-7 


89 


422 II 30. 7 


90 


39988ocy.7 


91 


3785274.7 


92 


3580227.7 


93 


3383382.7 


94 


3194465.7 


95 


30132 13. 7 


96 


28393757 


97 


26727 II 7 


98 


2512991 7 


99 


23599957 


100 


2213513-7 


101 


20733437 


108 


I93(i294 7 


103 


1811183.7 


104 


1688833.7 


106 


1572082 7 


106 


1460765.7 


107 


1354732 7 


108 


1253836.7 


109 



l\ 



I 



91034.0 
862984 
81686.3 

771935 
72816.1 

(•8551.2 

64396.1 

60349.0 

56408.8 

52575-3 

48848.7 

45230.4 
41722.4 

383275 
35049.6 

3I8Q3.I 
28862.9 

259650 
23205.3 
20590.5 

I8I26.8 
15820.6 
13677.6 
II702.6 

9899-39 

8270.06 
6814.91 

5532-08 

4417 39 
3464.17 

2663 40 
2003.75 
1472 02 

1053-.S3 
732747 
493.892 

321.638 
201.706 
121.368 
69.7897 

38.1839 
19.7827 
9.65440 

4.41257 
1.87688 

.737823 

.266031 

.0872482 

.0257902 

.000802573 



II 57938.6 
1066904.6 

080006.18 

898919.88 

821726.38 

7489T0.28 

680359.08 

^15962. 98 

555613-98 
499205.18 

446629.88 
397781.18 

352550.78 
310828.38 
272500.88 
237451.28 
205558.18 
1:6695.28 
150730.28 
127524.98 

106934.4S 
88807.675 
72987.075 

59309475 
47O06.875 

37707.485 

29437.425 

22622.515 

17090435 
12673.045 

9208.8749 

65454749 
4541.7249 

3o(>9 7049 

2016.1749 

1283.4279 

78<v.53585 
467.89785 
266.191S5 
144.82385 

75.034145 
36.850245 
17067545 
7.41314 o 
3.0005750 
1. 1236950 
.38587197 
. 1 1984097 
.03259277 
.006802573 



322 



McClintock's Annuitant Tables. 



MALES-JOINT LIFE COMMUTATION COLUMNS— EQUAL AGES. 

THREE AND ONE-HALF PER CENT. 



Age. 



10 
11 
12 
18 
14 

16 
16 
17 
18 
19 

80 
81 
88 
88 
84 

86 
86 
87 
88 

89 

30 
81 
88 
88 

84 

86 
86 
87 
88 
89 

40 
41 
48 
43 
44 

46 
46 
47 
48 
49 

60 
61 
68 
63 
64 



D„ 



7089200 
6746500 
6430100 
6109200 
5813100 

5531100 
5262500 

5006600 

4762800 

4530500 

4309200 
4098400 
3897400 
3706000 
3523500 

3349500 
3183700 
3025600 
2874900 
2731200 

2594100 
2463300 
2338500 

22I95CX> 

2105900 

1997400 

1893800 

1794900 

1700400 
I6I0200 

1523900 

144 I 400 

1362500 

I287IOO 
1214900 

II45800 
1079700 
I 01 6400 

955720 

897610 
841940 

788570 
737430 

688410 
641430 



N 



II 



134323400 
I27I34200 
1203S7700 
II3067600 
107858400 

102045200 

96514090 

9I25I6CO 
86245030 

81482240 

7695I7IO 

72642490 
685441 10 
64646670 
60940700 

57417230 
54067700 
50884000 

47858370 
44983480 

42252330 

39658270 

37194990 
34856470 
32637000 

3053 II 60 

28533790 

26639980 

24845070 
23144640 

21534480 

20010600 
18569190 
17206660 

15919560 

14704640 

13558800 

I2479IOO 
11462720 
10506990 

9609380 

8767447 
7978876 
7241448 

6553037 



Age. 



66 
66 
67 
68 
69 

60 
61 
68 
63 
64 



D„ 



80 
81 
82 
83 
84 

85 

86 
87 
88 
89 

90 
91 
92 
93 
94 

96 
96 
97 
98 
99 



596420 
553310 
512030 

472530 
434700 

398720 

364330 
331600 
300500 
271030 



66 


243170 


66 


216930 


67 


192310 


68 


169310 


69 


147950 


70 


128210 


71 


IIOIIO 


72 


93624 


78 


78743 


74 


65441 


76 


53677 


76 


43400 


77 


34541 


78 


27020 


79 


20739 



15591 

11457 
82II.3 

5726.1 

3874.8 

25372 

1602.4 
972.68 

56536 

3>333 

164.82 
81.879 
38.200 
16.637 
6.7192 

2 4982 
.84829 

.26077 

.071881 

.017580 



N 



zz 



591 16 a 

5315179 
4761870 ^ 

4249840 
3777305 

3342528 
2943806 
2579468 
2247864 
1947361 

1676335 
1433168 
1216241 
1023933 
854619.3 

706671.0 
578457.2 
468348.9 

3747253 
295981.9 

230540.9 
176863.6 

1334639 
9892259 

71902.80 

51163.48 

35572.19 
24115.12 

I59<^- 77 
10177.69 

6302.845 
3765.683 
2163.332 
1190.652 
625 2907 

311-9579 
147 1357 
65.25760 

27.05753 
10.42053 

3-701338 
1.203126 

•3548349 

.09406176 

.02218056 



McClintock's Annuitant Tables. 



FEMALES-JOINT LIFE COMMUTATION COLUMNS-EQUAL AGES 

THREE AND ONF.-[iALF PER CENT 



*(■«, 


D.. 


n.. 


«■' 1 "•■ 


M.. 


10 


IS 


155003400 
147916300 
141116100 


i 


Q04170 
748670 


7839538 
7090S&3 


i; 


57554™ 
5519800 

sops™ 


105767300 
1D069IOOQ 


63 


65=870 
S63™ 

5«4Bo 
479340 


5737985 

4047139 


I 


4667^00 
4290300 
394ajCB 


95833300 
78377520 


:: 


439690 

365040 
330100 
396790 


3567806 

2736521 
3361479 
3031385 


i 


346<*» 
33?45«> 
3184700 


74335660 


;: 


265170 
335300 


I7MS96 
1469433 

8459003 


!1 


3050400 

3677400 
3563400 


56957370 

4iTB887o 
43511480 


;; 


6,313 


689342.1 

367070.3 


as 


24517™ 
3345™ 


42949070 
40497340 
38153130 
35909490 
33765650 


i 


^^1 

.7638 


303B57 7 
1S13S0.1 

7933747 
5553539 


u 


17B3300 


31716990 
39760070 
37891570 


ss 

It 


"734 
B9493 
6103,7 

3563-8 


37897.35 
25163.77 

6083901 


41 


1544800 
1470800 
1399=00 


23785940 

19770340 
18371130 
17041130 


ao 

M 

ta 


1568.6 
9ia.BS 

51336 
273.11 
136.3, 


3519063 
1950.497 
1031.617 
518.3557 
346,3^31 


GS 


.158400 
1135700 

10.6300 
9S9340 


1577B020 
14579650 


n 


64.063 
38.120 
11446 
4.3B90 
1,4678 


lil 



324 



McClixt()CK*s AxNfiTAXT Tables. 



MALE AND FEMALE-JOINT LIFE COMMUTATION 

EQUAL AGES. 

THREE AND ONEHALF PER CENT. 



COLUMNS— 



Age 


D.. 


Ns> 


Age 


I)« 


Nt> 


10 


7089200 


143859400 


55 


734350 


7809844 


11 


6773300 


136770200 


56 


68tx)8o 


7075493 


18 


6471300 


129996900 


57 


639570 


6389414 


13 


6182400 


123525700 


58 


594790 


5749840 


14 


5906200 


"7343300 


59 


551670 


S155055 


15 


56.^100 


111437000 


60 


510210 


4603379 


16 


5389600 


105794900 


61 


470370 


4093169 


17 


51480CO 


100405300 


62 


432130 


3622803 


18 


4917000 


95257240 


63 


395490 


3190678 


19 


4696100 


90340200 


64 


360430 


2795196 


20 


4484800 


85644110 


65 


326990 


2434764 


81 


4282500 


81159380 


66 


295150 


2107778 


22 


4089100 


76876820 


67 


264950 


1812625 


23 


3904100 


72787700 


68 


236410 


1547671 


24 


3727000 


68883630 


69 


209550 


1311261 


25 


35575UO 


65156650 


70 


184390 


I 101716 


26 


3395300 


61599120 


71 


160960 


917328.0 


27 


3240100 


58203780 


72 


139290 


756366.3 


28 


3091500 


54063670 


73 


I 19380 


617078.2 


29 


2949200 


51872170 


74 


101250 


4976956 


30 


2812900 


48922960 


75 


84890 


396444.1 


31 


2682400 


46110000 


76 


70277 


3"554-5 


32 


2557500 


43427530 


77 


57380 


241276 8 


33 


2437700 


40870070 


78 


46142 


183896.8 


34 


2323000 


38432370 


79 


36493 


1377542 


35 


2212900 


36109440 


80 


28339 


101261 3 


86 


2107500 


33896510 


81 


2i:i70 


72921.85 


37 


1 2006300 


31789050 


•82 


16861 


5135314 


38 


1909300 


29782730 


83 


11675 


35292.20 


39 


1816200 


27873430 


84 


8264.8 


23617.76 


40 


1726900 


26057200 


85 


56839 


15352.99 


41 


164 1 100 


24330320 


86 


3786.8 


9^)69073 


42 


1558700 


22689210 


87 


3436.6 


5882 259 


43 


1470600 


21130460 


88 


15090 


3445.689 


44 


1403600 


19650850 


89 


896.29 


1936.639 


45 


1330500 


18247280 


90 


508.46 


1040.350 
531.8869 


46 


1260200 


169 16820 


91 


374.29 


47 


1192500 


15656660 


92 


140.03 


257.5948 


48 


II 27400 


14464140 


93 


67.384 


117.5711 


49 


1064800 


13336700 


94 


30.256 


50.28709 


50 


1004500 


12271910 


95 


13.651 


20.03126 
7.380604 


51 


946360 


II 267440 


96 


4.8838 


52 


890370 


10321090 


97 


1.7277 


2.496596 


53 


836430 


9430719 


98 , 


.55525 


.7689428 


54 


784450 


8594290 


99 1 

1 


.X6064 


.2136925 



MtCi-iNTucK's A.v.m:itant Tabmis. 325 

JOINT I,IVBS— ANNUITIES FOR JOINT LIVES. 
Number of yean to bit added lo Ihe yourger of Two Joint Lives to obtain tbe 



Two Mala w.i, ,u, F,„..i,.l.,. 
otTwo ouei. oldl., 



7509 ■ 
8.^34 , 
8.976 ' 



13-337 ' 
14-315 . 
15.104 



23 '.» ' =4-379 



J5.030 



J8.B6I 


30,166 


=7-379 


19.828 




38,33; 


3°-7W 


3J.M7 


29-ayS 


3".;«9 


33™.=; 


30.J5B 


3»-744 


34-076 


31235 


33 7" 


35,058 


3a.iW 


34-'Vi 


36.043 


33- "66 


35-679 


37-027 




3fi.66i 


18.013 


35-117 


ar-iMs 


39.001 


36.093 


38.630 


'9.989 


37-076 


39.6.6 


40.979 


38.058 


40.604 


4 1. 1170 


39,042 



46-953 

47-94° 

48.939 
49-933 



ft 



l'^'