^- '0--
^. !>''■ i^>- ,>- .- - - ^ ■• AM. iaS!
.^^,t |
•■■■*'"'l |
M.m |
""# ' |
1^ •. |
f |
^r # # % 0 fe . ^' '
t^/- 1
^. m a
^ Z^'- il^f'^
» ^'
m^ m
Sig.'-' I^'S»' '-% --.-T?- -■=•:.,,
■^ ^;,. J
f*;" %■ &
^ ^ ^y ^
\' i>/' s'lir*
.i- . # m
M li
m #
^■-^t' 1:
W !■
'^!::'- ft- 1' ^
^: '■ ^' ^ #: m
^r *■
./#:;i;;^i^t^^^
. '^^ >^' ■ "- &' -^^ . ■
'm:' ^^
%' B fB-
^:^ ■•*<'.
.^r''#'%"#'^V#,, P,
■M: ^^ ^*
' -s '*^ ifr.^
# #V p
Jfe M- #t & 1-
UC-NRLF
B 3 111 SMO
ABLES OF
fk^mpouiid Interest Functions
,nb I and
G slB Logarithms of impound Interest Functions
JAMES W. GLOVER
HARRY C. CARVER
s.
CNJ CO
CM
CO
o
>-
GEORGE WAHR; PUBLLSHER
P^
TABLES
of
Compound Interest Functions
and
Logarithms of Compound Interest Functions
"b«f
Ba
JAMES W. GLOVER
Professor of Mathemalics and Insurance, University of Michigan
and
HARRY C. CARVER
Associate Professor of Mathematics and Insarnnce^ University of Michigan
r ■ I
"b-f
ANN ARBOR, MICHIGAN
George Wahr, Publisher 1921
Engineering Library
"^v
ve...
Copyright 19'21 By GEORGE WAHB
MILLARD PRESS Ann Arbor
PREFACE
THESE tables are intended to be used in connection with college texts on the mathematics of investment and finance. Bankers, engineers, and actuaries will also find them of ser- vice in compound interest calculations.
Fourteen tables of values of compound interest functions are given, eight of which are expressed in natural numbers and six in logarithms. The natural numbers are given to eight and the logarithms to seven places of decimals. They are given for 100 years or periods and for the following sixteen rates of interest: 1%, 1M%, 13^%, 1M%, 2%, 2M%, 23^%, 2H%, 3%, 33^%, 4%, 41^%, 5%, 53^%, 6%, 7%. These rates will be found to cover most of the financial transactions occurring in practice.
The auxihary tables VI, VII, VIII, IX, X, XI, will be found very useful in connection with calculations involving frequent interest conversions and installment payments.
The logarithmic tables are designed to facilitate the work of computation where arithmometers are not available; they may also be employed to familiarize the student with the use of logar- ithms.
Ann Arbor, Michigan James W. Glover
September, 1921 Harry C. Carver
458630
> 1 1, 3 ' ' '
' ' ^ 1 ' V ' '
1 ■>■,■>■> ■> 'I'l-^l'
TABLE OF CONTENTS
VALUES OF COMPOUND INTEREST FUNCTIONS
Amount of 1 at Compound Interest Page TABLE I. (1+i)" 8
Present A alue of 1 at Compound Interest
TABLE IL t"= (1+i)-" 16
Amount of 1 per Annum at Compound Interest
TABLE in. s__ = [(1+i)"— l]/i 24
ji)
Present Value of 1 per Annum at Compound Interest
TABLE IV. a_ = (1 +v")/i 32
nj
Annuity Whose Present Value atXompound Interest Is 1
TABLE V. a_ =i/(l— i") 40
Amount of 1 at Compound Interest for Fractional Periods
TABLE VI. (l+i)i/P 48
Nominal Rate of Interest ./ with Frequency of Conversion p Corresponding to Effective Rate of Interest i
TABLE VIII. j(p) =p[(l+i)i/P— 1] 50
Amount at End of Year at Compound Interest of p Installments Each of 1/p Deposited at End of Each pth Part of Year
TABLE X. s(p)=i/j(„. 52
il ^^'
LOGARITHMS OF VALUES OF COMPOUND INTEREST FUNCTIONS
Logarithm of Amount of 1 at Compound Interest
TABLE XII. log (1+i)" 54
Logarithm of Amount of 1 per Annum at Compound Interest
TABLE XIII. logs^ 62
n\
Logarithm of Present Value of 1 per Annum at Compound Interest
TABLE XIV. loga^ 70
n\
Logarithm of Amount of 1 at Compound Interest for Fractional Periods
TABLE VII. log (l+i)l/P 49
Logarithm of Nominal Rate of Interest j with Frequency of Con- version p Corresponding to Effective Rate of Interest i
TABLE IX. fog j(p) 51
Logarithm of Amount at End of Year at Compound Interest of p In- stallments Each of 1/p Deposited at End of pth Part of Year
TABLE XI. log sip) 53
il
7
Amount of 1 at Compound Interest
TABLE I. |
t- (l + i)" |
||||
n |
1% |
1 \^f ■ |
1 l^o/ |
1%% |
n |
1 |
1.0100 0000 |
1.0125 0000 |
1.0150 0000 |
1.0175 0000 |
1 |
2 |
1.0201 0000 |
1.0251 5625 |
1.0302 2500 |
1.0353 0625 |
2 |
3 |
1.0303 0100 |
1.0379 7070 |
1.0456 7838 |
1.0534 241 1 |
3 |
4 |
1.0406 0401 |
1.0509 4534 |
1.0613 6355 |
1.0718 5903 |
4 |
5 |
1.0510 1005 |
1.0640 8215 |
1.0772 8400 |
1.0906 1656 |
5 |
6 |
1.0615 2015 |
1.0773 8318 |
1.0934 4326 |
1.1097 0235 |
6 |
7 |
1.0721 3535 |
1.0908 5047 |
1.1098 4491 |
1.1291 2215 |
7 |
8 |
1.0828 5671 |
1.1044 8610 |
1.1264 9259 |
1.1488 8178 |
8 |
9 |
1.0936 8527 |
1.1182 9218 |
1.1433 8998 |
1.1689 8721 |
9 |
10 |
1.1046 2213 |
1.1322 7083 |
1.1605 4083 |
1.1894 4449 ' |
10 |
11 |
1.1156 6835 |
1.1464 2422 |
1.1779 4894 |
1.2102 5977 |
11 |
12 |
1.1268 2503 |
1.1607 5452 |
1.1956 1817 |
1.2314 3931 |
12 |
13 |
1.1380 9328 |
1.1752 6395 |
1.2135 5244 |
1.2529 8950 |
13 |
14 |
1.1494 7421 |
1.1899 5475 |
1.2317 5573 |
1.2749 1682 |
14 |
15 |
1.1609 6896 |
1.2048 2918 |
1.2502 3207 |
1.2972 2786 |
15 |
16 |
1.1725 7864 |
1.2198 8955 |
1.2689 8555 |
1.3199 2935 |
16 |
17 |
1.1843 0443 |
1.2351 3817 |
1.2880 2033 |
1.3430 281 1 |
17 |
18 |
1.1961 4748 |
1.2505 7739 |
1.3073 4064 |
1.3665 31 11 |
18 |
19 |
1.2081 0895 |
1.2662 0961 |
1.3269 5075 |
1.3904 4540 |
19 |
20 |
1.2201 9004 |
1.2820 3723 |
1.3468 5501 |
1.4147 7820 |
20 |
21 |
1.2323 9194 |
1.2980 6270 |
1.3670 5783 |
1.4395 3681 |
21 |
22 |
1.2447 1586 |
1.3142 8848 |
1.3875 6370 |
1.4647 2871 |
22 |
23 |
1.2571 6302 |
1.3307 1709 |
1.4083 7715 |
1.4903 6146 |
23 |
24 |
1.2697 3465 |
1.3473 5105 |
1.4295 0281 |
1.5164 4279 |
24 |
25 |
1.2824 3200 |
1.3641 9294 |
1.4509 4535 |
1.5429 8054 |
25 |
26 |
1.2952 5631 |
1.3812 4535 |
1.4727 0953 |
1.5699 8269 |
26 |
27 |
1.3082 0888 |
1.3985 1092 |
1.4948 0018 |
1.5974 5739 |
27 |
28 |
1.3212 9097 |
1.4159 9230 |
1.5172 2218 |
1.6254 1290 |
28 |
29 |
1.3345 0388 |
1.4336 9221 |
1.5399 8051 |
1.6538 5762 |
29 |
30 |
1.3478 4892 |
1.4516 1336 |
1.5630 8022 |
1.6828 0013 |
30 |
31 |
1.3613 2740 |
1.4697 5853 |
1.5865 2642 |
1.7122 4913 |
31 |
32 |
1.3749 4068 |
1.4881 3051 |
1.6103 2432 |
1.7422 1349 |
32 |
33 |
1.3886 9009 |
1.5067 3214 |
1.6344 7918 |
1.7727 0223 |
33 |
34 |
1.4025 7699 |
1.5255 6629 |
1.6589 9637 |
1.8037 2452 |
34 |
35 |
1.4166 0276 |
1.5446 3587 |
1.6838 8132 |
1.8352 8970 |
35 |
36 |
1.4307 6878 |
1.5639 4382 |
1.7091 3954 |
1.8674 0727 |
36 |
37 |
1.4450 7647 |
1.5834 9312 |
1.7347 7663 |
1.9000 8689 |
37 |
38 |
1.4595 2724 |
1.6032 8678 |
1.7607 9828 |
1.9333 3841 |
38 |
39 |
1.4741 2251 |
1.6233 2787 |
1.7872 1025 |
1.9671 7184 |
39 |
40 |
1.4888 6373 |
1.6436 1946 |
1.8140 1841 |
2.0015 9734 |
40 |
41 |
1.5037 5237 |
1.6641 6471 |
1.8412 2868 |
2.0366 2530 |
41 |
42 |
1.5187 8989 |
1.6849 6677 |
1.8688 4712 |
2.0722 6624 |
42 |
43 |
1.5339 7779 |
1.7060 2885 |
1.8968 7982 |
2.1085 3090 |
43 |
44 |
1.5493 1757 |
1.7273 5421 |
1.9253 3302 |
2.1454 3019 |
44 |
45 |
1 1.5648 1075 ! |
1.7489 4614 |
1.9542 1301 |
2.1829 7522 |
45 |
46 |
1.5804 5885 |
1.7708 0797 |
1.9835 2621 |
2.2211 7728 |
! 46 |
47 |
1.5962 6344 |
1.7929 4306 |
2.0132 7910 |
2.2600 4789 |
47 |
48 |
1.6122 2608 |
' 1.8153 5485 |
2.0434 7829 |
2.2995 9872 |
48 |
49 |
1.6283 4834 |
1.8380 4679 |
2.0741 3046 |
1 2.3398 4170 |
49 |
50 |
1.6446 3182 |
1.8610 2237 |
2.1052 4242 |
2.3807 8893 |
50 |
Amount of 1 at Compound Interest
TABLE I.
(1+i)"
n |
1% 1 |
1 VC |
1 Vf' |
1%% |
n |
51 |
1.6610 7814 |
1.8842 8515 |
2.1368 2106 |
2.4224 5274 |
51 |
52 |
1.6776 8892 |
1.9078 3872 |
2.1688 7337 |
2.4648 4566 |
52 |
53 |
1.6944 6581 |
1.9316 8670 |
2.2014 0647 |
2.5079 8046 |
53 |
54 |
1.71 14 1047 |
1.9558 3279 |
2.2344 2757 |
2.5518 7012 |
54 |
55 |
1.7285 2457 ; |
1.9802 8070 |
2.2679 4398 |
2.5965 2785 |
55 |
56 |
1.7458 0982 |
2.0050 3420 |
2.3019 6314 |
2.6419 6708 |
56 |
57 |
1.7632 6792 ' |
2.0300 9713 |
2.3364 9259 |
2.6882 0151 |
57 |
58 |
1.7809 0060 |
2.0554 7335 |
2.3715 3998 |
2.7352 4503 |
58 |
59 |
1.7987 0960 |
2.0811 6676 |
2.4071 1308 |
2.7831 1182 |
59 |
60 |
1.8166 9670 |
2.1071 8135 |
2.4432 1978 |
2.8318 1628 |
60 |
61 |
1.8348 6367 |
2.1335 2111 |
2.4798 6807 |
2.8813 7306 |
61 |
62 |
1.8532 1230 |
2.1601 9013 |
2.5170 6609 |
2.9317 9709 |
62 |
63 |
1.8717 4443 |
2.1871 9250 |
2.5548 2208 |
2.9831 0354 |
63 |
64 |
1.8904 6187 |
2.2145 3241 |
2.5931 4442 |
3.0353 0785 |
64 |
65 |
1.9093 6649 |
2.2422 1407 1 |
2.6320 4158 |
3.0884 2574 |
65 |
66 |
1.9284 6015 |
2.2702 4174 |
2.6715 2221 |
3.1424 7319 |
66 |
67 |
1.9477 4475 |
2.2986 1976 |
2.71 15 9504 |
3.1974 6647 |
67 |
68 |
1.9672 2220 |
2.3273 5251 |
2.7522 6896 |
3.2534 2213 |
68 |
69 |
1.9868 9442 |
2.3564 4442 |
2.7935 5300 |
3.3103 5702 |
69 |
70 |
2.0067 6337 |
2.3858 9997 |
2.8354 5629 |
3.3682 8827 |
70 |
71 |
2.0268 3100 |
2.4157 2372 |
2.8779 8814 |
3.4272 3331 |
71 |
72 |
2.0470 9931 |
2.4459 2027 |
2.921 1 5796 |
3.4872 0990 |
72 |
73 |
2.0675 7031 |
2.4764 9427 |
2.9649 7533 |
3.5482 3607 |
73 |
74 |
2.0882 4601 |
2.5074 5045 |
3.0094 4996 |
3.6103 3020 |
74 |
75 |
2.1091 2847 |
2.5387 9358 |
3.0545 9171 |
3.6735 1098 |
75 |
76 |
2.1302 1975 |
2.5705 2850 |
3.1004 1059 |
3.7377 9742 |
76 |
77 |
2.1515 2195 |
2.6026 601 1 |
3.1469 1674 |
3.8032 0888 |
77 |
78 |
2.1730 3717 |
2.6351 9336 |
3.1941 2050 |
3.8697 6503 |
78 |
79 |
2.1947 6754 |
2.6681 3327 |
3.2420 3230 |
3.9374 8592 |
79 |
80 |
2.2167 1522 |
2.7014 8494 |
3.2906 6279 |
4.0063 9192 |
80 |
81 |
2.2388 8237 |
2.7352 5350 |
3.3400 2273 |
4.0765 0378 |
81 |
82 |
2.2612 7119 |
2.7694 4417 |
3.3901 2307 |
4.1478 4260 |
82 |
83 |
2.2838 8390 |
2.8040 6222 |
3.4409 7492 |
4.2204 2984 |
83 |
84 |
2.3067 2274 |
2.8391 1300 |
3.4925 8954 |
4.2942 8737 |
84 |
85 |
2.3297 8997 |
2.8746 0191 |
3.5449 7838 |
4.3694 3740 |
! '' |
86 |
2.3530 8787 |
2.9105 3444 |
3.5981 5306 |
4.4459 0255 |
86 |
87 |
2.3766 1875 |
2.9469 1612 |
3.6521 2535 |
4.5237 0584 |
87 |
88 |
2.4003 8494 |
2.9837 5257 |
3.7069 0723 |
4.6028 7070 |
88 |
89 |
2.4243 8879 |
3.0210 4948 |
3.7625 1084 |
4.6834 2093 |
89 |
90 |
2.4486 3267 |
3.0588 1260 |
3.8189 4851 |
4.7653 8080 |
90 |
91 |
2.4731 1900 |
3.0970 4775 |
3.8762 3273 |
4.8487 7496 |
91 |
92 |
2.4978 5019 |
3.1357 6085 |
3.9343 7622 |
4.9336 2853 |
92 |
93 |
2.5228 2869 |
3.1749 5786 |
3.9933 9187 |
5.0199 6703 |
93 |
94 |
2.5480 5698 |
3.2146 4483 |
4.0532 9275 |
5.1078 1645 |
94 |
95 |
2.5735 3755 |
3.2548 2789 |
4.1 140 9214 |
5.1972 0324 |
95 |
96 |
2.5992 7293 |
3.2955 1324 |
4.1758 0352 |
5.2881 5429 |
96 |
97 |
2.6252 6565 |
3.3367 0716 |
4.2384 4057 |
5.3806 9699 |
97 |
98 |
2.6515 1831 |
3.3784 1600 |
4.3020 1718 |
5.4748 5919 |
98 |
99 |
2.6780 3349 |
3.4206 4620 |
4.3665 4744 |
5.5706 6923 |
99 |
100 |
2.7048 1383 |
3.4634 0427 |
4.4320 4565 |
5.6681 5594 |
100 |
Amount of 1 at Compound Interest
TABLE I.
(1+i)"
re |
2% |
2h% |
2%% |
re |
|
1 |
1.0200 0000 |
1 1.0225 0000 |
1.0250 0000 |
1.0275 0000 |
1 |
2 |
1.0404 0000 |
1.0455 0625 |
1.0506 2500 |
1.0557 5625 |
2 |
3 |
1.0612 0800 |
1.0690 3014 |
1.0768 9063 |
1.0847 8955 |
3 |
4 |
1.0824 3216 |
1.0930 8332 |
1.1038 1289 |
1.1146 2126 |
4 |
5 |
1.1040 8080 |
1.1176 7769 |
1.1314 0821 |
, 1.1452 7334 |
5 |
6 |
1.1261 6242 |
1.1428 2544 |
1.1596 9342 |
1.1767 6836 |
6 |
7 |
1.1486 8567 |
1.1685 3901 |
1.1886 8575 |
1.2091 2949 |
7 |
8 |
1.1716 5938 |
1.1948 31 14 |
1.2184 0290 |
1.2423 8055 |
8 |
9 |
1.1950 9257 |
1.2217 1484 |
1.2488 6297 |
1.2765 4602 |
9 |
10 |
1.2189 9442 |
1 1.2492 0343 |
1.2800 8454 |
1.31 16 5103 |
10 |
11 |
1.2433 7431 |
1.2773 1050 |
1.3120 8666 |
1.3477 2144 |
1 1 |
12 |
1.2682 4179 |
1.3060 4999 |
1.3448 8882 |
1.3847 8378 |
12 |
13 |
1.2936 0663 |
1.3354 361 1 |
1.3785 1 104 |
1.4228 6533 |
13 |
14 |
1.3194 7876 |
1.3654 8343 |
1.4129 7382 |
1.4619 9413 |
14 |
15 |
1.3458 6834 |
1.3962 0680 |
1.4482 9817 |
1.5021 9896 |
15 |
16 |
1.3727 8571 |
1.4276 2146 |
1.4845 0562 |
1.5435 0944 |
16 |
17 |
1.4002 4142 |
1.4597 4294 |
1.5216 1826 |
1.5859 5595 |
17 |
18 |
1.4282 4625 |
1.4925 8716 |
1.5596 5872 |
1.6295 6973 |
18 |
19 |
1.4568 1 117 |
1.5261 7037 |
1.5986 5019 |
1.6743 8290 |
19 |
20 |
1.4859 4740 |
1.5605 0920 |
1.6386 1644 |
1.7204 2843 |
20 |
21 |
1.5156 6634 |
1.5956 2066 |
1.6795 8185 |
1.7677 4021 |
21 |
22 |
1.5459 7967 |
1.6315 2212 |
1.7215 7140 |
1.8163 5307 |
22 |
23 |
1.5768 9926 |
1.6682 3137 |
1.7646 1068 |
1.8663 0278 |
23 |
24 |
1.6084 3725 |
1.7057 6658 |
1.8087 2595 |
1.9176 2610 |
24 |
25 |
1.6406 0599 |
1.7441 4632 |
1.8539 4410 |
1.9703 6082 |
25 |
26 |
1.6734 181 1 |
1.7833 8962 |
1.9002 9270 |
2.0245 4575 |
26 |
27 |
1.7068 8648 |
1.8235 1588 |
1.9478 0002 |
2.0802 2075 |
27 |
28 |
1.7410 2421 |
1.8645 4499 |
1.9964 9502 |
2.1374 2682 |
28 |
29 |
1.7758 4469 |
1.9064 9725 |
2.0464 0739 |
2.1962 0606 |
29 |
30 |
1.8113 6158 |
1.9493 9344 |
2.0975 6758 |
2.2566 0173 |
30 |
31 |
1.8475 8882 |
1.9932 5479 |
2.1500 0677 |
2.3186 5828 |
31 |
32 |
1.8845 4059 |
2.0381 0303 |
2.2037 5694 |
2.3824 2138 |
32 |
33 |
1.9222 3140 |
2.0839 6034 |
2.2588 5086 |
2.4479 3797 |
33 |
34 |
1.9606 7603 |
2.1308 4945 |
2.3153 2213 |
2.5152 5626 |
34 |
35 |
1.9998 8955 |
2.1787 9356 |
2.3732 0519 |
2.5844 2581 |
35 |
36 |
1 2.0398 8734 |
2.2278 1642 |
2.4325 3532 |
2.6554 9752 |
36 |
37 |
2.0806 8509 |
2.2779 4229 |
2.4933 4870 |
2.7285 2370 |
37 |
38 |
2.1222 9879 |
2.3291 9599 |
2.5556 8242 |
2.8035 5810 |
38 |
39 |
2.1647 4477 |
2.3816 0290 |
2.6195 7448 |
2.8806 5595 |
39 |
40 |
2.2080 3966 |
2.4351 8897 |
2.6850 6384 |
2.9598 7399 |
40 |
41 |
2.2522 0046 |
2.4899 8072 , |
2.7521 9043 |
3.0412 7052 |
41 |
42 |
2.2972 4447 |
2.5460 0528 |
2.8209 9520 |
3.1249 0546 |
42 |
43 |
2.3431 8936 |
2.6032 9040 |
2.8915 2008 |
3.2108 4036 |
43 |
44 |
2.3900 5314 |
2.6618 6444 |
2.9638 0808 | |
3.2991 3847 |
44 |
45 |
2.4378 5421 |
2.7217 5639 |
3.0379 0328 |
3.3898 6478 |
45 |
46 |
2.4866 1129 ' |
2.7829 9590 |
3.1138 5086 |
3.4830 8606 |
46 |
47 |
2.5363 4351 |
2.8456 1331 |
3.1916 9713 |
3.5788 7093 |
47 |
48 |
2.5870 7039 |
2.9096 3961 |
3.2714 8956 |
3.6772 8988 |
48 |
49 |
2.6388 1179 |
2.9751 0650 |
3.3532 7680 |
3.7784 1535 1 |
49 |
50 |
2.6915 8803 |
3.0420 4640 1 |
3.4371 0872 |
3.8823 2177 |
50 |
10
Amount of 1 at Compound Interest
TABLE I.
(1+i)"
n |
2% |
2Ji% |
•^'2 /O |
n |
|
51 |
2.7454 1979 |
3.1 104 9244 |
3.5230 3644 |
3.9890 8562 |
51 |
52 |
2.8003 2819 |
3.1804 7852 |
3.6111 1235 |
4.0987 8547 |
52 |
53 |
2.8563 3475 |
3.2520 3929 |
3.7013 9016 |
4.21 15 0208 |
53 |
54 |
2.9134 6144 |
3.3252 1017 |
3.7939 2491 [ |
4.3273 1838 |
54 |
55 |
2.9717 3067 |
3.4000 2740 |
3.8887 7303 ' |
4.4463 1964 |
55 |
56 |
i 3.0311 6529 |
3.4765 2802 |
3.9859 9236 |
4.5685 9343 1 |
56 |
57 |
3.0917 8859 |
3.5547 4990 |
4.0856 4217 |
4.6942 2975 |
57 |
58 |
3.1536 2436 |
3.6347 3177 |
4.1877 8322 |
4.8233 2107 |
58 |
59 |
3.2166 9685 |
3.7165 1324 |
4.2924 7780 |
4.9559 6239 1 |
59 |
60 |
3.2810 3079 |
3.8001 3479 |
4.3997 8975 |
5.0922 5136 |
60 |
61 i |
3.3466 5140 |
3.8856 3782 |
4.5097 8449 |
5.2322 8827 |
61 |
62 |
3.4135 8443 |
3.9730 6467 |
4.6225 2910 |
5.3761 7620 |
62 |
63 |
3.4818 5612 |
4.0624 5862 |
4.7380 9233 ! |
5.5240 2105 |
63 |
64 |
3.5514 9324 |
4.1538 6394 1 |
4.8565 4464 |
5.6759 3162 |
64 |
65 |
3.6225 231 1 |
4.2473 2588 | |
4.9779 5826 |
5.8320 1974 |
65 |
66 ' |
3.6949 7357 |
4.3428 9071 |
5.1024 0721 |
5.9924 0029 |
66 |
67 |
3.7688 7304 |
4.4406 0576 |
5.2299 6739 |
6.1571 9130 |
67 |
68 |
3.8442 5050 |
4.5405 1939 |
5.3607 1658 |
6.3265 1406 |
68 |
69 |
3.9211 3551 |
4.6426 8107 |
5.4947 3449 |
6.5004 9319 |
69 |
70 |
3.9995 5822 |
4.7471 4140 |
5.6321 0286 |
6.6792 5676 |
70 |
71 |
4.0795 4939 |
4.8539 5208 |
5.7729 0543 |
6.8629 3632 |
71 |
72 |
4.1611 4038 |
4.9631 6600 |
5.9172 2806 |
7.0516 6706 |
72 |
73 |
4.2443 6318 |
5.0748 3723 |
6.0651 5876 |
7.2455 8791 |
73 |
74 |
4.3292 5045 |
5.1890 2107 |
6.2167 8773 |
7.4448 4158 |
74 |
75 |
4.4158 3546 |
5.3057 7405 |
6.3722 0743 |
7.6495 7472 |
75 |
76 |
4.5041 5216 |
5.4251 5396 |
6.5315 1261 |
7.8599 3802 |
76 |
77 |
4.5942 3521 |
5.5472 1993 |
6.6948 0043 |
8.0760 8632 |
77 |
78 |
4.6861 1991 |
5.6720 3237 |
6.8621 7044 |
8.2981 7869 |
78 |
79 |
4.7798 4231 |
5.7996 5310 |
7.0337 2470 |
8.5263 7861 |
79 |
80 |
4.8754 3916 |
5.9301 4530 |
7.2095 6782 |
8.7608 5402 |
80 |
81 |
4.9729 4794 |
6.0635 7357 |
7.3898 0701 |
9.0017 7751 |
81 |
82 |
5.0724 0690 |
6.2000 0397 |
7.5745 5219 |
9.2493 2639 |
82 |
83 |
5.1738 5504 |
6.3395 0406 |
7.7639 1599 |
9.5036 8286 |
83 |
84 |
5.2773 3214 |
6.4821 4290 |
7.9580 1389 |
9.7650 3414 |
84 |
85 |
5.3828 7878 |
6.6279 9112 |
8.1569 6424 |
10.0335 7258 |
85 |
86 |
5.4905 3636 |
6.7771 2092 |
8.3608 8834 |
10.3094 9583 |
86 |
87 |
5.6003 4708 |
6.9296 0614 |
8.5699 1055 |
10.5930 0696 |
87 |
88 |
5.7123 5402 |
7.0855 2228 |
8.7841 5832 |
10.8843 1465 |
88 |
89 |
5.8266 0110 |
7.2449 4653 |
9.0037 6228 |
11.1836 3331 |
89 |
90 |
5.9431 3313 |
7.4079 5782 |
9.2288 5633 |
11.4911 8322 |
90 |
91 |
6.0619 9579 |
7.5746 3688 |
9.4595 7774 |
11.8071 9076 |
91 |
92 |
6.1832 3570 |
7.7450 6621 |
9.6960 6718 |
12.1318 8851 |
92 |
93 |
6.3069 0042 |
7.9193 3020 |
9.9384 6886 |
12.4655 1544 |
93 |
94 |
6.4330 3843 |
8.0975 1512 |
10.1869 3058 |
12.8083 1711 |
94 |
95 |
6.5616 9920 |
8.2797 0921 |
10.4416 0385 |
13.1605 4584 |
95 |
96 |
6.6929 3318 |
8.4660 0267 |
10.7026 4395 |
13.5224 6085 |
96 |
97 |
6.8267 9184 |
8.6564 8773 |
10.9702 1004 |
13.8943 2852 |
97 |
98 |
6.9633 2768 |
8.8512 5871 |
11.2444 6530 |
14.2764 2255 |
98 |
99 |
7.1025 9423 |
9.0504 1203 |
11.5255 7693 |
14.6690 2417 |
99 |
100 |
7.2446 4612 |
9.2540 4630 |
11.8137 1635 |
15.0724 2234 |
100 |
11
Amount of 1 at Compound Interest
TABLE I.
(1+i)"
n |
3% |
3^'/o |
4% |
■*''2/C |
n |
1 |
1.0300 0000 |
1.0350 0000 |
1.0400 0000 |
1.0450 0000 |
1 |
2 |
1.0609 0000 |
1.0712 2500 |
1.0816 0000 |
1.0920 2500 |
2 |
3 |
1.0927 2700 |
1.1087 1788 |
1.1248 6400 |
1.141 1 6613 |
3 |
4 |
1.1255 0881 |
1.1475 2300 |
1.1698 5856 |
1.1925 1860 |
4 |
5 |
1.1592 7407 |
1.1876 8631 |
1.2166 5290 |
1.2461 8194 |
5 |
6 |
1.1940 5230 |
1.2292 5533 |
1.2653 1902 |
1.3022 6012 |
6 |
7 |
1.2298 7387 |
1.2722 7926 |
1.3159 3178 |
1.3608 6183 |
7 |
8 |
1.2667 7008 |
1.3168 0904 |
1.3685 6905 |
1.4221 0061 |
8 |
9 |
1.3047 7318 |
1.3628 9735 |
1.4233 1181 |
1.4860 9514 |
9 |
10 |
1.3439 1638 |
1.4105 9876 |
1.4802 4428 |
1.5529 6942 |
10 |
11 |
1.3842 3387 |
1.4599 6972 |
1.5394 5406 |
1.6228 5305 |
11 |
12 |
1.4257 6089 |
1.5110 6866 |
1.6010 3222 |
1.6958 8143 |
12 |
13 |
1.4685 3371 |
1.5639 5606 |
1.6650 7351 |
1.7721 9610 |
13 |
14 |
1.5125 8972 |
1.6186 9452 |
1.7316 7645 |
1.8519 4492 |
14 |
15 |
1.5579 6742 |
1.6753 4883 |
1.8009 4351 |
1.9352 8244 |
15 |
16 |
1.6047 0644 |
1.7339 8604 |
1.8729 8125 |
2.0223 7015 |
16 |
17 |
1.6528 4763 |
1.7946 7555 |
1.9479 0050 |
2.1133 7681 |
17 |
18 |
1.7024 3306 |
1.8574 8920 |
2.0258 1652 |
2.2084 7877 |
18 |
19 |
1.7535 0605 |
1.9225 0132 |
2.1068 4918 |
2.3078 6031 |
19 |
20 |
1.8061 1123 |
1.9897 8886 |
2.1911 2314 |
2.4117 1402 |
20 |
21 |
1.8602 9457 |
2.0594 3147 |
2.2787 6807 |
2.5202 4116 |
21 |
22 |
1.9161 0341 |
2.1315 1158 |
2.3699 1879 |
2.6336 5201 |
22 |
23 |
1.9735 8651 |
2.2061 1448 |
2.4647 1554 |
2.7521 6635 |
23 |
24 |
2.0327 9411 |
2.2833 2849 |
2.5633 0416 |
2.8760 1383 |
24 |
25 |
2.0937 7793 |
2.3632 4498 |
2.6658 3633 |
3.0054 3446 |
25 |
26 |
2.1565 9127 |
2.4459 5856 |
2.7724 6978 |
3.1406 7901 |
26 |
27 |
2.2212 8901 |
2.5315 6711 |
2.8833 6858 |
3.2820 0956 |
27 |
28 |
2.2879 2768 |
2.6201 7196 |
2.9987 0332 |
3.4296 9999 |
28 |
29 |
2.3565 6551 |
2.7118 7798 |
3.1186 5145 |
3.5840 3649 |
29 |
30 |
2.4272 6247 |
2.8067 9370 |
3.2433 9751 |
3.7453 1813 |
30 |
31 |
2.5000 8035 |
2.9050 3148 |
3.3731 3341 |
3.9138 5745 |
31 |
32 |
2.5750 8276 |
3.0067 0759 |
3.5080 5875 |
4.0899 8104 |
32 |
33 |
2.6523 3524 |
3.1 119 4235 |
3.6483 8110 |
4.2740 3018 |
33 |
34 |
2.7319 0530 |
3.2208 6033 |
3.7943 1634 |
4.4663 6154 |
34 |
35 |
2.8138 6245 |
3.3335 9045 |
3.9460 8899 |
4.6673 4781 |
35 |
36 |
2.8982 7833 |
3.4502 6611 |
4.1039 3255 |
4.8773 7846 |
36 |
37 |
2.9852 2668 |
3.5710 2543 |
4.2680 8986 |
5.0968 6049 |
37 |
38 |
3.0747 8348 |
3.6960 1132 |
4.4388 1345 |
5.3262 1921 |
38 |
39 |
3.1670 2698 |
3.8253 7171 |
4.6163 6599 |
5.5658 9908 |
39 |
40 |
3.2620 3779 |
3.9592 5972 |
4.8010 2063 |
5.8163 6454 |
40 |
41 |
3.3598 9893 |
4.0978 3381 |
4.9930 6145 |
6.0781 0094 |
41 |
42 |
3.4606 9589 |
4.2412 5799 |
5.1927 8391 |
6.3516 1548 |
42 |
43 |
3.5645 1677 |
4.3897 0202 |
5.4004 9527 |
6.6374 3818 |
43 |
44 |
3.6714 5227 |
4.5433 4160 |
5.6165 1508 |
6.9361 2290 |
44 |
45 |
3.7815 9584 |
4.7023 5855 |
5.8411 7568 |
7.2482 4843 |
45 |
46 |
3.8950 4372 |
4.8669 4110 |
6.0748 2271 |
7.5744 1961 |
46 |
47 |
4.01 18 9503 |
5.0372 8404 |
6.3178 1562 |
7.9152 6849 |
47 |
48 |
4.1322 5188 |
5.2135 8898 |
6.5705 2824 |
8.2714 5557 |
48 |
49 |
4.2562 1944 |
5.3960 6459 |
6.8333 4937 |
8.6436 7107 |
49 |
50 |
4.3839 0602 |
5.5849 2686 |
7.1066 8335 |
9.0326 3627 |
50 |
12
Amount of 1 at Compound Interest
TABLE I.
(1 + i)"
n |
• 3% |
1 1 c |
4% |
4J$% 1 |
n |
|
51 |
4.5154 2320 |
5.7803 9930 |
7.3909 5068 |
9.4391 |
0490 |
51 |
52 |
4.6508 8590 |
5.9827 1327 |
7.6865 8871 |
9.8638 |
6463 |
52 |
53 |
4.7904 1247 |
6.1921 0824 |
7.9940 5226 |
10.3077 |
3853 |
53 |
54 |
4.9341 2485 |
6.4088 3202 |
8.3138 1435 |
10.7715 |
8677 |
54 |
55 |
5.0821 4859 |
6.6331 4114 |
8.6463 6692 ' |
11.2563 |
0817 |
55 |
56 |
5.2346 1305 |
6.8653 0108 |
8.9922 2160 |
11.7628 |
4204 |
56 |
57 |
5.3916 5144 |
7.1055 8662 |
9.3519 1046 |
12.2921 |
6993 |
57 |
58 |
5.5534 0098 |
7.3542 8215 |
9.7259 8688 |
12.8453 |
1758 |
58 |
59 |
5.7200 0301 |
7.6116 8203 |
10.1 150 2635 |
13.4233 |
5687 |
59 |
60 |
5.8916 0310 |
7.8780 9090 |
10.5196 2741 |
14.0274 |
0793 |
60 |
61 |
6.0683 5120 |
8.1538 2408 |
10.9404 1250 |
14.6586 |
4129 |
61 |
62 |
6.2504 0173 |
8.4392 0793 |
11.3780 2900 |
15.3182 |
8014 |
62 |
63 |
6.4379 1379 |
8.7345 8020 |
11.8331 5016 |
16.0076 |
0275 |
63 |
64 |
6.6310 5120 |
9.0402 9051 |
12.3064 7617 |
16.7279 |
4487 |
64 |
65 |
6.8299 8273 |
9.3567 0068 |
12.7987 3522 |
17.4807 |
0239 |
65 |
66 |
7.0348 8222 |
9.6841 8520 |
13.3106 8463 |
18.2673 |
3400 |
66 |
67 |
7.2459 2868 |
10,0231 3168 |
13.8431 1201 |
19.0893 |
6403 |
67 |
68 |
7.4633 0654 |
10.3739 4129 |
14.3968 3649 |
19.9483 |
8541 |
68 |
69 |
7.6872 0574 |
10.7370 2924 |
14.9727 0995 |
20.8460 |
6276 |
69 |
70 |
7.9178 2191 |
1 1.1 128 2526 |
15.5716 1835 |
21.7841 |
3558 |
70 |
71 |
8.1553 5657 |
1 1.5017 7414 |
16.1944 8308 |
22.7644 |
2168 |
71 |
72 |
8.4000 1727 |
11.9043 3624 |
16.8422 6241 |
23.7888 |
2066 |
72 |
73 |
8.6520 1778 |
12.3209 8801 |
17.5159 5290 |
24.8593 |
1759 |
73 |
74 |
8.91 15 7832 |
12.7522 2259 |
18.2165 9102 |
25.9779 |
8688 |
74 |
75 |
9.1789 2567 |
13.1985 5038 |
18.9452 5466 |
27.1469 |
9629 |
75 |
76 |
9.4542 9344 |
13.6604 9964 |
19.7030 6485 |
28.3686 |
1112 |
76 |
77 |
9.7379 2224 |
14.1386 1713 |
20.491 1 8744 |
29.6451 |
9862 |
77 |
78 |
10.0300 5991 |
14.6334 6873 |
21.3108 3494 |
30.9792 |
3256 |
78 |
79 |
10.3309 6171 |
15.1456 4013 |
22.1632 6834 |
32.3732 |
9802 |
79 |
80 |
10.6408 9056 |
15.6757 3754 |
23.0497 9907 |
33.8300 |
9643 |
80 |
81 |
10.9601 1727 |
16.2243 8835 |
23.9717 9103 |
35.3524 |
5077 |
81 |
82 |
11.2889 2079 |
16.7922 4195 |
24.9306 6267 |
36.9433 |
1 106 |
82 |
83 |
1 1.6275 8842 |
17.3799 7041 |
25.9278 8918 |
38.6057 |
6006 |
83 |
84 |
11.9764 1607 |
17.9882 6938 |
26.9650 0475 |
40.3430 |
1926 |
84 |
85 |
12.3357 0855 |
18.6178 5881 |
28.0436 0494 |
42.1584 |
5513 |
85 |
86 |
12.7057 7981 |
' 19.2694 8387 |
29.1653 4914 |
44.0555 |
8561 |
86 |
87 |
13.0869 5320 |
19.9439 1580 |
30.3319 6310 |
46.0380 |
8696 |
87 |
88 |
13.4795 6180 |
20.6419 5285 |
31.5452 4163 |
48.1098 |
0087 |
88 |
89 |
13.8839 4865 |
21.3644 2120 |
32.8070 5129 |
50.2747 |
4191 |
89 |
90 |
14.3004 671 1 |
22.1121 7595 |
34.1 193 3334 |
52.5371 |
0530 |
90 |
91 |
14.7294 8112 |
22.8861 0210 |
35.4841 0668 |
54.9012 |
7503 |
91 |
92 |
15.1713 6556 |
23.6871 1568 |
36.9034 7094 |
57.3718 |
3241 |
92 |
93 |
15.6265 0652 |
24.5161 6473 |
38.3796 0978 |
59.9535 |
6487 |
93 |
94 |
16.0953 0172 |
25.3742 3049 |
39.9147 9417 |
62.6514 |
7529 |
94 |
95 |
16.5781 6077 |
26.2623 2856 |
41.51 13 8594 |
65.4707 |
9168 |
95 |
96 |
17.0755 0559 |
27.1815 1006 |
43.1718 4138 |
68.4169 |
7730 |
96 |
97 |
17.5877 7076 |
28.1328 6291 |
44.8987 1503 |
71.4957 |
4128 |
97 |
98 |
18.1 154 0388 |
29.1 175 1311 |
46.6946 6363 |
74.7130 |
4964 |
98 |
99 |
18.6588 6600 |
30.1366 2607 |
48.5624 5018 |
78.0751 |
3687 |
99 |
100 |
19.2186 3198 |
31.1914 0798 |
i 50.5049 4818 1 |
81.5885 |
1803 |
100 |
13
Amount of 1 at Compound Interest
TABLE I.
(1+i)"
n |
o% |
6':c |
7Sc |
n |
||||
1 |
1.0500 |
0000 |
1.0550 0000 |
1.0600 |
0000 |
1.0700 |
0000 |
1 |
2 |
1.1025 |
0000 |
1.1 130 2500 |
1.1236 |
0000 |
1.1449 |
0000 |
2 |
3 |
1.1576 |
2500 |
1.1742 4138 |
1.1910 |
1600 |
1.2250 |
4300 |
3 |
4 |
1.2155 |
0625 |
1.2388 2465 |
1.2624 |
7696 |
1.3107 |
9601 |
4 |
5 |
1.2762 |
8156 |
1.3069 6001 |
1.3382 |
2558 |
1.4025 |
5173 |
5 |
6 |
1.3400 |
9564 |
1.3788 4281 |
1.4185 |
1911 |
1.5007 |
3035 |
6 |
7 |
1.4071 |
0042 |
1.4546 7916 |
1.5036 |
3026 |
1.6057 |
8148 |
7 |
8 |
1.4774 |
5544 |
1.5346 8651 |
1.5938 |
4807 |
1.7181 |
8618 |
8 |
9 |
1.5513 |
2822 |
1.6190 9427 |
1.6894 |
7896 |
1.8384 |
5921 |
9 |
10 |
1.6288 |
9463 |
1.7081 4446 |
1.7908 |
4770 |
1.9671 |
5136 |
10 |
11 |
1.7103 |
3936 |
1.8020 9240 |
1.8982 |
9856 |
2.1048 |
5195 |
11 |
12 |
1.7958 |
5633 |
1.9012 0749 |
2.0121 |
9647 |
2.2521 |
9159 |
12 |
13 |
1.8856 |
4914 |
2.0057 7390 |
2.1329 |
2826 |
2.4098 |
4500 |
13 |
14 |
1.9799 |
3160 |
2.1 160 9146 |
2.2609 |
0396 |
2.5785 |
3415 |
14 |
15 |
2.0789 |
2818 |
2.2324 7649 |
2.3965 |
5819 |
2.7590 |
3154 |
15 |
16 |
2.1828 |
7459 |
2.3552 6270 |
2.5403 |
5168 |
2.9521 |
6375 |
16 |
17 |
2.2920 |
1832 |
2.4848 0215 |
2.6927 |
727? |
3.1588 |
1521 |
17 |
18 |
2.4066 |
1923 |
2.6214 6627 |
2.8543 |
3915 |
3.3799 |
3228 |
18 |
19 |
2.5269 |
5020 |
2.7656 4691 |
3.0255 |
9950 |
3.6165 |
2754 |
19 |
20 |
2.6532 |
9771 |
2.9177 5749 |
3.2071 |
3547 |
3.8696 |
8446 |
20 |
21 |
2.7859 |
6259 |
3.0782 3415 |
3.3995 |
6360 |
4.1405 |
6237 |
21 |
22 |
2.9252 |
6072 |
3.2475 3703 |
3.6035 |
3742 |
4.4304 |
0174 |
22 |
23 |
3.0715 |
2376 |
3.4261 5157 |
3.8197 |
4966 |
4.7405 |
2986 |
22 |
24 |
3.2250 |
9994 |
3.6145 8990 |
4.0489 |
3464 |
5.0723 |
6695 |
24 |
25 |
3.3863 |
5494 |
3.8133 9235 |
4.2918 |
7072 |
5.4274 |
3264 |
25 |
26 |
3.5556 |
7269 |
4.0231 2893 |
4.5493 |
8296 |
5.8073 |
5292 |
26 |
27 |
3.7334 |
5632 |
4.2444 0102 |
4.8223 |
4594 |
6.2138 |
6763 |
27 |
28 |
3.9201 |
2914 |
4.4778 4307 |
5.1 1 16 |
8670 |
6.6488 |
3836 |
28 |
29 |
4.1161 |
3560 |
4.7241 2444 |
5.4183 |
8790 |
7.1142 |
5705 |
29 |
30 |
4.3219 |
4238 |
4.9839 5129 |
5.7434 |
91 17 |
7.6122 |
5504 |
30 |
31 |
4.5380 |
3949 |
5.2580 6861 |
6.0881 |
0064 |
8.1451 |
1290 |
31 |
32 |
4.7649 |
4147 |
5.5472 6238 |
6.4533 |
8668 |
8.7152 |
7080 |
32 |
33 |
5.0031 |
8854 |
5.8523 6181 |
6.8405 |
8988 |
9.3253 |
3975 |
33 |
34 |
5.2533 |
4797 |
6.1742 4171 |
7.2510 |
2528 |
9.9781 |
1354 |
34 |
35 |
5.5160 |
1537 |
6.5138 2501 |
7.6860 |
8679 |
10.6765 |
8148 |
35 |
36 |
5.7918 |
1614 |
6.8720 8538 |
8.1472 |
5200 |
11.4239 |
4219 |
36 |
37 |
6.0814 |
0694 |
7.2500 5008 |
8.6360 |
8712 |
12.2236 |
1814 |
37 |
38 |
6.3854 |
7729 |
7.6488 0283 |
9.1542 |
5235 |
13.0792 |
7141 |
38 |
39 |
6.7047 |
51 15 |
8.0694 8699 |
9.7035 |
0749 |
13.9948 |
2041 |
39 |
40 |
7.0399 |
8871 |
8.5133 0877 |
10.2857 |
1794 |
14.9744 |
5784 |
40 |
41 |
7.3919 |
8815 |
8.9815 4076 |
10.9028 |
6101 |
16.0226 |
6989 |
41 |
42 |
7.7615 |
8756 |
9.4755 2550 |
11.5570 |
3267 |
17.1442 |
5678 |
42 |
43 |
8.1496 |
6693 |
9.9966 7940 |
12.2504 |
5463 |
18.3443 |
5475 |
43 |
44 |
8.5571 |
5028 |
10.5464 9677 |
12.9854 |
8191 |
19.6284 |
5959 |
44 |
45 |
8.9850 |
0779 |
11.1265 5409 |
13.7646 |
1083 |
21.0024 |
5176 |
45 |
46 |
9.4342 |
5818 |
1 1.7385 1456 |
14.5904 |
8748 |
22.4726 |
2338 |
46 |
47 |
9.9059 |
7109 |
12.3841 3287 |
15.4659 |
1673 |
24.0457 |
0702 |
47 |
48 |
10.4012 |
6965 |
13.0652 6017 |
16.3938 |
7173 |
25.7289 |
0651 |
48 |
49 |
10.9213 |
3313 |
13.7838 4948 |
17.3775 |
0403 |
27.5299 |
2997 |
49 |
50 |
1 1.4673 |
9979 |
14.5419 6120 |
18.4201 |
5427 |
29.4570 |
2506 |
50 |
1 1
Amount of 1 at Compound Interest
TABLE I.
(l + i)'
n |
5% |
5H% |
6% |
7% |
n |
||
51 |
12.0407 |
6978 |
15.3417 |
6907 |
19.5253 6353 |
31.5190 1682 |
51 |
52 |
12.6428 |
0826 |
16.1855 |
6637 |
20.6968 8534 |
33.7253 4799 |
52 |
53 |
13.2749 |
4868 |
17.0757 |
7252 |
21.9386 9846 |
36.0861 2235 |
53 |
54 |
13.9386 |
961 1 |
18.0149 |
4001 |
23.2550 2037 |
38.6121 5092 |
54 |
55 |
14.6356 |
3092 |
19.0057 |
6171 |
24.6503 2159 |
41.3150 0148 |
55 |
56 |
15.3674 |
1246 |
20.0510 |
7860 |
26.1293 4089 |
44.2070 5159 |
56 |
57 |
16.1357 |
8309 |
21.1538 |
8793 |
27.6971 0134 |
47.3015 4520 |
57 |
58 |
16.9425 |
7224 |
22.3173 |
5176 |
29.3589 2742 |
50.6126 5336 |
58 |
59 |
17.7897 |
0085 |
23.5448 |
061 1 |
31.1204 6307 |
54.1555 3910 |
59 |
60 |
18.6791 |
8589 |
24.8397 |
7045 |
32.9876 9085 |
57.9464 2683 |
60 |
61 |
19.6131 |
4519 |
26.2059 |
5782 |
34.9669 5230 |
62.0026 7671 |
61 |
62 |
20.5938 |
0245 |
27.6472 |
8550 |
37.0649 6944 |
66.3428 6408 |
62 |
63 |
21.6234 |
9257 |
29.1678 |
8620 |
39.2888 6761 |
70.9868 6457 |
63 |
64 |
22.7046 |
6720 |
30.7721 |
1994 |
41.6461 9967 |
75.9559 4509 |
64 |
65 |
23.8399 |
0056 |
32.4645 |
8654 |
44.1449 7165 |
81.2728 6124 |
65 |
66 |
25.0318 |
9559 |
34.2501 |
3880 |
46.7936 6994 |
86.9619 6153 |
66 |
67 |
26.2834 |
9037 |
36.1338 |
9643 |
49.6012 9014 |
93.0492 9884 |
67 |
68 |
27.5976 |
6488 |
38.1212 |
6074 |
52.5773 6755 |
99.5627 4976 |
68 |
69 |
28.9775 |
4813 |
40.2179 |
3008 |
55.7320 0960 |
106.5321 4224 |
69 |
70 |
30.4264 |
2554 |
42.4299 |
1623 |
59.0759 3018 |
1 13.9893 9220 |
70 |
71 |
31.9477 |
4681 |
44.7635 |
6163 |
62.6204 8599 |
121.9686 4965 |
71 |
72 |
33.5451 |
3415 |
47.2255 |
5751 |
66.3777 1515 |
130.5064 5513 |
72 |
73 |
35.2223 |
9086 |
49.8229 |
6318 |
70.3603 7806 |
139.6419 0699 |
73 |
74 |
36.9835 |
1040 |
52.5632 |
2615 |
74.5820 0074 |
149.4168 4047 |
74 |
75 |
38.8326 |
8592 |
55.4542 |
0359 |
79.0569 2079 |
159.8760 1931 |
75 |
76 |
40.7743 |
2022 |
58.5041 |
8479 |
83.8003 3603 |
171.0673 4066 |
76 |
77 |
42.8130 |
3623 |
61.7219 |
1495 |
88.8283 5620 |
183.0420 5451 |
77 |
78 |
44.9536 |
8804 |
65.1 166 |
2027 |
94.1580 5757 |
195.8549 9832 |
78 |
79 |
47.2013 |
7244 |
68.6980 |
3439 |
99.8075 4102 |
209.5648 4820 |
79 |
80 |
49.5614 |
4107 |
72.4764 |
2628 |
105.7959 9348 |
224.2343 8758 |
80 |
81 |
52.0395 |
1312 |
76.4626 |
2973 |
1 12.1437 5309 |
239.9307 9471 |
81 |
82 |
54.6414 |
8878 |
80.6680 |
7436 |
118.8723 7828 |
256.7259 5034 |
82 |
83 |
57.3735 |
6322 |
85.1048 |
1845 |
126.0047 2097 |
274.6967 6686 |
83 |
84 |
60.2422 |
4138 |
89.7855 |
8347 |
133.5650 0423 |
293.9255 4054 |
84 |
85 |
63.2543 |
5344 |
94.7237 |
9056 |
141.5789 0449 |
314.5003 2838 |
85 |
86 |
66.4170 |
71 12 |
99.9335 |
9904 |
150.0736 3875 |
336.5153 5137 |
86 |
87 |
69.7379 |
2467 |
105.4299 |
4698 |
159.0780 5708 |
360.0714 2596 |
87 |
88 |
73.2248 |
2091 |
1 11.2285 |
9407 |
168.6227 4050 |
385.2764 2578 |
88 |
89 |
76.8860 |
6195 |
1 17.3461 |
6674 |
178.7401 0493 |
412.2457 7558 |
89 |
90 |
80.7303 |
6505 |
123.8002 |
0591 |
189.4645 1 123 |
441 .1029 7988 |
90 |
91 |
84.7668 |
8330 |
130.6092 |
1724 |
200.8323 8190 |
471.9801 8847 |
91 |
92 |
89.0052 |
2747 |
137.7927 |
2419 |
212.8823 2482 |
505.0188 0166 |
92 |
93 |
93.4554 |
8884 |
145.3713 |
2402 |
225.6552 6431 |
540.3701 1778 |
93 |
94 |
98.1282 |
6328 |
153.3667 |
4684 |
239.1945 8017 |
578.1960 2602 |
94 |
95 |
103.0346 |
7645 |
161.8019 |
1791 |
253.5462 5498 [ |
618.6697 4784 |
95 |
96 |
108.1864 |
1027 |
170.7010 |
2340 |
268.7590 3028 |
661 .9766 3019 |
96 |
97 |
1 13.5957 |
3078 |
180.0895 |
7969 |
284.8845 7209 |
708.3149 9430 |
97 |
98 |
1 19.2755 |
1732 |
189.9945 |
0657 |
301.9776 4642 |
757.8970 4390 |
98 |
99 |
125.2392 |
9319 |
200.4442 |
0443 |
320.0963 0520 |
810.9498 3698 |
99 |
100 |
131.5012 |
5785 |
21 1.4686 |
3567 |
339.3020 8351 |
867.7163 2557 |
100 |
15
Present Value of 1 at Conipound Interest
TABLE II.
v"=(i+iy
n |
1% |
ih' |
'b |
1 Vfy ^^ /o |
1%% |
n |
||
1 |
0.9900 |
9901 |
0.9876 |
5432 |
0.9852 2167 |
0.9828 |
0098 |
1 |
2 |
0.9802 |
9605 |
0.9754 |
6106 |
0.9706 6175 |
0.9658 |
9777 |
2 |
3 |
0.9705 |
9015 |
0.9634 |
1833 |
0.9563 1699 |
0.9492 |
8528 |
3 |
4 |
0.9609 |
8034 |
0.9515 |
2428 |
0.9421 8423 |
0.9329 |
5851 |
4 |
5 |
0.9514 |
6569 |
0.9397 |
7706 |
0.9282 6033 |
0.9169 |
1254 |
5 |
6 |
0.9420 |
4524 |
0.9281 |
7488 |
0.9145 4219 |
0.9011 |
4254 |
6 |
7 |
0.9327 |
1805 |
0.9167 |
1593 |
0.9010 2679 |
0.8856 |
4378 |
7 |
8 |
0.9234 |
8322 |
0.9053 |
9845 |
0.8877 1 1 12 |
0.8704 |
1 157 |
8 |
9 |
0.9143 |
3982 |
0.8942 |
2069 |
0.8745 9224 |
0.8554 |
4135 |
9 |
10 |
0.9052 |
8695 |
0.8831 |
8093 |
0.8616 6723 |
0.8407 |
2860 |
10 |
11 |
0.8963 |
2372 |
0.8722 |
7746 |
0.8489 3323 |
0.8262 |
6889 |
11 |
12 |
0.8874 |
4923 |
0.8615 |
0860 |
0.8363 8742 |
0.8120 |
5788 |
12 |
13 |
0.8786 |
6260 |
0.8508 |
7269 |
0.8240 2702 |
0.7980 |
9128 |
13 |
14 |
0.8699 |
6297 |
0.8403 |
6809 |
0.81 18 4928 |
0.7843 |
6490 |
14 |
15 |
0.8613 |
4947 |
0.8299 |
9318 |
0.7998 5150 |
0.7708 |
7459 |
15 |
16 |
0.8528 |
2126 |
0.8197 |
4635 |
0.7880 3104 |
0.7576 |
1631 |
16 |
17 |
0.8443 |
7749 |
0.8096 |
2602 |
0.7763 8526 |
0.7445 |
8605 |
17 |
18 |
0.8360 |
1731 |
0.7996 |
3064 |
0.7649 1 159 |
0.7317 |
7990 |
18 |
19 |
0.8277 |
3992 |
0.7897 |
5866 |
0.7536 0747 |
0.7191 |
9401 |
19 |
20 |
0.8195 |
4447 |
0.7800 |
0855 |
0.7424 7042 |
0.7068 |
2458 |
20 |
21 |
0.81 14 |
3017 |
0.7703 |
7881 |
0.7314 9795 |
0.6946 |
6789 |
21 |
22 |
0.8033 |
9621 |
0.7608 |
6796 |
0.7206 8763 |
0.6827 |
2028 |
22 |
23 |
0.7954 |
4179 |
0.7514 |
7453 |
0.7100 3708 |
0.6709 |
7817 |
23 |
24 |
0.7875 |
6613 |
0.7421 |
9707 |
0.6995 4392 |
0.6594 |
3800 |
24 |
25 |
0.7797 |
6844 |
0.7330 |
3414 |
0.6892 0583 |
0.6480 |
9632 |
25 |
26 |
0.7720 |
4796 |
0.7239 |
8434 |
0.6790 2052 |
0.6369 |
4970 |
26 |
27 |
0.7644 |
0392 |
0.7150 |
4626 |
0.6689 8574 |
0.6259 |
9479 |
27 |
28 |
0.7568 |
3557 |
0.7062 |
1853 |
0.6590 9925 |
0.6152 |
2829 |
28 |
29 |
0.7493 |
4215 |
0.6974 |
9978 |
0.6493 5887 |
0.6046 |
4697 |
29 |
30 |
0.7419 |
2292 |
0.6888 |
8867 |
0.6397 6243 |
0.5942 |
4764 |
30 |
31 |
0.7345 |
7715 |
0.6803 |
8387 |
0.6303 0781 |
0.5840 |
2716 |
31 |
32 |
0.7273 |
0411 |
0.6719 |
8407 |
0.6209 9292 |
0.5739 |
8247 |
32 |
33 |
0.7201 |
0307 |
0.6636 |
8797 |
0.61 18 1568 |
0.5641 |
1053 |
33 |
34 |
0.7129 |
7334 |
0.6554 |
9429 |
0.6027 7407 |
0.5544 |
0839 |
34 |
35 |
0.7059 |
1420 |
0.6474 |
0177 |
0.5938 6608 |
0.5448 |
7311 |
35 |
36 |
0.6989 |
2495 |
0.6394 |
0916 |
0.5850 8974 |
0.5355 |
0183 |
36 |
37 |
0.6920 |
0490 |
0.6315 |
1522 |
0.5764 4309 |
0.5262 |
9172 |
37 |
38 |
0.6851 |
5337 |
0.6237 |
1873 |
0.5679 2423 |
0.5172 |
4002 |
38 |
39 |
0.6783 |
6967 |
0.6160 |
1850 |
0.5595 3126 |
0.5083 |
4400 |
39 |
40 |
0.6716 |
5314 |
0.6084 |
1334 |
0.5512 6232 |
0.4996 |
0098 |
40 |
41 |
0.6650 |
0311 |
0.6009 |
0206 |
0.5431 1559 |
0.4910 |
0834 |
41 |
42 |
0.6584 |
1892 |
0.5934 |
8352 |
0.5350 8925 |
0.4825 |
6348 |
42 |
43 |
0.6518 |
9992 |
0.5861 |
5656 |
0.5271 8153 |
0.4742 |
6386 |
43 |
44 |
0.6454 |
4546 |
0.5789 |
2006 |
0.5193 9067 |
0.4661 |
0699 |
44 |
45 |
0.6390 |
5492 |
0.5717 |
7290 |
0.5117 1494 |
0.4580 |
9040 |
45 |
46 |
0.6327 |
2764 |
0.5647 |
1397 |
0.5041 5265 |
0.4502 |
1170 |
46 |
47 |
0.6264 |
6301 |
0.5577 |
4219 |
0.4967 0212 |
0.4424 |
6850 |
47 |
48 |
0.6202 |
6041 |
0.5508 |
5649 |
0.4893 6170 |
0.4348 |
5848 |
48 |
49 |
' 0.6141 |
1921 |
0.5440 |
5579 |
0.4821 2975 |
0.4273 |
7934 |
49 |
50 |
0.6080 |
3882 |
0.5373 |
3905 |
0.4750 0468 |
0.4200 |
2883 |
50 |
16
Present Value of 1 at Compound Interest
TABLE II.
V
(i+iy
n |
1% |
ih' |
7c |
IH' |
7o |
1%% |
n |
||
51 |
0.6020 |
1864 |
0.5307 |
0524 |
0.4679 |
8491 |
0.4128 |
0475 |
51 |
52 |
0.5960 |
5806 |
0.5241 |
5332 |
0.4610 |
6887 |
0.4057 |
0492 |
52 |
53 |
0.5901 |
5649 |
0.5176 |
8229 |
0.4542 |
5505 |
0.3987 |
2719 |
53 |
54 |
0.5843 |
1336 |
0.5112 |
9115 |
0.4475 |
4192 |
0.3918 |
6947 |
54 |
55 |
0.5785 |
2808 |
0.5049 |
7892 |
0.4409 |
2800 |
0.3851 |
2970 |
55 |
56 |
0.5728 |
0008 |
0.4987 |
4461 |
0.4344 |
1182 |
0.3785 |
0585 |
56 |
57 |
0.5671 |
2879 |
0.4925 |
8727 |
0.4279 |
9194 |
0.3719 |
9592 |
57 |
58 |
0.5615 |
1365 |
0.4865 |
0594 |
0.4216 |
6694 |
0.3655 |
9796 |
58 |
59 |
0.5559 |
541 1 |
0.4804 |
9970 |
0.4154 |
3541 |
0.3593 |
1003 |
59 |
60 |
0.5504 |
4962 |
0.4745 |
6760 |
0.4092 |
9597 |
0.3531 |
3025 |
60 |
61 |
0.5449 |
9962 |
0.4687 |
0874 |
0.4032 |
4726 |
0.3470 |
5676 |
61 |
62 |
0.5396 |
0358 |
0.4629 |
2222 |
0.3972 |
8794 |
0.3410 |
8772 |
62 |
63 |
0.5342 |
6097 |
0.4572 |
0713 |
0.3914 |
1669 |
0.3352 |
2135 |
63 |
64 |
0.5289 |
7126 |
0.4515 |
6259 |
0.3856 |
3221 |
0.3294 |
5587 |
64 |
65 |
0.5237 |
3392 |
0.4459 |
8775 |
0.3799 |
3321 |
0.3237 |
8956 |
65 |
66 |
0.5185 |
4844 |
0.4404 |
8173 |
0.3743 |
1843 |
0.3182 |
2069 |
66 |
67 |
0.5134 |
1429 |
0.4350 |
4368 |
0.3687 |
8663 |
0.3127 |
4761 |
67 |
68 |
0.5083 |
3099 |
0.4296 |
7277 |
0.3633 |
3658 |
0.3073 |
6866 |
68 |
69 |
0.5032 |
9801 |
0.4243 |
6817 |
0.3579 |
6708 |
0.3020 |
8222 |
69 |
70 |
0.4983 |
1486 |
0.4191 |
2905 |
0.3526 |
7692 |
0.2968 |
8670 |
70 |
71 |
0.4933 |
8105 |
0.4139 |
5462 |
0.3474 |
6495 |
0.2917 |
8054 |
71 |
72 |
0.4884 |
9609 |
0.4088 |
4407 |
0.3423 |
3000 |
0.2867 |
6221 |
72 |
73 |
0.4836 |
5949 |
0.4037 |
9661 |
0.3372 |
7093 |
0.2818 |
3018 |
73 |
74 |
0.4788 |
7078 |
0.3988 |
1 147 |
0.3322 |
8663 |
0.2769 |
8298 |
74 |
75 |
0.4741 |
2949 |
0.3938 |
8787 |
0.3273 |
7599 |
0.2722 |
1914 |
75 |
>6 |
0.4694 |
3514 |
0.3890 |
2506 |
0.3225 |
3793 |
0.2675 |
3724 |
76 |
77 |
0.4647 |
8726 |
0.3842 |
2228 |
0.3177 |
7136 |
0.2629 |
3586 |
77 |
78 |
0.4601 |
8541 |
0.3794 |
7879 |
0.3130 |
7523 |
0.2584 |
1362 |
78 |
79 |
0.4556 |
2912 |
0.3747 |
9387 |
0.3084 |
4850 |
0.2539 |
6916 |
79 |
80 |
0.451 1 |
1794 |
0.3701 |
6679 |
0.3038 |
9015 |
0.2496 |
0114 |
80 |
81 |
0.4466 |
5142 |
0.3655 |
9683 |
0.2993 |
9916 |
0.2453 |
0825 |
81 |
82 |
0.4422 |
2913 |
0.3610 |
8329 |
0.2949 |
7454 |
0.2410 |
8919 |
82 |
83 |
0.4378 |
5063 |
0.3566 |
2547 |
0.2906 |
1531 |
0.2369 |
4269 |
83 |
84 |
0.4335 |
1547 |
0.3522 |
2268 |
0.2863 |
2050 |
0.2328 |
6751 |
84 |
85 |
0.4292 |
2324 |
0.3478 |
7426 |
0.2820 |
8917 |
0.2288 |
6242 |
85 |
86 |
0.4249 |
7350 |
0.3435 |
7951 |
0.2779 |
2036 |
0.2249 |
2621 |
86 |
87 |
0.4207 |
6585 |
0.3393 |
3779 |
0.2738 |
1316 |
0.2210 |
5770 |
87 |
88 |
0.4165 |
9985 |
0.3351 |
4843 |
0.2697 |
6666 |
0.2172 |
5572 |
88 |
89 |
0.4124 |
7510 |
0.3310 |
1080 |
0.2657 |
7997 |
0.2135 |
1914 |
89 |
90 |
0.4083 |
91 19 |
0.3269 |
2425 |
0.2618 |
5218 |
0.2098 |
4682 |
90 |
91 |
0.4043 |
4771 |
0.3228 |
8814 |
0.2579 |
8245 |
0.2062 |
3766 |
91 |
92 |
0.4003 |
4427 |
0.3189 |
0187 |
0.2541 |
6990 |
0.2026 |
9057 |
92 |
93 |
0.3963 |
8046 |
0.3149 |
6481 |
0.2504 |
1369 |
0.1992 |
0450 |
93 |
94 |
0.3924 |
5590 |
0.3110 |
7636 |
0.2467 |
1300 |
0.1957 |
7837 |
94 |
95 |
0.3885 |
7020 |
0.3072 |
3591 |
0.2430 |
6699 |
0.1924 |
1118 |
95 |
96 |
0.3847 |
2297 |
0.3034 |
4287 |
0.2394 |
7487 |
0.1891 |
0190 |
96 |
97 |
0.3809 |
1383 |
0.2996 |
9666 |
0.2359 |
3583 |
0.1858 |
4953 |
97 |
98 |
0.3771 |
4241 |
0.2959 |
9670 |
0.2324 |
4909 |
0.1826 |
5310 |
98 |
99 |
0.3734 |
0832 |
0.2923 |
4242 |
0.2290 |
1389 |
0.1795 |
1165 |
99 |
100 |
0.3697 |
1 121 |
0.2887 |
3326 |
0.2256 |
2944 |
0.1764 |
2422 |
100 |
17
Present Value of 1 at Compound Interest
TABLE II.
v"={i-\-iy
n |
2'. |
c |
2h' |
t |
9 1 ' |
c |
2%^c |
n |
1 |
0.9803 |
9216 |
0.9779 |
9511 |
0.9756 |
0976 |
0.9732 3601 |
1 |
2 |
0.9611 |
6878 |
0.9564 |
7444 |
0.9518 |
1440 |
0.9471 8833 |
2 |
3 |
0.9423 |
2233 |
0.9354 |
2732 |
0.9285 |
9941 |
0.9218 3779 |
3 |
4 |
0.9238 |
4543 |
0.9148 |
4335 |
0.9059 |
5064 |
0.8971 6573 |
4 |
5 |
0.9057 |
3081 |
0.8947 |
1232 |
0.8838 |
5429 |
0.8731 5400 |
5 |
6 |
0.8879 |
7138 |
0.8750 |
2427 |
0.8622 |
9687 |
0.8497 8491 |
6 |
7 |
0.8705 |
6018 |
0.8557 |
6946 |
0.8412 |
6524 |
0.8270 4128 |
7 |
8 |
0.8534 |
9037 |
0.8369 |
3835 |
0.8207 |
4657 |
0.8049 0635 |
8 |
9 |
0.8367 |
5527 |
0.8185 |
2161 |
0.8007 |
2836 |
0.7833 6385 |
9 |
10 |
0.8203 |
4830 |
0.8005 |
1013 |
0.781 1 |
9840 |
0.7623 9791 |
10 |
11 |
0.8042 |
6304 |
0.7828 |
9499 |
0.7621 |
4478 |
0.7419 9310 |
11 |
12 |
0.7884 |
9318 |
0.7656 |
6748 |
0.7435 |
5589 |
0.7221 3440 |
12 |
13 |
0.7730 |
3253 |
0.7488 |
1905 |
0.7254 |
2038 |
0.7028 0720 |
13 |
14 |
0.7578 |
7502 |
0.7323 |
4137 |
0.7077 |
2720 |
0.6839 9728 |
14 |
15 |
0.7430 |
1473 |
0.7162 |
2628 |
0.6904 |
6556 |
0.6656 9078 |
15 |
16 |
0.7284 |
4581 |
0.7004 |
6580 |
0.6736 |
2493 |
0.6478 7424 |
16 |
17 |
0.7141 |
6256 |
0.6850 |
5212 |
0.6571 |
9506 |
0.6305 3454 |
17 |
18 |
0.7001 |
5937 |
0.6699 |
7763 |
0.641 1 |
6591 |
0.6136 5892 |
18 |
19 |
0.6864 |
3076 |
0.6552 |
3484 |
0.6255 |
2772 |
0.5972 3496 |
19 |
20 |
0.6729 |
7133 |
0.6408 |
1647 |
0.6102 |
7094 |
0.5812 5057 |
20 |
21 |
0.6597 |
7582 |
0.6267 |
1538 |
0.5953 |
8629 |
0.5656 9398 |
21 |
22 |
0.6468 |
3904 |
0.6129 |
2457 |
0.5808 |
6467 |
0.5505 5375 |
22 |
23 |
0.6341 |
5592 |
0.5994 |
3724 |
0.5666 |
9724 |
0.5358 1874 |
23 |
24 |
0.6217 |
2149 |
0.5862 |
4668 |
0.5528 |
7535 |
0.5214 7809 |
24 |
25 |
0.6095 |
3087 |
0.5733 |
4639 |
0.5393 |
9059 |
0.5075 2126 |
25 |
26 |
0.5975 |
7928 |
0.5607 |
2997 |
0.5262 |
3472 |
0.4939 3796 |
26 |
27 |
0.5858 |
6204 |
0.5483 |
91 17 |
0.5133 |
9973 |
0.4807 1821 |
27 |
28 |
0.5743 |
7455 |
0.5363 |
2388 |
0.5008 |
7778 |
0.4678 5227 |
28 |
29 |
0.5631 |
1231 |
0.5245 |
2213 |
0.4886 |
6125 |
0.4553 3068 |
29 |
30 |
0.5520 |
7089 |
0.5129 |
8008 |
0.4767 |
4269 |
0.4431 4421 |
30 |
31 |
0.5412 |
4597 |
0.5016 |
9201 |
0.4651 |
1481 |
0.4312 8391 |
31 |
32 |
0.5306 |
3330 |
0.4906 |
5233 |
0.4537 |
7055 |
0.4197 4103 |
32 |
33 |
0.5202 |
2873 |
0.4798 |
5558 |
0.4427 |
0298 |
0.4085 0708 |
33 |
34 |
0.5100 |
2817 |
0.4692 |
9641 |
0.4319 |
0534 |
0.3975 7380 |
34 |
35 |
0.5000 |
2761 |
0.4589 |
6960 |
0.4213 |
7107 |
0.3869 3314 |
35 |
36 |
0.4902 |
2315 |
0.4488 |
7002 |
0.4110 |
9372 |
0.3765 7727 |
36 |
37 |
0.4806 |
1093 |
0.4389 |
9268 |
0.4010 |
6705 |
0.3664 9856 |
37 |
38 |
0.4711 |
8719 |
0.4293 |
3270 |
0.3912 |
8492 |
0.3566 8959 |
38 |
39 |
0.4619 |
4822 |
0.4198 |
8528 |
0.3817 |
4139 |
0.3471 4316 |
39 |
40 |
0.4528 |
9042 |
0.4106 |
4575 |
0.3724 |
3062 |
0.3378 5222 |
40 |
41 |
0.4440 |
1021 |
0.4016 |
0954 |
0.3633 |
4695 |
0.3288 0995 |
41 |
42 |
0.4353 |
0413 |
0.3927 |
7216 |
0.3544 |
8483 |
0.3200 0968 |
42 |
43 |
0.4267 |
6875 |
0.3841 |
2925 |
0.3458 |
3886 |
0.31 14 4495 |
43 |
44 |
0.4184 |
0074 |
0.3756 |
7653 |
0.3374 |
0376 |
0.3031 0944 |
44 |
45 |
0.4101 |
9680 |
0.3674 |
0981 |
0.3291 |
7440 |
0.2949 9702 |
45 |
46 |
0.4021 |
5373 |
0.3593 |
2500 |
0.3211 |
4576 |
0.2871 0172 |
46 |
47 |
0.3942 |
6836 |
0.3514 |
1809 |
0.3133 |
1294 |
0.2794 1773 |
47 |
48 |
0.3865 |
3761 |
0.3436 |
8518 |
0.3056 |
7116 |
0.2719 3940 |
48 |
49 |
0.3789 |
5844 |
0.3361 |
2242 |
0.2982 |
1576 |
0.2646 6122 |
49 |
50 |
0.3715 |
2788 |
0.3287 |
2608 |
0.2909 |
4221 |
0.2575 7783 |
50 |
18
Present Value of 1 at Compound Interest
TABLE II. |
i;"=(l+i)-" |
||||
n |
2% |
2h% |
2h% |
2%^o |
n |
51 |
0.3642 4302 |
0.3214 9250 |
0.2838 4606 |
0.2506 8402 |
51 |
52 |
0.3571 0100 |
0.3144 1810 |
0.2769 2298 |
0.2439 7471 |
52 |
53 |
0.3500 9902 |
0.3074 9936 |
0.2701 6876 |
0.2374 4497 |
53 |
54 |
0.3432 3433 |
0.3007 3287 |
0.2635 7928 |
0.2310 9000 |
54 |
55 |
0.3365 0425 |
0.2941 1528 |
0.2571 5052 |
0.2249 0511 |
55 |
56 |
0.3299 0613 |
0.2876 4330 |
0.2508 7855 |
0.2188 8575 |
56 |
57 |
0.3234 3738 |
0.2813 1374 |
0.2447 5956 |
0.2130 2749 |
57 |
58 |
0.3170 9547 |
0.2751 2347 |
0.2387 8982 |
0.2073 2603 |
58 |
59 |
0.3108 7791 |
0.2690 6940 |
0.2329 6568 |
0.2017 7716 |
59 |
60 |
0.3047 8227 |
0.2631 4856 |
0.2272 8359 |
0.1963 7679 |
60 |
61 |
0.2988 0614 |
0.2573 5801 |
0.2217 4009 |
0.1911 2097 |
61 |
62 |
0.2929 4720 |
0.2516 9487 |
0.2163 3179 |
0.1860 0581 |
62 |
63 |
0.2872 0314 |
0.2461 5635 |
0.2110 5541 |
0.1810 2755 |
63 |
64 |
0.2815 7170 |
0.2407 3971 |
0.2059 0771 |
0.1761 8253 |
64 |
65 |
0.2760 5069 |
0.2354 4226 |
0.2008 8557 |
0.1714. 6718 |
65 |
66 |
0.2706 3793 |
0.2302 6138 |
0.1959 8593 |
0.1668 7804 |
66 |
67 |
0.2653 3130 |
0.2251 9450 |
0.1912 0578 |
0.1624 1172 |
67 |
68 |
0.2601 2873 |
0.2202 3912 |
0.1865 4223 |
0.1580 6493 |
68 |
69 |
0.2550 2817 |
0.2153 9278 |
0.1819 9241 |
0.1538 3448 |
69 |
70 |
0.2500 2761 |
0.2106 5309 |
0.1775 5358 |
0.1497 1726 |
70 |
71 |
0.2451 2511 |
0.2060 1769 |
0.1732 2300 |
0.1457 1023 |
71 |
72 |
0.2403 1874 |
0.2014 8429 |
0.1689 9805 |
0.1418 1044 |
72 |
73 |
0.2356 0661 |
0.1970 5065 |
0.1648 7615 |
0.1380 1503 |
73 |
74 |
0.2309 8687 |
0.1927 1458 |
0.1608 5478 |
0.1343 2119 |
74 |
75 |
0.2264 5771 |
0.1884 7391 |
0.1569 3148- |
0.1307 2622 |
75 |
76 |
0.2220 1737 |
0.1843 2657 |
0.1531 0389 |
0.1272 2747 |
76 |
77 |
0.2176 6408 |
0.1802 7048 |
0.1493 6965 |
0.1238 2235 |
77 |
78 |
0.2133 9616 |
0.1763 0365 |
0.1457 2649 |
0.1205 0837 |
78 |
79 |
0.2092 1 192 |
0.1724 2411 |
0.1421 7218 |
0.1172 8309 |
79 |
80 |
0.2051 0973 |
0.1686 2993 |
0.1387 0457 |
0.1141 4412 |
80 |
81 |
0.2010 8797 |
0.1649 1925 |
0.1353 2153 |
0.1110 8917 |
81 |
82 |
0.1971 4507 |
0.1612 9022 |
0.1320 2101 |
0.1081 1598 |
82 |
83 |
0.1932 7948 |
0.1577 4105 |
0.1288 0098 |
0.1052 2237 |
83 |
84 |
0.1894 8968 |
0.1542 6997 |
0.1256 5949 |
0.1024 0620 |
84 |
85 |
0.1857 7420 |
0.1508 7528 |
0.1225 9463 |
0.0996 6540 |
85 |
86 |
0.1821 3157 |
0.1475 5528 |
0.1196 0452 |
0.0969 9795 |
86 |
87 |
0.1785 6036 |
0.1443 0835 |
0.1166 8733 |
0.0944 0190 |
87 |
88 |
0.1750 5918 |
0.1411 3286 |
0.1 138 4130 |
0.0918 7533 |
88 |
89 |
0.1716 2665 |
0.1380 2724 |
0.1110 6468 |
0.0894 1638 |
89 |
90 |
0.1682 6142 |
0.1349 8997 |
0.1083 5579 |
0.0870 2324 |
90 |
91 |
0.1649 6217 |
0.1320 1953 |
0.1057 1296 |
0.0846 9415 |
91 |
92 |
0.1617 2762 |
0.1291 1445 |
0.1031 3460 |
0.0824 2740 |
92 |
93 |
0.1585 5649 |
0.1262 7331 |
0.1006 1912 |
0.0802 2131 |
93 |
94 |
0.1554 4754 |
0.1234 9468 |
0.0981 6500 |
0.0780 7427 |
94 |
95 |
0.1523 9955 |
0.1207 7719 |
0.0957 7073 |
0.0759 8469 |
95 |
96 |
0.1494 1132 |
0.1181 1950 |
0.0934 3486 |
0.0739 5104 |
96 |
97 |
0.1464 8169 |
0.1155 2029 |
' 0.0911 5596 |
0.0719 7181 |
97 |
98 |
0.1436 0950 |
0.1129 7828 |
0.0889 3264 |
0.0700 4556 |
1 98 |
99 |
' 0.1407 9363 |
0.1104 9221 |
0.0867 6355 |
0.0681 7086 |
99 |
100 |
0.1380 3297 |
0.1080 6084 |
0.0846 4737 |
0.0663 4634 |
100 |
19
Present -Value of 1 at Compound Interest
TABLE II.
v"={i+iy
n |
3h' |
/c |
i9 |
; |
^h7c |
n |
||
1 |
0.9708 |
7379 |
0.9661 |
8357 |
0.9615 |
3846 |
0.9569 3780 |
1 |
2 |
0.9425 |
9591 |
0.9335 |
1070 |
0.9245 |
5621 |
0.9157 2995 |
2 |
3 |
0.9151 |
4166 |
0.9019 |
4271 |
0.8889 |
9636 |
0.8762 9660 |
3 |
4 |
0.8884 |
8705 |
0.8714 |
4223 |
0.8548 |
0419 |
0.8385 6134 |
4 |
5 |
0.8626 |
0878 |
0.8419 |
7317 |
0.8219 |
2711 |
0.8024 5105 |
5 |
6 |
0.8374 |
8426 |
0.8135 |
0064 |
0.7903 |
1453 |
0.7678 9574 |
6 |
7 |
0.8130 |
9151 |
0.7859 |
9096 |
0.7599 |
1781 |
0.7348 2846 |
7 |
8 |
0.7894 |
0923 |
0.7594 |
1 156 |
0.7306 |
9021 |
0.7031 8513 |
8 |
9 |
0.7664 |
1673. |
0.7337 |
3097 |
0.7025 |
8674 |
0.6729 0443 |
9 |
10 |
0.7440 |
9391 |
0.7089 |
1881 |
0.6755 |
6417 |
0.6439 2768 |
10 |
11 |
0.7224 |
2128 |
0.6849 |
4571 |
0.6495 |
8093 |
0.6161 9874 |
11 |
12 |
0.7013 |
7988 |
0.6617 |
8330 |
0.6245 |
9705 |
0.5896 6386 |
12 |
13 |
0.6809 |
5134 |
0.6394 |
0415 |
0.6005 |
7409 |
0.5642 7164 |
13 |
14 |
0.6611 |
1781 |
0.6177 |
8179 |
0.5774 |
7508 |
0.5399 7286 |
14 |
15 |
0.6418 |
6195 |
0.5968 |
9062 |
0.5552 |
6450 |
0.5167 2044 |
15 |
16 |
0.6231 |
6694 |
0.5767 |
0591 |
0.5339 |
0818 |
0.4944 6932 |
16 |
17 |
0.6050 |
1645 |
0.5572 |
0378 |
0.5133 |
7325 |
0.4731 7639 |
17 |
18 |
0.5873 |
9461 |
0.5383 |
6114 |
0.4936 |
2812 |
0.4528 0037 |
18 |
19 |
0.5702 |
8603 |
0.5201 |
5569 |
0.4746 |
4242 |
0.4333 0179 |
19 |
20 |
0.5536 |
7575 |
0.5025 |
6588 |
0.4563 |
8695 |
0.4146 4286 |
20 |
21 |
0.5375 |
4928 |
0.4855 |
7090 |
0.4388 |
3360 |
0.3967 8743 |
21 |
22 |
0.5218 |
9250 |
0.4691 |
5063 |
0.4219 |
5539 |
0.3797 0089 |
22 |
23 |
0.5066 |
9175 |
0.4532 |
8563 |
0.4057 |
2633 |
0.3633 5013 |
23 |
24 |
0.4919 |
3374 |
0.4379 |
5713 |
0.3901 |
2147 |
0.3477 0347 |
24 |
25 |
0.4776 |
0557 |
0.4231 |
4699 |
0.3751 |
1680 |
0.3327 3060 |
25 |
26 |
0.4636 |
9473 |
0.4088 |
3767 |
0.3606 |
8923 |
0.3184 0248 |
26 |
27 |
0.4501 |
8906 |
0.3950 |
1224 |
0.3468 |
1657 |
0.3046 9137 |
27 |
28 |
0.4370 |
7675 |
0.3816 |
5434 |
0.3334 |
7747 |
0.2915 7069 |
28 |
29 |
0.4243 |
4636 |
0.3687 |
4815 |
0.3206 |
5141 |
0.2790 1502 |
29 |
30 |
0.4119 |
8676 |
0.3562 |
7841 |
0.3083 |
1867 |
0.2670 0002 |
30 |
31 |
0.3999 |
8715 |
0.3442 |
3035 |
0.2964 |
6026 |
0.2555 0241 |
31 |
32 |
0.3883 |
3703 |
0.3325 |
8971 |
0.2850 |
5794 |
0.2444 9991 |
32 |
33 |
0.3770 |
2625 |
0.3213 |
4271 |
0.2740 |
9417 |
0.2339 7121 |
33 |
34 |
0.3660 |
4490 |
0.3104 |
7605 |
0.2635 |
5209 |
0.2238 9589 |
34 |
35 |
0.3553 |
8340 |
0.2999 |
7686 |
0.2534 |
1547 |
0.2142 5444 |
35 |
36 |
0.3450 |
3243 |
0.2898 |
3272 |
0.2436 |
6872 |
0.2050 2817 |
36 |
37 |
0.3349 |
8294 |
0.2800 |
3161 |
0.2342 |
9685 |
0.1961 9921 |
37 |
38 |
0.3252 |
2615 |
0.2705 |
6194 |
0.2252 |
8543 |
0.1877 5044 |
38 |
39 |
0.3157 |
5355 |
0.2614 |
1250 |
0.2166 |
2061 |
0.1796 6549 |
39 |
40 |
0.3065 |
5684 |
0.2525 |
7247 |
0.2082 |
8904 |
0.1719 2870 |
40 |
41 |
0.2976 |
2800 |
0.2440 |
3137 |
0.2002 |
7793 |
0.1645 2507 |
41 |
42 |
0.2889 |
5922 |
0.2357 |
7910 |
0.1925 |
7493 |
0.1574 4026 |
42 |
43 |
0.2805 |
4294 |
0.2278 |
0590 |
0.1851 |
6820 |
0.1506 6054 |
43 |
44 |
0.2723 |
7178 |
0.2201 |
0231 |
0.1780 |
4635 |
0.1441 7276 |
44 |
45 |
0.2644 |
3862 |
0.2126 |
5924 |
0.171 1 |
9841 |
0.1379 6437 |
45 |
46 |
0.2567 |
3653 |
0.2054 |
6787 |
0.1646 |
1386 |
0.1320 2332 |
46 |
47 |
0.2492 |
5876 |
0.1985 |
1968 |
0.1582 |
8256 |
0.1263 3810 |
47 |
48 |
0.2419 |
9880 |
0.1918 |
0645 |
0.1521 |
9476 |
0.1208 9771 |
48 |
49 |
0.2349 |
5029 |
0.1853 |
2024 |
0.1463 |
4112 |
0.1156 9158 |
49 |
50 |
0.2281 |
0708 |
0.1790 |
5337 |
0.1407 |
1262 |
0.1107 0965 |
50 |
20
Present Value of 1 at Compound Interest
TABLE II.
v^={i-\-iy
n |
3% |
3^% |
4% |
4>^% |
n |
||||
51 |
0.2214 |
6318 |
0.1729 |
9843 |
0.1353 |
0059 |
0.1059 |
4225 |
51 |
52 |
0.2150 |
1280 |
0.1671 |
4824 |
0.1300 |
9672 |
0.1013 |
8014 |
52 |
53 |
0.2087 |
5029 |
0.1614 |
9589 |
0.1250 |
9300 |
0.0970 |
1449 |
53 |
54 |
0.2026 |
7019 |
0.1560 |
3467 |
0.1202 |
8173 |
0.0928 |
3683 |
54 |
55 |
0.1967 |
6717 |
0.1507 |
5814 |
0.1156 |
5551 |
0.0888 |
3907 |
55 |
56 |
0.1910 |
3609 |
0.1456 |
6004 |
0.1112 |
0722 |
0.0850 |
1347 |
56 |
57 |
0.1854 |
7193 |
0.1407 |
3433 |
0.1069 |
3002 |
0.0813 |
5260 |
57 |
58 |
0.1800 |
6984 |
0.1359 |
7520 |
0.1028 |
1733 |
0.0778 |
4938 |
58 |
59 |
0.1748 |
2508 |
0.1313 |
7701 |
0.0988 |
6282 |
0.0744 |
9701 |
59 |
60 |
0.1697 |
3309 |
0.1269 |
3431 |
0.0950 |
6040 |
0.0712 |
8901 |
60 |
61 |
0.1647 |
8941 |
0.1226 |
4184 |
0.0914 |
0423 |
0.0682 |
1915 |
61 |
62 |
0.1599 |
8972 |
0.1 184 |
9453 |
0.0878 |
8868 |
0.0652 |
8148 |
62 |
63 |
0.1553 |
2982 |
0.1 144 |
8747 |
0.0845 |
0835 |
0.0624 |
7032 |
63 |
64 |
0.1508 |
0565 |
0.1106 |
1591 |
0.0812 |
5803 |
0.0597 |
8021 |
64 |
65 |
0.1464 |
1325 |
0.1068 |
7528 |
0.0781 |
3272 |
0.0572 |
0594 |
65 |
66 |
0.1421 |
4879 |
0.1032 |
6114 |
0.0751 |
2762 |
0.0547 |
4253 |
66 |
67 |
0.1380 |
0853 |
0.0997 |
6922 |
0.0722 |
3809 |
0.0523 |
8519 |
67 |
68 |
0.1339 |
8887 |
0.0963 |
9538 |
0.0694 |
5970 |
0.0501 |
2937 |
68 |
69 |
0.1300 |
8628 |
0.0931 |
3563 |
0.0667 |
8818 |
0.0479 |
7069 |
69 |
70 |
0.1262 |
9736 |
0.0899 |
8612 |
0.0642 |
1940 |
0.0459 |
0497 |
70 |
71 |
0.1226 |
1880 |
0.0869 |
4311 |
0.0617 |
4942 |
0.0439 |
2820 |
71 |
72 |
0.1190 |
4737 |
0.0840 |
0300 |
0.0593 |
7445 |
0.0420 |
3655 |
72 |
73 |
0.1155 |
7998 |
0.0811 |
6232 |
0.0570 |
9081 |
0.0402 |
2637 |
73 |
74 |
0.1122 |
1357 |
0.0784 |
1770 |
0.0548 |
9501 |
0.0384 |
9413 |
74 |
75 |
0.1089 |
4521 |
0.0757 |
6590 |
0.0527 |
8367 |
0.0368 |
3649 |
75 |
76 |
0 1057 |
7205 |
0.0732 |
0376 |
0.0507 |
5353 |
0.0352 |
5023 |
76 |
77 |
0.1026 |
9131 |
0.0707 |
2827 |
0.0488 |
0147 |
0.0337 |
3228 |
77 |
78 |
0.0997 |
0030 |
0.0683 |
3650 |
0.0469 |
2449 |
0.0322 |
7969 |
78 |
79 |
0.0967 |
9641 |
0.0660 |
2560 |
0.0451 |
1970 |
0.0308 |
8965 |
79 |
80 |
0.0939 |
7710 |
0.0637 |
9285 |
0.0433 |
8433 |
0.0295 |
5948 |
80 |
81 |
0.0912 |
3990 |
0.0616 |
3561 |
0.0417 |
1570 |
0.0282 |
8658 |
81 |
82 |
0.0885 |
8243 |
0.0595 |
5131 |
0.0401 |
1125 |
0.0270 |
6850 |
82 |
83 |
0.0860 |
0236 |
0.0575 |
3750 |
0.0385 |
6851 |
0.0259 |
0287 |
83 |
84 |
0.0834 |
9743 |
0.0555 |
9178 |
0.0370 |
8510 |
0.0247 |
8744 |
84 |
85 |
0.0810 |
6547 |
0.0537 |
1187 |
0.0356 |
5875 |
0.0237 |
2003 |
85 |
86 |
0.0787 |
0434 |
0.0518 |
9553 |
0.0342 |
8726 |
0.0226 |
9860 |
86 |
87 |
0.0764 |
1198 |
0.0501 |
4060 |
0.0329 |
6852 |
0.0217 |
2115 |
87 |
88 |
0.0741 |
8639 |
0.0484 |
4503 |
0.0317 |
0050 |
0.0207 |
8579 |
88 |
89 |
0.0720 |
2562 |
0.0468 |
0679 |
0.0304 |
8125 |
0.0198 |
9070 |
89 |
90 |
0.0699 |
2779 |
0.0452 |
2395 |
0.0293 |
0890 |
0.0190 |
3417 |
90 |
91 |
0.0678 |
9105 |
0.0436 |
9464 |
0.0281 |
8163 |
0.0182 |
1451 |
91 |
92 |
0.0659 |
1364 |
0.0422 |
1704 |
0.0270 |
9772 |
0.0174 |
3016 |
92 |
93 |
0.0639 |
9383 |
0.0407 |
8941 |
0.0260 |
5550 |
0.0166 |
7958 |
93 |
94 |
0.0621 |
2993 |
0.0394 |
1006 |
0.0250 |
5337 |
0.0159 |
6132 |
94 |
95 |
0.0603 |
2032 |
0.0380 |
7735 |
0.0240 |
8978 |
0.0152 |
7399 |
95 |
96 |
0.0585 |
6342 |
0.0367 |
8971 |
0.0231 |
6325 |
0.0146 |
1626 |
96 |
97 |
0.0568 |
5769 |
0.0355 |
4562 |
0.0222 |
7235 |
0.0139 |
8685 |
97 |
98 |
0.0552 |
0164 |
0.0343 |
4359 |
0.0214 |
1572 |
0.0133 |
8454 |
98 |
99 |
0.0535 |
9383 |
0.0331 |
8221 |
0.0205 |
9204 |
0.0128 |
0817 |
99 |
100 |
0.0520 |
3284 |
0.0320 |
6011 |
0.0198 |
0004 |
0.0122 |
5663 |
100 |
21
Present Value of 1 at Compound Interest
TABLE II.
V
(1 + i)-"
n |
5% |
5h% |
6% |
TSc |
n |
1 |
0.9523 8095 |
0.9478 6730 |
0.9433 9623 |
0.9345 7944 |
1 |
2 |
0.9070 2948 |
0.8984 5242 |
0.8899 9644 |
0.8734 3873 |
2 |
3 |
0.8638 3760 |
0.8516 1366 |
0.8396 1928 |
0.8162 9788 |
3 |
4 |
0.8227 0247 |
0.8072 1674 |
0.7920 9366 |
0.7628 9521 |
4 |
5 |
0.7835 2617 |
0.7651 3435 |
0.7472 5817 |
0.7129 8618 1 |
5 |
6 |
0.7462 1540 |
0.7252 4583 |
0.7049 6054 |
0.6663 4222 |
6 |
7 |
0.7106 8133 |
0.6874 3681 |
0.6650 5711 |
0.6227 4974 |
7 |
8 |
0.6768 3936 |
0.6515 9887 |
0.6274 1237 |
0.5820 0910 |
8 |
9 |
0.6446 0892 |
0.6176 2926 |
0.5918 9846 |
0.5439 3374 |
9 |
10 |
0.6139 1325 |
0.5854 3058 |
0.5583 9478 |
0.5083 4929 |
10 |
11 |
0.5846 7929 |
0.5549 1050 |
0.5267 8753 |
0.4750 9280 |
11 |
12 |
0.5568 3742 |
0.5259 8152 |
0.4969 6936 |
0.4440 1 196 |
12 |
13 |
0.5303 2135 |
0.4985 6068 |
0.4688 3902 |
0.4149 6445 |
13 |
14 |
0.5050 6795 |
0.4725 6937 |
0.4423 0096 |
0.3878 1724 |
14 |
15 |
0.4810 1710 |
0.4479 3305 |
0.4172 6506 |
0.3624 4602 |
15 |
16 |
0.4581 1152 |
0.4245 8109 |
0.3936 4628 |
0.3387 3460 |
16 |
17 |
0.4362 9669 |
0.4024 4653 |
0.3713 6442 |
0.3165 7439 |
17 |
18 |
0.4155 2065 |
0.3814 6590 |
0.3503 4379 |
0.2958 6392 |
18 |
19 |
0.3957 3396 |
0.3615 7906 |
0.3305 1301 |
0.2765 0832 |
19 |
20 |
0.3768 8948 |
0.3427 2896 |
0.3118 0473 |
0.2584 1900 |
20 |
21 |
0.3589 4236 |
0.3248 6158 |
0.2941 5540 |
0.2415 1309 |
21 |
22 |
0.3418 4987 |
0.3079 2567 |
0.2775 0510 |
0.2257 1317 |
22 |
23 |
0.3255 7131 |
0.2918 7267 |
0.2617 9726 |
0.2109 4688 |
23 |
24 |
0.3100 6791 |
0.2766 5656 |
0.2469 7855 |
0.1971 4662 |
24 |
25 |
0.2953 0277 |
0.2622 3370 |
0.2329 9863 |
0.1842 4918 |
25 |
26 |
0.2812 4073 |
0.2485 6275 |
0.2198 1003 |
0.1721 9549 |
26 |
27 |
0.2678 4832 |
0.2356 0450 |
0.2073 6795 |
0.1609 3037 |
27 |
28 |
0.2550 9364 |
0.2233 2181 |
0.1956 3014 |
0.1504 0221 |
28 |
29 |
0.2429 4632 |
0.2116 7944 |
0.1845 5674 |
0.1405 6282 |
29 |
30 |
0.2313 7745 |
0.2006 4402 |
0.1741 1013 |
0.1313 6712 |
30 |
31 |
0.2203 5947 |
0.1901 8390 |
0.1642 5484 |
0.1227 7301 |
31 |
32 |
0.2098 6617 |
0.1802 6910 |
0.1549 5740 |
0.1147 4113 |
32 |
33 |
0.1998 7254 |
0.1708 7119 |
0.1461 8622 |
0.1072 3470 |
33 |
34 |
0.1903 5480 |
0.1619 6321 |
0.1379 1153 |
0.1002 1934 |
34 |
35 |
0.1812 9029 |
0.1535 1963 |
0.1301 0522 |
0.0936 6294 |
35 |
36 |
0.1726 5741 |
0.1455 1624 |
0.1227 4077 |
0.0875 3546 |
36 |
37 |
0.1644 3563 |
0.1379 3008 |
0.1157 9318 |
0.0818 0884 |
37 |
38 |
0.1566 0536 |
0.1307 3941 |
0.1092 3885 |
0.0764 5686 |
38 |
39 |
0.1491 4797 |
0.1239 2362 |
0.1030 5552 |
0.0714 5501 |
39 |
40 |
0.1420 4568 |
0.1174 6314 |
0.0972 2219 |
0.0667 8038 |
40 |
41 |
0.1352 8160 |
0.1113 3947 |
0.0917 1905 |
0.0624 1157 |
41 |
42 |
0.1288 3962 |
0.1055 3504 |
0.0865 2740 |
0.0583 2857 |
42 |
43 |
0.1227 0440 |
0.1000 3322 |
0.0816 2962 |
0.0545 1268 |
43 |
44 |
0.1168 6133 |
0.0948 1822 |
0.0770 0908 |
0.0509 4643 |
44 |
45 |
0.1112 9651 |
0.0898 7509 |
0.0726 5007 |
0.0476 1349 |
45 |
46 |
0.1059 9668 |
0.0851 8965 |
0.0685 3781 |
0.0444 9859 |
46 |
47 |
0.1009 4921 |
0.0807 4849 |
0.0646 5831 |
0.0415 8747 |
47 ■ |
48 |
0.0961 4211 |
0.0765 3885 |
0.0609 9840 |
0.0388 6679 |
1 48 |
49 |
0.0915 6391 |
0.0725 4867 |
0.0575 4566 |
0.0363 2410 |
49 |
50 |
0.0872 0373 |
0.0687 6652 |
0.0542 8836 |
0.0339 4776 |
50 |
22
Present Value of 1 at Compound Interest
TABLE II. |
i;"=(l + i)-" |
||||||||
n |
5% |
5h7o |
6% |
7% |
n |
||||
51 |
0.0830 |
5117 |
0.0651 |
8153 |
0.0512 |
1544 |
0.0317 |
2688 |
51 |
52 |
0.0790 |
9635 |
0.0617 |
8344 |
0.0483 |
1645 |
0.0296 |
5129 |
52 |
53 |
0.0753 |
2986 |
0.0585 |
6250 |
0.0455 |
8156 |
0.0277 |
1 148 |
53 |
54 |
0.0717 |
4272 |
0.0555 |
0948 |
0.0430 |
0147 |
0.0258 |
9858 |
54 |
55 |
0.0683 |
2640 |
0.0526 |
1562 |
0.0405 |
6742 |
0.0242 |
0428 |
55 |
56 |
0.0650 |
7276 |
0.0498 |
7263 |
0.0382 |
7115 |
0.0226 |
2083 |
56 |
57 |
0.0619 |
7406 |
0.0472 |
7263 |
0.0361 |
0486 |
0.0211 |
4096 |
57 |
58 |
0.0590 |
2291 |
0.0448 |
0818 |
0.0340 |
61 19 |
0.0197 |
5791 |
58 |
59 |
0.0562 |
1230 |
0.0424 |
7221 |
0.0321 |
3320 |
0.0184 |
6533 |
59 |
60 |
0.0535 |
3552 |
0.0402 |
5802 |
0.0303 |
1434 |
0.0172 |
5732 |
60 |
61 |
0.0509 |
8621 |
0.0381 |
5926 |
0.0285 |
9843 |
0.0161 |
2834 |
61 |
62 |
0.0485 |
5830 |
0.0361 |
6992 |
0.0269 |
7965 |
0.0150 |
7321 |
62 |
63 |
0.0462 |
4600 |
0.0342 |
8428 |
0.0254 |
5250 |
0.0140 |
8711 |
63 |
64 |
0.0440 |
4381 |
0.0324 |
9695 |
0.0240 |
1 179 |
0.0131 |
6553 |
64 |
65 |
0.0419 |
4648 |
0.0308 |
0279 |
0.0226 |
5264 |
0.0123 |
0423 |
65 |
66 |
0.0399 |
4903 |
0.0291 |
9696 |
0.0213 |
7041 |
0.0114 |
9928 |
66 |
67 |
0.0380 |
4670 |
0.0276 |
7485 |
0.0201 |
6077 |
0.0107 |
4699 |
67 |
68 |
0.0362 |
3495 |
0.0262 |
3208 |
0.0190 |
1959 |
0.0100 |
4392 |
68 |
69 |
0.0345 |
0948 |
0.0248 |
6453 |
0.0179 |
4301 |
0.0093 |
8684 |
69 |
70 |
0.0328 |
6617 |
0.0235 |
6828 |
0.0169 |
2737 |
0.0087 |
7275 |
70 |
71 |
0.0313 |
0111 |
0.0223 |
3960 |
0.0159 |
6921 |
0.0081 |
9883 |
71 |
72 |
0.0298 |
1058 |
0.0211 |
7498 |
0.0150 |
6530 |
0.0076 |
6246 |
72 |
73 |
0.0283 |
9103 |
0.0200 |
7107 |
0.0142 |
1254 |
0.0071 |
61 17 |
73 |
74 |
0.0270 |
3908 |
0.0190 |
2471 |
0.0134 |
0806 |
0.0066 |
9269 |
74 |
75 |
0.0257 |
5150 |
0.0180 |
3290 |
0.0126 |
4911 |
0.0062 |
5485 |
75 |
76 |
0.0245 |
2524 |
0.0170 |
9279 |
0.0119 |
3313 |
0.0058 |
4565 |
76 |
77 |
0.0233 |
5737 |
0.0162 |
0170 |
0.0112 |
5767 |
0.0054 |
6323 |
77 |
78 |
0.0222 |
4512 |
0.0153 |
5706 |
0.0106 |
2044 |
0.0051 |
0582 |
78 |
79 |
0.0211 |
8582 |
0.0145 |
5646 |
0.0100 |
1928 |
0.0047 |
7179 |
79 |
80 |
0.0201 |
7698 |
0.0137 |
9759 |
0.0094 |
5215 |
0.0044 |
5962 |
80 |
81 |
0.0192 |
1617 |
0.0130 |
7828 |
0.0089 |
1713 |
0.0041 |
6787 |
81 |
82 |
0.0183 |
01 11 |
0.0123 |
9648 |
0.0084 |
1238 |
0.0038 |
9520 |
82 |
83 |
0.0174 |
2963 |
0.0117 |
5022 |
0.0079 |
3621 |
0.0036 |
4038 |
83 |
84 |
0.0165 |
9965 |
0.0111 |
3765 |
0.0074 |
8699 |
0.0034 |
0222 |
84 |
85 |
0.0158 |
0919 |
0.0105 |
5701 |
0.0070 |
6320 |
0.0031 |
7965 |
85 |
86 |
0.0150 |
5637 |
0.0100 |
0664 |
0.0066 |
6340 |
0.0029 |
7163 |
86 |
87 |
0.0143 |
3940 |
0.0094 |
8497 |
0.0062 |
8622 |
0.0027 |
7723 |
87 |
88 |
0.0136 |
5657 |
0.0089 |
9049 |
0.0059 |
3040 |
0.0025 |
9554 |
88 |
89 |
0.0130 |
0626 |
0.0085 |
2180 |
0.0055 |
9472 |
0.0024 |
2574 |
89 |
90 |
0.0123 |
8691 |
0.0080 |
7753 |
0.0052 |
7803 |
0.0022 |
6704 |
90 |
91 |
0.0117 |
9706 |
0.0076 |
5643 |
0.0049 |
7928 |
0.0021 |
1873 |
91 |
92 |
0.0112 |
3530 |
0.0072 |
5728 |
0.0046 |
9743 |
0.0019 |
8012 |
92 |
93 |
0.0107 |
0028 |
0.0068 |
7894 |
0.0044 |
3154 |
0.0018 |
5058 |
93 |
94 |
0.0101 |
9074 |
0.0065 |
2032 |
0.0041 |
8070 |
0.0017 |
2952 |
94 |
95 |
0.0097 |
0547 |
0.0061 |
8040 |
0.0039 |
4405 |
0.0016 |
1637 |
95 |
96 |
0.0092 |
4331 |
0.0058 |
5820 |
0.0037 |
2081 |
0.0015 |
1063 |
96 |
97 |
0.0088 |
0315 |
0.0055 |
5279 |
0.0035 |
1019 |
0.0014 |
1180 |
97 |
98 |
0.0083 |
8395 |
0.0052 |
6331 |
0.0033 |
1150 |
0.0013 |
1944 |
98 |
99 |
0.0079 |
8471 |
0.0049 |
8892 |
0.0031 |
2406 |
0.0012 |
3312 |
99 |
100 |
0.0076 |
0449 |
0.0047 |
2883 |
0.0029 |
4723 |
0.0011 |
5245 |
100 |
23
Amount of 1 per Annum at Compound Interest
TABLE III.
Til
[(l + i)"-l]/i
n |
1% |
1 Vt" |
1^% |
1 3^t- |
n |
||||
1 |
1.0000 |
0000 |
, 1.0000 |
0000 |
1.0000 |
0000 |
1.0000 |
0000 |
1 |
2 |
2.0100 |
0000 |
2.0125 |
0000 |
2.0150 |
0000 |
2.0175 |
0000 |
2 |
3 |
3.0301 |
0000 |
3.0376 |
5625 |
3.0452 |
2500 |
3.0528 |
0625 |
3 |
4 |
4.0604 |
0100 |
4.0756 |
2695 |
4.0909 |
0338 |
4.1062 |
3036 |
4 |
5 |
5.1010 |
0501 |
5.1265 |
7229 |
5.1522 |
6693 |
5.1780 |
8939 |
5 |
6 |
6.1520 |
1506 |
6.1906 |
5444 |
6.2295 |
5093 |
6.2687 |
0596 |
6 |
7 |
7.2135 |
3521 |
7.2680 |
3762 |
7.3229 |
9419 |
7.3784 |
0831 |
7 |
8 |
8.2856 |
7056 |
8.3588 |
8809 |
8.4328 |
3911 |
8.5075 |
3045 |
8 |
9 |
9.3685 |
2727 |
9.4633 |
7420 |
9.5593 |
3169 |
9.6564 |
1224 |
9 |
10 |
10.4622 |
1254 |
10.5816 |
6637 |
10.7027 |
2167 |
10.8253 |
9945 |
10 |
11 |
11.5668 |
3467 |
11.7139 |
3720 |
11.8632 |
6249 |
12.0148 |
4394 |
1 1 |
12 |
12.6825 |
0301 |
12.8603 |
6142 |
13.0412 |
1 143 |
13.2251 |
0371 |
12 |
13 |
13.8093 |
2804 |
14.0211 |
1594 |
14.2368 |
2960 |
14.4565 |
4303 |
13 |
14 |
14.9474 |
2132 |
15.1963 |
7988 |
15.4503 |
8205 |
15.7095 |
3253 |
14 |
15 |
16.0968 |
9554 |
16.3863 |
3463 |
16.6821 |
3778 |
16.9844 |
4935 |
15 |
16 |
17.2578 |
6449 |
17.591 1 |
6382 |
17.9323 |
6984 |
18.2816 |
7721 |
16 |
17 |
18.4304 |
4314 |
18.8110 |
5336 |
19.2013 |
5539 |
19.6016 |
0656 |
17 |
18 |
19.6147 |
4757 |
20.0461 |
9153 |
20.4893 |
7572 |
20.9446 |
3468 |
18 |
19 |
20.8108 |
9504 |
21.2967 |
6893 |
21.7967 |
1636 |
22.3111 |
6578 |
19 |
20 |
22.0190 |
0399 |
22.5629 |
7854 |
23.1236 |
6710 |
23.7016 |
1119 |
20 |
21 |
23.2391 |
9403 |
23.8450 |
1577 |
24.4705 |
2211 |
25.1163 |
8938 |
21 |
22 |
24.4715 |
8598 |
25.1430 |
7847 |
25.8375 |
7994 |
26.5559 |
2620 |
22 |
23 |
25.7163 |
0183 |
26.4573 |
6695 |
27.2251 |
4364 |
28.0206 |
5490 |
23 |
24 |
26.9734 |
6485 |
27.7880 |
8403 |
28.6335 |
2080 |
29.5110 |
1637 |
24 |
25 |
28.2431 |
9950 |
29.1354 |
3508 |
30.0630 |
2361 |
31.0274 |
5915 |
25 |
26 |
29.5256 |
3150 |
30.4996 |
2802 |
31.5139 |
6896 |
32.5704 |
3969 |
26 |
27 |
30.8208 |
8781 |
31.8808 |
7337 |
32.9866 |
7850 |
34.1404 |
2238 |
27 |
28 |
32.1290 |
9669 |
33.2793 |
8429 |
34.4814 |
7867 |
35.7378 |
7977 |
28 |
29 |
33.4503 |
8766 |
34.6953 |
7659 |
35.9987 |
0085 |
37.3632 |
9267 |
29 |
30 |
34.7848 |
9153 |
36.1290 |
6880 |
37.5386 |
8137 |
39.0171 |
5029 |
30 |
31 |
36.1327 |
4045 |
37.5806 |
8216 |
39.1017 |
6159 |
40.6999 |
5042 |
31 |
32 |
37.4940 |
6785 |
39.0504 |
4069 |
40.6882 |
8801 |
42.4121 |
9955 |
32 |
33 |
38.8690 |
0853 |
40.5385 |
7120 |
42.2986 |
1233 |
44.1544 |
1305 |
33 |
34 |
40.2576 |
9862 |
42.0453 |
0334 |
43.9330 |
9152 |
45.9271 |
1527 |
34 |
35 |
41.6602 |
7560 |
43.5708 |
6963 |
45.5920 |
8789 |
47.7308 |
3979 |
35 |
36 |
43.0768 |
7836 |
45.1155 |
0550 |
47.2759 |
6921 |
49.5661 |
2949 |
36 |
37 |
44.5076 |
4714 |
46.6794 |
4932 |
48.9851 |
0874 |
51.4335 |
3675 |
37 |
38 |
45.9527 |
2361 |
48.2629 |
4243 |
50.7198 |
8538 |
53.3336 |
2365 |
38 |
39 |
47.4122 |
5085 |
49.8662 |
2921 |
52.4806 |
8366 |
55.2669 |
6206 |
39 |
40 |
48.8863 |
7336 |
51.4895 |
5708 |
54.2678 |
9391 |
57.2341 |
3390 |
40 |
41 |
50.3752 |
3709 |
53.1331 |
7654 |
56.0819 |
1232 |
59.2357 |
3124 |
41 |
42 |
51.8789 |
8946 |
54.7973 |
4125 |
57.9231 |
4100 |
61.2723 |
5654 |
42 |
43 |
53.3977 |
7936 |
56.4823 |
0801 |
59.7919 |
8812 |
63.3446 |
2278 |
43 |
44 |
54.9317 |
5715 |
58.1883 |
3687 |
61.6888 |
6794 |
65.4531 |
5367 |
44 |
45 |
56.4810 |
7472 |
59.9156 |
9108 |
63.6142 |
0096 |
67.5985 |
8386 |
45 |
46 |
58.0458 |
8547 |
61.6646 |
3721 |
65.5684 |
1398 |
69.7815 |
5908 |
46 |
47 |
59.6263 |
4432 |
63.4354 |
4518 |
67.5519 |
4018 |
72.0027 |
3637 |
47 |
48 |
61.2226 |
0777 |
65.2283 |
8824 |
69.5652 |
1929 |
74.2627 |
8425 |
48 |
49 |
62.8348 |
3385 |
67.0437 |
4310 |
71.6086 |
9758 |
76.5623 |
8298 |
49 |
50 |
64.4631 |
8218 |
68.8817 |
8989 |
73.6828 |
2804 |
78.9022 |
2468 |
50 |
24
Amount of 1 per Annum at Compound Interest
TABLE III. ^r = [(! + ')"- 1] '
n |
I'c |
ih7c |
ih% |
1%% |
II |
||||
51 |
66.1078 |
1401 |
70.7428 |
1226 |
75.7880 |
7046 |
81.2830 |
1361 |
51 |
52 |
67.7688 |
9215 |
72.6270 |
9741 |
77.9248 |
9152 |
83.7054 |
6635 |
52 |
53 |
69.4465 |
8107 |
74.5349 |
3613 |
80.0937 |
6489 |
86.1703 |
1201 |
53 |
54 |
71.1410 |
4688 |
76.4666 |
2283 |
82.2951 |
7136 |
88.6782 |
9247 |
54 |
55 |
72.8524 |
5735 |
78.4224 |
5562 |
84.5295 |
9893 |
91.2301 |
6259 |
55 |
56 |
74.5809 |
8192 |
80.4027 |
3631 |
86.7975 |
4292 |
93.8266 |
9043 |
56 |
57 |
76.3267 |
9174 |
82.4077 |
7052 |
89.0995 |
0606 |
96.4686 |
5752 |
57 |
58 |
78.0900 |
5966 |
84.4378 |
6765 |
91.4359 |
9865 |
99.1568 |
5902 |
58 |
59 |
79.8709 |
6025 |
86.4933 |
4099 |
93.8075 |
3863 |
101.8921 |
0405 |
59 |
60 |
81.6696 |
6986 |
88.5745 |
0776 |
96.2146 |
5171 |
104.6752 |
1588 |
60 |
61 |
83.4863 |
6655 |
90.6816 |
8910 |
98.6578 |
7149 |
107.5070 |
3215 |
61 |
62 |
85.3212 |
3022 |
92.8152 |
1022 |
101.1377 |
3956 |
110.3884 |
0522 |
62 |
63 |
87.1744 |
4252 |
94.9754 |
0034 |
103.6548 |
0565 |
113.3202 |
0231 |
63 |
64 |
89.0461 |
8695 |
97.1625 |
9285 |
106.2096 |
2774 |
116.3033 |
0585 |
64 |
65 |
90.9366 |
4882 |
99.3771 |
2526 |
108.8027 |
7215 |
119.3386 |
1370 |
65 |
66 |
92.8460 |
1531 |
101.6193 |
3933 |
111.4348 |
1374 |
122.4270 |
3944 |
66 |
67 |
94.7744 |
7546 |
103.8895 |
8107 |
1 14.1063 |
3594 |
125.5695 |
1263 |
67 |
68 |
96.7222 |
2021 |
106.1882 |
0083 |
1 16.8179 |
3098 |
128.7669 |
7910 |
68 |
69 |
98.6894 |
4242 |
108.5155 |
5334 |
1 19.5701 |
9995 |
132.0204 |
0124 |
69 |
70 |
100.6763 |
3684 |
110.8719 |
9776 |
122.3637 |
5295 |
135.3307 |
5826 |
70 |
71 |
102.6831 |
0021 |
113.2578 |
9773 |
125.1992 |
0924 |
138.6990 |
4653 |
71 |
72 |
104.7099 |
3121 |
115.6736 |
2145 |
128.0771 |
9738 |
142.1262 |
7984 |
72 |
73 |
106.7570 |
3052 |
1 18.1 195 |
4172 |
130.9983 |
5534 |
145.6134 |
8974 |
73 |
74 |
108.8246 |
0083 |
120.5960 |
3599 |
133.9633 |
3067 |
149.1617 |
2581 |
74 |
75 |
110.9128 |
4684 |
123.1034 |
8644 |
136.9727 |
8063 |
152.7720 |
5601 |
75 |
76 |
113.0219 |
7530 |
125.6422 |
8002 |
140,0273 |
7234 |
156.4455 |
6699 |
76 |
77 |
115.1521 |
9506 |
128.2128 |
0852 |
143.1277 |
8292 |
160.1833 |
6441 |
77 |
78 |
117.3037 |
1701 |
130.8154 |
6863 |
146.2746 |
9967 |
163.9865 |
7329 |
78 |
79 |
119.4767 |
5418 |
133.4506 |
6199 |
149.4688 |
2016 |
167.8563 |
3832 |
79 |
80 |
121.6715 |
2172 |
136.1 187 |
9526 |
152.7108 |
5247 |
171.7938 |
2424 |
80 |
81 |
123.8882 |
3694 |
138.8202 |
8020 |
156.0015 |
1525 |
175.8002 |
1617 |
81 |
82 |
126.1271 |
1931 |
141.5555 |
3370 |
159.3415 |
3798 |
179.8767 |
1995 |
82 |
83 |
128.3883 |
9050 |
144.3249 |
7787 |
162.7316 |
6105 |
184.0245 |
6255 |
83 |
84 |
130.6722 |
7440 |
147.1290 |
4010 |
166.1726 |
3597 |
188.2449 |
9239 |
84 |
85 |
132.9789 |
9715 |
149.9681 |
5310 |
169.6652 |
2551 |
192.5392 |
7976 |
85 |
86 |
135.3087 |
8712 |
152.8427 |
5501 |
173.2102 |
0389 |
196.9087 |
1716 |
86 |
87 |
137.6618 |
7499 |
155.7532 |
8945 |
176.8083 |
5695 |
201.3546 |
1971 |
87 |
88 |
140.0384 |
9374 |
158.7002 |
0557 |
180.4604 |
8230 |
205.8783 |
2555 |
88 |
89 |
142.4388 |
7868 |
161.6839 |
5814 |
184.1673 |
8954 |
210.481 1 |
9625 |
89 |
90 |
144.8632 |
6746 |
164.7050 |
0762 |
187.9299 |
0038 |
215.1646 |
1718 |
90 |
91 |
147.31 19 |
0014 |
167.7638 |
2021 |
191.7488 |
4889 |
219.9299 |
9798 |
91 |
92 |
149.7850 |
1914 |
170.8608 |
6796 |
195.6250 |
8162 |
224.7787 |
7295 |
92 |
93 |
152.2828 |
6933 |
173.9966 |
2881 |
199.5594 |
5784 |
229.7124 |
0148 |
93 |
94 |
154.8056 |
9803 |
177.1715 |
8667 |
203.5528 |
4971 |
234.7323 |
6850 |
94 |
95 |
157.3537 |
5501 |
180.3862 1 |
3151 |
207.6061 |
4246 |
239.8401 |
8495 |
95 |
96 |
159.9272 |
9256 |
183.6410 |
5940 |
211.7202 |
3459 |
245.0373 |
8819 |
96 |
97 |
162.5265 |
6548 |
186.9365 |
7264 |
215.8960 |
3811 |
250.3255 |
4248 |
97 |
98 |
165.1518 |
31 14 |
190.2732 |
7980 |
220.1344 |
7868 |
255.7062 |
3947 |
98 |
99 |
167.8033 |
4945 |
193.6516 |
9580 |
224.4364 |
9586 |
261.1810 |
9866 |
99 |
100 |
170.4813 |
8294 |
197.0723 |
4200 |
228.8030 |
4330 |
266.7517 |
6789 |
100 |
Amount of 1 per Annum at Compound Interest
TABLE III. -^_ = [(l+0"-l]A
n |
2% |
2h% |
oi, -t • ^-'2 /O |
2h% |
n |
||
1 |
1.0000 |
0000 |
1.0000 |
0000 |
1.0000 0000 |
1.0000 0000 |
1 |
2 |
2.0200 |
0000 |
2.0225 |
0000 |
2.0250 0000 |
2.0275 0000 |
2 |
3 |
3.0604 |
0000 |
3.0680 |
0625 |
3.0756 2500 |
3.0832 5625 |
3 |
4 |
4.1216 |
0800 |
4.1370 |
3639 |
4.1525 1563 |
4.1680 4580 |
4 |
5 |
5.2040 |
4016 |
5.2301 |
1971 |
5.2563 2852 |
5.2826 6706 |
5 |
6 |
6.3081 |
2096 |
6.3477 |
9740 |
6.3877 3673 |
6.4279 4040 |
6 |
7 |
7.4342 |
8338 |
7.4906 |
2284 |
7.5474 3015 |
7.6047 0876 |
7 |
8 |
8.5829 |
6905 |
8.6591 |
6186 |
8.7361 1590 |
8.8138 3825 |
8 |
9 |
9.7546 |
2843 |
9.8539 |
9300 |
9.9545 1880 |
10.0562 1880 |
9 |
10 |
10.9497 |
2100 |
11.0757 |
0784 |
11.2033 8177 |
11.3327 6482 |
10 |
11 |
12.1687 |
1542 |
12.3249 |
1 127 |
12.4834 6631 |
12.6444 1585 |
11 |
12 |
13.4120 |
8973 |
13.6022 |
2177 |
13.7955 5297 |
13.9921 3729 |
12 |
13 |
14.6803 |
3152 |
14.9082 |
7176 |
15.1404 4179 |
15.3769 2107 |
13 |
14 |
15.9739 |
3815 |
16.2437 |
0788 |
16.5189 5284 |
16.7997 8639 |
14 |
15 |
17.2934 |
1692 |
17.6091 |
9130 |
17.9319 2666 |
18.2617 8052 |
15 |
16 |
18.6392 |
8525 |
19.0053 |
9811 |
19.3802 2483 |
19.7639 7948 |
16 |
17 |
20.0120 |
7096 |
20.4330 |
1957 |
20.8647 3045 |
21.3074 8892 |
17 |
18 |
21.4123 |
1238 |
21.8927 |
6251 |
22.3863 4871 |
22.8934 4487 |
18 |
19 |
22.8405 |
5863 |
23.3853 |
4966 |
23.9460 0743 |
24.5230 1460 |
19 |
20 |
24.2973 |
6980 |
24.91 15 |
2003 |
25.5446 5761 |
26.1973 9750 |
20 |
21 |
25.7833 |
1719 |
26.4720 |
2923 |
27.1832 7405 |
27.9178 2593 |
21 |
22 |
27.2989 |
8354 |
28.0676 |
4989 |
28.8628 5590 |
29.6855 6615 |
22 |
23 |
28.8449 |
6321 |
29.6991 |
7201 |
30.5844 2730 |
31.5019 1921 |
23 |
24 |
30.4218 |
6247 |
31.3674 |
0338 |
32.3490 3798 |
33.3682 2199 |
24 |
25 |
32.0302 |
9972 |
33.0731 |
6996 |
34.1577 6393 |
35.2858 4810 |
25 |
26 |
33.6709 |
0572 |
34.8173 |
1628 |
36.0117 0803 |
37.2562 0892 |
26 |
27 |
35.3443 |
2383 |
36.6007 |
0590 |
37.9120 0073 |
39.2807 5467 |
27 |
28 |
37.0512 |
1031 |
38.4242 |
2178 |
39.8598 0075 |
41.3609 7542 |
28 |
29 |
38.7922 |
3451 |
40.2887 |
6677 |
41.8562 9577 |
43.4984 0224 |
29 |
30 |
40.5680 |
7921 |
42.1952 |
6402 |
43.9027 0316 |
45.6946 0830 |
30 |
31 |
42.3794 |
4079 |
44.1446 |
5746 |
46,0002 7074 |
47.9512 1003 |
31 |
32 |
44.2270 |
2961 |
46.1379 |
1226 |
48.1502 7751 |
50.2698 6831 |
32 |
33 |
46.1 115 |
7020 |
48.1760 |
1528 |
50.3540 3445 |
52.6522 8969 |
33 |
34 |
48.0338 |
0160 |
50.2599 |
7563 |
52.6128 8531 |
55.1002 2765 |
34 |
35 |
49.9944 |
7763 |
52.3908 |
2508 |
54.9282 0744 |
57.6154 8391 |
35 |
36 |
51.9943 |
6719 |
54.5696 |
1864 |
57.3014 1263 |
60.1999 0972 |
36 |
37 |
54.0342 |
5453 |
56.7974 |
3506 |
59.7339 4794 |
62.8554 0724 |
37 |
38 |
56.1149 |
3962 |
59.0753 |
7735 |
62.2272 9664 |
65.5839 3094 |
38 |
39 |
58.2372 |
3841 |
61.4045 |
7334 |
64.7829 7906 |
68.3874 8904 |
39 |
40 |
60.4019 |
8318 |
63.7861 |
7624 |
67.4025 5354 |
71.2681 4499 |
40 |
41 |
62.6100 |
2284 |
66.2213 |
6521 |
70.0876 1737 |
74.2280 1898 |
41 |
42 |
64.8622 |
2330 |
68.7113 |
4592 |
72.8398 0781 |
77.2692 8950 |
42 |
43 |
67.1594 |
6777 |
71.2573 |
5121 |
75.6608 0300 |
80.3941 9496 |
43 |
44 |
69.5026 |
5712 |
73.8606 |
4161 |
78.5523 2308 |
83.6050 3532 |
44 |
45 |
71.8927 |
1027 |
76.5225 |
0605 |
81.5161 3116 |
86.9041 7379 |
45 |
46 |
74.3305 |
6447 |
79.2442 |
6243 |
84.5540 3443 |
90.2940 3857 |
46 |
47 |
76.8171 |
7576 |
82.0272 |
5834 |
87.6678 8530 |
93.7771 2463 |
47 |
48 |
79.3535 |
1927 |
84.8728 |
7165 |
90.8595 8243 |
97.3559 9556 |
48 |
49 |
81.9405 |
8966 |
87.7825 |
1126 |
94.1310 7199 |
101.0332 8544 |
49 |
50 |
84.5794 |
0145 |
90.7576 |
1776 |
97.4843 4879 |
104.8117 0079 |
50 |
26
Amount of 1 per Annum at Compound Interest
TABLE III.
s- = [(l + i)"-l]/i
n |
2% |
2h% |
2h7o |
2%% |
n |
||||
51 |
87.2709 |
8948 |
93.7996 |
6416 |
100.9214 |
5751 |
108.6940 |
2256 |
51 |
52 |
90.0164 |
0927 |
96.9101 |
5661 |
104.4444 |
9395 |
112.6831 |
0818 |
52 |
53 |
92.8167 |
3746 |
100.0906 |
3513 |
108.0556 |
0629 |
116.7818 |
9365 |
53 |
54 |
95.6730 |
7221 |
103.3426 |
7442 |
111.7569 |
9645 |
120.9933 |
9573 |
54 |
55 |
98.5865 |
3365 |
106.6678 |
8460 |
115.5509 |
2136 |
125.3207 |
1411 |
55 |
56 |
101.5582 |
6432 |
110.0679 |
1200 |
119.4396 |
9440 |
129.7670 |
3375 |
56 |
57 |
104.5894 |
2961 |
113.5444 |
4002 |
123.4256 |
8676 |
134.3356 |
2718 |
57 |
58 |
107.6812 |
1820 |
117.0991 |
8992 |
127.5113 |
2893 |
139.0298 |
5692 |
58 |
59 |
110.8348 |
4257 |
120.7339 |
2169 |
131.6991 |
1215 |
143.8531 |
7799 |
59 |
60 |
114.0515 |
3942 |
124.4504 |
3493 |
135.9915 |
8995 |
148.8091 |
4038 |
60 |
61 |
117.3325 |
7021 |
128.2505 |
6972 |
140.3913 |
7970 |
153.9013 |
9174 |
61 |
62 |
120.6792 |
2161 |
132.1362 |
0754 |
144.9011 |
6419 |
159.1336 |
8002 |
62 |
63 |
124.0928 |
0604 |
136.1092 |
7221 |
149.5236 |
9330 |
164.5098 |
5622 |
63 |
64 |
127.5746 |
6216 |
140.1717 |
3083 |
154.2617 |
8563 |
170.0338 |
7726 |
64 |
65 |
131.1261 |
5541 |
144.3255 |
9477 |
159.1183 |
3027 |
175.7098 |
0889 |
65 |
66 |
134.7486 |
7852 |
148.5729 |
2066 |
164.0962 |
8853 |
181.5418 |
2863 |
66 |
67 |
138.4436 |
5209 |
152.9158 |
1137 |
169.1986 |
9574 |
187.5342 |
2892 |
67 |
68 |
142.2125 |
2513 |
157.3564 |
1713 |
174.4286 |
6314 |
193.6914 |
2021 |
68 |
69 |
146.0567 |
7563 |
161.8969 |
3651 |
179.7893 |
7971 |
200.0179 |
3427 |
69 |
70 |
149.9779 |
1114 |
166.5396 |
1758 |
185.2841 |
1421 |
206.5184 |
2746 |
70 |
71 |
153.9774 |
6937 |
171.2867 |
5898 |
190.9162 |
1706 |
213.1976 |
8422 |
71 |
72 |
158.0570 |
1875 |
176.1407 |
1106 |
196.6891 |
2249 |
220.0606 |
2054 |
72 |
73 |
162.2181 |
5913 |
181.1038 |
7705 |
202.6063 |
5055 |
227.1122 |
8760 |
73 |
74 |
166.4625 |
2231 |
186.1787 |
1429 |
208.6715 |
0931 |
234.3578 |
7551 |
74 |
75 |
170.7917 |
7276 |
191.3677 |
3536 |
214.8882 |
9705 |
241.8027 |
1709 |
75 |
76 |
175.2076 |
0821 |
196!6735 |
0941 |
221.2605 |
0447 |
249.4522 |
9181 |
76 |
77 |
179.7117 |
6038 |
202.0986 |
6337 |
227.7920 |
1709 |
257.3122 |
2983 |
77 |
78 |
184.3059 |
9558 |
207.6458 |
8329 |
234.4868 |
1751 |
265.3883 |
1615 |
78 |
79 |
188.9921 |
1549 |
213.3179 |
1567 |
241.3489 |
8795 |
273.6864 |
9485 |
79 |
80 |
193.7719 |
5780 |
219.1175 |
6877 |
248.3827 |
1265 |
282.2128 |
7345 |
80 |
81 |
198.6473 |
9696 |
225.0477 |
1407 |
255.5922 |
8047 |
290.9737 |
2747 |
81 |
82 |
203.6203 |
4490 |
231.1112 |
8763 |
262.9820 |
8748 |
299.9755 |
0498 |
82 |
83 |
208.6927 |
5180 |
237.3112 |
9160 |
270.5566 |
3966 |
309.2248 |
3137 |
83 |
84 |
213.8666 |
0683 |
243.6507 |
9567 |
278.3205 |
5566 |
318.7285 |
1423 |
84 |
85 |
219.1439 |
3897 |
250.1329 |
3857 |
286.2785 |
6955 |
328.4935 |
4837 |
85 |
86 |
224.5268 |
1775 |
256.7609 |
2969 |
294.4355 |
3379 |
338.5271 |
2095 |
86 |
87 |
230.0173 |
5411 |
263.5380 |
5060 |
302.7964 |
2213 |
348.8366 |
1678 |
87 |
88 |
235.6177 |
0119 |
270.4676 |
5674 |
311.3663 |
3268 |
359.4296 |
2374 |
88 |
89 |
241.3300 |
5521 |
277.5531 |
7902 |
320.1504 |
9100 |
370.3139 |
3839 |
89 |
90 |
247.1566 |
5632 |
284.7981 |
2555 |
329.1542 |
5328 |
381.4975 |
7170 |
90 |
91 |
253.0997 |
8944 |
292.2060 |
8337 |
338.3831 |
0961 |
392.9887 |
5492 |
91 |
92 |
259.1617 |
8523 |
299.7807 |
2025 |
347.8426 |
8735 |
404.7959 |
4568 |
92 |
93 |
265.3450 |
2094 |
307.5257 |
8645 |
357.5387 |
5453 |
416.9278 |
3418 |
93 |
94 |
271.6519 |
2135 |
315.4451 |
1665 |
367.4772 |
2339 |
429.3933 |
4962 |
94 |
95 |
278.0849 |
5978 |
323.5426 |
3177 |
377.6641 |
5398 |
442.2016 |
6674 |
95 |
96 |
284.6466 |
5898 |
331.8223 |
4099 |
388.1057 |
5783 |
455.3622 |
1257 |
96 |
97 |
291.3395 |
9216 |
340.2883 |
4366 |
398.8084 |
0177 |
468.8846 |
7342 |
97 |
98 |
298.1663 |
8400 |
348.9448 |
3139 |
409.7786 |
1182 |
482.7790 |
0194 |
98 |
99 |
305.1297 |
1168 |
357.7960 |
9010 |
421.0230 |
7711 |
497.0554 |
2449 |
99 |
100 |
312.2323 |
0591 |
366.8465 |
0213 |
432.5486 |
5404 |
511.7244 |
4867 |
100 |
27
Amount of 1 per Annum at Compound Interest
TABLE III. ■ s^ = [(l+i)"-l] i
n |
3^0 |
4% |
4J^% |
n |
|||||
1 |
1.0000 |
0000 |
1.0000 |
0000 |
1.0000 |
0000 |
1.0000 |
0000 |
1 |
2 |
2.0300 |
0000 |
2.0350 |
0000 |
2.0400 |
0000 |
2.0450 |
0000 |
2 |
3 |
2.0909 |
0000 |
3.1062 |
2500 |
3.1216 |
0000 |
3.1370 |
2500 |
3 |
4 |
4.1836 |
2700 |
4.2149 |
4288 |
4.2464 |
6400 |
4.2781 |
9113 |
4 |
5 |
5.3091 |
3581 |
5.3624 |
6588 |
5.4163 |
2256 |
5.4707 |
0973 |
5 |
6 |
6.4684 |
0988 |
6.5501 |
5218 |
6.6329 |
7546 |
6.7168 |
9166 |
6 |
7 |
7.6624 |
6218 |
7.7794 |
0751 |
7.8992 |
9448 |
8.0191 |
5179 |
7 |
8 |
8.8923 |
3605 |
9.0516 |
8677 |
9.2142 |
2626 |
9.3800 |
1362 |
8 |
9 |
10.1591 |
0613 |
10.3684 |
9581 |
10.5827 |
9531 |
10.8021 |
1423 |
9 |
10 |
1 1.4638 |
7931 |
11.7313 |
9316 |
12.0061 |
0712 |
12.2882 |
0937 |
10 |
11 |
12.8077 |
9569 |
13.1419 |
9192 |
13.4863 |
5141 |
13.8411 |
7879 |
11 |
12 |
14.1920 |
2956 |
14.6019 |
6164 |
15.0258 |
0546 |
15.4650 |
3184 |
12 |
13 |
15.6177 |
9045 |
16.1 130 |
3030 |
16.6268 |
3768 |
17.1599 |
1327 |
13 |
14 |
17.0863 |
2416 |
17.6769 |
8636 |
18.2919 |
11 19 |
18.9321 |
0937 |
14 |
15 |
18.5989 |
1389 |
19.2956 |
8088 |
20.0235 |
8764 |
20.7840 |
5429 |
15 |
16 |
20.1568 |
8130 |
20.9710 |
2971 |
21.8245 |
31 14 |
22.7193 |
3673 |
16 |
17 |
21.7615 |
8774 |
22.7050 |
1575 |
23.6975 |
1239 |
24.7417 |
0689 |
17 |
18 |
23.4144 |
3537 |
24.4996 |
9130 |
25.6454 |
1288 |
26.8550 |
8370 |
18 |
19 |
25.1 168 |
6844 |
26.3571 |
8050 |
27.6712 |
2940 |
29.0635 |
6246 |
19 |
20 |
26.8703 |
7449 |
28.2796 |
8181 |
29.7780 |
7858 |
31.3714 |
2277 |
20 |
21 |
28.6764 |
8572 |
30.2694 |
7068 |
31.9692 |
1072 |
33.7831 |
3680 |
21 |
22 |
30.5367 |
8030 |
32.3289 |
0215 |
34.2479 |
6979 |
36.3033 |
7795 |
22 |
23 |
32.4528 |
8370 |
34.4604 |
1373 |
36.6178 |
8858 |
38.9370 |
2996 |
23 |
24 |
34.4264 |
7022 |
36.6665 |
2821 |
39.0826 |
0412 |
41.6891 |
9631 |
24 |
25 |
36.4592 |
6432 |
38.9498 |
5669 |
41.6459 |
0829 |
44.5652 |
1015 |
25 |
26 |
38.5530 |
4225 |
41.3131 |
0168 |
44.31 17 |
4il62 |
47.5706 |
4460 |
26 |
27 |
40.7096 |
3352 |
43.7590 |
6024 |
47.0842 |
1440 |
50.7113 |
2361 |
27 |
28 |
42.9309 |
2252 |
46.2906 |
2734 |
49.9675 |
8298 |
53.9933 |
3317 |
28 |
29 |
45.2188 |
5020 |
48.9107 |
9930 |
52.9662 |
8630 |
57.4230 |
3316 |
29 |
30 |
47.5754 |
1571 |
51.6226 |
7728 |
56.0849 |
3775 |
61.0070 |
6966 |
30 |
31 |
50.0026 |
7818 |
54.4294 |
7098 |
59.3283 |
3526 |
64.7523 |
8779 |
31 |
32 |
52.5027 |
5852 |
57.3345 |
0247 |
62.7014 |
6867 |
68.6662 |
4524 |
32 |
33 |
55.0778 |
4128 |
60.3412 |
1005 |
66.2095 |
2742 |
72.7562 |
2628 |
33 |
34 |
57.7301 |
7652 |
63.4531 |
5240 |
69.8579 |
0851 |
77.0302 |
5646 |
34 |
35 |
60.4620 |
8181 |
66.6740 |
1274 |
73.6522 |
2486 |
81.4966 |
1800 |
35 |
36 |
63.2759 |
4427 |
70.0076 |
0318 |
77.5983 |
1385 |
86.1639 |
6581 |
36 |
37 |
66.1742 |
2259 |
73.4578 |
6930 |
81.7022 |
4640 |
91.0413 |
4427 |
37 |
38 |
69.1594 |
4927 |
77.0288 |
9472 |
85.9703 |
3626 |
96.1382 |
0476 |
38 |
39 |
72.2342 |
3275 |
80.7249 |
0604 |
90.4091 |
4971 |
101.4644 |
2398 |
39 |
40 |
75.4012 |
5973 |
84.5502 |
7775 |
95.0255 |
1570 |
107.0303 |
2306 |
40 |
41 |
78.6632 |
9753 |
88.5095 |
3747 |
99.8265 |
3633 |
1 12.8466 |
8760 |
41 |
42 |
82.0231 |
9645 |
92.6073 |
7128 |
104.8195 |
9778 |
1 18.9247 |
8854 |
42 |
43 |
85.4838 |
9234 |
96.8486 |
2928 |
110.0123 |
8169 |
125.2764 |
0402 |
43 |
44 |
89.0484 |
091 1 |
101.2383 |
3130 |
115.4128 |
7696 |
131.9138 |
4220 |
44 |
45 |
92.7198 |
6139 |
105.7816 |
7290 |
121.0293 |
9204 |
138.8499 |
6510 |
45 |
46 |
96.5014 |
5723 |
1 10.4840 |
3145 |
126.8705 |
6772 |
146.0982 |
1353 |
46 |
47 |
100.3965 |
0095 |
115.3509 |
7255 |
132.9453 |
9043 |
153.6726 |
3314 |
47 |
48 |
104.4083 |
9598 |
120.3882 |
5659 |
139.2632 |
0604 |
161.5879 |
0163 |
48 |
49 |
108.5406 |
4785 |
125.6018 |
4557 |
145.8337 |
3429 |
169.8593 |
5720 |
49 |
50 |
112.7968 |
6729 |
130.9979 |
1016 |
152.6670 |
8366 |
178.5030 |
2828 |
50 |
28
Amount of 1 per Annum at Compound Interest
TABLE III.
s_=[(l + i)"-
n |
3% |
3^% |
4% |
4^% |
n |
||||
51 |
117.1807 |
7331 |
136.5828 |
3702 |
159.7737 |
6700 |
187.5356 |
6455 |
51 |
52 |
121.6961 |
9651 |
142.3632 |
3631 |
167.1647 |
1768 |
196.9747 |
6946 |
52 |
53 |
126.3470 |
8240 |
148.3459 |
4958 |
174.8513 |
0639 |
206.8386 |
3408 |
53 |
54 |
131 .1374 |
9488 |
154.5380 |
5782 |
182.8453 |
5865 |
217.1463 |
7262 |
54 |
55 |
136.0716 |
1972 |
160.9468 |
8984 |
191.1591 |
7299 |
227.9179 |
5938 |
55 |
56 |
141.1537 |
6831 |
167.5800 |
3099 |
199.8055 |
3991 |
239.1742 |
6756 |
56 |
57 |
146.3883 |
8136 |
174.4453 |
3207 |
208.7977 |
6151 |
250.9371 |
0960 |
57 |
58 |
151.7800 |
3280 |
181.5509 |
1869 |
218.1496 |
7197 |
263.2292 |
7953 |
58 |
59 |
157.3334 |
3379 |
188.9052 |
0085 |
227.8756 |
5885 |
276.0745 |
971 1 |
59 |
60 |
163.0534 |
3680 |
196.5168 |
8288 |
237.9906 |
8520 |
289.4979 |
5398 |
60 |
61 |
168.9450 |
3991 |
204.3949 |
7378 |
248.5103 |
1261 |
303.5253 |
6190 |
61 |
62 |
175.0133 |
9110 |
212.5487 |
9786 |
259.4507 |
251 1 |
318.1840 |
0319 |
62 |
63 |
181.2637 |
9284 |
220.9880 |
0579 |
270.8287 |
5412 |
333.5022 |
8333 |
63 |
64 |
187.7017 |
0662 |
229.7225 |
8599 |
282.6619 |
0428 |
349.5098 |
8608 |
64 |
65 |
194.3327 |
5782 |
238.7628 |
7650 |
294.9683 |
8045 |
366.2378 |
3096 |
65 |
66 |
201.1627 |
4055 |
248.1195 |
7718 |
307.7671 |
1567 |
383.7185 |
3335 |
66 |
67 |
208.1976 |
2277 |
257.8037 |
6238 |
321.0778 |
0030 |
401.9858 |
6735 |
67 |
68 |
215.4435 |
5145 |
267.8268 |
9406 |
334.9209 |
1231 |
421.0752 |
3138 |
68 |
69 |
222.9068 |
5800 |
278.2008 |
3535 |
349.3177 |
4880 |
441 .0236 |
1679 |
69 |
70 |
230.5940 |
6374 |
288.9378 |
6459 |
364.2904 |
5876 |
461.8696 |
7955 |
70 |
71 |
238.51 18 |
8565 |
300.0506 |
8985 |
379.8620 |
7711 |
483.6538 |
1513 |
71 |
72 |
246.6672 |
4222 |
311.5524 |
6400 |
396.0565 |
6019 |
506.4182 |
3681 |
72 |
73 |
255.0672 |
5949 |
323.4568 |
0024 |
412.8988 |
2260 |
530.2070 |
5747 |
73 |
74 |
263.7192 |
7727 |
335.7777 |
8824 |
430.4147 |
7550 |
555.0663 |
7505 |
74 |
75 |
272.6308 |
5559 |
348.5300 |
1083 |
448.6313 |
6652 |
581 .0443 |
6193 |
75 |
76 |
281.8097 |
8126 |
361.7285 |
6121 |
467.5766 |
2118 |
608.1913 |
5822 |
76 |
77 |
291.2640 |
7469 |
375.3890 |
6085 |
487.2796 |
8603 |
636.5599 |
6934 |
77 |
78 |
301.0019 |
9693 |
389.5276 |
7798 |
507.7708 |
7347 |
666.2051 |
6796 |
78 |
79 |
311.0320 |
5684 |
404.1611 |
4671 |
529.0817 |
0841 |
697.1844 |
0052 |
79 |
80 |
321.3630 |
1855 |
419.3067 |
8685 |
551.2449 |
7675 |
729.5576 |
9854 |
80 |
81 |
332.0039 |
0910 |
434.9825 |
2439 |
574.2947 |
7582 |
763.3877 |
9497 |
81 |
82 |
342.9640 |
2638 |
451.2069 |
1274 |
598.2665 |
6685 |
798.7402 |
4575 |
82 |
83 |
354.2529 |
4717 |
467.9991 |
5469 |
623.1972 |
2952 |
835.6835 |
5680 |
83 |
84 |
365.8805 |
3558 |
485.3791 |
2510 |
649.1251 |
1870 |
874.2893 |
1686 |
84 |
85 |
377.8569 |
5165 |
503.3673 |
9448 |
676.0901 |
2345 |
914.6323 |
3612 |
85 |
86 |
390.1926 |
6020 |
521.9852 |
5329 |
704.1337 |
2839 |
956.7907 |
9125 |
86 |
87 |
402.8984 |
4001 |
541.2547 |
3715 |
733.2990 |
7753 |
1000.8463 |
7685 |
87 |
88 |
415.9853 |
9321 |
561.1986 |
5295 |
763.6310 |
4063 |
1046.8844 |
6381 |
88 |
89 |
429.4649 |
5500 |
581.8406 |
0581 |
795.1762 |
8225 |
1094.9942 |
6468 |
89 |
90 |
443.3489 |
0365 |
603.2050 |
2701 |
827.9833 |
3354 |
1 145.2690 |
0659 |
90 |
91 |
457.6493 |
7076 |
625.3172 |
0295 |
862.1026 |
6688 |
1 197.8061 |
1 189 |
91 |
92 |
472.3788 |
5189 |
648.2033 |
0506 |
897.5867 |
7356 |
1252.7073 |
8692 |
92 |
93 |
487.5502 |
1744 |
671.8904 |
2073 |
934.4902 |
4450 |
1310.0792 |
1933 |
93 |
94 |
503.1767 |
2397 |
696.4065 |
8546 |
972.8698 |
5428 |
1370.0327 |
8420 |
94 |
95 |
519.2720 |
2569 |
721.7808 |
1595 |
1012.7846 |
4845 |
1432.6842 |
5949 |
95 |
96 |
535.8501 |
8645 |
748.0431 |
4451 |
1054.2960 |
3439 |
1498.1550 |
5117 |
96 |
97 |
552.9256 |
9205 |
775.2246 |
5457 |
1097.4678 |
7577 |
1566.5720 |
2847 |
97 |
98 |
570.5134 |
6281 |
803.3575 |
1748 |
1 142.3665 |
9080 |
1638.0677 |
6976 |
98 |
99 |
588.6288 |
6669 |
832.4750 |
3059 |
1 189.0612 |
5443 |
1712.7808 |
1939 |
99 |
100 |
607.2877 |
3270 |
862.61 16 |
5666 |
1237.6237 |
0461 |
1790.8559 |
5627 |
100 |
Amount of 1 per Aniiuni at Compound Interest
TABLE III. ^ s-=[(l + D"-l]/i
n |
5% |
•> 2 /O |
6',c |
1 IVc |
n |
1 |
1.0000 0000 |
1.0000 0000 |
1.0000 0000 |
1.0000 0000 |
1 |
2 |
2.0500 0000 |
2.0550 0000 |
2.0600 0000 ! |
2.0700 0000 |
2 |
3 |
3.1525 0000 |
3.1680 2500 |
3.1836 0000 |
3.2149 0000 |
3 |
4 |
4.3101 2500 |
4.3422 6638 |
4.3746 1600 |
4.4399 4300 |
4 |
5 |
5.5256 3125 |
5.5810 9103 |
5.6370 9296 |
5.7507 3901 |
5 |
6 |
6.8019 1281 |
6.8880 5103 |
6.9753 1854 |
7.1532 9074 |
6 |
1 7 |
8.1420 0845 |
8.2668 9384 |
8.3938 3765 |
8.6540 2109 |
7 |
8 |
9.5491 0888 |
9.7215 7300 |
9.8974 6791 |
10.2598 0257 |
8 |
9 |
1 1.0265 6432 |
11.2562 5951 |
11.4913 1598 |
11.9779 8875 |
9 |
10 ! |
12.5778 9254 |
12.8753 5379 |
13.1807 9494 |
13.8164 4796 |
10 |
11 |
14.2067 8716 1 |
14.5834 9825 |
14.9716 4264 |
15.7835 9932 |
11 |
12 |
15.9171 2652 |
16.3855 9065 |
16.8699 4120 |
17.8884 5127 |
12 |
13 |
17.7129 8285 |
18.2867 9814 |
18.8821 3767 |
20.1406 4286 |
13 |
14 |
19.5986 3199 |
20.2925 7203 |
21.0150 6593 |
22.5504 8786 |
14 |
15 |
21.5785 6359 |
22.4086 6350 |
23.2759 6988 |
25.1290 2201 |
15 |
16 |
23.6574 9177 |
24.6411 3999 |
25.6725 2808 |
27.8880 5355 |
16 |
17 |
25.8403 6636 |
26.9964 0269 |
28.2128 7976 |
30.8402 1730 |
17 |
18 |
28.1323 8467 |
29.4812 0483 |
30.9056 5255 |
33.9990 3251 |
18 |
19 |
30.5390 0391 |
32.1026 7110 |
33.7599 9170 |
37.3789 6479 |
19 |
20 |
33.0659 5410 |
34.8683 1801 |
36.7855 9120 |
40.9954 9232 |
20 |
21 |
35.7192 5181 |
37.7860 7550 |
39.9927 2668 |
44.8651 7678 |
21 |
22 |
38.5052 1440 |
40.8643 0965 |
43.3922 9028 |
49.0057 3916 |
22 |
23 |
41.4304 7512 |
44.1118 4669 |
46.9958 2769 |
53.4361 4090 |
23 |
24 |
44.5019 9887 |
47.5379 9825 |
50.8155 7735 |
58.1766 7076 |
24 |
25 |
47.7270 9882 |
51.1525 8816 |
54.8645 1200 |
63.2490 3772 |
25 |
26 |
51.1 134 5376 |
54.9659 8051 |
59.1563 8272 |
68.6764 7036 |
26 |
27 |
54.6691 2645 |
58.9891 0943 |
63.7057 6568 |
74.4838 2328 |
27 |
28 |
58.4025 8277 |
63.2335 1045 |
68.5281 1162 |
80.6976 9091 |
28 |
29 |
62.3227 1 191 |
67.7113 5353 |
73.6397 9832 |
87.3465 2927 |
29 |
30 |
66.4388 4750 |
72.4354 7797 |
79.0581 8622 |
94.4607 8632 |
30 |
31 |
70.7607 8988 |
77.4194 2926 |
84.8016 7739 |
102.0730 4137 |
31 |
32 |
75.2988 2937 |
82.6774 9787 |
90.8897 7803 |
110.2181 5426 |
32 |
33 |
80.0637 7084 |
88.2247 6025 |
97.3431 6471 |
1 18.9334 2506 |
33 |
34 |
85.0669 5938 |
94.0771 2207 |
104.1837 5460 |
128.2587 6481 |
34 |
35 |
90.3203 0735 |
100.2513 6378 |
111.4347 7987 |
138.2368 7835 |
35 |
36 |
95.8363 2272 |
106.7651 8879 |
1 19.1208 6666 |
148.9134 5984 |
36 |
37 |
101.6281 3886 |
113.6372 7417 |
127.2681 1866 |
160.3374 0202 |
37 |
38 |
107.7095 4580 |
120.8873 2425 |
135.9042 0578 |
172.5610 2017 |
38 |
39 |
114.0950 2309 |
128.5361 2708 |
145.0584 5813 |
185.6402 9158 |
39 |
40 |
120.7997 7424 |
136.6056 1407 |
154.7619 6562 |
199.6351 1199 |
40 |
41 |
127.8397 6295 |
145.1 189 2285 |
165.0476 8356 |
214.6095 6983 |
41 |
42 |
135.2317 51 10 |
154.1004 6360 |
175.9505 4457 |
230.6322 3972 |
42 |
43 |
142.9933 3866 |
163.5759 8910 |
187.5075 7724 |
247.7764 9650 |
43 |
44 |
151.1430 0559 |
173.5726 6850 |
199.7580 3188 |
266.1208 5125 |
44 |
45 |
159.7001 5587 |
184.1191 6527 |
212.7435 1379 |
285.7493 1084 |
45 |
46 |
168.6851 6366 |
195.2457 1936 |
226.5081 2462 |
306.7517 6260 |
46 |
47 |
178.1 194 2185 |
206.9842 3392 |
241.0986 1210 |
329.2243 8598 |
47 |
48 |
188.0253 9294 |
219.3683 6679 |
256.5645 2882 |
353.2700 9300 |
48 |
49 |
198.4266 6259 |
232.4336 2696 |
272.9584 0055 |
378.9989 9951 |
49 |
50 |
209.3479 9572 |
246.2174 7645 |
290.3359 0458 |
406.5289 2947 |
50 |
30
Amount of 1 per Annum at Compound Interest TABLE III. s-, = [(l + i)"-l]/i
n |
5% |
5H% |
6% |
7% |
n |
||||
51 |
220.8153 |
9550 |
260.7594 |
3765 |
308.7560 |
5886 |
435.9858 |
5454 |
51 |
52 |
232.8561 |
6528 |
276.1012 |
0672 |
328.2814 |
2239 |
467.5049 |
7135 |
52 |
53 |
245.4989 |
7354 |
292.2867 |
7309 |
348.9783 |
0773 |
501.2303 |
1935 |
53 |
54 |
258.7739 |
2222 |
309.3625 |
4561 |
370.9170 |
0620 |
537.3164 |
4170 |
54 |
55 |
272.7126 |
1833 |
327.3774 |
8562 |
394.1720 |
2657 |
575.9285 |
9262 |
55 |
56 |
287.3482 |
4924 |
346.3832 |
4733 |
418.8223 |
4816 |
617.2435 |
9410 |
56 |
57 |
302.7156 |
6171 |
366.4343 |
2593 |
444.9516 |
8905 |
661.4506 |
4569 |
57 |
58 |
318.8514 |
4479 |
387.5882 |
1386 |
472.6487 |
9040 |
708.7521 |
9089 |
58 |
59 |
335.7940 |
1703 |
409.9055 |
6562 |
502.0077 |
1782 |
759.3648 |
4425 |
59 |
60 |
353.5837 |
1788 |
433.4503 |
7173 |
533.1281 |
8089 |
813.5203 |
8335 |
60 |
61 |
372.2629 |
0378 |
458.2901 |
4217 |
566.1158 |
7174 |
871.4668 |
1019 |
61 |
62 |
391.8760 |
4897 |
484.4960 |
9999 |
601.0828 |
2405 |
933.4694 |
8690 |
62 |
63 |
412.4698 |
5141 |
512.1433 |
8549 |
638.1477 |
9349 |
999.8123 |
5098 |
63 |
64 |
434.0933 |
4398 |
541.31 12 |
7170 |
677.4366 |
61 10 |
1070.7992 |
1555 |
64 |
65 |
456.7980 |
1118 |
572.0833 |
9164 |
719.0828 |
6076 |
1146.7551 |
6064 |
65 |
66 |
480.6379 |
1174 |
604.5479 |
7818 |
763.2278 |
3241 |
1228.0280 |
2188 |
66 |
67 |
505.6698 |
0733 |
638.7981 |
1698 |
810.0215 |
0236 |
1314.9899 |
8341 |
67 |
68 |
531.9532 |
9770 |
674.9320 |
1341 |
859.6227 |
9250 |
1408.0392 |
8225 |
68 |
69 |
559.5509 |
6258 |
713.0532 |
7415 |
912.2001 |
6005 |
1507.6020 |
3201 |
69 |
70 |
588.5285 |
1071 |
753.2712 |
0423 |
967.9321 |
6965 |
1614.1341 |
7425 |
70 |
71 |
618.9549 |
3625 |
795.7011 |
2046 |
1027.0080 |
9983 |
1728.1235 |
6645 |
71 |
72 |
650.9026 |
8306 |
840.4646 |
8209 |
1089.6285 |
8582 |
1850.0922 |
1610 |
72 |
73 |
684.4478 |
1721 |
887.6902 |
3960 |
1156.0063 |
0097 |
1980.5986 |
7123 |
73 |
74 |
719.6702 |
0807 |
937.5132 |
0278 |
1226.3666 |
7903 |
2120.2405 |
7821 |
74 |
75 |
756.6537 |
1848 |
990.0764 |
2893 |
1300.9486 |
7977 |
2269.6574 |
1869 |
75 |
76 |
795.4864 |
0440 |
1045.5306 |
3252 |
1380.0056 |
0055 |
2429.5334 |
3800 |
76 |
77 |
836.2607 |
2462 |
1 104.0348 |
1731 |
1463.8059 |
3659 |
2600.6007 |
7866 |
77 |
78 |
879.0737 |
6085 |
1165.7567 |
3226 |
1552.6342 |
9278 |
2783.6428 |
3316 |
78 |
79 |
924.0274 |
4889 |
1230.8733 |
5254 |
1646.7923 |
5035 |
2979.4978 |
3148 |
79 |
80 |
971.2288 |
2134 |
1299.5713 |
8693 |
1746.5998 |
9137 |
3189.0626 |
7969 |
80 |
81 |
1020.7902 |
6240 |
1372.0478 |
1321 |
1852.3958 |
8485 |
3413.2970 |
6727 |
81 |
82 |
1072.8297 |
7552 |
1448.5104 |
4294 |
1964.5396 |
3794 |
3653.2278 |
6198 |
82 |
83 |
1 127.4712 |
6430 |
1529.1785 |
1730 |
2083.4120 |
1622 |
3909.9538 |
1231 |
83 |
84 |
1184.8448 |
2752 |
1614.2833 |
3575 |
2209.4167 |
3719 |
4184.6505 |
7918 |
84 |
85 |
1245.0870 |
6889 |
1704.0689 |
1921 |
2342.9817 |
4142 |
4478.5761 |
1972 |
85 |
86 |
1308.3414 |
2234 |
1798.7927 |
0977 |
2484.5606 |
4591 |
4793.0764 |
4810 |
86 |
87 |
1374.7584 |
9345 |
1898.7263 |
0881 |
2634.6342 |
8466 |
5129.5917 |
9946 |
87 |
88 |
1444.4964 |
1812 |
2004.1562 |
5579 |
2793.7123 |
4174 |
5489.6632 |
2543 |
88 |
89 |
1517.7212 |
3903 |
2115.3848 |
4986 |
2962.3350 |
8225 |
5874.9396 |
5121 |
89 |
90 |
1594.6073 |
0098 |
2232.7310 |
1660 |
3141.0751 |
8718 |
6287.1854 |
2679 |
90 |
91 |
1675.3376 |
6603 |
2356.5312 |
2252 |
3330.5396 |
9841 |
6728.2884 |
0667 |
91 |
92 |
1760.1045 |
4933 |
2487.1404 |
3976 |
3531.3720 |
8032 |
7200.2685 |
9513 |
92 |
93 |
1849.1097 |
7680 |
2.624.9331 |
6394 |
3744.2544 |
0514 |
7705.2873 |
9679 |
93 |
94 |
1942.5652 |
6564 |
2770.3044 |
8796 |
3969.9096 |
6944 |
8245.6575 |
1457 |
94 |
95 |
2040.6935 |
2892 |
2923.6712 |
3480 |
4209.1042 |
4961 |
8823.8535 |
4059 |
95 |
96 |
2143.7282 |
0537 |
3085.4731 |
5271 |
4462.6505 |
0459 |
9442.5232 |
8843 |
96 |
97 |
2251.9146 |
1564 |
3256.1741 |
7611 |
4731.4095 |
3486 |
10104.4999 |
1862 |
97 |
98 |
2365.5103 |
4642 |
3436.2637 |
5580 |
5016.2941 |
0696 |
10812.8149 |
1292 |
98 |
99 |
2484.7858 |
6374 |
3626.2582 |
6237 |
5318.2717 |
5337 |
11570.7119 |
5683 |
99 |
100 |
2610.0251 |
5693 |
3826.7024 ! |
6680 |
5638.3680 |
5857 |
12381.6617 |
9381 |
100 |
31
Present Value of 1 per Annum at Compound Interest
TABLE IV.
a-=(l-v")/i
n |
1% |
ih% |
ih7c |
1%% |
n |
||||
1 |
0.9900 |
9901 |
0.9876 |
5432 |
0.9852 |
2167 |
0.9828 |
0098 |
1 |
2 |
1.9703 |
9506 |
1.9631 |
1538 |
1.9558 |
8342 |
1.9486 |
9875 |
2 |
3 |
2.9409 |
8521 |
2.9265 |
3371 |
2.9122 |
0042 |
2.8979 |
8403 |
3 |
4 |
3.9019 |
6555 |
3.8780 |
5798 |
3.8543 |
8465 |
3.8309 |
4254 |
4 |
5 |
4.8534 |
3124 |
4.8178 |
3504 |
4.7826 |
4497 |
4.7478 |
5508 |
5 |
6 |
5.7954 |
7647 |
5.7460 |
0992 |
5.6971 |
8717 |
5.6489 |
9762 |
6 |
7 |
6.7281 |
9453 |
6.6627 |
2585 |
6.5982 |
1396 |
6.5346 |
4139 |
7 |
8 |
7.6516 |
7775 |
7.5681 |
2429 |
7.4859 |
2508 |
7.4050 |
5297 |
8 |
9 |
8.5660 |
1758 |
8.4623 |
4498 |
8.3605 |
1732 |
8.2604 |
9432 |
9 |
10 |
9.4713 |
0453 |
9.3455 |
2591 |
9.2221 |
8455 |
9.1012 |
2291 |
10 |
11 |
10.3676 |
2825 |
10.2178 |
0337 |
10.0711 |
1779 |
9.9274 |
9181 |
11 |
12 |
11.2550 |
7747 |
11.0793 |
1 197 |
10.9075 |
0521 |
10.7395 |
4969 |
12 |
13 |
12.1337 |
4007 |
11.9301 |
8466 |
11.7315 |
3222 |
1 1.5376 |
4097 |
13 |
14 |
13.0037 |
0304 |
12.7705 |
5275 |
12.5433 |
8150 |
12.3220 |
0587 |
14 |
15 |
13.8650 |
5252 |
13.6005 |
4592 |
13.3432 |
3301 |
13.0928 |
8046 |
15 |
16 |
14.7178 |
7378 |
14.4202 |
9227 |
14.1312 |
6405 |
13.8504 |
9677 |
16 |
17 |
15.5622 |
5127 |
15.2299 |
1829 |
14.9076 |
4931 |
14.5950 |
8282 |
17 |
18 |
16.3982 |
6858 |
16.0295 |
4893 |
15.6725 |
6089 |
15.3268 |
6272 |
18 |
19 |
17.2260 |
0850 |
16.8193 |
0759 |
16.4261 |
6837 |
16.0460 |
5673 |
19 |
20 |
18.0455 |
5297 |
17.5993 |
1613 |
17.1686 |
3879 |
16.7528 |
8130 |
20 |
21 |
18.8569 |
8313 |
18.3696 |
9495 |
17.9001 |
3673 |
17.4475 |
4919 |
21 |
22 |
19.6603 |
7934 |
19.1305 |
6291 |
18.6208 |
2437 |
18.1302 |
6948 |
22 |
33 |
20.4558 |
2113 |
19.8820 |
3744 |
19.3308 |
6145 |
18.8012 |
4764 |
23 |
24 |
21.2433 |
8726 |
20.6242 |
3451 |
20.0304 |
0537 |
19.4606 |
8565 |
24 |
25 |
22.0231 |
5570 |
21.3572 |
6865 |
20.7196 |
1120 |
20.1087 |
8196 |
25 |
26 |
22.7952 |
0366 |
22.0812 |
5299 |
21.3986 |
3172 |
20.7457 |
3166 |
26 |
27 |
23.5596 |
0759 |
22.7962 |
9925 |
22.0676 |
1746 |
21.3717 |
2644 |
27 |
28 |
24.3164 |
4316 |
23.5025 |
1778 |
22.7267 |
1671 |
21.9869 |
5474 |
28 |
29 |
25.0657 |
8530 |
24.2000 |
1756 |
23.3760 |
7558 |
22.5916 |
0171 |
29 |
30 |
25.8077 |
0822 |
24.8889 |
0623 |
24.0158 |
3801 |
23.1858 |
4934 |
30 |
31 |
26.5422 |
8537 |
25.5692 |
9010 |
24.6461 |
4582 |
23.7698 |
7650 |
31 |
32 |
27.2695 |
8947 |
26.2412 |
7418 |
25.2671 |
3874 |
24.3438 |
5897 |
32 |
33 |
27.9896 |
9255 |
26.9049 |
6215 |
25.8789 |
5442 |
24.9079 |
6951 |
33 |
34 |
28.7026 |
6589 |
27.5604 |
5644 |
26.4817 |
2849 |
25.4623 |
7789 |
34 |
35 |
29.4085 |
8009 |
28.2078 |
5822 |
27.0755 |
9458 |
26.0072 |
5100 |
35 |
36 |
30.1075 |
0504 |
28.8472 |
6737 |
27.6606 |
8431 |
26.5427 |
5283 |
36 |
37 |
30.7995 |
0994 |
29.4787 |
8259 |
28.2371 |
2740 |
27.0690 |
4455 |
37 |
38 |
31.4846 |
6330 |
30.1025 |
0133 |
28.8050 |
5163 |
27.5862 |
8457 |
38 |
39 |
32.1630 |
3298 |
30.7185 |
1983 |
29.3645 |
8288 |
28.0946 |
2857 |
39 |
40 |
32.8346 |
8611 |
31.3269 |
3316 |
29.9158 |
4520 |
28.5942 |
2955 |
40 |
41 |
33.4996 |
8922 |
31.9278 |
3522 |
30.4589 |
6079 |
29.0852 |
3789 |
41 |
42 |
34.1581 |
0814 |
32.5213 |
1874 |
30.9940 |
5004 |
29.5678 |
0136 |
42 |
43 |
34.8100 |
0806 |
33.1074 |
7530 |
31.5212 |
3157 |
30.0420 |
6522 |
43 |
44 |
35.4554 |
5352 |
33.6863 |
9536 |
32.0406 |
2223 |
30.5081 |
7221 |
44 |
45 |
36.0945 |
0844 |
34.2581 |
6825 |
32.5523 |
3718 |
30.9662 |
6261 |
45 |
46 |
36.7272 |
3608 |
34.8228 |
8222 |
33.0564 |
8983 |
31.4164 |
7431 |
46 |
47 |
37.3536 |
9909 |
35.3806 |
2442 |
33.5531 |
9195 |
31.8589 |
4281 |
47 |
48 |
37.9739 |
5949 |
35.9314 |
8091 |
34.0425 |
5365 |
32.2938 |
0129 |
48 |
49 |
38.5880 |
7871 |
36.4755 |
3670 |
34.5246 |
8339 |
32.721 1 |
8063 |
49 |
50 |
39.1961 |
1753 |
37.0128 |
7574 |
34.9996 |
8807 |
33.1412 |
0946 |
50 |
.32
Present Value of 1 per Annum at Compound Interest
TABLE IV. a =(l-v")/i
n |
1% |
ih% |
ih% |
.1%% |
n |
||||
51 |
39.7981 |
3617 |
37.5435 |
8099 |
35.4676 |
7298 |
33.5540 |
1421 |
51 |
52 |
40.3941 |
9423 |
38.0677 |
3431 |
35.9287 |
4185 |
33.9597 |
1913 |
52 |
53 |
40.9843 |
5072 |
38.5854 |
1660 |
36.3829 |
9690 |
34.3584 |
4633 |
53 |
54 |
41.5686 |
6408 |
39.0967 |
0776 |
36.8305 |
3882 |
34.7503 |
1579 |
54 |
55 |
42.1471 |
9216 |
39.6016 |
8667 |
37.2714 |
6681 |
35.1354 |
4550 |
55 |
56 |
42.7199 |
9224 |
40.1004 |
3128 |
37.7058 |
7863 |
35.5139 |
5135 |
56 |
57 |
43.2871 |
2102 |
40.5930 |
1855 |
38.1338 |
7058 |
35.8859 |
4727 |
57 |
58 |
43.8486 |
3468 |
41.0795 |
2449 |
38.5555 |
3751 |
36.2515 |
4523 |
58 |
59 |
44.4045 |
8879 |
41 .5600 |
2419 |
38.9709 |
7292 |
36.6108 |
5526 |
59 |
60 |
44.9550 |
3841 |
42.0345 |
9179 |
39.3802 |
6889 |
36.9639 |
8552 |
60 |
61 |
45.5000 |
3803 |
42.5033 |
0054 |
39.7835 |
1614 |
37.3110 |
4228 |
61 |
62 |
46.0396 |
4161 |
42.9662 |
2275 |
40.1808 |
0408 |
37.6521 |
3000 |
62 |
63 |
46.5739 |
0258 |
43.4234 |
2988 |
40.5722 |
2077 |
37.9873 |
5135 |
63 |
64 |
47.1028 |
7385 |
43.8749 |
9247 |
40.9578 |
5298 |
38.3168 |
0723 |
64 |
65 |
47.6266 |
0777 |
44.3209 |
8022 |
41.3377 |
8618 |
38.6405 |
9678 |
65 |
66 |
48.1451 |
5621 |
44.7614 |
6195 |
41.7121 |
0461 |
38.9588 |
1748 |
66 |
67 |
48.6585 |
7050 |
45.1965 |
0563 |
42.0808 |
9125 |
39.2715 |
6509 |
67 |
68 |
49.1669 |
0149 |
45.6261 |
7840 |
42.4442 |
2783 |
39.5789 |
3375 |
68 |
69 |
49.6701 |
9949 |
46.0505 |
4656 |
42.8021 |
9490 |
39.8810 |
1597 |
69 |
70 |
50.1685 |
1435 |
46.4696 |
7562 |
43.1548 |
7183 |
40.1779 |
0267 |
70 |
71 |
50.6618 |
9539 |
46.8836 |
3024 |
43.5023 |
3678 |
40.4696 |
8321 |
71 |
72 |
51.1503 |
9148 |
47.2924 |
7431 |
43.8446 |
6677 |
40.7564 |
4542 |
72 |
73 |
51.6340 |
5097 |
47.6962 |
7093 |
44.1819 |
3771 |
41.0382 |
7560 |
73 |
74 |
52.1 129 |
2175 |
48.0950 |
8240 |
44.5142 |
2434 |
41.3152 |
5857 |
74 |
75 |
52.5870 |
5124 |
48.4889 |
7027 |
44.8416 |
0034 |
41.5874 |
7771 |
75 |
76 |
53.0564 |
8637 |
48.8779 |
9533 |
45.1641 |
3826 |
41.8550 |
1495 |
76 |
77 |
53.5212 |
7364 |
49.2622 |
1761 |
45.4819 |
0962 |
42.1 179 |
5081 |
77 |
78 |
53.9814 |
5905 |
49.6416 |
9640 |
45.7949 |
8485 |
42.3763 |
6443 |
78 |
79 |
54.4370 |
8817 |
50.0164 |
9027 |
46.1034 |
3335 |
42.6303 |
3359 |
79 |
80 |
54.8882 |
0611 |
50.3866 |
5706 |
46.4073 |
2349 |
42.8799 |
3474 |
80 |
81 |
55.3348 |
5753 |
50.7522 |
5389 |
46.7067 |
2265 |
43.1252 |
4298 |
81 |
82 |
55.7770 |
8666 |
51.1 133 |
3717 |
47.0016 |
9720 |
43.3663 |
3217 |
82 |
83 |
56.2149 |
3729 |
51.4699 |
6264 |
47.2923 |
1251 |
43.6032 |
7486 |
83 |
84 |
56.6484 |
5276 |
51.8221 |
8532 |
47.5786 |
3301 |
43.8361 |
4237 |
84 |
85 |
57.0776 |
7600 |
52.1700 |
5958 |
47.8607 |
2218 |
44.0650 |
0479 |
85 |
86 |
57.5026 |
4951 |
52.5136 |
3909 |
48.1386 |
4254 |
44.2899 |
3099 |
86 |
87 |
57.9234 |
1535 |
52.8529 |
7688 |
48.4124 |
5571 |
44.5109 |
8869 |
87 |
88 |
58.3400 |
1520 |
53.1881 |
2531 |
48.6822 |
2237 |
44.7282 |
4441 |
88 |
.89 |
58.7524 |
9030 |
53.5191 |
361 1 |
48.9480 |
0234 |
44.9417 |
6355 |
89 |
90 |
59.1608 |
8148 |
53.8460 |
6035 |
49.2098 |
5452 |
45.1516 |
1037 |
90 |
91 |
59.5652 |
2919 |
54.1689 |
4850 |
49.4678 |
3696 |
45.3578 |
4803 |
91 |
92 |
59.9655 |
7346 |
54.4878 |
5037 |
49.7220 |
0686 |
45.5605 |
3860 |
92 |
93 |
60.3619 |
5392 |
54.8028 |
1518 |
49.9724 |
2055 |
45.7597 |
4310 |
93 |
94 |
60.7544 |
0982 |
55.1 138 |
9154 |
50.2191 |
3355 |
45.9555 |
2147 |
94 |
95 |
61.1429 |
8002 |
55.4211 |
2744 |
50.4622 |
0054 |
46.1479 |
3265 |
95 |
96 |
61.5277 |
0299 |
55.7245 |
7031 |
50.7016 |
7541 |
46.3370 |
3455 |
96 |
97 |
61.9086 |
1682 |
56.0242 |
6698 |
50.9376 |
1 124 |
46.5228 |
8408 |
97 |
98 |
62.2857 |
5923 |
56.3202 |
6368 |
51.1700 |
6034 |
46.7055 |
3718 |
98 |
99 |
62.6591 |
6755 |
56.6126 |
0610 |
51.3990 |
7422 |
46.8850 |
4882 |
99 |
100 |
63.0288 |
7877 |
56.9013 |
3936 |
51.6247 |
0367 |
47.0614 |
7304 |
100 |
33
Present Value of 1 per Annum at Compound Interest
TABLE IV. . a- = (l-v")/i
n |
2% |
2h% |
2h% |
2%% |
n |
1 |
0.9803 9216 |
0.9779 9511 |
0.9756 0976 |
0.9732 3601 |
1 |
2 |
1.9415 6094 |
1.9344 6955 |
1.9274 2415 |
1.9204 2434 |
2 |
3 |
2.8838 8327 |
2.8698 9687 |
2.8560 2356 |
2.8422 6213 |
3 |
4 |
3.8077 2870 |
3.7847 4021 |
3.7619 7421 |
3.7394 2787 |
4 |
5 |
4.7134 5951 |
4.6794 5253 |
4.6458 2850 |
4.6125 8186 |
5 1 |
6 |
5.6014 3089 |
5.5544 7680 |
i 5.5081 2536 |
5.4623 6678 |
6 |
7 |
6.4719 9107 |
6.4102 4626 |
6.3493 9060 |
6.2894 0806 |
7 |
8 |
7.3254 8144 |
7.2471 8461 |
7.1701 3717 |
7.0943 1441 |
8 |
9 |
8.1622 3671 |
8.0657 0622 |
7.9708 6553 |
7.8776 7826 |
9 |
10 |
8.9825 8501 |
_8.8662 1635 |
8.7520 6393 |
8.6400 7616 |
10 |
11 |
9.7868 4805 |
9.6491 1134 |
9.5142 0871 |
9.3820 6926 |
11 |
12 |
10.5753 4122 |
10.4147 7882 |
10.2577 6460 |
10.1042 0366 |
12 |
13 |
1 1.3483 7375 |
1 1.1635 9787 |
10.9831 8497 |
10.8070 1086 |
13 |
14 |
12.1062 4877 |
1 1.8959 3924 |
1 1.5909 1217 |
1 1.4910 0814 |
14 |
15 |
12.8492 6350 |
12.6121 6551 |
12.3813 7773 |
12.1566 9892 |
15 |
16 |
13.5777 0931 |
13.3126 3131 |
13.0550 0266 |
12.8045 7315 |
16 |
17 |
14.2918 7188 |
13.9976 8343 |
13.7121 9772 |
13.4351 0769 |
17 |
18 |
14.9920 3125 |
14.6676 6106 |
14.3533 6363 |
14.0487 6661 |
18 |
19 |
15.6784 6201 |
15.3228 9590 |
14.9788 9134 |
14.6460 0157 |
19 |
20 |
16.3514 3334 |
15.9637 1237 |
15.5891 6229 |
15.2272 5213 |
20 |
21 |
17.01 12 0916 |
16.5904 2775 |
16.1845 4857 |
15.7929 4612 |
21 |
22 |
17.6580 4820 |
17.2033 5232 |
16.7654 1324 |
16.3434 9987 |
22 |
23 |
18.2922 0412 |
17.8027 8955 |
17.3321 1048 |
16.8793 1861 |
23 |
24 |
18.9139 2560 |
18.3890 3624 |
17.8849 8583 |
17.4007 9670 |
24 |
25 |
19.5234 5647 |
18.9623 8263 |
18.4243 7642 |
17.9083 1795 |
25 |
26 |
20.1210 3576 |
19.5231 1260 |
18.9506 1114 |
18.4022 5592 |
26 |
27 |
20.7068 9780 |
20.0715 0376 |
19.4640 1087 |
18.8829 7413 |
27 |
28 |
21.2812 7236 |
20.6078 2764 |
19.9648 8866 |
19.3508 2640 |
28 |
29 |
21.8443 8466 |
21.1323 4977 |
20.4535 4991 |
19.8061 5708 |
29 |
30 |
22.3964 5555 |
21.6453 2985 |
20.9302 9259 |
20.2493 0130 |
30 |
31 |
22.9377 0152 |
22.1470 2186 |
21.3954 0741 |
20.6805 8520 |
31 |
32 |
23.4683 3482 |
22.6376 7419 |
21.8491 7796 |
21.1003 2623 |
32 |
33 |
23.9885 6355 |
23.1 175 2977 |
22.2918 8094 |
21.5088 3332 |
33 |
34 |
24.4985 9172 |
23.5868 2618 |
22.7237 8628 |
21.9064 0712 |
34 |
35 |
24.9986 1933 |
24.0457 9577 |
23.1451 5734 |
22.2933 4026 |
35 |
36 |
25.4888 4248 |
24.4946 6579 |
23.5562 5107 |
22.6699 1753 |
36 |
37 |
25.9694 5341 |
24.9336 5848 |
23.9573 1812 |
23.0364 1609 |
37 |
38 |
26.4406 4060 |
25.3629 9118 |
24.3486 0304 |
23.3931 0568 |
38 |
39 |
26.9025 8883 |
25.7828 7646 |
24.7303 4443 |
23.7402 4884 |
39 |
40 |
27.3554 7924 |
26.1935 2221 |
25.1027 7505 |
24.0781 0106 |
40 |
41 |
27.7994 8945 |
26.5951 3174 |
25.4661 2200 |
24.4069 1101 |
41 |
42 |
28.2347 9358 |
26.9879 0390 |
25.8206 0683 |
24.7269 2069 |
42 |
43 |
28.6615 6233 |
27.3720 3316 |
26.1664 4569 |
25.0383 6563 |
43 |
44 |
29.0799 6307 |
27.7477 0969 |
26.5038 4945 |
25.3414 7507 |
44 |
45 |
29.4901 5987 |
28.1151 1950 |
26.8330 2386 |
25.6364 7209 |
45 |
46 |
29.8923 1360 |
28.4744 4450 |
27.1541 6962 |
25.9235 7381 |
46 |
47 |
30.2865 8196 |
28.8258 6259 |
27.4674 8255 |
26.2029 9154 |
47 |
48 |
30.6731 1957 |
29.1695 4777 |
27.7731 5371 |
26.4749 3094 |
48 |
49 |
31.0520 7801 |
29.5056 7019 |
28.0713 6947 |
26.7395 9215 |
49 |
50 |
31.4236 0589 |
29.8343 9627 |
28.3623 1 168 |
26.9971 6998 |
50 |
34
Present Value of 1 per Annum at Compound Interest
TABLE IV. a =(l-r")/i
n |
2% |
51 |
31.7878 4892 |
52 |
32.1449 4992 |
53 |
32.4950 4894 |
54 |
32.8382 8327 |
55 |
33.1747 8752 |
56 |
33.5046 9365 |
57 |
33.8281 3103 |
58 |
34.1452 2650 |
59 |
34.4561 0441 |
60 |
34.7608 8668 |
61 |
35.0596 9282 |
62 |
35.3526 4002 |
63 |
35.6398 4316 |
64 |
35.9214 1486 |
65 |
36.1974 6555 |
66 |
36.4681 0348 |
67 |
36.7334 3478 |
68 |
36.9935 6351 |
69 |
37.2485 9168 |
70 |
37.4986 1929 i |
71 |
1 37.7437 4441 |
72 |
37.9840 6314 |
73 |
38.2196 6975 |
74 |
38.4506 5662 |
75 |
38.6771 1433 |
76 |
38.8991 3170 |
77 |
39.1 167 9578 |
78 |
39.3301 9194 |
79 |
39.5394 0386 |
80 |
39.7445 1359 |
81 |
39.9456 0156 |
82 |
40.1427 4663 |
83 |
40.3360 2611 |
84 |
40.5255 1579 |
85 |
40.7112 8999 |
86 |
40.8934 2156 |
87 |
41.0719 8192 |
88 |
41.2470 4110 |
89 |
41.4186 6774 |
90 |
41.5869 2916 |
91 |
41.7518 9133 |
92 |
41.9136 1895 |
93 |
42.0721 7545 |
94 |
42.2276 2299 |
95 |
42.3800 2254 |
96 |
42.5294 3386 |
97 |
42.6759 1555 |
98 |
42.8195 2505 |
99 |
42.9603 1867 |
100 |
43.0983 5164 |
2h%
30.1558 8877 30.4703 0687 30.7778 0623 31.0785 3910 31.3726 5438
31.6602 9768 31.9416 1 142 32.2167 3489 32.4858 0429 32.7489 5285
33.0063 1086 33.2580 0573 33.5041 6208 33.7449 0179 33.9803 4405
34.2106 0543 34.4357 9993 34.6560 3905 34.8714 3183 35.0820 8492
35.2881 0261 35.4895 8691 35.6866 3756 35.8793 5214 36.0678 2605
36.2521 5262 36.4324 2310 36.6087 2675 36.781 1 5085 36.9497 8079
37.1 147 0004
37.2759 9026
37.4337 3130
37.5880 0127
37.7388 7655
37.8864 3183 38.0307 4018 38.1718 7304 38.3099 0028 38.4448 9025
38.5769 0978 38.7060 2423 38.8322 9754 38.9557 9221 39.0765 6940
39.1946 8890 39.3102 0920 39.4231 8748 39.5336 7968 39.6417 4052
2H%
28.6461 5774 28.9230 8072 29.1932 4948 29.4568 2876 29.7139 7928
29.9648 5784 30.2096 1740 30.4484 0722 30.6813 7290 .30.9086 5649
31.1303 9657 31.3467 2836 31.5577 8377 31.7636 9148 31.9645 7705
32.1605 6298 32.3517 6876 32.5383 1099 32.7203 0340 32.8978 5698
33.0710 7998 33.2400 7803 33.4049 5417 33.5658 0895 33.7227 4044
33.8758 4433 34.0252 1398 34.1709 4047 34.3131 1265 34.4518 1722
34.5871 3875 34.7191 5976 34.8479 6074 34.9736 2023 35.0962 1486
35.2158 1938 35.3325 0671 35.4463 4801 35.5574 1269 35.6657 6848
35.7714 8144 35.8746 1604 35.9752 3516 36.0734 0016 36.1691 7089
36.2626 0574 36.3537 6170 36.4426 9434 36.5294 5790 36.6141 0526
2%%
27.2478 5400 27.4918 2871 27.7292 7368 27.9603 6368 28.1852 6879
28.4041 5454 28.6171 8203 28.8245 0806 29.0262 8522 29.2226 6201
29.4137 8298 29.5997 8879 29.7808 1634 29.9569 9887 30.1284 6605
30.2953 4409 30.4577 5581 30.6158 2074 30.7696 5522 30.9193 7247
31.0650 8270 31.2068 9314 31.3449 0816 31.4792 2936 31.6099 5558
31.7371 8304 31.8610 0540 31.9815 1377 32.0987 9685 32.2129 4098
32.3240 3015 32.4321 4613 32.5373 6850 32.6397 7469 32.7394 4009
32.8364 3804
32.9308 3994
33.0227 1527
33.1 121 3165
33.1991 5489
33.2838 4905 33.3662 7644 33.4464 9776 33.5245 7202 33.6005 5671
33.6745 0775 33.7464 7956 33.8165 2512 33.8846 9598 33.9510 4232
n
51 52 53 54 55
56 57 58 59 60
61 62 63 64 65
66 67 68 69 70
71 72 73 74 75
76 77 78 79 80
81 82 83 84 85
86 87 88 89 90
91 92 93 94 95
96 97 98 99 100
35
Present Value of 1 per Annum at Compound Interest
TABLE IV. ^ a- = {l-v")/i
n |
3% |
sh7c |
4% |
^hVc j |
n |
1 |
0.9708 7379 |
0.9661 8357 |
0.9615 3846 |
0.9569 3780 |
1 |
2 |
1.9134 6970 |
1.8996 9428 |
1.8860 9467 |
1.8726 6775 |
2 |
3 |
2.8286 1 135 |
2.8016 3698 |
2.7750 9103 |
2.7489 6435 |
3 |
4 |
3.7170 9840 |
3.6730 7921 |
3.6298 9522 |
3.5875 2570 |
4 |
5 |
4.5797 0719 |
4.5150 5238 |
4.4518 2233 1 |
4.3899 7674 |
5 |
6 |
5.4171 9144 |
! 5.3285 5302 | |
1 5.2421 3686 |
5.1578 7248 |
6 |
7 |
6.2302 8296 ; |
6.1145 4398 ' |
6.0020 5467 |
5.8927 0094 |
7 |
8 |
7.0196 9219 |
6.8739 5554 |
6.7327 4487 |
6.5958 8607 |
8 |
9 |
7.7861 0892 |
7.6076 8651 |
7.4353 3161 |
7.2687 9050 |
9 |
10 |
8.5302 0284 |
8.3166 0532 |
8.1108 9578 |
7.9127 1818 |
10 |
11 |
9.2526 241 1 |
9.0015 5104 |
8.7604 7671 |
8.5289 1692 |
11 |
12 |
9.9540 0399 |
9.6633 3433 |
9.3850 7376 |
9.1 185 8078 |
12 |
13 |
10.6349 5533 |
10.3027 3849 |
9.9856 4785 | |
9.6828 5242 |
13 |
14 |
11.2960 7314 |
10.9205 2028 |
10.5631 2293 |
10.2228 2528 |
14 |
15 |
11.9379 3509 |
11.5174 1090 |
11.1183 8743 |
10.7395 4573 |
15 |
16 |
12.561 1 0203 |
12.0941 1681 |
11.6522 9561 |
11.2340 1505 |
16 |
17 |
13.1661 1847 |
12.6513 2059 |
12.1656 6885 |
11.7071 9143 |
17 |
18 |
13.7535 1308 |
13.1896 8173 |
12.6592 9697 |
12.1599 9180 |
18 |
19 |
14.3237 9911 |
13.7098 3742 |
13.1339 3940 |
12.5932 9359 |
19 |
20 |
14.8774 7486 |
14.2124 0330 |
13.5903 2634 |
13.0079 3645 |
20 |
21 |
15.4150 2414 |
14.6979 7420 |
14.0291 5995 |
13.4047 2388 |
21 |
22 |
15.9369 1664 |
15.1671 2484 |
14.4511 1533 |
13.7844 2476 |
22 |
23 |
16.4436 0839 |
15.6204 1047 |
14.8568 4167 |
14.1477 7489 |
23 |
24 |
16.9355 4212 |
16.0583 6760 |
15.2469 6314 |
14.4954 7837 |
24 |
25 |
17.4131 4769 |
16.4815 1459 |
15.6220 7994 |
14.8282 0896 |
25 |
26 |
17.8768 4242 |
16.8903 5226 |
15.9827 6918 |
15.1466 1 145 |
26 |
27 |
18.3270 3147 |
17.2853 6451 |
16.3295 8575 |
15.4513 0282 |
27 |
28 |
18.7641 0823 |
17.6670 1885 |
16.6630 6322 |
15.7428 7351 |
28 |
29 |
19.1884 5459 |
18.0357 6700 |
16.9837 1463 |
16.0218 8853 |
29 |
30 |
19.6004 4135 |
18.3920 4541 |
17.2920 3330 |
16.2888 8854 |
30 |
31 |
20.0004 2849 |
18.7362 7576 |
17.5884 9356 |
16.5443 9095 |
31 |
32 |
20.3887 6553 |
19.0688 6547 |
17.8735 5150 |
16.7888 9086 |
32 |
33 |
20.7657 9178 |
19.3902 0818 |
18.1476 4567 |
17.0228 6207 |
33 |
34 |
21.1318 3668 |
19.7006 8423 |
18.41 1 1 9776 |
17.2467 5796 |
34 |
35 |
21.4872 2007 |
20.0006 6110 |
18.6646 1323 |
17.4610 1240 |
35 |
36 |
21.8322 5250 |
20.2904 9381 |
18.9082 8195 |
17.6660 4058 |
36 |
37 |
22.1672 3544 |
20.5705 2542 |
19.1425 7880 |
17.8622 3979 |
37 |
38 |
22.4924 6159 |
20.8410 8736 |
19.3678 6423 |
18.0499 9023 |
38 |
39 |
22.8082 1513 |
21.1024 9987 |
19.5844 8484 |
18.2296 5572 |
39 |
40 |
23.1 147 7197 |
21.3550 7234 |
19.7927 7388 |
18.4015 8442 |
40 |
41 |
23.4123 9997 |
21.5991 0371 |
19.9930 5181 |
18.5661 0949 |
41 |
42 |
23.7013 5920 |
21.8348 8281 |
20.1856 2674 |
18.7235 4975 |
42 |
43 |
23.9819 0213 |
22.0626 8870 |
20.3707 9494 |
18.8742 1029 |
43 |
44 |
24.2542 7392 |
22.2827 9102 |
20.5488 4129 |
19.0183 8305 |
44 |
45 |
24.5187 1254 |
22.4954 5026 |
20.7200 3970 |
19.1563 4742 |
45 |
46 |
24.7754 4907 |
22.7009 1813 |
20.8846 5356 |
19.2883 7074 |
46 |
47 |
25.0247 0783 |
22.8994 3780 |
21.0429 3612 |
19.4147 0884 |
47 |
48 |
25.2667 0664 |
23.0912 4425 |
21.1951 3088 |
19.5356 0654 |
48 |
49 |
25.5016 5693 |
23.2765 6450 |
21.3414 7200 |
19.6512 9813 |
49 |
50 |
25.7297 6401 |
23.4556 1787 |
21.4821 8462 |
19.7620 0778 |
50 |
36
Present Value of 1 per Annum at Compound Interest
TABLE IV. a- = (l-vn/i
n |
3% |
3^% |
4% |
4ig% |
fl |
||
51 |
25.9512 |
2719 |
23.6286 |
1630 |
21.6174 8521 |
19.8679 5003 |
51 |
52 |
26.1662 |
3999 |
23.7957 |
6454 |
21.7475 8193 |
19.9693 3017 |
52 |
53 |
26.3749 |
9028 |
23.9572 |
6043 |
21.8726 7493 |
20.0663 4466 |
53 |
54 |
26.5776 |
6047 |
24.1 132 |
9510 |
21.9929 5667 |
20.1591 8149 |
54 |
55 |
26.7744 |
2764 |
24.2640 |
5323 |
22.1086 1218 |
20.2480 2057 |
55 |
56 |
26.9654 |
6373 |
24.4097 |
1327 |
22.2189 1940 |
20.3330 3404 |
56 |
57 |
27.1509 |
3566 |
24.5504 |
4760 |
22.3267 4943 |
20.4143 8664 |
57 |
58 |
27.3310 |
0549 |
24.6864 |
2281 |
22.4295 6676 |
20.4922 3602 |
58 |
59 |
27.5058 |
3058 |
24.8177 |
9981 |
22.5284 2957 |
20.5667 3303 |
59 |
60 |
27.6755 |
6367 |
24.9447 |
3412 |
22.6234 8997 |
20.6380 2204 |
60 |
61 |
27.8403 |
5307 |
25.0673 |
7596 |
22.7148 9421 |
20.7062 41 18 |
61 |
62 |
28.0003 |
4279 |
25.1858 |
7049 |
22.8027 8289 |
20.7715 2266 |
62 |
63 |
28.1556 |
7261 |
25.3003 |
5796 |
22.8872 9124 |
20.8339 9298 |
63 |
64 |
28.3064 |
7826 |
25.4109 |
7388 |
22.9685 4927 |
20.8937 7319 |
64 |
65 |
28.4528 |
9152 |
25.5178 |
4916 |
23.0466 8199 |
20.9509 7913 |
65 |
66 |
28.5950 |
4031 |
25.6211 |
1030 |
23.1218 0961 |
21.0057 2165 |
66 |
67 |
28.7330 |
4884 |
25.7208 |
7951 |
23.1940 4770 |
21.0581 0684 |
67 |
68 |
28.8670 |
3771 |
25.8172 |
7489 |
23.2635 0740 |
21.1082 3621 |
68 |
69 |
28.9971 |
2399 |
25.9104 |
1052 |
23.3302 9558 |
21.1562 0690 |
69 |
70 |
29.1234 |
2135 |
26.0003 |
9664 |
23.3945 1498 |
21.2021 1187 |
70 |
71 |
29.2460 |
4015 |
26.0873 |
3975 |
23.4562 6440 |
21.2460 4007 |
71 |
72 |
29.3650 |
8752 |
26.1713 |
4275 |
23.5156 3885 |
21.2880 7662 |
72 |
73 |
29.4806 |
6750 |
26.2525 |
0508 |
23.5727 2966 |
21.3283 0298 |
73 |
74 |
29.5928 |
8106 |
26.3309 |
2278 |
23.6276 2468 |
21.3667 9711 |
74 |
75 |
29.7018 |
2628 |
26.4066 |
8868 |
23.6804 0834 |
21.4036 3360 |
75 |
76 |
29.8075 |
9833 |
26.4798 |
9244 |
23.7311 6187 |
21.4388 8383 |
76 |
77 |
29.S102 |
8964 |
26.5506 |
2072 |
23.7799 6333 |
21.4726 1611 |
77 |
78 |
30.0099 |
8994 |
26.6189 |
5721 |
23.8268 8782 |
21.5048 9579 |
78 |
79 |
30.1067 |
8635 |
26.6849 |
8281 |
23.8720 0752 |
21.5357 8545 |
79 |
80 |
30.2007 |
6345 |
26.7487 |
7567 |
23.9153 9185 |
21.5653 4493 |
80 |
81 |
30.2920 |
0335 |
26.8104 |
1 127 |
23.9571 0754 |
21.5936 3151 |
81 |
82 |
30.3805 |
8577 |
26.8699 |
6258 |
23.9972 1879 |
21.6207 0001 |
82 |
83 |
30.4665 |
8813 |
26.9275 |
0008 |
24.0357 8730 |
21.6466 0288 |
83 |
84 |
30.5500 |
8556 |
26.9830 |
9186 |
24.0728 7240 |
21.6713 9032 |
84 |
85 |
30.6311 |
5103 |
27.0368 |
0373 |
24.1085 3116 |
21.6951 1035 |
85 |
86 |
30.7098 |
5537 |
27.0886 |
9926 |
24.1428 1842 |
21.7178 0895 |
86 |
87 |
30.7862 |
6735 |
27.1388 |
3986 |
24.1757 8694 |
21.7395 3009 |
87 |
88 |
30.8604 |
5374 |
27.1872 |
8489 |
24.2074 8745 |
21.7603 1588 |
88 |
89 |
30.9324 |
7936 |
27.2340 |
9168 |
24.2379 6870 |
21.7802 0658 |
89 |
90 |
31.0024 |
0714 |
27.2793 |
1564 |
24.2672 7759 |
21.7992 4075 |
90 |
91 |
31.0702 |
9820 |
27.3230 |
1028 |
24.2954 5923 |
21.8174 5526 |
91 |
92 |
31.1362 |
1 184 |
27.3652 |
2732 |
24.3225 5695 |
21.8348 8542 |
92 |
93 |
31.2002 |
0567 |
27.4060 |
1673 |
24.3486 1245 |
21.8515 6499 |
93 |
94 |
31.2623 |
3560 |
27.4454 |
2680 |
24.3736 6582 |
21.8675 2631 |
94 |
95 |
31.3226 |
5592 |
27.4835 |
0415 |
24.3977 5559 |
21.8828 0030 |
95 |
96 |
31.3812 |
1934 |
27.5202 |
9387 |
24.4209 1884 |
21.8974 1655 |
96 |
97 |
31.4380 |
7703 |
27.5558 |
3948 |
24.4431 9119 |
21.91 14 0340 |
97 |
98 |
31.4932 |
7867 |
27.5901 |
8308 |
24.4646 0692 |
21.9247 8794 |
98 |
99 |
31.5468 |
7250 |
27.6233 |
6529 |
24.4851 9896 |
21.9375 9612 |
99 |
100 |
31.5989 |
0534 |
27.6554 |
2540 |
24.5049 9900 |
21.9498 5274 |
100 |
37
Present Value of 1 per Annum at Compound Interest TABLE IV. ' ««=(!
-v
')/i
n |
5% |
5h% |
6% |
7C7 * /C |
n |
1 |
0.9523 8095 |
0.9478 6730 |
0.9433 9623 |
0.9345 7944 |
1 |
2 |
1.8594 1043 |
1.8463 1971 |
1.8333 9267 |
1.8080 1817 |
2 |
3 |
2.7232 4803 |
2.6979 3338 |
2.6730 1 195 |
2.6243 1604 |
3 |
4 |
3.5459 5050 |
3.5051 5012 |
3.4651 0561 |
3.3872 1126 |
4 |
5 |
4.3294 7667 |
4.2702 8448 |
4.2123 6379 |
4.1001 9744 |
5 |
6 |
5.0756 9206 |
4.9955 3031 |
4.9173 2433 |
4.7665 3966 |
6 |
7 |
5.7863 7340 |
5.6829 6712 |
5.5823 8144 |
5.3892 8940 |
7 |
8 |
6.4632 1276 |
6.3345 6599 |
6.2097 9381 |
5.9712 9851 |
8 |
9 |
7.1078 2168 |
6.9521 9525 |
6.8016 9227 |
6.5152 3225 |
9 |
10 |
7.7217 3493 |
7.5376 2583 |
7.3600 8705 |
7.0235 8155 |
10 |
11 |
8.3064 1422 |
8.0925 3633 |
7.8868 7458 |
7.4986 7435 |
11 |
12 |
8.8632 5164 |
8.6185 1785 |
8.3838 4394 |
7.9426 8631 |
12 |
13 |
9.3935 7299 |
9.-1170 7853 |
8.8526 8296 |
8.3576 5075 |
13 |
14 |
9.8986 4094 |
9.5896 4790 |
9.2949 8393 |
8.7454 6800 |
14 |
15 |
10.3796 5804 |
10.0375 8094 |
9.7122 4899 |
9.1079 1402 |
15 |
16 |
10.8377 6956 |
10.4621 6203 |
10.1058 9527 |
9.4466 4861 |
16 |
17 |
1 1.2740 6625 |
10.8646 0856 |
10.4772 5969 |
9.7632 2300 |
17 |
18 |
11.6895 8690 |
1 1.2460 7447 |
10.8276 0348 |
10.0590 8692 |
18 |
19 |
12.0853 2086 |
11.6076 5352 |
11.1581 1649 |
10.3355 9525 |
19 |
20 |
12.4622 1034 |
11.9503 8249 |
11.4699 2122 |
10.5940 1426 |
20 |
21 |
12.8211 5271 |
12.2752 4406 |
11.7640 7662 |
10.8355 2734 |
21 |
22 |
13.1630 0258 |
12.5831 6973 |
12.0415 8172 |
11.0612 4051 |
22 |
23 |
13.4885 7388 |
12.8750 4240 |
12.3033 7898 |
11.2721 8739 |
23 |
24 |
13.7986 4179 |
13.1516 9895 |
12.5503 5753 |
11.4693 3401 |
24 |
25 |
14.0939 4457 |
13.4139 3266 |
12.7833 5616 |
11.6535 8319 |
25 |
26 |
14.3751 8530 |
13.6624 9541 |
13.0031 6619 |
11.8257 7868 |
26 |
27 |
14.6430 3362 |
13.8980 9991 |
13.2105 3414 |
11.9867 0905 |
27 |
28 |
14.8981 2726 |
14.1214 2172 |
13.4061 6428 |
12.1371 1126 |
28 |
29 |
15.1410 7358 |
14.3331 0116 |
13.5907 2102 |
12.2776 7408 |
29 |
30 |
15.3724 5103 |
14.5337 4517 . |
13.7648 3115 |
12.4090 4119 |
30 |
31 |
15.5928 1050 |
14.7239 2907 |
13.9290 8599 |
12.5318 1420 |
31 |
32 |
15.8026 7667 |
14.9041 9817 |
14.0840 4339 |
12.6465 5533 |
32 |
33 |
16.0025 4921 |
15.0750 6936 |
14.2302 2961 |
12.7537 9003 |
33 |
34 |
16.1929 0401 |
15.2370 3257 |
14.3681 4114 |
12.8540 0937 |
34 |
35 |
16.3741 9429 |
15.3905 5220 |
14.4982 4636 |
12.9476 7231 |
35 |
36 |
16.5468 5171 |
15.5360 6843 |
14.6209 8713 |
13.0352 0777 |
36 |
37 |
16.7112 8734 |
15.6739 9851 |
14.7367 8031 |
13.1170 1661 |
37 |
38 |
16.8678 9271 |
15.8047 3793 |
14.8460 1916 |
13.1934 7346 |
38 |
39 |
17.0170 4067 |
15.9286 6154 |
14.9490 7468 |
13.2649 2847 |
39 |
40 |
17.1590 8635 |
16.0461 2469 |
15.0462 9687 |
13.3317 0885 |
40 |
41 |
17.2943 6796 |
16.1574 6416 |
15.1380 1592 |
13.3941 2042 |
41 |
42 |
17.4232 0758 |
16.2629 9920 |
15.2245 4332 |
13.4524 4900 |
42 |
43 |
17.5459 1198 |
16.3630 3242 |
15.3061 7294 |
13.5069 6168 |
43 |
44 |
17.6627 7331 |
16.4578 5063 |
15.3831 8202 |
13.5579 0811 |
44 |
45 |
17.7740 6982 |
16.5477 2572 |
15.4558 3209 |
13.6055 2160 |
45 |
46 |
17.8800 6650 |
16.6329 1537 |
15.5243 6990 |
13.6500 2019 |
46 |
47 |
17.9810 1571 |
16.7136 6386 |
15.5890 2821 |
13.6916 0765 |
47 |
48 |
18.0771 5782 |
16.7902 0271 |
15.6500 2661 |
13.7304 7444 |
48 |
49 |
18.1687 2173 |
16.8627 5139 |
15.7075 7227 |
13.7767 9855 |
49 |
50 |
18.2559 2546 |
16.9315 1790 |
15.7618 6064 |
13.8007 4630 |
50 |
38
Present Value of 1 Per Annum at Compound Interest TABLE IV. «Hi = (l
■v")/i
n |
57o |
•> '- ' t |
'■' |
'•' |
/I |
|||
51 |
18.3389 |
7663 |
16.9966 9943 |
15.8130 |
7607 |
13.8324 |
7318 |
51 |
52 |
18.4180 |
7298 |
17.0584 8287 |
15.8613 |
9252 |
13.8621 |
2446 |
52 |
53 |
18.4934 |
0284 |
17.1 170 4538 |
15.9069 |
7408 |
13.8898 |
3594 |
53 |
54 |
18.5651 |
4556 |
17.1725 5486 |
15.9499 |
7554 |
13.9157 |
3452 |
54 |
55 |
18.6334 |
7196 |
17.2251 7048 |
15.9905 |
4297 |
13.9399 |
3881 |
55 |
56 |
18.6985 |
4473 |
17.2750 4311 |
16.0288 |
1412 |
13.9625 |
5964 |
56 |
57 |
18.7605 |
1879 |
17.3223 1575 |
16.0649 |
1898 |
13.9837 |
0059 |
57 |
58 |
18.8195 |
4170 |
17.3671 2393 |
16.0989 |
8017 |
14.0034 |
5850 |
58 |
59 |
18.8757 |
5400 |
17.4095 9614 |
16.131 1 |
1337 |
14.0219 |
2383 |
59 |
60 |
18.9292 |
8952 |
17.4498 5416 |
16.1614 |
2771 |
14.0391 |
8115 |
60 |
61 |
18.9802 |
7574 |
17.4880 1343 |
16.1900 |
2614 |
14.0553 |
0949 |
61 |
62 |
19.0288 |
3404 |
17.5241 8334 |
16.2170 |
0579 |
14.0703 |
8270 |
62 |
63 |
19.0750 |
8003 |
17.5584 6762 |
16.2424 |
5829 |
14.0844 |
6981 |
63 |
64 |
19.1 191 |
2384 |
17.5909 6457 |
16.2664 |
7009 |
14.0976 |
3534 |
64 |
65 |
19.1610 |
7033 |
17.6217 6737 |
16.2891 |
2272 |
14.1099 |
3957 |
65 |
66 |
19.2010 |
1936 |
17.6509 6433 |
16.3104 |
9314 |
14.1214 |
3885 |
66 |
67 |
19.2390 |
6606 |
17.6786 3917 |
16.3306 |
5390 |
14.1321 |
8584 |
67 |
68 |
19.2753 |
0101 |
17.7048 7125 |
16.3496 |
7349 |
14.1422 |
2976 |
68 |
69 |
19.3098 |
1048 |
17.7297 3579 |
16.3676 |
1650 |
14.1516 |
1660 |
69 |
70 |
19.3426 |
7665 |
17.7533 0406 |
16.3845 |
4387 |
14.1603 |
8934 |
70 |
71 |
19.3739 |
7776 |
17.7756 4366 |
16.4005 |
1308 |
14.1685 |
8817 |
71 |
72 |
19.4037 |
8834 |
17.7968 1864 |
16.4155 |
7838 |
14.1762 |
5063 |
72 |
73 |
19.4321 |
7937 |
17.8168 8970 |
16.4297 |
9093 |
14.1834 |
1180 |
73 |
74 |
19.4592 |
1845 |
1^.8359 1441 |
16.4431 |
9899 |
14.1901 |
0449 |
74 |
75 |
19.4849 |
6995 |
17.8539 4731 |
16.4558 |
4810 |
14.1963 |
5933 |
75 |
76 |
19.5094 |
9519 |
17.8710 4010 |
16.4677 |
8123 |
14.2022 |
0498 |
76 |
77 |
19.5328 |
5257 |
17.8872 4180 |
16.4790 |
3889 |
14.2076 |
6821 |
77 |
78 |
19.5550 |
9768 |
17.9025 9887 |
16.4896 |
5933 |
14.2127 |
7403 |
78 |
79 |
19.5762 |
8351 |
17.9171 5532 |
16.4996 |
7862 |
14.2175 |
4582 |
79 |
80 |
19.5964 |
6048 |
17.9309 5291 |
16.5091 |
3077 |
14.2220 |
0544 |
80 |
81 |
19.6156 |
7665 |
17.9440 3120 |
16.5180 |
4790 |
14.2261 |
7331 |
81 |
82 |
19.6339 |
7776 |
17.9564 2768 |
16.5264 |
6028 |
14.2300 |
6851 |
82 |
83 |
19.6514 |
0739 |
17.9681 7789 |
16.5343 |
9649 |
14.2337 |
0889 |
83 |
84 |
19.6680 |
0704 |
17.9793 1554 |
16.5418 |
8348 |
14.2371 |
nil |
84 |
85 |
19.6838 |
1623 |
17.9898 7255 |
16.5489 |
4668 |
14.2402 |
9076 |
85 |
86 |
19.6988 |
7260 |
17.9998 7919 |
16.5556 |
1008 |
14.2432 |
6239 |
86 |
87 |
19.7132 |
1200 |
18.0093 6416 |
16.5618 |
9630 |
14.2460 |
3962 |
87 |
88 |
19.7268 |
6857 |
18.0183 5466 |
16.5678 |
2670 |
14.2486 |
3516 |
88 |
89 |
19.7398 |
7483 |
18.0268 7645 |
16.5734 |
2141 |
14.2510 |
6089 |
89 |
90 |
19.7522 |
6174 |
18.0349 5398 |
16.5786 |
9944 |
14.2533 |
2794 |
90 |
91 |
19.7640 |
5880 |
18.0426 1041 |
16.5836 |
7872 |
14.2554 |
4667 |
91 |
92 |
19.7752 |
9410 |
18.0498 6769 |
16.5883 |
7615 |
14.2574 |
2680 |
92 |
93 |
19.7859 |
9438 |
18.0567 4662 |
16.5928 |
0769 |
14.2592 |
7738 |
93 |
94 |
19.7961 |
8512 |
18.0632 6694 |
16.5969 |
8839 |
14.2610 |
0690 |
94 |
95 |
19.8058 |
9059 |
18.0694 4734 |
16.6009 |
3244 |
14.2626 |
2327 |
95 |
96 |
19.8151 |
3390 |
18.0753 0553 |
16.6046 |
5325 |
14.2641 |
3390 |
96 |
97 |
19.8239 |
3705 |
18.0808 5833 |
16.6081 |
6344 |
14.2655 |
4570 |
97 |
98 |
19.8323 |
2100 |
18.0861 2164 |
16.61 14 |
7494 |
14.2668 |
6514 |
98 |
99 |
19.8403 |
0571 |
18.0911 1055 |
16.6145 |
9900 |
14.2680 |
9826 |
99 |
100 |
19.8479 |
1020 |
18.0958 3939 |
16.6175 |
4623 |
14.2692 |
5071 |
100 |
39
Annuity Whose Present Value at Compound Interest Is I TABLE V. a^ = i (l-v")
n |
1% |
ik% |
t |
1%% |
n |
||
1 |
1.0100 0000 |
1.0125 0000 |
1.0150 |
0000 |
1.0175 |
0000 |
1 |
2 |
0.5075 1244 |
0.5093 9441 |
0.51 12 |
7792 |
0.5131 |
6295 |
2 |
3 |
0.3400 221 1 |
0.3417 0117 |
0.3433 |
8296 |
0.3450 |
6746 |
3 |
4 |
0.2562 8109 |
0.2578 6102 |
0.2594 |
4478 |
0.2610 |
3237 |
4 |
5 |
0.2060 3980 |
0.2075 6211 |
0.2090 |
8932 |
0.2106 |
2142 |
5 |
6 |
0.1725 4837 |
0.1740 3381 |
0.1755 |
2521 |
0.1770 |
2256 |
6 |
7 |
0.1486 2828 |
0.1500 8872 |
0.1515 |
5616 |
0.1530 |
3059 |
7 |
8 |
0.1306 9029 |
0.1321 3314 |
0.1335 |
8402 |
0.1350 |
4292 |
8 |
9 |
0.1167 4036 |
0.1 181 7055 |
0.1 196 |
0982 |
0.1210 |
5813 |
9 |
10 |
0.1055 8208 |
0.1070 0307 |
0.1084 |
3418 |
0.1098 |
7534 |
10 |
11 |
0.0964 5408 |
0.0978 6839 |
0.0992 |
9384 |
0.1007 |
3038 |
11 |
12 |
0.0888 4879 |
0.0902 5831 |
0.0916 |
7999 |
0.0931 |
1377 |
12 |
13 |
0.0824 1482 |
0.0838 2100 |
0.0852 |
4036 |
0.0866 |
7283 |
13 |
14 ' |
0.0769 0117 |
0.0783 0515 |
0.0797 |
2332 |
0.0811 |
5562 |
14 |
15 |
0.0721 2378 |
0.0735 2646 |
0.0749 |
4436 |
0.0763 |
7739 |
15 |
16 |
0.0679 4460 |
0.0693 4672 |
0.0707 |
6508 |
0.0721 |
9958 |
16 |
17 |
0.0642 5806 |
0.0656 6023 |
0.0670 |
7966 |
0.0685 |
1623 |
17 |
18 |
0.0609 8205 |
0.0623 8479 |
0.0638 |
0578 |
0.0652 |
4492 |
18 |
19 |
0.0580 5175 |
0.0594 5548 |
0.0608 |
7847 |
0.0623 |
2061 |
19 |
20 |
0.0554 1531 |
0.0568 2039 |
0.0582 |
4574 |
0.0596 |
9122 |
20 |
21 |
0.0530 3075 |
0.0544 3748 |
0.0558 |
6550 |
0.0573 |
1464 |
21 |
22 |
0.0508 6372 |
0.0522 7238 |
0.0537 |
0331 |
0.0551 |
5638 |
22 |
23 |
0.0488 8584 |
0.0502 9666 |
0.0517 |
3075 |
0.0531 |
8796 |
23 |
24 |
0.0470 7347 |
0.0484 8665 |
0.0499 |
2410 |
0.0513 |
8565 |
24 |
25 |
0.0454 0675 |
0.0468 2247 |
0.0482 |
6345 |
0.0497 |
2952 |
25 |
26 |
0.0438 6888 |
0.0452 8729 |
0.0467 |
3196 |
0.0482 |
0269 |
26 |
27 |
0.0424 4553 |
0.0438 6677 |
0.0453 |
1527 |
0.0467 |
9079 |
27 |
28 |
0.0411 2444 |
0.0425 4863 |
0.0440 |
0108 |
0.0454 |
8151 |
28 |
29 |
0.0398 9502 |
0.0413 2228 |
0.0427 |
7878 |
0.0442 |
6424 |
29 |
30 |
0.0387 4811 |
0.0401 7854 |
0.0416 |
3919 |
0.0431 |
2975 |
30 |
31 |
0.0376 7573 |
0.0391 0942 |
0.0405 |
7430 |
0.0420 |
7005 |
31 |
32 |
0.0366 7089 |
0.0381 0791 |
0.0395 |
7710 |
0.0410 |
7812 |
32 |
33 |
0.0357 2744 |
0.0371 6786 |
0.0386 |
4144 |
0.0401 |
4779 |
33 |
34 |
0.0348 3997 |
0.0362 8387 |
0.0377 |
6189 |
0.0392 |
7363 |
34 |
35 |
0.0340 0368 |
0.0354 5111 |
0.0369 |
3363 |
0.0384 |
5082 |
35 |
36 |
0.0332 1431 |
0.0346 6533 |
0.0361 |
5240 |
0.0376 |
7507 |
36 |
37 |
0.0324 6805 |
0.0339 2270 |
0.0354 |
1437 |
0.0369 |
4257 |
37 |
38 |
0.0317 6150 |
0.0332 1983 |
0.0347 |
1613 |
0.0362 |
4990 |
38 |
39 |
0.0310 9160 |
0.0325 5365 |
0.0340 |
5463 |
0.0355 |
9399 |
39 |
40 |
0.0304 5560 |
0.0319 2141 |
0.0334 |
2710 |
0.0349 |
7209 |
40 |
41 |
0.0298 5102 |
0.0313 2063 |
0.0328 |
3106 |
0.0343 |
8170 |
41 |
42 |
0.0292 7563 |
0.0307 4906 |
0.0322 |
6426 |
0.0338 |
2057 |
42 |
43 |
0.0287 2737 |
0.0302 0466 |
0.0317 |
2465 |
0.0332 |
8666 |
43 |
44 |
0.0282 0441 |
0.0296 8557 |
0.0312 |
1038 |
0.0327 |
7810 |
44 |
45 |
0.0277 0505 |
0.0291 9012 |
0.0307 |
1976 |
0.0322 |
9321 |
45 |
46 |
0.0272 2775 |
0.0287 1675 |
0.0302 |
5125 |
0.0318 |
3043 |
46 |
47 |
0.0267 7111 |
0.0282 6406 |
0.0298 |
0342 |
0.0313 |
8836 |
47 |
48 |
0.0263 3384 |
0.0278 3075 |
0.0293 |
7500 |
0.0309 |
6569 |
48 |
49 |
0.0259 1474 |
0.0274 1563 |
0.0289 |
6478 |
0.0305 |
6124 |
49 |
50 |
0.0255 1273 |
0.0270 1763 |
1 0.0285 |
7168 |
0.0301 |
7391 |
50 |
40
Annuity Whose Present Value at Compound Interest Is 1
TABLE V. a^ = i/(l-v")
n |
1 <^ |
1 i^c; i-i /C |
1 Vf" ^^ , c |
1%', |
' |
It |
|
51 |
0.0251 |
2680 |
0.0266 3571 |
0.0281 9469 |
0.0298 |
0269 |
51 |
52 |
0.0247 |
5603 |
0.0262 6897 |
0.0278 3287 |
0.0294 |
4665 |
52 |
53 |
0.0243 |
9956 |
0.0259 1653 |
0.0274 8537 |
0.0291 |
0492 |
53 |
54 |
0.0240 |
5658 |
0.0255 7760 |
0.0271 5138 |
0.0287 |
7672 |
54 |
55 |
0.0237 |
2637 |
0.0252 5145 |
0.0268 3018 |
0.0284 |
6129 |
55 |
56 |
0.0234 |
0824 |
0.0249 3739 |
0.0265 2106 |
0.0281 |
5795 |
56 |
57 |
0.0231 |
0156 |
0.0246 3478 |
0.0262 2341 |
0.0278 |
6606 |
57 |
58 |
0.0228 |
0573 |
0.0243 4303 |
0.0259 3661 |
0.0275 |
8503 |
58 |
59 |
0.0225 |
2020 |
0.0240 6158 |
0.0256 6012 |
0.0273 |
1430 |
59 |
60 |
0.0222 |
4445 |
0.0237 8993 |
0.0253 9343 |
0.0270 |
5336 |
60 |
61 |
0.0219 |
7800 |
0.0235 2758 |
0.0251 3604 |
0.0268 |
0172 |
61 |
62 |
0.0217 |
2041 |
0.0232 7410 |
0.0248 8751 |
0.0265 |
5892 |
62 |
63 |
0.0214 |
7125 |
0.0230 2904 |
0.0246 4741 |
0.0263 |
2455 |
63 |
64 |
0.0212 |
3013 |
0.0227 9203 |
0.0244 1534 |
0.0260 |
9821 |
64 |
65 |
0.0209 |
9667 |
0.0225 6268 |
0.0241 9094 |
0.0258 |
7952 |
65 |
66 |
0.0207 |
7052 |
0.0223 4065 |
0.0239 7386 |
0.0256 |
6813 |
66 |
67 |
0.0205 |
5136 |
0.0221 2560 |
0.0237 6376 |
0.0254 |
6372 |
67 |
68 |
0.0203 |
3889 |
0.0219 1724 |
0.0235 6033 |
0.0252 |
6596 |
68 |
69 |
0.0201 |
3280 |
0.0217 1527 |
0.0233 6329 |
0.0250 |
7459 |
69 |
70 |
0.0199 |
3282 |
0.0215 1941 |
0.0231 7235 |
0.0248 |
8930 |
70 |
71 |
0.0197 |
3870 |
0.0213 2941 |
0.0229 8727 |
0.0247 |
0985 |
71 |
72 |
0.0195 |
5019 |
0.0211 4501 |
0.0228 0779 |
0.0245 |
3600 |
72 |
73 |
0.0193 |
6706 |
0.0209 6600 |
0.0226 3368 |
0.0243 |
6750 |
73 |
74 |
0.0191 |
8910 |
0.0207 9215 |
0.0224 6473 |
0.0242 |
0413 |
74 |
75 |
0.0190 |
1609 |
0.0206 2325 |
0.0223 0072 |
0.0240 |
4570 |
75 |
76 |
0.0188 |
4784 |
0.0204 5910 |
0.0221 4146 |
0.0238 |
9200 |
76 |
77 |
0.0186 |
8416 |
0.0202 9953 |
0.0219 8676 |
0.0237 |
4284 |
77 |
78 |
0.0185 |
2488 |
0.0201 4435 |
0.0218 3645 |
0.0235 |
9806 |
78 |
79 |
0.0183 |
6983 |
0.0199 9341 |
0.0216 9036 |
0.0234 |
5748 |
79 |
80 |
0.0182 |
1885 |
0.0198 4652 |
0.0215 4832 |
0.0233 |
2093 |
80 |
81 |
0.0180 |
7179 |
0.0197 0356 |
0.0214 1019 |
0.0231 |
8828 |
81 |
82 |
0.0179 |
2851 |
0.0195 6437 |
0.0212 7583 |
0.0230 |
5936 |
82 |
83 |
0.0177 |
8887 |
0.0194 2881 |
0.0211 4509 |
0.0229 |
3406 |
83 |
84 |
0.0176 |
5273 |
0.0192 9675 |
0.0210 1784 |
0.0228 |
1223 |
84 |
85 |
0.0175 |
1998 |
0.0191 6808 |
0.0208 9396 |
0.0226 |
9375 |
85 |
86 |
0.0173 |
9050 |
0.0190 4267 |
0.0207 7333 |
0.0225 |
7850 |
86 |
87 |
0.0172 |
6417 |
0.0189 2041 |
0.0206 5584 |
0.0224 |
6636 |
87 |
88 |
0.0171 |
4089 |
0.0188 0119. |
0.0205 4138 |
0.0223 |
5724 |
88 |
89 |
0.0170 |
2056 |
0.0186 8490 |
0.0204 2984 |
0.0222 |
5102 |
89 |
90 |
0.0169 |
0306 |
0.0185 7146 |
0.0203 2113 |
0.0221 |
4760 |
90 |
91 |
0.0167 |
8832 |
0.0184 6076 |
0.0202 1516 |
0.0220 |
4690 |
91 |
92 |
0.0166 |
7624 |
0.0183 5271 |
0.0201 1182 |
0.0219 |
4882 |
92 |
93 |
0.0165 |
6673 |
0.0182 4724 |
0.0200 1 104 |
0.0218 |
5327 |
93 |
94 |
0.0164 |
5971 |
0.0181 4425 |
0.0199 1273 |
0.0217 |
6017 |
94 |
95 |
0.0163 |
5511 |
0.0180 4366 |
0.0198 1681 |
0.0216 |
6944 |
95 |
96 |
0.0162 |
5284 |
0.0179 4540 |
0.0197 2321 |
0.0215 |
8101 |
96 |
97 |
0.0161 |
5284 |
0.0178 4941 |
0.0196 3186 |
0.0214 |
9480 |
97 |
98 |
0.0160 |
5503 |
0.0177 5560 |
0.0195 4268 |
0.0214 |
1074 |
98 |
99 |
0.0159 |
5936 |
0.0176 6391 |
0.0194 5560 |
0.0213 |
2876 |
99 |
100 |
0.0158 |
6574 |
0.0175 7428 |
0.0193 7057 |
0.0212 |
4880 |
100 |
11
Annuity Whose Present Value at Compound Interest Is 1 TABLE V. ' «^' = ' (l-O
n |
2% |
2h% |
2%% |
n |
||||
1 |
1.0200 |
0000 |
1.0225 |
0000 |
1.0250 0000 |
1.0275 |
0000 |
1 |
2 |
0.5150 |
4950 |
0.5169 |
3758 |
0.5188 2716 |
0.5207 |
1825 |
2 |
3 |
0.3467 |
5467, |
0.3484 |
4458 |
0.3501 3717 |
0.3518 |
3243 |
3 |
4 |
0.2626 |
2375 |
0.2642 |
1893 |
0.2658 1788 |
0.2674 |
2059 |
4 |
5 |
0.2121 |
5839 |
0.2137 |
0022 |
0.2152 4686 |
0.2167 |
9832 |
5 |
6 |
0.1785 |
2581 |
0.1800 |
3496 |
0.1815 4997 |
0.1830 |
7083 |
6 |
7 |
0.1545 |
1196 |
0.1 560 |
0025 |
0.1574 9543 |
0.1589 |
9747 |
7 |
8 |
0.1365 |
0980 |
0.1379 |
8462 |
0.1394 6735 |
0.1409 |
5795 |
8 |
9 |
0.1225 |
1544 |
0.1239 |
8170 |
0.1254 5689 |
0.1269 |
4095 |
9 |
10 |
0.1113 |
2653 |
0.1127 |
8768 |
0.1142 5876 |
0.1 157 |
3972 |
10 |
11 |
0.1021 |
7794 |
0.1036 |
3649 |
0.1051 0596 |
0.1065 |
8629 |
11 |
12 |
0.0945 |
5960 |
0.0960 |
1740 |
0.0974 8713 |
0.0989 |
6871 |
12 |
13 |
0.0881 |
1835 |
0.0895 |
7686 |
0.0910 4827 |
0.0925 |
3252 |
13 |
14 |
0.0826 |
0197 |
0.0840 |
6230 |
0.0855 3653 |
0.0870 |
2457 |
14 |
15 |
0.0778 |
2547 |
0.0792 |
8852 |
0.0807 6646 |
0.0822 |
5917 |
15 |
16 |
0.0736 |
5013 |
0.0751 |
1663 |
0.0765 9899 |
0.0780 |
9710 |
16 |
17 |
0.0699 |
6984 |
0.0714 |
4039 |
0.0729 2777 |
0.0744 |
3186 |
17 |
18 |
0.0667 |
0210 |
0.0681 |
7720 |
0.0696 7008 |
0.071 1 |
8063 |
18 |
19 |
0.0637 |
8177 |
0.0652 |
6182 |
0.0667 6062 |
0.0682 |
7802 |
19 |
20 |
0.0611 |
5672 |
0.0626 |
4207 |
0.0641 4713 |
0.0656 |
7173 |
20 |
21 |
0.0587 |
8477 |
0.0602 |
7572 |
0.0617 8733 |
0.0633 |
1941 |
21 |
22 |
0.0566 |
3140 |
0.0581 |
2821 |
0.0596 4661 |
0.061 1 |
8640 |
22 |
23 |
0.0546 |
6810 |
0.0561 |
7097 |
0.0576 9638 |
0.0592 |
4410 |
23 |
24 |
0.0528 |
7110 |
0.0543 |
8023 |
0.0559 1282 |
0.0574 |
6863 |
24 |
25 |
0.0512 |
2044 |
0.0527 |
3599 |
0.0542 7592 |
0.0558 |
3997 |
25 |
26 |
0.0496 |
9923 |
0.0512 |
2134 |
0.0527 6875 |
0.0543 |
41 16 |
26 |
27 |
0.0482 |
9309 |
0.0498 |
2188 |
0.0513 7687 |
0.0529 |
5776 |
27 |
28 |
0.0469 |
8967 |
0.0485 |
2525 |
0.0500 8793 |
0.0516 |
7738 |
28 |
29 |
0.0457 |
7836 |
0.0473 |
2081 |
0.0488 9127 |
0.0504 |
8935 |
29 |
30 |
0.0446 |
4992 |
0.0461 |
9934 |
0.0477 7764 |
0.0493 |
8442 |
30 |
31 |
0.0435 |
9635 |
0.0451 |
5280 |
0.0467 3900 |
0.0483 |
5453 |
31 |
32 |
0.0426 |
1061 |
0.0441 |
7415 |
0.0457 6831 |
0.0473 |
9263 |
32 |
33 |
0.0416 |
8653 |
0.0432 |
5722 |
0.0448 5938 |
0.0464 |
9253 |
33 |
34 |
0.0408 |
1867 |
0.0423 |
9655 |
0.0440 0675 |
0.0456 |
4875 |
34 |
35 |
0.0400 |
0221 |
0.0415 |
8731 |
0.0432 0558 |
0.0448 |
5645 |
35 |
36 |
0.0392 |
3285 |
0.0408 |
2522 |
0.0424 5158 |
0.0441 |
1132 |
36 |
37 |
0.0385 |
0678 |
0.0401 |
0643 |
0.0417 4090 |
0.0434 |
0953 |
37 |
38 |
0.0378 |
2057 |
0.0394 |
2753 |
0.0410 7012 |
0.0427 |
4764 |
38 |
39 |
0.0371 |
71 14 |
0.0387 |
8543 |
0.0404 3615 |
0.0421 |
2256 |
39 |
40 |
0.0365 |
5575 |
0.0381 |
7738 |
0.0398 3623 |
0.0415 |
3151 |
40 |
41 |
0.0359 |
7188 |
0.0376 |
0087 |
0.0392 6786 |
0.0409 |
7200 |
41 |
42 |
0.0354 |
1729 |
0.0370 |
5364 |
0.0387 2876 |
0.0404 |
4175 |
42 |
43 |
0.0348 |
8993 |
0.0365 |
3364 |
0.0382 1688 |
0.0399 |
3871 |
43 |
44 |
0.0343 |
8794 |
0.0360 |
3901 |
0.0377 3037 |
0.0394 |
6100 |
44 |
45 |
0.0339 |
0962 |
0.0355 |
6805 |
0.0372 6752 |
0.0390 |
0693 |
45 |
46 |
0.0334 |
5342 |
0.0351 |
1921 |
0.0368 2676 |
0.0385 |
7493 |
46 |
47 |
0.0330 |
1792 |
0.0346 |
9107 |
0.0364 0669 |
0.0381 |
6358 |
47 |
48 |
0.0326 |
0184 |
0.0342 |
8233 |
0.0360 0599 |
0.0377 |
7158 |
48 |
49 |
0.0322 |
0396 |
0.0338 |
9179 |
0.0356 2348 |
0.0373 |
9773 |
49 |
50 |
0.0318 |
2321 |
0.0335 |
1836 |
0.0352 5806 |
0.0370 |
4092 |
50 |
42
Annuity Whose Present Value at Compound Interest Is 1 TABLE V. a^i = r(l-0
n |
2% |
91 r' |
91 r- ^ 2 ' 0 |
93,-r- |
n |
51 |
0.0314 5856 |
0.0331 6102 |
0.0349 0870 |
0.0367 0014 |
51 |
52 |
0.0311 0909 |
0.0328 1884 |
0.0345 7446 |
0.0363 7444 |
52 |
53 |
0.0307 7392 |
0.0324 9094 |
0.0342 5449 |
0.0360 6297 |
53 |
54 |
0.0304 5226 |
0.0321 7654 |
0.0339 4799 |
0.0357 6491 |
54 |
55 |
0.0301 4337 |
0.0318 7489 |
0.0336 5419 |
0.0354 7953 |
55 |
56 |
0.0298 4656 |
0.0315 8530 |
0.0333 7243 |
0.0352 0612 |
56 |
57 |
0.0295 6120 |
0.0313 0712 |
0.0331 0204 |
0.0349 4404 ] |
57 |
58 |
0.0292 8667 |
0.0310 3977 |
0.0328 4244 |
0.0346 9270 |
58 |
59 |
0.0290 2243 |
0.0307 8268 |
0.0325 9307 |
0.0344 5153 |
59 |
60 |
0.0287 6797 |
0.0305 3533 |
0.0323 5340 |
0.0342 2002 |
60 |
61 |
0.0285 2278 |
0.0302 9724 |
0.0321 2294 |
0.0339 9767 |
61 |
62 |
0.0282 8643 |
0.0300 6795 |
0.0319 0126 |
0.0337 8402 |
62 |
63 |
0.0280 5848 |
0.0298 4704 |
0.0316 8790 |
0.0335 7866 |
63 |
64 |
0.0278 3855 |
0.0296 3411 |
0.0314 8249 |
0.0333 8118 |
64 |
65 |
0.0276 2624 |
0.0294 2878 |
0.0312 8463 |
0.0331 9120 |
65 |
66 |
0.0274 2122 |
0.0292 3070 |
0.0310 9398 |
0.0330 0837 |
66 |
67 |
0.0272 2316 |
0.0290 3955 |
0.0309 1021 |
0.0328 3236 |
67 |
68 |
0.0270 3173 |
0.0288 5500 |
0.0307 3300 |
0.0326 6285 |
68 |
69 |
0.0268 4665 |
0.0286 7677 |
0.0305 6206 |
0.0324 9955 |
69 |
70 |
0.0266 6765 |
0.0285 0458 |
0.0303 9712 |
0.0323 4218 |
70 |
71 |
0.0264 9446 |
0.0283 3816 |
0.0302 3790 |
0.0321 9048 |
71 |
72 |
0.0263 2683 |
0.0281 7728 |
0.0300 8417 |
0.0320 4420 |
72 |
73 |
0.0261 6454 |
0.0280 2169 |
0.0299 3568 |
0.0319 0311 |
73 |
74 |
0.0260 0736 |
0.0278 71 18 |
0.0297 9222 |
0.0317 6698 |
74 |
75 |
0.0258 5508 |
0.0277 2554 |
0.0296 5358 |
0.0316 3560 |
75 |
76 |
0.0257 0751 |
0.0275 8457 |
0.0295 1956 |
0.0315 0878 |
76 |
77 |
0.0255 6447 |
0.0274 4808 |
0.0293 8997 |
0.0313 8633 |
77 |
78 |
0.0254 2576 |
0.0273 1589 |
0.0292 6463 |
0.0312 6806 |
78 |
79 |
0.0252 9123 |
0.0271 8784 |
0.0291 4338 |
0.0311 5382 |
79 |
80 |
0.0251 6071 |
0.0270 6376 |
0.0290 2605 |
0.0310 4342 |
80 |
81 |
0.0250 3405 |
0.0269 4350 |
0.0289 1248 |
0.0309 3674 |
81 |
82 |
0.0249 1110 |
0.0268 2692 |
0.0288 0254 |
0.0308 3361 |
82 |
83 |
0.0247 9173 |
0.0267 1387 |
0.0286 9608 |
0.0307 3389 |
83 |
84 |
0.0246 7581 |
0.0266 0423 |
0.0285 9298 |
0.0306 3747 |
84 |
85 |
0.0245 6321 |
0.0264 9787 |
0.0284 9310 |
0.0305 4420 |
85 |
86 |
0.0244 5381 |
0.0263 9467 |
0.0283 9633 |
0.0304 5397 |
86 |
87 |
0.0243 4750 |
0.0262 9452 |
0.0283 0255 |
0.0303 6667 |
87 |
88 |
0.0242 4416 |
0.0261 9730 |
0.0282 1 165 |
0.0302 8219 |
88 |
89 |
0.0241 4370 |
0.0261 0291 |
0.0281 2353 |
0.0302 0041 |
89 |
90 |
0.0240 4602 |
0.0260 1126 |
0.0280 3809 |
0.0301 2125 |
90 |
91 |
0.0239 5101 |
0.0259 2224 |
0.0279 5523 |
0.0300 4460 |
91 |
92 |
0.0238 5859 |
0.0258 3577 |
0.0278 7486 |
0.0299 7038 |
92 |
93 |
0.0237 6868 |
0.0257 5176 |
0.0277 9690 |
0.0298 9850 |
93 |
94 |
0.0236 8118 |
0.0256 7012 |
0.0277 2126 |
0.0298 2887 |
94 |
95 |
0.0235 9602 |
0.0255 9078 |
0.0276 4786 |
0.0297 6141 |
95 |
96 |
0.0235 1313 |
0.0255 1366 |
0.0275 7662 |
0.0296 9605 |
96 |
97 |
0.0234 3242 |
0.0254 3868 |
0.0275 0747 |
0.0296 3272 |
97 |
98 |
0.0233 5383 |
0.0253 6578 |
0.0274 4034 |
0.0295 7134 |
98 |
99 |
0.0232 7729 |
0.0252 9489 |
0.0273 7517 |
0.0295 1185 |
99 |
100 |
0.0232 0274 |
0.0252 2594 |
0.0273 1188 |
0.0294 5418 |
100 |
43
Annuity Whose Present Value at Compound Interest Is 1 TABLE v. ^ a^ = i/(l-vn
n |
3^ |
c |
3^% |
4% |
4J^% |
n |
|||
1 |
1.0300 |
0000 |
1.0350 |
0000 |
1.0400 |
0000 |
1.0450 |
0000 |
1 |
2 |
0.5226 |
1084 |
0.5264 |
0049 |
0.5301 |
9608 |
0.5339 |
9756 |
2 |
3 |
0.3535 |
3036 |
0.3569 |
3418 |
0.3603 |
4854 |
0.3637 |
7336 |
3 |
4 |
0.2690 |
2705 |
0.2722 |
5114 |
0.2754 |
9005 |
0.2787 |
4365 |
4 |
5 |
0.2183 |
5457 |
0.2214 |
8137 |
0.2246 |
2711 |
0.2277 |
9164 |
5 |
6 |
0.1845 |
9750 |
0.1876 |
6821 |
0.1907 |
6190 |
0.1938 |
7839 |
6 |
7 |
0.1605 |
0635 |
0.1635 |
4449 |
0.1666 |
0961 |
0.1697 |
0147 |
7 |
8 |
0.1424 |
5639 |
0.1454 |
7665 |
0.1485 |
2783 |
0.1516 |
0965 |
8 |
9 |
0.1284 |
3386 |
0.1314 |
4601 |
0.1344 |
9299 |
0.1375 |
7447 |
9 |
10 |
0.1172 |
3051 |
0.1202 |
4137 |
0.1232 |
9094 |
0.1263 |
7882 |
10 |
11 |
0.1080 |
7745 |
0.1110 |
9197 |
0.1141 |
4904 |
0.1172 |
4818 |
11 |
12 |
0.1004 |
6209 |
0.1034 |
8395 |
0.1065 |
5217 |
0.1096 |
6619 |
12 |
13 |
0.0940 |
2954 |
0.0970 |
6157 |
0.1001 |
4373 |
0.1032 |
7535 |
13 |
14 |
0.0885 |
2634 |
0.0915 |
7073 |
0.0946 |
6897 |
0.0978 |
2032 |
14 |
15 |
0.0837 |
6658 |
0.0868 |
2507 |
0.0899 |
4110 |
0.0931 |
1381 |
15 |
16 |
0.0796 |
1085 |
0.0826 |
8483 |
0.0858 |
2000 |
0.0890 |
1537 |
16 |
17 |
0.0759 |
5253 |
0.0790 |
4313 |
0.0821 |
9852 |
0.0854 |
.1758 |
17 |
18 |
0.0727 |
0870 |
0.0758 |
1684 |
0.0789 |
9333 |
0.0822 |
3690 |
18 |
19 |
0.0698 |
1388 |
0.0729 |
4033 |
0.0761 |
3862 |
0.0794 |
0734 |
19 |
20 |
0.0672 |
1571 |
0.0703 |
6108 |
0.0735 |
8175 |
0.0768 |
7614 |
20 |
21 |
0.0648 |
7178 |
0.0680 |
3659 |
0.0712 |
8011 |
0.0746 |
0057 |
21 |
22 |
0.0627 |
4739 |
0.0659 |
3207 |
0.0691 |
9881 |
0.0725 |
4565 |
22 |
23 |
0.0608 |
1390 |
0.0640 |
1880 |
0.0673 |
0906 |
0.0706 |
8249 |
23 |
24 |
0.0590 |
4742 |
0.0622 |
7283 |
0.0655 |
8683 |
0.0689 |
8703 |
24 |
25 |
0.0574 |
2787 |
0.0606 |
7404 |
0.0640 |
1196 |
0.0674 |
3903 |
25 |
26 |
0.0559 |
3829 |
0.0592 |
0540 |
0.0625 |
6738 |
0.0660 |
2137 |
26 |
27 |
0.0545 |
6421 |
0.0578 |
5241 |
0.0612 |
3854 |
0.0647 |
1946 |
27 |
28 |
0.0532 |
9323 |
0.0566 |
0265 |
0.0600 |
1298 |
0.0635 |
2081 |
28 |
29 |
0.0521 |
1467 |
0.0554 |
4538 |
0.0588 |
7993 |
0.0624 |
1461 |
29 |
30 |
0.0510 |
1926 |
0.0543 |
7133 |
0.0578 |
3010 |
0.0613 |
9154 |
30 |
31 |
0.0499 |
9893 |
0.0533 |
7240 |
0.0568 |
5535 |
0.0604 |
4345 |
31 |
32 |
0.0490 |
4662 |
0.0524 |
4150 |
0.0559 |
4859 |
0.0595 |
6320 |
32 |
33 |
0.0481 |
5612 |
0.0515 |
7242 |
0.0551 |
0357 |
0.0587 |
4453 |
33 |
34 |
0.0473 |
2196 |
0.0507 |
5966 |
0.0543 |
1477 |
0.0579 |
8191 |
34 |
35 |
0.0465 |
3929 |
0.0499 |
9835 |
0.0535 |
7732 |
0.0572 |
7045 |
35 |
36 |
0.0458 |
0379 |
0.0492 |
8416 |
0.0528 |
8688 |
0.0566 |
0578 |
36 |
37 |
0.0451 |
1 162 |
0.0486 |
1325 |
0.0522 |
3957 |
0.0559 |
8402 |
37 |
38 |
0.0444 |
5934 |
0.0479 |
8214 |
0.0516 |
3192 |
0.0554 |
0169 |
38 |
39 |
0.0438 |
4385 |
0.0473 |
8775 |
0.0510 |
6083 |
0.0548 |
5567 |
39 |
40 |
0.0432 |
6238 |
0.0468 |
2728 |
0.0505 |
2349 |
0.0543 |
4315 |
40 |
41 |
0.0427 |
1241 |
0.0462 |
9822 |
0.0500 |
1738 |
0.0538 |
6158 |
41 |
42 |
0.0421 |
9167 |
0.0457 |
9828 |
0.0495 |
4020 |
0.0534 |
0868 |
42 |
43 |
0.0416 |
981 1 |
0.0453 |
2539 |
0.0490 |
8989 |
0.0529 |
8235 |
43 |
44 |
0.0412 |
2985 |
0.0448 |
7768 |
0.0486 |
6454 |
0.0525 |
8071 |
44 |
45 |
0.0407 |
8518 |
0.0444 |
5343 |
0.0482 |
6246 |
0.0522 |
0202 |
45 |
46 |
0.0403 |
6254 |
0.0440 |
5108 |
0.0478 |
8205 |
0.0518 |
4471 |
46 |
47 |
0.0399 |
6051 |
0.0436 |
6919 |
0.0475 |
2189 |
0.0515 |
0734 |
47 |
48 |
0.0395 |
7777 |
0.0433 |
0646 |
0.0471 |
8065 |
0.051 1 |
8858 |
48 |
49 |
0.0392 |
1314 |
0.0429 |
6167 |
0.0468 |
5712 |
0.0508 |
8722 |
49 |
50 |
0.0388 |
6550 |
0.0462 |
3371 |
0.0465 |
5020 |
0.0506 |
0215 |
50 |
44
Annuity Whose Present Value at Compound Interest Is 1 TABLE V. aii = i (l-r")
n |
3% |
sh% |
4% |
^H% |
n |
51 |
0.0385 3382 |
0.0423 2156 |
0.0462 5885 |
0.0503 3232 |
51 |
52 |
0.0382 1718 : |
0.0420 2429 |
0.0459 8212 |
0.0500 7679 |
52 |
53 |
0.0379 1471 |
0.0417 4100 |
0.0457 1915 |
0.0498 3469 |
53 |
54 |
0.0376 2558 |
0.0414 7090 |
0.0454 6910 |
0.0496 0519 |
54 |
55 |
0.0373 4907 |
0.0412 1323 |
0.0452 3124 |
0.0493 8754 |
55 |
56 |
0.0370 8447 |
0.0409 6730 |
0.0450 0487 |
0.0491 8105 |
56 |
57 |
0.0368 3114 |
0.0407 3245 |
0.0447 8932 |
0.0489 8506 |
57 |
58 |
0.0365 8848 |
0.0405 0810 |
0.0445 8401 |
0.0487 9897 |
58 |
59 |
0.0363 5593 |
0.0402 9366 |
0.0443 8836 |
0.0486 2221 i |
59 |
60 |
0.0361 3296 |
0.0400 8862 1 |
0.0442 0185 |
0.0484 5426 |
60 |
61 |
0.0359 1908 |
0.0398 9249 |
0.0440 2398 |
0.0482 9462 |
61 |
62 |
0.0357 1385 |
0.0397 0480 |
0.0438 5430 |
0.0481 4284 |
62 |
63 |
0.0355 1682 |
0.0395 2513 |
0.0436 9237 |
0.0479 9848 |
63 |
64 |
0.0353 2760 |
0.0393 5308 |
0.0435 3780 |
0.0478 6115 |
64 |
65 |
0.0351 4581 |
0.0391 8826 |
0.0433 9019 |
0.0477 3047 |
65 |
66 |
0.0349 7110 |
0.0390 3031 |
0.0432 4921 |
0.0476 0608 |
66 |
67 |
0.0348 0313 |
0.0388 7892 |
0.0431 1451 |
0.0474 8765 |
67 |
68 |
0.0346 4159 |
0.0387 3375 |
0.0429 8578 |
0.0473 7487 |
68 |
69 |
0.0344 8618 |
0.0385 9453 |
0.0428 6272 |
0.0472 6745 |
69 |
70 |
0.0343 3663 |
0.0384 6095 |
0.0427 4506 |
0.0471 6511 |
70 |
71 |
0.0341 9266 |
0.0383 3277 |
0.0426 3253 |
0.0470 6759 |
71 |
72 |
0.0340 5404 |
0.0382 0973 |
0.0425 2489 |
0.0469 7465 |
72 |
73 |
0.0339 2053 |
0.0380 9160 |
0.0424 2190 |
0.0468 8606 |
73 |
74 |
0.0337 9191 |
0.0379 7816 |
0.0423 2334 |
0.0468 0159 |
74 |
75 |
0.0336 6796 |
0.0378 6919 |
0.0422 2900 |
0.0467 2104 |
75 |
76 |
0.0335 4849 |
0.0377 6450 |
0.0421 3869 |
0.0466 4422 |
76 |
77 |
0.0334 3331 |
0.0376 6390 |
0.0420 5221 |
0.0465 7094 |
77 |
78 |
0.0333 2224 |
0.0375 6721 |
0.0419 6939 |
0.0465 0104 |
78 |
79 |
0.0332 1510 |
0.0374 7426 |
0.0418 9007 |
0.0464 3434 |
79 |
80 |
0.0331 1175 |
0.0373 8489 |
0.0418 1408 |
0.0463 7069 |
80 |
81 |
0.0330 1201 |
0.0372 9894 |
0.0417 4127 |
0.0463 0995 |
81 |
82 |
0.0329 1576 |
0.0372 1628 |
0.0416 7150 |
0.0462 5197 |
82 |
83 |
0.0328 2284 |
0.0371 3676 |
0.0416 0463 |
0.0461 9663 |
83 |
84 |
0.0327 3313 |
0.0370 6025 |
0.0415 4054 |
0.0461 4379 |
84 |
85 |
0.0326 4650 |
0.0369 8662 |
0.0414 7909 |
0.0460 9334 |
85 |
86 |
0.0325 6284 |
0.0369 1576 |
0.0414 2018 |
0.0460 4516 |
86 |
87 |
0.0324 8202 |
0.0368 4756 |
0.0413 6370 |
0.0459 9915 |
87 |
88 |
0.0324 0393 |
0.0367 8190 |
0.0413 0953 |
0.0459 5522 |
88 |
89 |
0.0323 2848 |
0.0367 1868 |
0.0412 5758 |
0.0459 1325 |
89 |
90 |
0.0322 5556 |
0.0366 5781 |
0.0412 0775 |
0.0458 7316 |
90 |
91 |
0.0321 8508 |
0.0365 9919 |
0.0411 5995 |
0.0458 3486 |
91 |
92 |
0.0321 1694 |
0.0365 4273 |
0.0411 1410 |
0.0457 9827 |
92 |
93 |
0.0320 5107 |
0.0364 8834 |
0.0410 7010 |
0.0457 6331 |
93 |
94 |
0.0319 8737 |
0.0364 3594 |
0.0410 2789 |
0.0457 2991 |
94 |
95 |
0.0319 2577 |
0.0363 8546 |
0.0409 8738 |
0.0456 9799 |
95 |
96 |
0.0318 6619 |
0.0363 3682 |
0.0409 4850 |
0.0456 6749 |
96 |
97 |
0.0318 0856 |
0.0362 8995 |
0.0409 1119 |
0.0456 3834 |
97 |
98 |
0.0317 5281 |
0.0362 4478 |
0.0408 7538 |
0.0456 1048 |
98 |
99 |
0.0316 9886 |
0.0362 0124 |
0.0408 4100 |
0.0455 8385 |
99 |
100 |
0.0316 4667 |
0.0361 5927 |
0.0408 0800 |
0.0455 5839 |
100 |
45
Annuity Whose Present Value at Compound Interest Is 1
TABLE V. ^ a^ = i/il-vn
n |
5' |
c |
6'.c- |
7 So |
n |
||||
1 |
1.0500 |
0000 |
1.0550 |
0000 |
1.0600 |
0000 |
1.0700 |
0000 |
1 |
2 |
0.5378 |
0488 |
0.5416 |
1800 |
0.5454 |
3689 |
0.5530 |
9179 |
2 |
3 |
0.3672 |
0856 |
0.3706 |
5407 |
0.3741 |
0981 |
0.3810 |
5166 |
3 |
4 |
0.2820 |
1183 |
0.2852 |
9449 |
0.2885 |
9149 |
0.2952 |
2812 |
4 |
5 |
0.2309 |
7480 |
0.2341 |
7644 |
0.2373 |
9640 |
0.2438 |
9069 |
5 |
6 |
0.1970 |
1747 |
0.2001 |
7895 |
0.2033 |
6263 |
0.2097 |
9580 |
6 |
7 |
0.1728 |
1982 |
0.1759 |
6442 |
0.1791 |
3502 |
0.1855 |
5322 |
7 |
8 |
0.1547 |
2181 |
0.1578 |
6401 |
0.1610 |
3594 |
0.1674 |
6776 |
8 |
9 |
0.1406 |
9008 |
0.1438 |
3946 |
0.1470 |
2224 |
0.1534 |
8647 |
9 |
10 |
0.1295 |
0458 |
0.1326 |
6777 |
0.1358 |
6796 |
0.1423 |
7750 |
10 |
11 |
0.1203 |
8889 |
0.1235 |
7065 |
0.1267 |
9294 |
0.1333 |
5690 |
11 |
12 |
0.1128 |
2541 |
0.1160 |
2923 |
0.1192 |
7703 |
0.1259 |
0199 |
12 |
13 |
0.1064 |
5577 |
0.1096 |
8426 |
0.1129 |
6011 |
0.1 196 |
5085 |
13 |
14 |
0.1010 |
2397 |
0.1042 |
7912 |
0.1075 |
8491 |
0.1143 |
4494 |
14 |
15 |
0.0963 |
4229 |
0.0996 |
2560 |
0.1029 |
6276 |
0.1097 |
9462 |
15 |
16 |
0.0922 |
6991 |
0.0955 |
8254 |
0.0989 |
5214 |
0.1058 |
5765 |
16 |
17 |
0.0886 |
9914 |
0.0920 |
4198 |
0.0954 |
4480 |
0.1024 |
2519 |
17 |
18 |
0.0855 |
4622 |
0.0889 |
1992 |
0.0923 |
5654 |
0.0994 |
1260 |
18 |
19 |
0.0827 |
4501 |
0.0861 |
5005 |
0.0896 |
2086 |
0.0967 |
5301 |
19 |
20 |
0.0802 |
4259 |
0.0836 |
7933 |
0.0871 |
8456 |
0.0943 |
9293 |
20 |
21 |
0.0779 |
9611 |
0.0814 |
6478 |
0.0850 |
0455 |
0.0922 |
8900 |
21 |
22 |
0.0759 |
7051 |
0.0794 |
7123 |
0.0830 |
4557 |
0.0904 |
0577 |
22 |
23 |
0.0741 |
3682 |
0.0776 |
6965 |
0.0812 |
7848 |
0.0887 |
1393 |
23 |
24 |
0.0724 |
7090 |
0.0760 |
3580 |
0.0796 |
7900 |
0.0871 |
8902 |
24 |
25 |
0.0709 |
5246 |
0.0745 |
4935 |
0.0782 |
2672 |
0.0858 |
1052 |
25 |
26 |
0.0695 |
6432 |
0.0731 |
9307 |
0.0769 |
0435 |
0.0845 |
6103 |
26 |
27 |
0.0682 |
9186 |
0.0719 |
5228 |
0.0756 |
9717 |
0.0834 |
2573 |
27 |
28 |
0.0671 |
2253 |
0.0708 |
1440 |
0.0745 |
9255 |
0.0823 |
9193 |
28 |
29 |
0.0660 |
4551 |
0.0697 |
6857 |
0.0735 |
7961 |
0.0814 |
4865 |
29 |
30 |
0.0650 |
5144 |
0.0688 |
0539 |
0.0726 |
4891 |
0.0805 |
8640 |
30 |
31 |
0.0641 |
3212 |
0.0679 |
1665 |
0.0717 |
9222 |
0.0797 |
9691 |
31 |
32 |
0.0632 |
8042 |
0.0670 |
9519 |
0.0710 |
0234 |
0.0790 |
7292 |
32 |
33 |
0.0624 |
9004 |
0.0663 |
3469 |
0.0702 |
7293 |
0.0784 |
0807 |
33 |
34 |
0.0617 |
5545 |
0.0656 |
2958 |
0.0695 |
9843 |
0.0777 |
9674 |
34 |
35 |
0.0610 |
7171 |
0.0649 |
7493 |
0.0689 |
7386 |
0.0772 |
3396 |
35 |
36 |
0.0604 |
3446 |
0.0643 |
6635 |
0.0683 |
9483 |
0.0767 |
1531 |
36 |
37 |
0.0598 |
3979 |
0.0637 |
9993 |
0.0678 |
5743 |
0.0762 |
3685 |
37 |
38 |
0.0592 |
8423 |
0.0632 |
7217 |
0.0673 |
5812 |
0.0757 |
9505 |
38 |
39 |
0.0587 |
6462 |
0.0627 |
7991 |
0.0668 |
9377 |
0.0753 |
8676 |
39 |
40 |
0.0582 |
7816 |
0.0623 |
2034 |
0.0664 |
6154 |
0.0750 |
0914 |
40 |
41 |
0.0578 |
2229 |
0.0618 |
9090 |
0.0660 |
5886 |
0.0746 |
5962 |
41 |
42 |
0.0573 |
9471 |
0.0614 |
8927 |
0.0656 |
8342 |
0.0743 |
3591 |
42 |
43 |
0.0569 |
9333 |
0.061 1 |
1337 |
0.0653 |
3312 |
0.0740 |
3590 |
43 |
44 |
0.0566 |
1625 |
0.0607 |
6128 |
0.0650 |
0606 |
0.0737 |
5769 |
44 |
45 |
0.0562 |
6173 |
0.0604 |
3127 |
0.0647 |
0050 |
0.0734 |
9957 |
45 |
46 |
0.0559 |
2820 |
0.0601 |
2175 |
0.0644 |
1485 |
0.0732 |
5996 |
46 |
47 |
0.0556 |
1421 |
0.0598 |
3129 |
0.0641 |
4768 |
0.0730 |
3744 |
47 |
48 |
0.0553 |
1843 |
0.0595 |
5854 |
0.0638 |
9766 |
0.0728 |
3070 |
48 |
49 |
0.0550 |
3965 |
0.0593 |
0230 |
0.0636 |
6356 |
0.0726 |
3853 |
49 |
50 |
0.0547 |
7674 |
0.0590 |
6145 |
0.0634 |
4429 |
0.0724 |
5985 |
50 |
10
Annuity Whose Present Value at Compound Interest Is 1
TABLE V.
n |
5% |
5^% |
6% |
7% |
n |
51 |
0.0545 2867 |
"1 0.0588 3495 |
0.0632 3880 |
0.0722 9365 |
51 |
52 |
0.0542 9450 |
0.0586 2185 |
0.0630 4617 |
0.0721 3901 |
52 |
53 |
0.0540 7334 |
0.0584 2130 |
0.0628 6551 |
0.0719 9509 |
53 |
54 |
0.0538 6438 |
0.0582 3245 |
0.0626 9602 |
0.0718 6110 |
54 |
55 |
0.0536 6686 |
0.0580 5458 |
0.0625 3696 |
0.0717 3633 |
55 |
56 |
0.0534 8010 |
0.0578 8698 |
0.0623 8765 |
0.0716 201 1 |
56 |
57 |
0.0533 0343 |
0.0577 2900 |
0.0622 4744 |
0.0715 1 183 |
57 |
58 |
0.0531 3626 |
0.0575 8006 |
0.0621 1574 |
0.0714 1093 |
58 |
59 |
0.0529 7802 |
0.0574 3959 |
0.0619 9200 |
0.0713 1689 |
59 |
60 |
0.0528 2818 |
0.0573 0707 |
0.0618 7572 |
0.0712 2923 |
60 |
61 |
0.0526 8627 |
0.0571 8202 |
0.0617 6642 |
0.0711 4749 |
61 |
62 |
0.0525 5183 |
0.0570 6400 |
0.0616 6366 |
0.0710 7127 |
62 |
63 |
0.0524 2442 |
0.0569 5258 |
0.0615 6704 |
0.0710 0019 |
63 |
64 |
0.0523 0365 |
0.0568 4737 |
0.0614 7615 |
0.0709 3388 |
64 |
65 |
0.0521 8915 |
0.0567 4800 |
0.0613 9066 |
0.0708 7203 |
65 |
66 |
0.0520 8057 |
0.0566 5413 |
0.0613 1022 |
0.0708 1431 |
66 |
67 |
0.0519 7757 |
0.0565 6544 |
0.0612 3454 |
0.0707 6046 |
67 |
68 |
0.0518 7986 |
0.0564 8163 |
0.0611 6330 |
0.0707 1021 |
68 |
69 |
0.0517 8715 |
0.0564 0242 |
0.0610 9625 |
0.0706 6331 |
69 |
70 |
0.0516 9915 |
0.0563 2754 |
0.0610 3313 |
0.0706 1953 |
70 |
71 |
0.0516 1563 |
0.0562 5675 |
0.0609 7370 |
0.0705 7866 |
71 |
72 |
0.0515 3633 |
0.0561 8982 |
0.0609 1774 |
0.0705 4051 |
72 |
73 |
0.0514 6103 |
0.0561 2652 |
0.0608 6505 |
0.0705 0490 |
73 |
74 |
0.0513 8953 |
0.0560 6665 |
0.0608 1542 |
0.0704 7164 |
74 |
75 |
0.0513 2161 |
0.0560 1002 |
0.0607 6867 |
0.0704 4060 |
75 |
76 |
0.0512 5709 |
0.0559 5645 |
0.0607 2463 |
0.0704 1160 |
76 |
77 |
0.051 1 9580 |
0.0559 0577 |
0.0606 8315 |
0.0703 8453 |
77 |
78 |
0.0511 3756 |
0.0558 5781 |
0.0606 4407 |
0.0703 5924 |
78 |
79 |
0.0510 8222 |
0.0558 1243 |
0.0606 0724 |
0.0703 3563 |
79 |
80 |
0.0510 2962 |
0.0557 6948 |
0.0605 7254 |
0.0703 1357 |
80 |
81 |
0.0509 7963 |
0.0557 2884 |
0.0605 3984 |
0.0702 9297 |
81 |
82 |
0.0509 321 1 |
0.0556 9036 |
0.0605 0903 |
0.0702 7373 |
82 |
83 |
0.0508 8694 |
0.0556 5395 |
0.0604 7998 |
0.0702 5576 |
83 |
84 |
0.0508 4399 |
0.0556 1947 |
0.0604 5261 |
0.0702 3897 |
84 |
85 |
0.0508 0316 |
0.0555 8683 |
0.0604 2681 |
0.0702 2329 |
85 |
86 |
0.0507 6433 |
0.0555 5593 |
0.0604 0249 |
0.0702 0863 |
86 |
87 |
0.0507 2740 |
0.0555 2667 |
0.0603 7956 |
0.0701 9495 |
87 |
88 |
0.0506 9228 |
0.0554 9896 |
0.0603 5795 |
0.0701 8216 |
88 |
89 |
0.0506 5888 |
0.0554 7273 |
0.0603 3757 |
0.0701 7021 |
. 89 |
90 |
0.0506 271 1 |
0.0554 4788 |
0.0603 1836 |
0.0701 5905 |
90 |
91 |
0.0505 9689 |
0.0554 2435 |
0.0603 0025 |
0.0701 4863 |
91 |
92 |
0.0505 6815 |
0.0554 0207 |
0.0602 8318 |
0.0701 3888 |
92 |
93 |
0.0505 4080 |
0.0553 8096 |
0.0602 6708 |
0.0701 2978 |
83 |
94 |
0.0505 1478 |
0.0553 6097 |
0.0602 5190 |
0.0701 2128 |
94 |
95 |
0.0504 9003 |
0.0553 4204 |
0.0602 3758 |
0.0701 1333 |
95 |
96 |
0.0504 6648 |
0.0553 2410 |
0.0602 2408 |
0.0701 0590 |
96 |
97 |
0.0504 4407 |
0.0553 071 1 |
0.0602 1 135 |
0.0700 9897 |
97 |
98 |
0.0504 2274 |
0.0552 9101 |
0.0601 9935 |
0.0700 9248 |
98 |
99 |
0.0504 0245 |
0.0552 7577 |
0.0601 8803 |
0.0700 8643 |
99 |
100 |
0.0503 8314 |
0.0552 6132 |
0.0601 7736 |
0.0700 8076 |
.100 |
47
Amount of 1 at Compound Interest for Fractional Periods
TABLE VI. (l+i)i >
p |
1% |
ih7o |
ih% |
l%Sc P |
|
2 3 4 6 12 13 26 52 |
1.0049 8756 1.0033 2228 1.0024 9068 1 .0016 5977 1.0008 2954 1.0007 6570 1.0003 8278 1.0001 9137 |
1.0062 3059 1.0041 4943 1.0031 1046 1.0020 7257 1.0010 3575 1.0009 5604 1.0004 7790 1.0002 3892 |
1.0074 7208 1.0049 7521 1.0037 2909 1.0024 8452 1.0012 4149 1.0011 4594 1.0005 7280 1.0002 8636 |
1.0087 1205 1.0057 9963 1.0043 4658 1.0028 9562 1.0014 4677 1.0013 3540 1.0006 6748 1.0003 3368 |
2 3 4 6 12 13 26 52 |
P |
2% |
2h% |
2h7o |
2%% P |
|
2 3 4 6 12 13 26 52 |
1.0099 5050 1.0066 2271 1.0049 6293 1.0033 0589 1.0016 5158 1.0015 2444 1.0007 6193 1.0003 8089 |
1.0111 8742 1.0074 4444 1.0055 7815 1.0037 1532 1.0018 5594 1.0017 1305 1.0008 5616 1.0004 2799 |
1.0124 2284 1.0082 6484 1.0061 9225 1.0041 2392 1.0020 5984 1.0019 0124 1.0009 5017 1.0004 7497 |
1.0136 5675 2 1.0090 8390 3 1.0068 0522 4 1.0045 3168 6 1.0022 6328 12 1.0020 8900 13 1.0010 4396 26 1.0005 2184 52 |
|
P |
3% |
sh% |
4% |
^h% |
P |
2 3 4 6 12 13 26 52 |
1.0148 8916 1.0099 0163 1.0074 1707 1.0049 3862 1.0024 6627 1.0022 7634 1.001 1 3752 1.0005 6860 |
1.0173 4950 1.01 15 3314 1.0086 3745 1.0057 5004 1.0028 7090 1.0026 4977 1.0013 2401 1.0006 6179 |
1.0198 0390 1.0131 5941 1.0098 5341 1.0065 5820 1.0032 7374 1.0030 2153 1.0015 0963 1.0007 5453 |
1.0222 5242 1.0147 8046 1.01 10 6499 1.0073 6312 1.0036 7481 1.0033 9165 1.0016 9439 1.0008 4684 |
2 3 4 6 12 13 26 52 |
P |
5% |
5^% |
6% |
-!% |
P |
2 3 4 6 12 13 26 52 . |
1.0246 9508 1.0163 9636 1.0122 7224 1.0081 6485 1.0040 7412 1.0037 6014 1.0018 7831 1.0009 3871 |
1.0271 3193 1.0180 0713 1.0134 7518 1.0089 6340 1.0044 7170 1.0041 2701 1.0020 6138 1.0010 3016 |
1.0295 6302 1.0196 1282 1.0146 7385 1.0097 5880 1.0048 6755 1.0044 9228 1.0022 4363 1.001 1 2118 |
1.0344 0804 1.0228 0912 1.0170 5853 1.0113 4026 1.0056 5415 1.0052 1808 1.0026 0564 1.0013 0197 |
2 3 4 6 12 13 26 52 |
Logarithm of Amount of 1 at Compountl Interest for Fraetional Periods
TABLE ML
log {i+ty^p
p |
I'o |
1 V ' |
1 1 ( ' A 2 C |
1%% |
P |
2 |
.002 1607 |
.002 6975 |
.003 2330 |
.003 7672 |
2 |
3 |
.001 4405 |
.001 7983 |
.002 1553 |
.002 5115 |
3 |
4 |
.001 0803 |
.001 3488 |
.001 6165 |
.001 8836 |
4 |
6 |
.000 7202 |
.000 8992 |
.001 0777 |
.001 2557 |
6 |
12 |
.000 3601 |
.000 4496 |
.000 5388 |
.000 6279 |
12 |
13 |
.000 3324 |
.000 4150 |
.000 4974 |
.000 5796 |
13 |
26 |
.000 1662 |
.000 2075 |
.000 2487 |
.000 2898 |
1 26 |
52 |
.000 0831 |
.000 1038 |
.000 1243 |
.000 1449 |
52 |
P |
2% |
2h% |
^-^ /o |
2%% |
j P |
2 |
.004 3001 |
.004 8317 |
.005 3619 |
.005 8909 |
2 |
3 |
.002 8667 |
.003 2211 |
.003 5746 |
.003 9273 |
3 |
4 |
.002 1500 |
.002 4158 |
.002 6810 |
.002 9455 |
4 |
6 |
.001 4334 |
.001 6106 |
.001 7873 |
.001 9636 |
6 |
12 |
.000 7167 |
.000 8053 |
.000 8937 |
.000 9818 |
12 |
13 |
.000 6616 |
.000 7433 |
.000 8249 |
.000 9063 |
13 |
26 |
.000 3308 |
.000 3717 |
.000 4125 |
.000 4531 |
26 |
52 |
.000 1654 |
.000 1858 |
.000 2062 |
.000 2266 |
52 |
P |
3% |
3^% |
4% |
^h% |
P |
2 |
.006 4186 |
.007 4702 |
.008 5167 |
.009 5581 |
2 |
3 |
.004 2791 |
.004 9801 |
.005 6778 |
.006 3721 |
3 |
4 |
.003 2093 |
.003 7351 |
.004 2583 |
.004 7791 |
4 |
6 |
.002 1395 |
.002 4901 |
.002 8389 |
.003 1860 |
6 |
12 |
.001 0698 |
.001 2450 |
.001 4194 |
.001 5930 |
12 |
13 |
.000 9875 |
.001 1493 |
.001 3103 |
.001 4705 |
13 |
26 |
.000 4937 |
.000 5746 |
.000 6551 |
.000 7352 |
26 |
52 |
.000 2469 |
.000 2873 |
.000 3276 |
.000 3676 |
52 |
P |
5% |
5h% |
6% |
7% |
P |
2 |
.010 5946 |
.011 6262 |
.012 6529 |
.014 6919 |
2 |
3 |
.007 0631 |
.007 7508 |
.008 4353 |
.009 7946 • |
3 |
4 |
.005 2973 |
-.005 8131 |
.006 3265 |
.007 3459 |
4 |
6 |
.003 5315 |
.003 8754 |
.004 2176 |
.004 8973 |
6 |
12 |
.001 7658 |
.001 9377 |
.002 1088 |
.002 4486 |
12 |
13 |
.001. 6299 |
.001 7887 |
.001 9466 |
.002 2603 |
13 |
26 |
.000 8150 |
.000 8943 |
.000 9733 |
.001 1301 |
26 |
.52 |
.000 4075 |
.000 4472 |
.000 4867 |
.000 5651 |
52 |
19
Nominal Rate of Interest y with Frequency of Conversion p Corresponding to Effective Rate of Interest i
TABLE VIII.
j;„.=p[(l+')''^-l]
p |
1% |
ih% |
ih'c |
1 3,r • |
P |
2 3 4 6 12 13 26 52 CO |
.0099 7512 .0099 6685 .0099 6272 .0099 5859 .0099 5446 .0099 5414 .0099 5224 .0099 5128 .0099 5033 |
.0124 6118 .0124 4828 .0124 4183 .0124 3539 .0124 2895 .0124 2846 .0124 2549 .0124 2400 .0124 2252 |
.0149 4417 .0149 2562 .0149 1636 .0149 0710 .0148 9785 .0148 9714 .0148 9288 .0148 9074 .0148 8861 |
.0174 2410 .0173 9890 .0173 8631 .0173 7374 .0173 6119 .0183 6022 .0173 5443 : .0173 5153 .0173 4864 |
2 3 4 6 12 13 26 52 CO |
p |
2% |
2h% |
2H% |
2%% |
p |
2 3 4 6 12 13 26 52 CO |
.0199 0099 .0198 6813 .0198 5173 .0198 3534 .0198 1898 .0198 1772 .0198 1017 .0198 0640 .0198 0263 |
.0223 7484 .0223 3333 .0223 1261 .0222 9192 .0222 7125 .0222 6966 .0222 6013 .0222 5537 .0222 5061 |
.0248 4567 .0247 9451 .0247 6899 .0247 4349 .0247 1804 .0247 1608 .0247 0434 .0246 9848 .0246 9261 |
.0273 1349 .0272 5170 .0272 2087 .0271 9009 .0271 5936 .0271 5699 .0271 4283 .0271 3575 .0271 2867 |
2 3 4 6 12 13 26 52 CO |
p |
3% |
sh% |
4% |
^h% |
P |
2 3 4 6 12 13 26 52 CO |
.0297 7831 .0297 0490 .0296 6829 .0296 3173 .0295 9524 .0295 9243 .0295 7561 .0295 6721 .0295 5880 |
.0346 9899 .0345 9943 .0345 4978 .0345 0024 .0344 5078 .0344 4698 .0344 2420 .0344 1281 .0344 0143 |
.0396 0781 .0394 7821 .0394 1363 .0393 4918 .0392 8488 .0392 7994 .0392 5031 .0392 3551 .0392 2071 |
.0445 0483 .0443 4138 .0442 5996 .0441 7874 .0440 9771 .0440 9149 .0440 5417 .0040 3552 .0440 1689 |
2 3 4 6 12 13 ae 52 CO |
p |
5% |
5h% |
6% |
7% |
p |
2 3 4 6 12 13 26 52 CO |
.0493 9015 .0491 8907 .0490 8894 .0489 8908 .0488 8949 .0488 8184 .0488 3597 .0488 1306 .0487 9016 |
.0542 6386 .0540 2139 .0539 0070 .0537 8036 .0536 6039 .0536 5117 .0535 9593 .0535 6834 .0535 4077 |
.0591 2603 .0588 3847 .0586 9538 .0585 5277 .0584 1061 .0583 9969 .0583 3425 .0583 0157 .0582 6891 |
.0688 1609 .0684 2737 .0682 3410 .0680 4156 .0678 4974 .0678 3502 .0677 4676 .0677 0268 .0676 5865 |
2 3 4 6 12 13 26 52 CO |
.')(!
Logarithm of Nominal Rate of Interest j with Frequency of Conversion p Corresponding to Effective Rate of Interest i
TABLE IX. ^^SJ{p)
p |
IVc |
ihVc |
ih% |
1%% |
P |
2 |
7.998 9183 |
8.095 5592 |
8.174 4717 |
8.241 1504 |
2 |
3 |
7.998 5579 |
8.095 1092 |
8.173 9323 |
8.240 5217 |
3 |
4 |
7.998 3778 |
8.094 8843 |
8.173 6627 |
8.240 2075 |
4 |
6 |
7.998 1977 |
8.094 6594 |
8.173 3932 |
8.239 8934 |
6 |
12 |
7.998 0176 |
8.094 4345 |
8.173 1237 |
8.239 5794 |
12 |
13 |
7.998 0037 |
8.094 4172 |
8.173 1029 |
8.239 5552 |
13 |
26 |
7.997 9206 |
8.094 3135 |
8.172 9786 |
8.239 4103 |
26 |
52 |
7.997 8791 |
8.094 2616 |
8.172 9164 |
8.239 3378 |
52 |
cc |
7.997 8375 |
8.094 2097 |
8.172 8542 |
8.239 2654 |
CO |
p |
2% |
2h% |
2h% |
2%% |
p |
2 |
8.298 8746 |
8.349 7600 |
8.395 2508 |
8.436 3772 |
2 |
3 |
8.298 1570 |
8.348 9535 |
8.394 3556 |
8.435 3936 |
3 |
4 |
8.297 7983 |
8.348 5504 |
8.393 9082 |
8.434 9020 |
4 |
6 |
8.297 4397 |
8.348 1474 |
8.393 4610 |
8.434 4107 |
6 |
12 |
8.297 0812 |
8.347 7446 |
8.393 0139 |
8.433 9195 |
12 |
13 |
8:297 0536 |
8.347 7136 |
8.392 9796 |
8.433 8817 |
13 |
26 |
8.296 8882 |
8.347 5277 |
8.392 7733 |
8.433 6550 |
26 |
52 |
8.296 8055 |
8.347 4348 |
8.392 6702 |
8.433 5418 |
52 |
oz |
8.296 7228 |
8.347 3419 |
8.392 5670 |
8.433 4285 |
CO |
p |
3% |
sh% |
4%' |
4^% |
p |
2 |
8.473 9000 |
8.540 3169 |
8.597 7808 |
8.648 4071 |
2 |
3 |
8.472 8281 |
8.539 0689 |
8.596 3575 |
8.646 8093 |
3 |
4 |
8.472 2925 |
8.538 4453 |
8.595 6464 |
8.646 0110 |
4 |
6 |
8.471 7570 |
8.537 8221 |
8.594 9357 |
8.645 2133 |
6 |
12 |
8.471 2219 |
8.537 1991 |
8.594 2254 |
8.644 4160 |
12 |
13 |
8.471 1806 |
8.537 1512 |
8.594 1708 |
8.644 3548 |
13 |
26 |
8.470 9337 |
8.536 8639 |
8.593 8431 |
8.643 9870 |
26 |
52 |
8.470 8103 |
8.536 7201 |
8.593 6793 |
8.643 8031 |
52 |
CC |
8.470 6868 |
8.536 5765 |
8.593 5155 |
8.643 6194 |
CO |
p |
5% |
oH% |
6% |
7% |
p |
2 |
8.693 6404 |
8.734 5107 |
8.771 7787 |
8.837 6900 |
2 |
r^ |
8.691 8686 |
8.732 5658 |
8.769 6614 |
8.835 2298 |
3 |
8.690 9836 |
8.731 5944 |
8.768 6040 |
8.834 0015 |
4 |
|
6 |
8.690 0993 |
8.730 6237 |
8.767 5474 |
8.832 7743 |
6 |
12 |
8.689 2155 |
8.729 6538 |
8.766 4917 |
8.831 5482 |
12 |
13 |
8.689 1475 |
8.729 5792 |
8.766 4105 |
8.831 4540 |
13 |
26 |
8.688 7398 |
8.729 1318 |
8.765 9236 |
8.830 8885 |
26 |
52 |
8.688 5360 |
8.728 9082 |
8.765 6803 |
8.830 6059 |
52 |
.-V-' |
8.688 3323 |
8.728 6846 |
8.7&5 4369 |
8.830 3233 |
>-^^ V-** |
51
Amount at End of Year at Compound Interest of p Installments Each of 1 p Deposited at End of Each pth Part of Year
TABLE X. ^'^ = i'J(p)
p |
1% |
ih% |
ih% 1%% |
P |
|
2 3 4 6 12 13 26 52 CO |
1.0024 9378 1.0033 2596 1.0037 4223 1.0041 5861 1.0045 7510 1.0046 0714 1.0047 9941 1.0048 9556 1.0049 9171 |
1.0031 1529 1.0041 5516 1.0046 7537 1.0051 9575 1.0057 1632 1.0057 5637 1.0059 9669 1.0061 1687 1.0062 3706 |
1 1.0037 3604 1.0049 8346 1.0056 0755 1.0062 3191 1.0068 5652 1.0069 0458 1.0071 9296 1.0073 3717 1.0074 8139 |
1.0043 5603 1.0058 1084 1.0065 3878 1.0072 6707 1.0079 9571 1.0080 5177 1.0083 8820 1.0085 5644 1.0087 2470 |
2 3 4 6 12 13 26 52 |
P |
2% |
2k7c |
2h% |
^^ /C |
P |
2 3 4 6 12 13 26 52 CO |
1.0049 7525 1.0066 3733 1.0074 6906 1.0083 0125 1.0091 3389 1.0091 9796 1.0095 8243 1.0097 7470 1.0099 6700 |
1.0055 9371 1.0074 6292 1.0083 9839 1.0093 3444 1.0102 7107 1.0103 4314 1.0107 7565 1.0109 9195 1.0112 0828 |
1.0062 1142 1.0082 8761 1.0093 2677 1.0103 6665 1.0114 0725 1.0114 8732 1.0119 6786 1.0122 0819 1.0124 4856 |
1.0068 2837 1.0091 1141 1.0102 5422 1.0113 9789 1.0125 4243 1.0126 3051 1.0131 5908 1.0134 2343 1.0136 8783 |
2 3 4 6 12 13 26 52 CO |
p |
3% 3J,9c |
■I'c |
4J^ff P |
||
2 3 4 6 12 13 26 52 CO |
1.0074 4458 1.0099 3431 1.011 1 8072 1.0124 2816 1.0136 7662 1.0137 7270 1.0143 4929 1.0146 3767 1.0149 2610 |
1.0086 7475 1.0115 7748 1.0130 3094 1.0144 8578 1.0159 4203 1.0160 5410 1.0167 2674 1.0170 6316 1.0173 9966 |
1.0099 0195 1.0132 1713 1.0148 7744 1.0165 3957 1.0182 0351 1.0183 3158 1.0191 0023 1.0194 8470 1.0198 6927 |
1.0111 2621 2 1.0148 5328 3 1.0167 2026 4 1.0185 8953 6 1.0204 6109 12 1.0206 0515 13 1.0214 6980 26 1.0219 0231 52 1.0223 3494 OZ |
|
P |
5% |
5J^% |
6% |
7% [ P |
|
2 3 4 6 12 13 26 52 CO |
1.0123 4754 1.0164 8597 1.0185 5942 1.0206 3570 1.0227 1479 1.0228 7484 1.0238 3548 1.0243 1602 1.0247 9672 |
1.0135 6596 1.0181 1522 1.0203 9495 1.0226 7810 1.0249 6465 1.0251 4068 1.0261 9729 1.0267 2586 1.0272 5462 |
1.0147 8151 1.0197 4104 1.0222 2688 1.0247 1676 1.0272 1070 1.0274 0270 1.0285 5526 1.0291 3186 1.0297 0867 |
1.0172 0402 2 1.0229 8254 3 1.0258 8002 4 1.0287 8298 6 1.0316 9143 12 1.0319 1538 13 1.0332 5978 26 1.0339 3242 52 1.0346 0535 CO |
Logarithm of Amount at End of Year at Compound Interest of p Installments Each of 1 p Deposited at End of Eachpth Part of Year
TABLE XL
log s
(p)
p |
1% |
1 J < ' ^4. /O |
1 VC7 A^ /O |
1%% |
P |
z |
.001 0817 |
.001 3509 |
.001 6195 |
.001 8877 |
2 |
3 |
.001 4421 |
.001 8008 |
.002 1589 |
.002 5163 |
3 |
4 |
.001 6222 |
.002 0258 |
.002 4285 |
.002 8305 |
4 |
6 |
.001 8023 |
.002 2506 |
.002 6981 |
.003 1446 |
6 |
12 |
.001 9824 |
.002 4755 |
.002 9676 |
.003 4587 |
12 |
13 |
.001 9963 |
.002 4928 |
.002 9883 |
.003 4828 |
13 |
26 |
.002 0794 |
.002 5966 |
.003 1 127 |
.003 6278 |
26 |
52 |
.002 1209 |
.002 6484 |
.003 1749 |
.003 7002 |
52 |
CO |
.002 1625 |
.002 7003 |
.003 2370 |
.003 7727 |
CO |
P |
2% |
2H% |
2H% |
2%% |
p |
2 |
.002 1554 |
.002 4225 |
.002 6892 |
.002 9554 |
2 |
3 |
.002 8730 |
.003 2291 |
.003 5844 |
.003 9391 |
3 |
4 |
.003 2317 |
.003 6321 |
.004 0318 |
.004 4307 |
4 |
6 |
.003 5903 |
.004 0351 |
.004 4790 |
.004 9220 |
6 |
12 |
.003 9488 |
.004 4379 |
.004 9261 |
.005 4132 |
12 |
13 |
.003 9764 |
.004 4689 |
.004 9604 |
.005 4510 |
13 |
26 |
.004 1418 |
.004 6548 |
.005 1667 |
.005 6776 |
26 |
52 |
.004 2245 |
.004 7477 |
.005 2698 |
.005 7909 |
52 |
CO |
.004 3072 |
.004 8406 |
.005 3730 |
.005 9042 |
CO |
p |
3% |
sh% |
4% |
4^% |
p |
2 |
.003 2212 |
.003 7511 |
.004 2792 |
.004 8054 |
2 |
3 |
.004 2931 |
.004 9991 |
.005 7025 |
.006 4033 |
3 |
4 |
.004 8288 |
.005 6227 |
.006 4136 |
.007 2015 |
4 |
6 |
.005 3642 |
.006 2460 |
.007 1243 |
.007 9992 |
6 |
12 |
.005 8994 |
.006 8689 |
.007 8346 |
.008 7965 |
12 |
13 |
.005 9406 |
.006 9168 |
.007 8892 |
.008 8578 |
13 |
26 |
.006 1875 |
.007 2042 |
.008 2169 |
.009 2255 |
26 |
52 |
.006 3110 |
.007 3479 |
.008 3807 |
.009 4094 |
52 |
CO |
.006 4344 |
.007 4916 |
.008 5445 |
.009 5932 |
CO |
P |
nor o /o |
5^% |
6% |
7% |
p |
2 |
.005 3296 |
.005 8520 |
.006 3725 |
.007 4081 |
2 |
3 |
.007 1014 |
.007 7969 |
.008 4899 |
.009 8682 |
3 |
4 |
.007 9864 |
.008 7683 |
.009 5473 |
.011 0966 |
4 |
6 |
.008 8708 |
.009 7390 |
.010 6038 |
.012 3238 |
6 |
12 |
.009 7545 |
.010 7089 |
.011 6595 |
.013 5498 |
12 |
13 |
.009 8225 |
.010 7835 |
.011 7407 |
.013 6441 |
13 |
26 |
.010 2302 |
.011 2309 |
.012 2276 |
.014 2095 |
26 |
52 |
.010 4340 |
.01 1 4545 |
.012 4710 |
.014 4922 |
52 |
CO |
.010 6377 |
.01 1 6781 |
.012 7144 |
.014 7747 |
CO |
53
Logarithm of Amount of 1 at Compound Interest
TABLE XIL
los (1 + i)"
n |
1% |
ik% |
ih% |
1%% |
n |
1 |
.004 3214 |
.005 3950 |
.006 4660 |
.007 5344 |
1 |
2 |
.008 6427 |
.010 7901 |
.012 9321 |
.015 0688 |
2 |
3 |
.012 9641 |
.016 1851 |
.019 3981 |
.022 6033 |
3 |
4 |
.017 2855 |
.021 5801 |
.025 8642 |
.030 1377 |
4 |
5 |
.021 6069 |
.026 9752 |
.032 3302 |
.037 6721 |
5 |
6 |
.025 9282 |
.032 3702 |
.038 7963 |
.045 2065 |
6 |
7 |
.030 2496 |
.037 7652 |
.045 2623 |
.052 7409 |
7 |
8 |
.034 5710 |
.043 1603 |
.051 7283 |
.060 2753 |
8 |
9 |
.038 8924 |
.048 5553 |
.058 1944 |
.067 8098 |
9 |
10 |
.043 2137 |
.053 9504 |
.064 6604 |
.075 3442 |
10 |
11 |
.047 5350 |
.059 3454 |
.071 1265 |
.082 8786 |
11 |
12 |
.051 8565 |
.064 7404 |
.077 5925 |
.090 4130 |
12 |
13 |
.056 1779 |
.070 1354 |
.084 0585 |
.097 9474 |
13 |
14 |
.060 4992 |
.075 5304 |
.090 5246 |
.105 4819 |
14 |
15 |
.064 8206 |
.080 9255 |
.096 9906 |
.113 0163 |
15 |
16 |
.069 1420 |
.086 3205 |
.103 4567 |
.120 5507 |
16 |
17 |
.073 4634 |
.091 7155 |
.109 9227 |
.128 0851 |
17 |
18 |
.077 7847 |
.097 1106 |
.116 3888 |
.135 6195 |
18 |
19 |
.082 1061 |
.102 5056 |
.122 8548 |
.143 1539 |
19 |
20 |
.086 4275 |
.107 9006 |
.129 3208 |
.150 6884 |
20 |
21 |
.090 7488 |
.113 2957 |
.135 7869 |
.158 2228 |
21 |
22 |
.095 0702 |
.118 6907 |
.142 2529 |
.165 7572 |
22 |
23 |
.099 3916 |
.124 0857 |
.148 7190 |
.173 2916 |
23 |
24 |
.103 7130 |
.129 4808 |
.155 1850 |
.180 8260 |
24 |
25 |
.108 0343 |
.134 8758 |
.161 6511 |
.188 3604 |
25 |
26 |
.112 3557 |
.140 2708 |
.168 1171 |
.195 8949 |
26 |
27 |
.1 16 6771 |
.145 6659 |
.174 5831 |
.203 4293 |
27 |
28 |
.120 9985 |
.151 0609 |
.181 0492 |
.210 9637 |
28 |
29 |
.125 3198 |
.156 4559 |
.187 5152 |
.218 4981 |
29 |
30 |
.129 6412 |
.161 8510 |
.193 9813 |
.226 0325 |
30 |
31 |
.133 9626 |
.167 2460 |
.200 4473 |
.233 5670 |
31 |
32 |
.138 2840 |
.172 6410 |
.206 9134 |
.241.1014 |
32 |
33 |
.142 6053 |
.178 0361 |
.213 3794 |
.248 6358 |
33 |
34 |
.146 9267 |
.183 4311 |
.219 8454 |
.256 1702 |
34 |
35 |
.151 2481 |
.188 8261 |
.226 3115 |
.263 7046 |
35 |
36 |
.155 5695 |
.194 2211 |
.232 7775 |
.271 2390 |
36 |
37 |
.159 8908 |
.199 6162 |
.239 2436 |
.278 7735 |
37 |
38 |
.164 2122 |
.205 0112 |
.245 7096 |
.286 3079 |
38 |
39 |
.168 5336 |
.210 4062 |
.252 1756 |
.293 8423 |
39 |
40 |
.172 8550 |
.215 8013 |
.258 6417 |
.301 3767 |
40 |
41 |
.177 1763 |
.221 1963 |
.265 1077 |
.308 91 1 1 |
41 |
42 |
.181 4977 |
.226 5913 |
.271 5738 |
.316 4456 |
42 |
43 |
.185 8191 |
.231 9864 |
.278 0398 |
.323 9800 |
43 |
44 |
.190 1404 |
.237 3814 |
.284 5059 |
.331 5144 |
44 |
45 |
.194 4618 |
.242 7764 |
.290 9719 |
.339 0488 |
45 |
46 |
.198 7832 |
.248 1715 |
.297 4379 |
.346 5832 |
46 |
47 |
.203 1046 |
.253 5665 |
.303 9040 |
.354 1 176 |
47 |
48 |
.207 4259 |
.258 9615 |
.310 3700 |
.361 6521 |
48 |
49 |
.211 7473 |
.264 3566 |
.316 8361 |
.369 1865 |
49 |
50 |
.216 0687 |
.269 7516 |
.323 3021 |
.376 7209 |
50 |
54
Logarithm of Amount of 1 at Compound Interest
TABLE XIL |
log (1+i)" |
||||
n |
1% |
ih7c |
1 1 ( - i-2 ,C |
1%% |
n |
51 |
.220 3901 |
.275 1466 |
.329 7682 |
.384 2553 |
51 |
52 |
.224 71 14 |
.280 5417 |
.336 2342 |
.391 7897 |
52 |
53 |
.229 0328 |
.285 9367 |
.342 7002 |
.399 3241 1 |
53 |
54, |
.233 3542 |
.291 3317 |
.349 1663 |
.406 8586 |
54 |
55 |
.237 6756 |
.296 7268 |
.355 6323 |
.414 3930 |
55 |
56 |
.241 9969 |
.302 1218 |
.362 0984 |
.421 9274 |
56 |
57 |
.246 3183 |
.307 5168 |
.368 5644 |
.429 4618 |
57 |
58 |
.250 6397 |
.312 9118 |
.375 0304 |
.436 9962 ' |
58 |
59 |
.254 961 1 |
.318 3069 |
.381 4965 |
.444 5307 |
59 |
60 |
.259 2824 |
.323 7019 |
.387 9625 |
.452 0651 |
60 |
61 |
.263 6038 |
.329 0969 |
.394 4286 |
.459 5995 |
61 |
62 |
.267 9252 |
.334 4920 |
.400 8946 |
.467 1339 |
62 |
63 |
.272 2465 |
.339 8870 |
.407 3607 |
.474 6683 |
63 |
64 |
.276 5679 |
.345 2820 |
.413 8267 |
.482 2027 |
64 |
65 |
.280 8893 |
.350 6771 |
.420 2927 |
.489 7372 |
65 |
66 |
.285 2107 |
.356 0721 |
.426 7588 |
.497 2716 |
66 |
67 |
.289 5320 |
.361 4671 |
.433 2248 |
.504 8060 |
67 |
68 |
.293 8534 |
.366 8622 |
.439 6909 |
.512 3404 |
68 |
69 |
.298 1748 |
.372 2572 |
.446 1569 |
.519 8748 |
69 |
70 |
.302 4962 |
.377 6522 |
.452 6230 |
.527 4093 |
70 |
71 |
.306 8175 |
.383 0473 |
.459 0890 |
.534 9437 |
71 |
72 |
.311 1389 |
.388 4423 |
.465 5550 |
.542 4781 |
72 |
73 |
.315 4603 |
.393 8373 |
.472 0211 |
.550 0125 |
73 |
74 |
.319 7817 |
.399 2324 |
.478 4871 |
.557 5469 |
74 |
75 |
.324 1030 |
.404 6274 |
.484 9532 |
.565 0813 |
75 |
76 |
.328 4244 |
.410 0224 |
.491 4192 |
.572 6158 |
76 |
77 |
.332 7458 |
.415 4175 |
.497 8852 |
.580 1502 |
77 |
78 |
.337 0672 |
.420 8125 |
.504 3513 |
.587 6846 |
78 |
79 |
.341 3887 |
.426 2075 |
.510 8173 |
.595 2190 |
79 |
80 |
.345 7099 |
.431 6026 |
.517 2834 |
.602 7534 |
80 |
81 |
.350 0313 |
.436 9976 |
.523 7494 |
.610 2878 |
81 |
82 |
.354 3527 |
.442 3926 |
.530 2155 |
.617 8223 |
82 |
83 |
.358 6740 |
.447 7876 |
.536 6815 |
.625 3567 |
83 |
84 |
.362 9954 |
.453 1827 |
.543 1475 |
.632 8911 |
84 |
85 |
.367 3168 |
.458 5777 |
.549 6136 |
.640 4255 |
85 |
86 |
.371 6381 |
.463 9727 |
.556 0796 |
.647 9599 |
86 |
87 |
.375 9595 |
.469 3678 |
.562 5457 |
.655 4944 |
87 |
88 |
.380 2809 |
.474 7628 |
.569 01 17 |
.663 0288 |
88 |
89 |
.384 6023 |
.480 1578 |
.575 4778 |
.670 5632 |
89 |
90 |
.388 9237 |
.485 5529 |
.581 9438 |
.678 0976 |
90 |
91 |
.393 2450 |
.490 9479 |
.588 4098 |
.685 6320 |
91 |
92 |
.397 5664 |
.496 3429 |
.594 8759 |
.693 1664 |
92 |
93 |
.401 8878 |
.501 7380 |
.601 3419 |
.700 7009 |
93 |
94 |
.406 2091 |
.507 1330 |
.607 8080 |
.708 2353 |
94 |
95 |
.410 5305 |
.512 5280 |
.614 2740 |
.715 7697 |
95 |
96 |
.414 8519 |
.517 9231 |
.620 7401 |
.723 3041 |
96 |
97 |
.419 1733 |
.523 3181 |
.627 2061 |
.730 8385 |
97 |
98 |
.423 4946 |
.528 7131 |
.633 6721 |
.738 3730 |
98 |
99 |
.427 8160 |
.534 1082 |
.640 1382 |
.745 9074 |
99 |
100 |
.432 1374 |
.539 5032 |
.646 6042 |
.753 4418 |
100 |
DO
Logarithm of Amount of 1 at Compound Interest TABLE XII. log (1 + i)"
n |
2% |
2h% |
2%% |
n |
|
1 |
.008 6002 |
.009 6633 |
.010 7239 |
.011 7818 |
1 |
2 |
.017 2003 |
.019 3266 |
.021 4477 |
.023 5637 |
2 |
3 |
.025 8005 |
.028 9900 |
.032 1716 |
.035 3455 |
3 |
4 |
.034 4007 |
.038 6533 |
.042 8955 |
.047 1273 |
4 |
5 |
.043 0009 |
.048 3166 |
.053 6193 |
.058 9092 |
5 |
6 |
.051 6010 |
.057 9799 |
.064 3432 |
.070 6910 |
6 |
7 |
.060 2012 |
.067 6432 |
.075 0671 |
.082 4728 |
7 |
8 |
.068 8014 |
.077 3065 |
.085 7909 |
.094 2546 |
8 |
9 |
.077 4015 |
.086 9699 |
.096 5148 |
.106 0365 |
9 |
10 |
.086 0017 |
.096 6332 |
-.107 2387 |
.117 8183 |
10 |
11 |
.094 6019 |
.106 2965 |
.117 9625 |
.129 6001 |
11 |
12 |
.103 2021 |
.115 9598 |
.128 6864 |
.141 3820 |
12 |
13 |
.111 8022 |
.125 6231 |
.139 4103 |
.153 1638 |
13 |
14 |
.120 4024 |
.135 2864 |
.150 1341 |
.164 9456 |
14 |
15 |
.129 0026 |
.144 9498 |
.160 8580 |
.176 7275 |
15 |
16 |
.137 6027 |
.154 6131 |
.171 5818 |
.188 5093 |
16 |
17 |
.146 2029 |
.164 2764 |
.182 3057 |
.200 2911 |
17 |
18 |
.154 8031 |
.173 9397 |
.193 0296 |
.212 0729 |
18 |
19 |
.163 4033 |
.183 6030 |
.203 7534 |
.223 8548 |
19 |
20 |
.172 0034 |
.193 2663 |
.214 4773 |
.235 6366 |
20 |
21 |
.180 6036 |
.202 9297 |
.225 2012 |
.247 4184 |
21 |
22 |
.189 2038 |
.212 5930 |
.235 9250 |
.259 2003 |
22 |
23 |
.197 8040 |
.222 2563 |
.246 6489 |
.270 9821 |
23 |
24 |
.206 4041 |
.231 9196 |
.257 3728 |
.282 7639 |
24 |
25 |
.215 0043 |
.241 5829 |
.268 0966 |
.294 5458 |
25 |
26 |
.223 6045 |
.251 2462 |
.278 8205 |
.306 3276 |
26 |
27 |
.232 2046 |
.260 9096 |
.289 5444 |
.318 1094 |
27 |
28 |
.240 8048 |
.270 5729 |
.300 2682 |
.329 8913 |
28 |
29 |
.249 4050 |
.280 2362 |
.310 9921 |
.341 6731 |
29 |
30 |
.258 0052 |
.289 8995 |
.321 7160 |
.353 4549 |
30 |
31 |
.266 6053 |
.299 5628 |
.332 4398 |
.365 2367 |
31 |
32 |
.275 2055 |
.309 2261 |
.343 1637 |
.377 0186 |
32 |
33 |
.283 8057 |
.318 8894 |
.353 8876 |
.388 8004 |
33 |
34 |
.292 4058 |
.328 5528 |
.364 61 14 |
.400 5822 |
34 |
35 |
.301 0060 |
.338 2161 |
.375 3353 |
.412 3641 |
35 |
36 |
.309 6062 |
.347 8794 |
.386 0592 |
.424 1459 |
36 |
37 |
.318 2064 |
.357 5427 |
.396 7830 |
.435 9277 |
37 |
38 |
.326 8065 |
.367 2060 |
.407 5069 |
.447 7096 |
38 |
39 |
.335 4067 |
.376 8694 |
.418 2308 |
.459 4914 |
39 |
40 |
.344 0069 |
.386 5327 |
.428 9546 |
.471 2732 |
40 |
41 |
.352 6070 |
.396 1960 |
.439 6785 |
.483 0551 |
41 |
42 |
.361 2072 |
.405 8593 |
.450 4023 |
.494 8369 |
42 |
43 |
.369 8074 |
.415 5226 |
.461 1262 |
.506 6187 |
43 |
44 |
.378 4076 |
.425 1859 |
.471 8501 |
.518 4005 |
44 |
45 |
.387 0077 |
.434 8493 |
.482 5739 |
.530 1824 |
45 |
46 |
.395 6079 |
.444 5126 |
.493 2978 |
.541 9642 |
46 |
47 |
.404 2081 |
.454 1759 |
.504 0217 |
.553 7460 |
47 |
48 |
.412 8082 |
.463 8392 |
.514 7455 |
.565 5279 |
48 |
49 |
.421 4084 |
.473 5025 |
.525 4694 |
.577 3097 |
49 |
50 |
.430 0086 |
.483 1658 |
.536 1933 |
.589 0915 |
50 |
56
Logarithm of Amount of 1 at Comi>ound Interest
TABLE XII.
log (1 + i)"
n |
2% |
Ol, ( - |
■^-^ /C |
•^<4 /c |
n |
51 |
.438 6088 |
.492 8292 |
.546 9171 |
.600 8734 |
51 |
52 |
.447 2089 |
.502 4925 |
.557 6410 |
.612 6552 |
52 |
53 |
.455 8091 |
.512 1558 |
.568 3649 |
.624 4370 |
53 |
54 |
.464 4093 |
.521 8191 |
.579 0887 |
.636 2188 |
54 |
55 |
.473 0094 |
.531 4824 |
.589 8126 |
.648 0007 |
55 |
56 |
.481 6096 |
.541 1457 |
.600 5365 |
.659 7825 |
56 |
57 |
.490 2098 |
.550 8091 |
.611 2603 |
.671 5643 |
57 |
58 |
.498 8100 |
.560 4724 |
.621 9842 |
.683 3462 |
58 |
59 |
.507 4101 |
.570 1357 |
.632 7081 |
.695 1280 |
59 |
60 |
.516 0103 |
.579 7990 |
.643 4319 |
.706 9098 |
60 |
61 |
.524 6105 |
.589 4623 |
.654 1558 |
.718 6917 |
61 |
62 |
.533 2107 |
.599 1256 |
.664 8797 |
.730 4735 |
62 |
63 |
.541 8108 |
.608 7890 |
.675 6035 |
.742 2553 |
63 |
64 |
.550 4110 |
.618 4523 |
.686 3274 |
.754 0372 |
64 |
65 |
.559 01 12 |
.628 1156 |
.697 0513 |
.765 8190 |
65 |
66 |
.567 61 13 |
.637 7789 |
.707 7751 |
.777 6008 |
66 |
67 |
.576 2115 |
.647 4422 |
.718 4990 |
.789 3826 |
67 |
68 |
.584 8117 |
.657 1055 |
.729 2228 |
.801 1645 |
68 |
69 |
.593 41 19 |
.666 7689 |
.739 9467 |
.812 9463 |
69 |
70 |
.602 0120 |
.676 4322 |
.750 6706 |
.824 7281 |
70 |
71 |
.610 6122 |
.686 0955 |
.761 3944 |
.836 5100 |
71 |
72 |
.619 2124 |
.695 7588 |
.772 1 183 |
.848 2918 |
72 |
73 |
.627 8125 |
.705 4221 |
.782 8422 |
.860 0736 |
73 |
74 |
.636 4127 |
.715 0854 |
.793 5660 |
.871 8555 |
74 |
75 |
.645 0129 |
.724 7488 |
.804 2899 |
.883 6373 |
75 |
76 |
.653 6131 |
.734 4121 |
.815 0138 |
.895 4191 |
76 |
77 |
.662 2132 |
.744 0754 |
.825 7376 |
.907 2009 |
77 |
78 |
.670 8134 |
.753 7387 |
.836 4615 |
.918 9828 |
78 |
79 |
.679 4136 |
.763 4020 |
.847 1854 |
.930 7646 |
79 |
80 |
.688 0137 |
.773 0653 |
.857 9092 |
.942 5464 |
80 |
81 |
.696 6139 |
.782 7287 |
.868 6331 |
.954 3283 |
81 |
82 |
.705 2141 |
.792 3920 |
.879 3570 |
.966 1101 |
82 |
83 |
.713 8143 |
.802 0553 |
.890 0808 |
.977 8919 |
83 |
84 |
.722 4144 |
.811 7186 |
.900 8047 |
.989 6738 |
84 |
85 |
.731 0146 |
.821 3819 |
.911 5286 |
1.001 4556 |
85 |
86 |
.739 6148 |
.831 0452 |
.922 2524 |
1.013 2374 |
86 |
87 |
.748 2149 |
.840 7086 |
.932 9763 |
1.025 0193 |
87 |
88 |
.756 8151 |
.850 3719 |
.943 7002 |
1.036 8011 |
88 |
89 |
.765 4153 |
.860 0352 |
.954 4240 |
1.048 5829 |
89 |
90 |
.774 0155 |
.869 6985 |
.965 1479 |
1.060 3647 |
90 |
91 |
.782 6156 |
.879 3618 |
.975 8718 |
1.072 1466 |
91 |
92 |
.791 2158 |
.889 0251 |
.986 5956 |
1.083 9284 |
92 |
93 |
.799 8160 |
.898 6885 |
.997 3195 |
1.095 7102 |
93 |
94 |
.808 4161 |
.908 3518 |
1.008 0433 |
1.107 4921 |
94 |
95 |
.817 0163 |
.918 0151 |
1.018 7672 |
1.1 19 2739 |
95 |
96 |
.825 6165 |
.927 6784 |
1.029 491 1 |
1.131 0557 |
96 |
97 |
.834 2167 |
.937 3417 |
1.040 2149 |
1.142 8376 |
97 |
98 |
.842 8168 |
.947 0050 |
1.050 9388 |
1.154 6194 |
98 |
99 |
.851 4170 |
.956 6684 |
1.061 6627 |
1.166 4012 |
99 |
100 |
.860 0172 |
.966 3317 |
1.072 3865 |
1.178 1831 |
100 |
Logarithm of Aniovint of 1 at Compound Interest TABLE XII. los (1 + i)"
n |
3% |
sh% |
4% |
4^% |
n |
1 |
.012 8372 |
.014 9403 |
.017 0333 |
.019 1163 |
1 |
2 |
.025 6744 |
.029 8807 |
.034 0667 |
.038 2326 |
2 |
3 |
.038 5117 |
.044 8210 |
.051 1000 |
.057 3489 |
3 |
4 |
.051 3489 |
.059 7614 |
.068 1334 |
.076 4652 |
4 |
5 |
.064 1861 |
.074 7017 |
.085 1667 |
.095 5815 |
5 |
6 |
.077 0233 |
.089 6421 |
.102 2000 |
.114 6977 |
6 |
7 |
.089 8606 |
.104 5824 |
.119 2334 |
.133 8140 |
7 |
8 |
.102 6978 |
.119 5228 |
.136 2667 |
.152 9303 |
8 |
9 |
.115 5350 |
.134 4631 |
.153 3001 |
.172 0466 |
9 |
10 |
.128 3722 |
.149 4035 |
.170 3334 |
.191 1629 |
10 |
11 |
.141 2095 |
.164 3438 |
.187 3667 |
.210 2792 |
11 |
12 |
.154 0467 |
.179 2842 |
.204 4001 |
.229 3955 |
12 |
13 |
.166 8839 |
.194 2245 |
.221 4334 |
.248 5118 |
13 |
14 |
.179 7211 |
.209 1649 |
.238 4668 |
.267 6281 |
14 |
15 |
.192 5584 |
.224 1052 |
.255 5001 |
.286 7444 |
15 |
16 |
.205 3956 |
.239 0456 |
.272 5334 |
.305 8606 |
16 |
17 |
.218 2328 |
.253 9859 |
.289 5668 |
.324 9769 |
17 |
18 |
.231 0700 |
.268 9263 |
.306 6001 |
.344 0932 |
18 |
19 |
.243 9073 |
.283 8666 |
.323 6334 |
.363 2095 |
19 |
20 |
.256 7445 |
.298 8070 |
.340 6668 |
.382 3258 |
20 |
21 |
.269 5817 |
.313 7473 |
.357 7001 |
.401 4421 |
21 |
22 |
.282 4189 |
.328 6877 |
.374 7335 |
.420 5584 |
22 |
23 |
.295 2562 |
.343 6280 |
.391 7668 |
.439 6747 |
23 |
24 |
.308 0934 |
.358 5684 |
.408 8001 |
.458 7910 |
24 |
25 |
.320 9306 |
.373 5087 |
.425 8335 |
.477 9073 |
25 |
26 |
.333 7678 |
.388 4491 |
.442 8668 |
.497 0236 |
26 |
27 |
.346 6051 |
.403 3894 |
.459 9002 |
.516 1398 |
27 |
28 |
.359 4423 |
.418 3298 |
.476 9335 |
.535 2561 |
28 |
29 |
.372 2795 |
.433 2701 |
.493 9668 |
.554 3724 |
29 |
30 |
.385 1167 |
.448 2105 |
.511 0002 |
.573 4887 |
30 |
31 |
.397 9540 |
.463 1508 |
.528 0335 |
.592 6050 |
31 |
32 |
.410 7912 |
.478 0912 |
.545 0669 |
.611 7213 |
32 |
33 |
.423 6284 |
.493 0315 |
.562 1002 |
.630 8376 |
33 |
34 |
.436 4656 |
.507 9719 |
.579 1335 |
.649 9539 |
34 |
35 |
.449 3029 |
.522 9122 |
.596 1669 |
.669 0702 |
35 |
36 |
.462 1401 |
.537 8526 |
.613 2002 |
.688 1865 |
36 |
37 |
.474 9773 |
.552 7929 |
.630 2336 |
.707 3027 |
37 |
38 |
.487 8145 |
.567 7333 |
.647 2669 |
.726 4190 |
38 |
39 |
.500 6518 |
.582 6736 |
.664 3002 |
.745 5353 |
39 |
40 |
.513 4890 |
.597 6140 |
.681 3336 |
.764 6516 |
40 |
41 |
.526 3262 |
.612 5543 |
.698 3669 |
.783 7679 |
41 |
42 |
.539 1634 |
.627 4947 |
.715 4003 |
.802 8842 |
42 |
43 |
.552 0007 |
.642 4350 |
.732 4336 |
.822 0005 |
43 |
44 |
.564 8379 |
.657 3754 |
.749 4669 |
.841 1168 |
44 |
45 |
.577 6751 |
.672 3157 |
.766 5003 |
.860 2331 |
45 |
46 |
.590 5123 |
.687 2561 |
.783 5336 |
.879 3494 |
46 |
47 |
.603 3496 |
.702 1964 |
.800 5669 |
.898 4656 |
47 |
48 |
.616 1868 |
.717 1368 |
.817 6003 |
.917 5819 |
48 |
49 |
.629 0240 |
.732 0771 |
.834 6336 |
.936 6982 |
49 |
50 |
.641 8612 |
.747 0175 |
.851 6670* |
.955 8145 |
50 |
58
Logarithm of Amount of 1 per Annum at Compound Interest TABLE XII. log (1+i)"
n |
3% |
4% |
■ih% |
n |
|
51 |
.654 6985 |
.761 9578 |
.868 7003 |
.974 9308 |
51 |
52 |
.667 5357 |
.776 8982 |
.885 7336 |
.994 0471 |
52 |
53 |
.680 3729 |
.791 8385 |
.902 7670 |
1.013 1634 |
53 |
54 |
.693 2101 |
.806 7789 |
.919 8003 |
1.032 2797 |
54 |
55 |
.706 0474 |
.821 7192 |
.936 8337 |
1.051 3960 |
55 |
56 |
.718 8846 |
.836 6596 |
.953 8670 |
1.070 5123 |
56 |
57 |
.731 7218 |
.851 5999 |
.970 9003 |
1.089 6286 |
57 |
58 |
.744 5590 |
.866 5403 |
.987 9337 |
1.108 7448 |
58 |
59 |
.757 3963 |
.881 4806 |
1.004 9670 |
1.127 8611 |
59 |
60 |
.770 2335 |
.896 4210 |
1.022 0004 |
1.146 9774 |
60 |
61 |
.783 0707 |
.911 3613 |
1.039 0337 |
1.166 0937 |
61 |
62 |
.795 9079 |
.926 3017 |
1.056 0670 |
1.185 2100 |
62 |
63 |
.808 7452 |
.941 2420 |
1.073 1004 |
1.204 3263 |
63 |
64 |
.821 5824 |
.956 1824 |
1.090 1337 |
1.223 4426 |
64 |
65 |
.834 4196 |
.971 1227 |
1.107 1671 |
1.242 5589 |
65 |
66 |
.847 2568 |
.986 0631 |
1.124 2004 |
1.261 6752 |
66 |
67 |
.860 0941 |
1.001 0034 |
1.141 2337 |
1.280 7915 |
67 |
68 |
.872 9313 |
1.015 9438 |
1.158 2671 |
1.299 9077 |
68 |
69 |
.885 7685 |
1.030 8841 |
1.175 3004 |
1.319 0240 |
69 |
70 |
.898 6057 |
1.045 8245 |
1.192 3338 |
1.338 1403 |
70 |
71 |
.911 4430 |
1.060 7648 |
1.209 3671 |
1.357 2566 |
71 |
72 |
.924 2802 |
1.075 7052 |
1.226 4004 |
1.376 3729 |
72 |
73 |
.937 1 174 |
1.090 6455 |
1.243 4338 |
1.395 4892 |
73 |
74 |
.949 9546 |
1.105 5859 |
1.260 4671 |
1.414 6055 |
74 |
75 |
.962 7919 |
1.120 5262 |
1.277 5004 |
1.433 7218 |
75 |
76 |
.975 6291 |
1.135 4666 |
1.294 5338 |
1.452 8381 |
76 |
77 |
.988 4663 |
1.150 4069 |
1.311 5671 |
1.471 9544 |
77 |
78 |
1.001 3035 |
1.165 3473 |
1.328 6005 |
1.491 0707 |
78 |
79 |
1.014 1408 |
1.180 2876 |
1.345 6338 |
1.510 1869 |
79 |
80 |
1.026 9780 |
1.195 2280 |
1.362 6671 |
1.529 3032 |
80 |
81 |
.039 8152 |
1.210 1683 |
1.379 7005 |
1.548 4195 |
81 |
82 |
1.052 6524 |
1.225 1087 |
1.396 7338 |
1.567 5358 |
82 |
83 |
1.065 4897 |
1.240 0490 |
1.413 7672 |
1.586 6521 |
83 |
84 |
1.078 3269 |
1.254 9894 |
1.430 8005 |
1.605 7684 |
84 |
85 |
1.091 1641 |
1.269 9297 |
1.447 8338 |
1.624 8847 |
85 |
86 |
1.104 0013 |
1.284 8701 |
1.464 8672 |
1.644 0010 |
86 |
87 |
1.116 8385 |
1.299 8104 |
1.481 9005 |
1.663 1173 |
87 |
88 |
1.129 6758 |
1.314 7508 |
1.498 9339 |
1.682 2336 |
88 |
89 |
1.142 5130 |
1.329 6911 |
1.515 9672 |
1.701 3498 |
89 |
90 |
1.155 3502 |
1.344 6315 |
1.533 0005 |
1.720 4661 |
90 |
91 |
1.168 1874 |
1.359 5718 |
1.550 0339 |
1.739 5824 |
91 |
92 |
1.181 0247 |
1.374 5122 |
1.567 0672 |
1.758 6987 |
92 |
93 |
1.193 8619 |
1.389 4525 |
1.584 1006 |
1.777 8150 |
93 |
94 |
1.206 6991 |
1.404 3929 |
1.601 1339 |
1.796 9313 |
94 |
95 |
1.219 5363 |
1.419 3332 |
1.618 1672 |
1.816 0476 |
95 |
96 |
1.232 3736 |
1.434 2736 |
1.635 2006 |
1.835 1639 |
96 |
97 |
1.245 2108 |
1.449 2139 |
1.652 2339 |
1.854 2802 |
97 |
98 |
1.258 0480 |
1.464 1543 |
1.669 2673 |
1.873 3965 |
98 |
99 |
1.270 8852 |
1.479 0946 |
1.686 3006 |
1.892 5127 |
99 |
100 |
1.283 7225 |
1.494 0350 |
1.703 3339 |
1.911 6290 |
100 |
59
Logarithm of Amount of 1 at Compound Interest TABLE XII. log (1 + f)'
n |
! 5% |
5h% |
6% |
7% |
n |
1 |
.021 1893 |
.023 2525 |
.025 3059 |
1 .029 3838 |
1 |
2 |
.042 3786 |
.046 5049 |
.050 6117 |
.058 7676 |
2 |
3 |
.063 5679 |
.069 7574 |
.075 9176 |
.088 1513 |
3 |
4 |
.084 7572 |
.093 0098 |
.101 2235 |
.117 5351 |
4 |
5 |
.105 9465 |
.116 2623 |
.126 5293 |
.146 9189 |
5 |
6 |
.127 1358 |
.139 5148 |
.151 8352 |
.176 3027 |
6 |
7 |
.148 3251 |
.162 7672 |
.177 1411 |
.205 6864 |
7 |
8 |
.169 5144 |
.186 0197 |
.202 4469 |
.235 0702 |
8 |
9 |
.190 7037 |
.209 2721 |
.227 7528 |
.264 4540 |
9 |
10 |
.211 8930 |
.232 5246 |
.253 0587 |
.293 8378 |
10 |
11 |
.233 0823 |
.255 7771 |
.278 3645 |
.323 2216 |
11 |
12 |
.254 2716 |
.279 0295 |
.303 6704 |
.352 6053 |
12 |
13 |
.275 4609 |
.302 2820 |
.328 9762 |
.381 9891 |
13 |
14 |
.296 6502 |
.325 5344 |
.354 2821 |
.411 3729 |
14 |
15 |
.317 8395 |
.348 7869 |
.379 5880 |
.440 7567 |
15 |
16 |
.339 0288 |
.372 0394 |
.404 8938 |
.470 1404 |
16 |
17 |
.360 2181 |
.395 2918 |
.430 1997 |
.499 5242 |
17 |
18 |
.381 4074 |
.418 5443 |
.455 5056 |
.528 9080 |
18 |
19 |
.402 5967 |
.441 7967 |
.480 8114 |
.558 2918 |
19 |
20 |
.423 7860 |
.465 0492 |
.506 1173 |
.587 6756 |
20 |
21 |
.444 9753 |
.488 3017 |
.531 4232 |
.617 0593 |
21 |
22 |
.466 1646 |
.511 5541 |
.556 7290 |
.646 4431 |
22 |
23 |
.487 3539 |
.534 8066 |
.582 0349 |
.675 8269 |
23 |
24 |
.508 5432 |
.558 0590 |
.607 3408 |
.705 2107 |
24 |
25 |
.529 7325 |
.581 3115 |
.632 6466 |
.734 5944 |
25 |
26 |
.550 9218 |
.604 5639 |
.657 9525 |
.763 9782 |
26 |
27 |
.572 1111 |
.627 8164 |
.683 2584 |
.793 3620 |
27 |
28 |
.593 3004 |
.651 0689 |
.708 5642 |
.822 7458 |
28 |
29 |
.614 4897 |
.674 3213 |
.733 8701 |
.852 1296 |
29 |
30 |
.635 6790 |
.697 5738 |
.759 1760 |
.881 5133 |
30 |
31 |
.656 8683 |
.720 8262 |
.784 4818 |
.910 8971 |
31 |
32 |
.678 0576 |
.744 0787 |
.809 7877 |
.940 2809 |
32 |
33 |
.699 2469 |
.767 3312 |
.835 0936 |
.969 6647 |
33 |
34 |
.720 4362 |
.790 5836 |
.860 3994 |
.999 0484 |
34 |
35 |
.741 6255 |
.813 8361 |
.885 7053 |
1.028 4322 |
35 |
36 |
.762 8148 |
.837 0885 |
.911 0112 |
1.057 8160 |
36 |
37 |
.784 0041 |
.860 3410 |
.936 3170 |
1.087 1998 |
37 |
38 |
.805 1934 |
.883 5935 |
.961 6229 |
1.116 5836 |
38 |
39 |
.826 3827 |
.906 8459 |
.986 9287 |
1.145 9673 |
39 |
40 |
.847 5720 |
.930 0984 |
1.012 2346 |
1.175 3511 |
40 |
41 |
.868 7613 |
.953 3508 |
1 1.037 5405 |
1.204 7349 |
41 |
42 |
.889 9506 |
.976 6033 |
1.062 8463 |
1.234 1187 |
42 |
43 |
.911 1399 |
.999 8558 |
1.088 1522 |
1.263 5024 |
43 |
44 |
.932 3292 |
1.023 1082 |
1.113 4581 |
1.292 8862 |
44 |
45 |
.953 5185 |
1.046 3607 |
1.138 7639 |
1.322 2700 |
45 |
46 |
.974 7078 |
1.069 6131 |
1.164 0698 |
1.351 6538 |
46 |
47 |
.995 8971 |
1.092 8656 |
1.189 3757 |
1.381 0376 |
47 |
48 |
1.017 0864 |
1.116 1181 |
1.214 6815 |
1.410 4213 |
48 |
49 |
1.038 2757 |
1.139 3705 |
1.239 9874 |
1.439 8051 |
49 |
50 |
1.059 4650 |
1.162 6230 |
1.265 2933 |
1.469 1889 |
50 |
60
Logarithm of Amount of 1 at Compound Interest
TABLE XII.
log (l + i)"
n |
5% |
oh7o |
6% |
-'} |
n |
51 |
1.080 6543 |
1.185 8754 |
1.290 5991 |
1.498 5727 |
51 |
52 |
1.101 8436 |
1.209 1279 |
1.315 9050 |
1.527 9564 |
52 |
53 |
1.123 0329 |
1.232 3804 |
1.341 2109 |
1.557 3402 |
53 |
54 |
1.144 2222 |
1.255 6328 |
1.366 5167 |
1.586 7240 |
54 |
55 |
1.165 41 15 |
1.278 8853 |
1.391 8226 |
1.616 1078 |
55 |
56 |
1.186 6007 |
1.302 1377 |
1.417 1285 |
1.645 4916 |
56 |
57 |
1.207 7900 |
1.325 3902 |
1.442 4343 |
1.674 8753 |
57 |
58 |
1.228 9793 |
1.348 6427 |
1.467 7402 |
1.704 2591 |
58 |
59 |
1.250 1686 |
1.371 8951 |
1.493 0461 |
1.733 6429 |
59 |
60 |
1.271 3579 |
1.395 1476 |
1.518 3519 |
1.763 0267 |
60 |
61 |
1.292 5472 |
1.418 4000 |
1.543 6578 |
1.792 4104 |
61 |
62 |
1.313 7365 |
1.441 6525 |
1.568 9636 |
1.821 7942 |
62 |
63 |
1.334 9258 |
1.464 9050 |
1.594 2695 |
1.851 1780 |
63 |
64 |
1.356 1 151 |
1.488 1574 |
1.619 5754 |
1.880 5618 |
64 |
65 |
1.377 3044 |
1.51 1 4099 |
1.644 8812 |
1.909 9456 |
65 |
66 |
1.398 4937 |
1.534 6623 |
1.670 1871 |
1.939 3293 |
66 |
67 |
1.419 6830 |
1.557 9148 |
1.695 4930 |
1.698 7131 |
67 |
68 |
1.440 8723 |
1.581 1673 |
1.720 7988 |
1.998 0969 |
68 |
69 |
1.462 0616 |
1.604 4197 |
1.746 1047 |
2.027 4807 |
69 |
70 |
1.483 2509 |
1.627 6722 |
1.771 4106 |
2.056 8644 |
70 |
71 |
1.504 4402 |
1.650 9246 |
1.796 7164 |
2.086 2482 |
71 |
72 |
1.525 6295 |
1.674 1771 |
1.822 0223 |
2.1 15 6320 |
72 |
73 |
1.546 8188 |
1.697 4296 |
1.847 3282 |
2.145 0158 |
73 |
74 |
1.568 0081 |
1.720 6820 |
1.872 6340 |
2.174 3995 |
74 |
75 |
t.589 1974 |
1.743 9345 |
1.897 9399 |
2.203 7833 |
75 |
76 |
1.610 3867 |
1.767 1869 |
1.923 2458 |
2.233 1671 |
76 |
77 |
1.631 5760 |
1.790 4394 |
1.948 5516 |
2.262 5509 |
77 |
78 |
1.652 7653 |
1.813 6918 |
1.973 8575 |
2.291 9347 |
78 |
79 |
1.673 9546 |
1.836 9443 |
1.999 1634 |
2.321 3184 |
79 |
80 |
1.695 1439 |
1.860 1968 |
2.024 4692 |
2.350 7022 |
80 |
81 |
1.716 3332 |
1.883 4492 |
2.049 7751 |
2.380 0860 |
81 |
82 |
1.737 5225 |
1.906 7017 |
2.075 0810 |
2.409 4698 |
82 |
83 |
1.758 7118 |
1.929 9541 |
2.100 3868 |
2.438 8535 |
83 |
84 |
1.779 901 1 |
1.953 2066 |
2.125 6927 |
2.468 2373 |
84 |
85 |
1.801 0904 |
1.976 4591 |
2.150 9986 |
2.497 621 1 |
85 |
86 |
1.822 2797 |
1.999 71 15 |
2.176 3044 |
2.527 0049 |
86 |
87 |
1.843 4690 |
2.022 9640 |
2.201 6103 |
2.556 3887 |
87 |
88 |
1.864 6583 |
2.046 2164 |
2.226 9161 |
2.585 7724 |
88 |
89 |
1.885 8476 |
2.069 4689 |
2.252 2220 |
2.615 1562 |
89 |
90 |
1.907 0369 |
2.092 7214 |
2.277 5279 |
2.644 5400 |
90 |
91 |
1.928 2262 |
2.1 15 9738 |
2.302 8337 |
2.673 9238 |
91 |
92 |
1.949 4155 |
2.139 2263 |
2.328 1396 |
2.703 3075 |
92 |
93 |
1.970 6048 |
2.162 4787 |
2.353 4455 |
2.732 6913 |
93 |
94 |
1.991 7941 |
2.185 7312 |
2.378 7513 |
2.762 0751 |
94 |
95 |
2.012 9834 |
2.208 9837 |
2.404 0572 |
2.791 4589 |
95 |
96 |
2.034 1727 |
2.232 2361 |
2.429 3631 |
2.820 8427 |
96 |
97 |
2.055 3620 |
2.255 4886 |
2.454 6689 |
2.850 2264 |
97 |
98 |
2.076 5513 |
2.278 7410 |
2.479 9748 |
2.879 61C2 |
98 |
99 : |
2.097 7406 |
2.301 9935 |
2.505 2807 \ |
2.908 9940 |
99 |
100 |
2.118 9299 |
2.325 2460 |
2.530 5865 I |
2.938 3778 |
100 |
61
Logarithm of Amount of 1 per Annum at Compound Interest
TABLE XIIL
log s-
n |
1% |
ih% |
ih% |
13^ CT" |
n |
1 |
.000 0000 |
.000 0000 |
.000 0000 |
.000 0000 |
1 |
2 |
.303 1961 |
.303 7359 |
.304 2751 |
.304 8135 |
2 |
3 |
.481 4570 |
.482 5386 |
.483 6194 ' |
.484 6993 |
3 |
4 |
.608 5689 |
.610 1944 |
.61 1 8193 |
.613 4433 |
4 |
5 |
.707 6557 |
.709 8270 |
.711 9983 |
.714 1695 |
5 |
6 |
.789 0173 |
.791 7365 |
.794 4568 |
.797 1779 |
6 |
7 |
.858 1481 |
.861 4171 |
.864 6887 |
.867 9627 |
7 |
8 |
.918 3277 |
.922 1484 |
.925 9738 |
.929 8036 |
8 |
9 |
.971 6713 |
.976 0460 |
.980 4275 |
.984 8157 |
9 |
10 |
1.019 6234 |
1.024 5542 |
1.029 4943 I |
1.034 4439 |
10 |
11 |
1.063 2145 |
1.068 7029 |
1.074 2041 |
1.079 7182 |
11 |
12 |
1.103 2049 |
1.109 2531 |
1.115 3179 |
1.121 3991 |
12 |
13 |
1.140 1725 |
1.146 7827 |
1.153 4133 |
1.160 0644 |
13 |
14 |
1.174 5662 |
1.181 7401 |
1.188 9392 |
1.196 1633 |
14 |
15 |
1.206 7422 |
1.214 4819 |
1.222 2517 |
1.230 0515 |
15 |
16 |
1.236 9870 |
1.245 2944 |
1.253 6377 |
1.262 0160 |
16 |
17 |
1.265 5356 |
1.274 4130 |
1.283 3319 |
1.292 2917 |
17 |
18 |
1.292 5827 |
1.302 0318 |
1.311 5288 |
1.321 0728 |
18 |
19 |
1.318 2908 |
1.328 3137 |
1.338 3910 |
1.348 5222 |
19 |
20 |
1.342 7976 |
1.353 3964 |
1.364 0567 |
1.374 7779 |
20 |
21 |
1.366 2209 |
1.377 3976 |
1.388 6432 |
1.399 9572 |
21 |
22 |
1.388 6622 |
1.400 4184 |
1.412 2518 |
1.424 1615 |
22 |
23 |
1.410 2084 |
1.422 5466 |
1.434 9702 |
1.447 4783 |
23 |
24 |
1.430 9367 |
1.443 8585 |
1.456 8748 |
1.469 9841 |
24 |
25 |
1.450 9138 |
1.464 4214 |
1.478 0326 |
1.491 7462 |
25 |
26 |
1.470 1991 |
1.484 2945 |
1.498 5031 |
1.512 8237 |
26 |
27 |
1.488 8451 |
1.503 5301 |
1.518 3387 |
1.533 2689 |
27 |
28 |
1.506 8985 |
1.522 1752 |
1.537 5859 |
1.553 1287 |
28 |
29 |
1.524 4012 |
1.540 2716 |
1.556 2868 |
1.572 4451 |
29 |
30 |
1.541 3906 |
1.557 8567 |
1.574 4790 |
1.591 2556 |
30 |
31 |
1.557 9008 |
1.574 9646 |
1.592 1964 |
1.609 5939 |
31 |
32 |
1.573 9626 |
1.591 6259 |
1.609 4694 |
1.627 4908 |
32 |
33 |
1.589 6035 |
1.607 8683 |
1.626 3261 |
1.644 9741 |
33 |
34 |
1.604 8489 |
1.623 7174 |
1.642 7918 |
1.662 0692 |
34 |
35 |
1.619 7222 |
1.639 1962 |
1.658 8895 |
1.678 7990 |
35 |
36 |
1.634 2442 |
1.654 3258 |
1.674 6404 |
1.695 1850 |
36 |
37 |
1.648 4346 |
1.669 1256 |
1.690 0641 |
1.711 2464 |
37 |
38 |
1.662 3112 |
1.683 6137 |
1.705 1782 |
1.727 0011 |
38 |
39 |
1.675 8905 |
1.697 8065 |
1.719 9995 |
1.742 4656 |
39 |
40 |
1.689 1878 |
1.711 7192 |
1.734 5430 |
1.757 6552 |
40 |
41 |
1.702 2171 |
1.725 3657 |
1.748 8228 |
1.772 5837 |
41 |
42 |
1.714 9915 |
1.738 7594 |
! 1.762 8521 |
1.787 2646 |
42 |
43 |
1.727 5232 |
1.751 9124 |
: 1.776 6430 |
1.801 7097 |
43 |
44 |
1.739 8235 |
1.764 8359 |
1.790 2068 |
1.815 9306 |
44 |
45 |
1.751 9029 |
1.777 5405 |
1.803 5541 |
1.829 9376 |
45 |
46 |
1.763 7714 |
1.790 0361 |
1.816 6947 |
1.843 7407 |
46 |
47 |
1.775 4381 |
1.802 3320 |
1.829 6378 |
1.857 3490 |
47 |
48 |
1.786 91 18 |
1.814 4366 |
1.842 3922 |
1.870 7712 |
48 |
49 |
1.798 2004 |
1.826 3582 |
1.854 9658 |
1.884 0154 |
49 |
50 |
1.809 3117 |
1.838 1043 |
1.867 3663 |
1.897 0893 |
50 |
62
Logarithm of Amount of 1 per Annum at Compound Interest
TABLE XIII.
log s
^
n |
1% |
1 i-f'^ |
1 1 r - A 2 ,0 |
1 a^cf ^4, /O |
n |
51 |
1.820 2527 |
1.849 6823 |
1.879 6008 |
1.909 9997 |
51 |
52 |
1.831 0303 |
1.861 0987 |
1.891 6761 i |
1.922 7538 |
52 |
53 |
1.841 6508 |
1.872 3599 |
1.903 5987 |
1.935 3576 |
53 |
54 |
1.852 1203 |
1.883 4719 |
1.915 3743 |
1.947 8173 |
54 |
55 |
1.862 4442 |
1.894 4404 |
1.927 0088 |
1.960 1384 |
55 |
56 |
1.872 6280 |
1.905 2708 |
1.938 5074 |
1.972 3263 |
56 |
57 |
1.882 6770 |
1.915 9681 |
1.949 8752 |
1.984 3862 |
57 |
58 |
1.892 5957 |
1.926 5372 |
1.961 1172 |
1.996 3227 |
58 |
59 |
1.902 3888 1 |
1.936 9827 |
1.972 2377 |
2.008 1405 |
59 |
60 |
1.912 0608 |
1.947 3087 |
1.983 2412 |
2.019 8438 |
60 |
61 |
1.921 6156 |
1.957 5196 |
1.994 1317 |
2.031 4367 |
61 |
62 |
1.931 0570 |
1.967 6191 |
2.004 9130 |
2.042 9234 |
62 |
63 |
1.940 3892 |
1.977 61 11 |
2.015 5894 |
2.054 3073 |
63 |
64 |
1.949 6153 |
1.987 4990 |
2.026 1637 |
2.065 5920 |
64 |
65 |
1.058 7389 |
1.997 2864 |
2.036 6400 |
2.076 7809 |
65 |
66 |
1.967 7632 |
2.006 9762 |
2.047 0208 |
2.087 8773 |
66 |
67 |
1.976 6914 |
2.016 5720 |
2.057 3096 |
2.098 8841 |
67 |
68 |
1.985 5262 |
2.026 0762 |
2.067 5094 |
2.109 8045 |
68 |
69 |
1.994 2706 |
2.035 4921 |
2.077 6229 |
2.120 6410 |
69 |
70 |
2.002 9272 |
2.044 8218 |
2.087 6529 |
2.131 3966 |
70 |
71 |
2.011 4990 |
2.054 0685 |
2.097 6015 |
2.142 7033 |
71 |
72 |
2.019 9877 |
2.063 2342 |
2.107 4718 |
2.152 6744 |
72 |
73 |
2.028 3964 |
2.072 3216 |
2.117 2659 |
2.163 2016 |
73 |
74 |
2.036 7270 |
2.081 3329 |
2.126 9858 |
2.173 6573 |
74 |
75 |
2.044 9818 |
2.090 2704 |
2.136 6343 |
2.184 0440 |
75 |
76 |
2.053 1629 |
2.099 1358 |
2.146 2130 |
2.194 3633 |
76 |
77 |
2.061 2722 |
2.107 9313 |
2.155 7240 |
2.204 6174 |
77 |
78 |
2.069 3117 |
2.116 6591 |
2.165 1692 |
2.214 8083 |
78 |
79 |
2.077 2836 |
2.125 3208 |
2.174 5505 |
2.224 9376 |
79 |
80 |
2.085 1888 |
2.133 9180 |
2.183 8700 |
2.235 0075 |
80 |
81 |
2.093 0300 |
2.142 4529 |
2.193 1287 |
2.245 0193 |
81 |
82 |
2.100 8084 |
2.150 9267 |
2.202 3289 |
2.254 9749 |
82 |
83 |
2.108 5257 |
2.159 3415 |
2.211 4721 |
2.264 8758 |
83 |
84 |
2.1 16 1835 |
2.167 6983 |
2.220 5594 |
2.274 7234 |
84 |
85 |
2.123 7830 |
2.175 9991 |
2.229 5928 |
2.284 5194 |
85 |
86 |
2.131 3260 |
2.184 2449 |
2.238 5735 |
2.294 2649 |
86 |
87 |
2.138 8137 |
2.192 4372 |
2.247 5028 |
2.303 9616 |
87 |
88 |
2.146 2474 |
2.200 5774 |
2.256 3822 |
2.313 6106 |
88 |
89 |
2.153 6286 |
2.208 6670 |
2.265 2127 |
2.323 2132 |
89 |
90 |
2.160 9584 |
2.216 7068 |
2.273 9958 |
2.332 7707 |
90 |
91 |
2.168 2378 |
2.224 6982 |
2.282 7326 |
2.342 2845 |
91 |
92 |
2.175 4683 |
2.232 6426 |
2.291 4246 |
2.351 7553 |
92 |
93 |
2.182 651 1 |
2.240 5407 |
2.300 0724 |
2.361 1844 |
93 |
94 |
2.189 7869 |
2.248 3941 |
2.308 6772 |
2.370 5730 |
94 |
95 |
2.196 8771 |
2.256 2033 |
2.317 2401 |
2.379 9219 |
95 |
96 |
2.203 9226 |
2.263 9698 |
2.325 7623 |
2.389 2323 |
96 |
97 |
2.210 9244 |
2.271 6943 |
2.334 2445 |
2.398 5051 |
97 |
98 |
2.217 8833 |
2.279 3778 |
2.342 6881 |
2.407 7413 |
98 |
99 |
2.224 8005 |
2.287 0213 |
2.351 0935 |
2.416 9417 |
99 |
100 |
2.231 6769 |
2.294 6255 |
2.359 4617 |
2.426 1073 |
100 |
63
Logarithm of Amount of 1 per Annum at Compound Interest
i
TABLE XIII.
log S—.
^ Til
n |
2% |
^^ /O |
^^ /O |
2% re |
n |
1 |
.000 0000 |
.000 0000 |
.000 0000 |
.000 0000 |
1 |
2 |
.305 3514 |
.305 8885 |
.306 4250 |
.306 9609 |
2 |
3 |
.485 7782 |
.486 8563 |
.487 9334 |
.489 0096 |
3 |
4 |
.615 0666 |
.616 6893 |
.618 3112 |
.619 9325 |
4 |
5 |
.716 3407 |
.718 51 16 |
.720 6825 |
.722 8532 |
5 |
6 |
.799 9000 |
.802 6230 |
.805 3470 |
.808 0718 |
6 |
7 |
.871 2391 |
.874 5179 |
.877 7991 |
.881 0826 |
7 |
8 |
.933 6376 |
.937 4759 |
.941 3184 |
.945 1651 |
8 |
9 |
.989 2107 |
.993 6123 |
.998 0203 |
1.002 4348 |
9 |
10 |
1.039 4030 |
1.044 3715 |
1.049 3491 |
1.054 3359 |
10 |
1 1 |
1.085 2447 |
1.090 7838 |
1.096 3352 |
1.101 8988 |
11 |
12 |
1.127 4964 |
1.133 6099 |
1.139 7391 |
1.145 8840 |
12 |
13 |
1.166 7359 |
1.173 4273 |
1.180 1386 |
1.186 8694 |
13 |
14 |
1.203 4120 |
1.210 6852 |
1.217 9825 |
1.225 3038 |
14 |
15 |
1.237 8808 |
1.245 7394 |
1.253 6269 |
1.261 5431 |
15 |
16 |
1.270 4292 |
1.278 8770 |
1.287 3588 |
1.295 8744 |
16 |
17 |
1.301 2920 |
1.310 3325 |
1.319 4128 |
1.328 5323 |
17 |
18 |
1.330 6635 |
1.340 3006 |
1.349 9833 |
1.359 7112 |
18 |
19 |
1.358 7067 |
1.368 9439 |
1.379 2331 |
1.389 5739 |
19 |
20 |
1.385 5593 |
1.396 4002 |
1.407 3001 |
1.418 2582 |
20 |
21 |
1.411 3388 |
1.422 7873 |
1.434 3018 |
1.445 8816 |
21 |
22 |
1.436 1465 |
1.448 2061 |
1.460 3393 |
1.472 5454 |
22 |
23 |
1.460 0699 |
1.472 7443 |
1.485 5004 |
1.498 3370 |
23 |
24 |
1.483 1858 |
1.496 4786 |
1.509 8614 |
1.523 3331 |
24 |
25 |
1.505 5610 |
1.519 47S3 |
1.533 4894 |
1.547 6005 |
25 |
26 |
1.527 2548 |
1.541 7953 |
1.556 4437 |
1.571 1986 |
26 |
27 |
1.548 3197 |
1.563 4895 |
1.578 7767 |
1.594 1798 |
27 |
28 |
1.568 8024 |
1.584 6051 |
1.600 5351 |
1.616 5907 |
28 |
29 |
1.588 7448 |
1.605 1840 |
1.621 7608 |
1.638 4733 |
29 |
30 |
1.608 1844 |
1.625 2637 |
1.642 4913 |
1.659 8650 |
30 |
31 |
1.627 1552 |
1.644 8781 |
1.662 7604 |
1.680 7996 |
31 |
32 |
1.645 6878 |
1.664 0580 |
1.682 5988 |
1.701 3078 |
32 |
33 |
1.663 8099 |
1.682 8308 |
1.702 0343 |
1.721 4173 |
33 |
34 |
1.681 5470 |
1.701 2223 |
1.721 0921 |
1.741 1534 |
34 |
35 |
1.698 9221 |
1.719 2552 |
1.739 7954 |
1.760 5392 |
35 |
36 |
1.715 9563 |
1.736 9510 |
1.758 1653 |
1.779 5959 |
36 |
37 |
1.732 6692 |
1.754 3287 |
1.776 2212 |
1.798 3426 |
37 |
38 |
1.749 0785 |
1.771 4065 |
1.793 9810 |
1.816 7975 |
38 |
39 |
1.765 2008 |
1.788 2007 |
1.811 4610 |
1.834 9767 |
39 |
40 |
1.781 0512 |
1.804 7266 |
1.828 6763 |
1.852 8954 |
40 |
41 |
1.796 6439 |
1.820 9981 |
1.845 6413 |
1.870 5679 |
41 |
42 |
1.81 1 9918 |
1.837 0285 |
1.862 3688 |
1.888 0070 |
42 |
43 |
1.827 1072 |
1.852 8296 |
1.878 8710 |
1.905 2247 |
43 |
44 |
1.842 0014 |
1.868 4131 |
1.895 1590 |
1.922 2325 |
44 |
45 |
1.856 6849 |
1.883 7892 |
1.91 1 2436 |
1.939 0407 |
45 |
46 |
1.871 1674 |
1.898 9678 |
1.927 1344 |
1.955 6591 |
46 |
47 |
1.885 4583 |
1.913 9582 |
1.942 8405 |
1.972 0969 |
47 |
48 |
1.899 5662 |
1.928 7689 |
1.958 3707 |
1.988 3627 |
48 |
49 |
1.913 4991 |
1.943 4080 |
1.973 7330 |
2.004 4645 |
49 |
50 |
1.927 2646 |
1.957 8831 |
1.988 9349 |
2.020 4098 |
50 |
61
Logarithm of Amount of 1 per Annum at Compound Interest
TABLE XIIL |
* |
logs-^ |
|||
n |
2^ |
2%% |
2h% |
2%% |
n |
51 |
1.940 8699 |
1.972 2013 |
2.003 9836 |
2.036 2055 |
51 |
52 |
1.954 3216 |
1.986 3693 |
2.018 8855 |
2.051 8588 |
52 |
53 |
1.967 6262 |
2.000 3935 |
2.033 6473 |
2.067 3755 |
53 |
54 |
1.980 7897 |
2.014 2798 |
2.048 2747 |
2.082 7617 |
54 |
55 |
1.993 8175 |
2.028 0337 1 |
2.062 7734 |
2.098 0228 |
55 |
56 |
2.006 7153 |
2.041 6607 |
2.077 1487 |
2.113 1642 |
56 |
57 |
2.019 4877 |
2.055 1657 |
2.091 4055 |
2.128 1910 |
57 |
58 |
2.032 1399 |
2.068 5539 |
2.105 5487 |
2.143 1081 |
58 |
59 |
2.044 6761 |
2.081 8292 |
2.119 5828 |
2.157 9195 |
59 |
60 |
2.057 1012 |
2.094 9962 |
2.133 5121 |
2.172 6294 |
60 |
61 |
2.069 4186 |
2.108 0594 |
2.147 3405 |
2.187 2425 |
61 |
62 |
2.081 6324 |
2.121 0217 |
2.161 0720 |
2.201 7622 |
62 |
63 |
2.093 7466 |
2.133 8877 |
2.174 7100 |
2.216 1920 |
63 |
64 |
2.105 7645 |
2.146 6603 |
2.188 2583 |
2.230 5355 |
64 |
65 |
2.1 17 6894 |
2.159 3433 |
2.201 7201 |
2.244 7960 |
65 |
66 |
2.129 5246 |
2.171 9397 |
2.215 0987 |
2.258 9766 |
66 |
67 |
2.141 2731 |
2.184 4523 |
2.228 3970 |
2.273 0805 |
67 |
68 |
2.152 9377 |
2.196 8843 |
2.241 6177 |
2.287 1 103 |
68 |
69 |
2.164 5217 |
2.209 2386 |
2.254 7640 |
2.301 0688 |
69 |
70 |
2.176 0272 |
2.221 5175 |
2.267 8381 |
2.314 9587 |
70 |
71 |
2.187 4572 |
2.233 7238 |
2.280 8427 |
2.328 7825 |
71 |
72 |
2.198 8137 |
2.245 8597 |
2.293 7803 |
2.342 5422 |
72 |
73 |
2.210 0995 |
2.257 9278 |
2.306 6531 |
2.356 2406 |
73 |
74 |
2.221 3164 |
2.269 9299 |
2.319 4631 |
2.369 8796 |
74 |
75 |
2.232 4669 |
2.281 8688 |
2.332 2127 |
2.383 4611 |
75 |
76 |
2.243 5529 |
2.293 7458 |
2.344 9038 |
2.396 9875 |
76 |
77 |
2.254 5765 |
2.305 5634 |
2.357 5385 |
2.410 4603 |
77 |
78 |
2.265 5394 |
2.317 3233 |
2.370 1 183 |
2.423 8818 |
78 |
79 |
2.276 4436 |
2.329 0273 |
2.382 6455 |
2.437 2533 |
79 |
80 |
2.287 2909 |
2.340 6772 |
2.395 1213 |
2.450 5768 |
80 |
81 |
2.298 0829 |
2.352 2745 |
2.407 5477 |
2.463 8537 |
81 |
82 |
2.308 8212 |
2.363 8211 |
2.419 9261 |
2.477 0857 |
82 |
83 |
2.319 5074 |
2.375 3183 |
2.432 2581 |
2.490 2743 |
83 |
84 |
2.330 1429 |
2.386 7678 |
2.444 5453 |
2.503 4208 |
84 |
85 |
2.340 7294 |
2.398 1708 |
2.456 7888 |
2.516 5268 |
85 |
86 |
2.351 2681 |
2.409 5289 |
2.468 9901 |
2.529 5934 |
86 |
87 |
2.361 7606 |
2.420 8433 |
2.481 1507 |
2.542 6220 |
87 |
88 |
2.372 2079 |
2.432 1153 |
2.493 2716 |
2.555 6138 |
88 |
89 |
2.382 6114 |
2.443 3462 |
2.505 3541 |
2.568 5700 |
89 |
90 |
2.392 9723 |
2.454 5370 |
2.517 3995 |
2.581 4917 |
90 |
91 |
2.403 2917 |
2.465 6893 |
2.529 4086 |
2.594 3801 |
91 |
92 |
2.413 5710 |
2.476 8037 |
2.541 3828 |
2.607 2361 |
92 |
93 |
2.423 8109 |
2.487 8815 |
2.553 3231 |
2.620 0608 |
93 |
94 |
2.434 0127 ■ |
2.498 9237 |
2.565 2303 |
2.632 8552 |
84 |
95 |
2.444 1776 |
2.509 9314 |
2.577 1058 |
2.645 6203 |
95 |
96 |
2.454 3061 |
2.520 9055 |
2.588 9500 |
2.658 3569 |
96 |
97 |
2.464 3995 |
2.531 8470 |
2.600 7642 |
2.671 0660 |
97 |
98 |
2.474 4586 |
2.542 7567 |
2.612 5493 |
2.683 7484 |
98 |
99 |
2.484 4844 |
2.553 6355 |
2.624 3059 |
2.696 4047 |
99 |
100 |
2.494 4777 1 |
2.564 4843 |
2.636 0350 |
2.709 0361 |
100 |
Logarithm of Amount of 1 Per Annum at Compound Interest TABLE XI I L '«^ ^Tl
n |
3% |
sh% |
4Sc |
^h7o |
n |
1 |
.000 0000 |
.000 0000 |
.000 0000 |
.000 0000 |
1 |
2 |
.307 4960 |
.308 5644 |
.309 6302 |
.310 6933 |
2 |
3 |
.490 0850 |
.492 2329 |
.494 3773 |
.496 5180 |
3 |
4 |
.621 5530 |
.624 7917 |
.628 0274 |
.631 2602 |
4 |
5 |
.725 0238 |
.729 3645 |
.733 7045 |
.738 0437 |
5 |
6 |
.810 7976 |
.816 2513 |
.821 7084 |
.827 1684 |
6 |
7 |
.884 3683 |
.890 9465 |
.897 5333 |
.904 1284 |
7 |
8 |
.949 0159 |
.956 7296 |
.964 4588 |
.972 2034 |
8 |
9 |
1.006 8555 |
1.015 7158 |
1.024 6004 |
1.033 5088 |
9 |
10 |
1.059 3316 |
1.069 3496 |
1.079 4022 |
1.089 4886 |
10 |
11 |
1.107 4744 |
1.118 6612 |
1.129 8945 |
1.141 1731 |
11 |
12 |
1.152 0445 |
1.164 4112 |
1.176 8378 |
1.189 3227 |
12 |
13 |
1.193 6196 |
1.207 1772 |
1.220 8097 |
1.234 5151 |
13 |
14 |
1.232 6486 |
1.247 4083 |
1.262 2591 |
1.277 1990 |
14 |
15 |
1.269 4876 |
1.285 4601 |
1.301 5419 |
1.317 7302 |
15 |
16 |
1.304 4233 |
1.321 6197 |
1.338 9450 |
1.356 3956 |
16 |
17 |
1.337 6906 |
1.356 1218 |
1.374 7028 |
1.393 4296 |
17 |
18 |
1.369 4837 |
1.389 1606 |
1.409 0097 |
1.429 0265 |
18 |
19 |
1.399 9655 |
1.420 8990 |
1.442 0285 |
1.463 3488 |
19 |
20 |
1.429 2737 |
1.451 4745 |
1.473 8966 |
1.496 5342 |
20 |
21 |
1.457 5259 |
1.481 0048 |
1.504 7318 |
1.528 7000 |
21 |
22 |
1.484 8233 |
1.509 5910 |
1.534 6348 |
1.559 9470 |
22 |
23 |
1.511 2533 |
1.537 3205 |
1.563 6933 |
1.590 3628 |
23 |
24 |
1.536 8925 |
1.564 2698 |
1.591 9835 |
1.620 0235 |
24 |
25 |
1.561 8079 |
1.590 5059 |
1.619 5723 |
1.648 9960 |
25 |
26 |
1.586 0587 |
1.616 0878 |
1.646 5189 |
1.677 3391 |
26 |
27 |
1.609 6972 |
1.641 0680 |
1.672 8754 |
1.705 1050 |
27 |
28 |
1.632 7702 |
1.665 4931 |
1.698 6883 |
1.732 3402 |
28 |
29 |
1.655 3195 |
1.689 4047 |
1.723 9995 |
1.759 0861 |
29 |
30 |
1.677 3826 |
1.712 8405 |
1.748 8462 |
1.785 3802 |
30 |
31 |
1.698 9934 |
1.735 8342 |
1.773 2621 |
1.811 2558 |
31 |
32 |
1.720 1821 |
1.758 4160 |
1.797 2777 |
1.836 7433 |
32 |
33 |
1.740 9769 |
1.780 6141 |
1.820 9205 |
1.861 8702 |
33 |
34 |
1.761 4029 |
1.802 4532 |
1.844 2155 |
1.886 6613 |
34 |
35 |
1.781 4831 |
1.823 9566 |
1.867 1858 |
1.911 1396 |
35 |
36 |
1.801 2386 |
1.845 1452 |
1.889 8523 |
1.935 3257 |
36 |
37 |
1.820 6888 |
1.866 0383 |
1.912 2340 |
1.959 2387 |
37 |
38 |
1.839 8515 |
1.886 6537 |
1.934 3486 |
1.982 8960 |
38 |
39 |
1.858 7431 |
1.907 0076 |
1.956 2124 |
2.006 3138 |
39 |
40 |
1.877 3786 |
1.927 1150 |
1.977 8402 |
2.029 5068 |
40 |
41 |
1.895 7721 |
1.946 9900 |
1.999 2460 |
2.052 4889 |
41 |
42 |
1.913 9366 |
1.966 6455 |
2.020 4425 |
2.075 2724 |
42 |
43 |
1.931 8843 |
1.986 0935 |
2.041 4416 |
2.097 8692 |
43 |
44 |
1.949 6262 |
2.005 3449 |
2.062 2543 |
2.120 2903 |
44 |
45 |
1.967 1727 |
2.024 4104 |
2.082 8908 |
2.142 5458 |
45 |
46 |
1.984 5339 |
2.043 2994 |
2.103 3608 |
2.164 6449 |
46 |
47 |
2.001 7186 |
2.062 0213 |
2.123 6732 |
2.186 5965 |
47 |
48 |
2.018 7354 |
2.080 5841 |
2.143 8364 |
2.208 4089 |
48 |
49 |
2.035 5924 |
2.098 9960 |
2.163 8580 |
2.230 0895 |
49 |
50 |
2.052 2970 |
2.117 2644 |
2.183 7454 |
2.251 6456 |
50 |
66
Logarithm of Amount of 1 Per Annum at Compound Interest TABLE XIII. '''^ *iii
n |
3^^c |
■ih'c |
V:c |
iH7c |
n |
51 |
2.068 8564 |
2.135 3960 |
2.203 5055 |
2.273 0839 |
51 |
52 |
2.085 2770 |
2.153 3977 |
2.223 1445 |
2.294 4106 |
52 |
53 |
2.101 5652 |
2.171 2755 |
2.242 6688 |
2.315 6315 |
53 |
54 |
2.117 7269 |
2.189 0355 |
2.262 0840 |
2.336 7526 |
54 |
55 |
2.133 7676 |
2.206 6826 |
2.281 3951 |
2.357 7786 |
55 |
56 |
2.149 6925 |
2.224 2222 |
2.300 6074 |
2.378 7145 |
56 |
57 |
2.165 5066 |
2.241 6592 |
2.319 7259 |
2.399 5648 |
57 |
58 |
2.181 2145 |
2.258 9984 |
2.338 7546 |
2.420 3342 |
58 |
59 |
2.196 8210 |
2.276 2439 |
2.357 6980 |
2.441 0264 |
59 |
60 |
2.212 3298 |
2.293 3999 |
2.376 5599 |
2.461 6456 |
60 |
61 |
2.227 7453 |
2.310 4702 |
2.395 3444 |
2.482 1950 |
61 |
62 |
2.243 0713 |
2.327 4586 |
2.414 0548 |
2.502 6783 |
62 |
63 |
2.258 3110 |
2.344 3686 |
2.432 6948 |
2.523 0988 |
63 |
64 |
2.273 4682 |
2.361 2037 |
2.451 2673 |
2.543 4594 |
64 |
65 |
2.288 5461 |
2.377 9668 |
2.469 7754 |
2.563 7631 |
65 |
66 |
2.303 5474 |
2.394 6611 |
2.488 2222 |
2.584 0127 |
66 |
67 |
2.318 4757 |
2.411 2893 |
2.506 6103 |
2.604 2107 |
67 |
68 |
2.333 3335 |
2.427 8541 |
2.524 9422 |
2.624 3596 |
68 |
69 |
2.348 1235 |
2.444 3583 |
2.543 2206 |
2.644 4618 |
69 |
70 |
2.362 8482 |
2.460 8045 |
2.561 4478 |
2.664 5195 |
70 |
71 |
2.377 5100 |
2.477 1946 |
2.579 6260 |
2.684 5346 |
71 |
72 |
2.392 1114 |
2.493 5312 |
2.597 7572 |
2.704 5093 |
72 |
73 |
2.406 6548 |
2.509 8163 |
2.615 8436 |
2.724 4455 |
73 |
74 |
2.241 1419 |
2.526 0519 |
2.633 8872 |
2.744 3449 |
74 |
75 |
2.435 5750 |
2.542 2402 |
2.651 8896 |
2.764 2093 |
75 |
76 |
2.449 9560 |
2.558 3828 |
2.669 8527 |
2.784 0402 |
76 |
77 |
2.464 2869 |
2.574 4816 |
2.687 7783 |
2.803 8393 |
77 |
78 |
2.478 5693 |
2.590 5383 |
2.705 6677 |
2.823 6079 |
78 |
79 |
2.492 8052 |
2.606 5544 |
2.723 5227 |
2.843 3476 |
79 |
80 |
2.506 9958 |
2.622 5319 |
2.741 3446 |
2.863 0596 |
80 |
81 |
2.521 1432 |
2.638 4718 |
2.759 1349 |
2.882 7452 |
81 |
82 |
2.535 2485 |
2.654 3757 |
2.776 8947 |
2.902 4055 |
82 |
83 |
2.549 3134 |
2.670 2451 |
2.794 6254 |
2.922 0418 |
83 |
84 |
2.563 3392 |
2.686 0810 |
2.812 3284 |
2.941 6551 |
84 |
85 |
2.577 3274 |
2.701 8850 |
2.830 0045 1 |
2.961 2465 |
85 |
86 |
2.591 2791 |
2.717 6582 |
1 2.847 6550 |
2.980 8169 |
86 |
87 |
2.605 1955 |
2.733 4016 |
2.865 2811 |
3.000 3674 |
87 |
88 |
2.619 0781 |
2.749 1 166 |
2.882 8835 |
3.019 8987 |
88 |
89 |
2.632 9277 |
2.764 8040 |
2.900 4634 |
3.039 41 18 |
89 |
90 |
2.646 7456 |
2.780 4649 |
2.918 0215 |
3.058 9075 |
90 |
91 |
2.660 5329 |
2.796 1003 |
2.935 5589 |
3.078 3865 |
91 |
92 |
2.674 2904 |
2.81 1 71 12 |
2.953 0764 |
3.097 8497 |
92 |
93 |
2.688 0193 |
2.827 2984 |
2.970 5747 |
3.1 17 2975 |
93 |
94 |
2.701 7205 |
2.842 8628 |
2.988 0547 |
3.136 7310 |
94 |
95 |
2.715 3948 |
2.858 4052 |
3.005 5171 |
3.156 1505 |
95 |
96 |
2.729 0433 |
2.873 9265 |
3.022 9625 |
3.175 5567 |
96 |
97 |
2.742 6668 |
2.889 4276 |
3.040 3918 |
3.194 9503 |
97 |
98 |
2.756 2659 |
2.904 9088 |
3.057 8055 |
3.214 3319 |
98 |
99 |
2.769 8415 |
2.920 3712 |
3.075 2042 |
3.233 7018 |
99 |
100 |
2.783 3944 |
2.935 8153 |
3.092 5886 |
3.253 0606 |
100 |
Logarithm of Amount of 1 Per Annum at Compound Interest TABLE XIII. ^f>B s--.
n |
5% |
5h7o |
6% |
nor « /o |
n |
1 |
.000 0000 |
.000 0000 |
.000 0000 |
.000 0000 |
1 |
2 |
.311 7539 |
.312 81 18 |
.313 8672 |
.315 9703 |
2 |
3 |
.498 6551 |
.500 7886 |
.502 9185 |
.507 1675 |
3 |
4 |
.634 4898 |
.637 7164 |
.640 9399 |
.647 3774 |
4 |
5 |
.742 3819 |
.746 7191 |
.751 0552 |
.759 7236 |
5 |
6 |
.832 6310 |
.838 0963 |
.843 5640 |
.854 5058 |
6 |
7 |
.910 7316 |
.917 3424 |
.923 9606 |
.937 2180 |
7 |
8 |
.979 9628 |
.987 7365 |
.995 5241 |
1.011 1390 |
8 |
9 |
1.042 4402 |
1.051 3941 |
1.060 3697 |
1.078 3839 |
9 |
10 |
1.099 6079 |
1.109 7592 |
1.119 9416 |
1.140 3964 |
10 |
11 |
1.152 4959 |
1.163 8617 |
1.175 2694 |
1.198 2061 |
11 |
12 |
1.201 8647 |
1.214 4621 |
1.227 1136 |
1.252 5728 |
12 |
13 |
1.248 2917 |
1.262 1377 |
1.276 0512 |
1.304 0733 |
13 |
14 |
1.292 2258 |
1.307 3371 |
1.322 5308 |
1.353 1559 |
14 |
15 |
1.334 0226 |
1.350 4160 |
1.366 9077 |
1.400 1756 |
15 |
16 |
1.373 9687 |
1.391 6608 |
1.409 4686 |
1.445 4182 |
16 |
17 |
1.412 2959 |
1.431 3059 |
1.450 4475 |
1.489 1175 |
17 |
18 |
1.449 2065 |
1.469 5452 |
1.490 0379 |
1.531 4665 |
18 |
19 |
1.484 8549 |
1.506 5412 |
1.528 4023 |
1.572 6273 |
19 |
20 |
1.519 3811 |
1.542 4310 |
1.565 6778 |
1.612 7361 |
20 |
21 |
1.552 9024 |
1.577 3318 |
1.601 9810 |
1.651 9094 |
21 |
22 |
1.585 5195 |
1.611 3442 |
1.637 4126 |
1.690 2470 |
22 |
23 |
1.617 3199 |
1.644 5552 |
1.672 0593 |
1.727 8351 |
23 |
24 |
1.648 3795 |
1.677 0409 |
1.705 9969 |
1.764 7489 |
24 |
25 |
1.678 7650 |
1.708 8676 |
1.739 2915 |
1.801 0539 |
25 |
26 |
1.708 5353 |
1.740 0939 |
1.772 0016 |
1.836 8080 |
26 |
27 |
1.737 7421 |
1.770 7718 |
1.804 1787 |
1.872 0620 |
27 |
28 |
1.766 4321 |
1.800 9473 |
1.835 8688 |
1.906 861 1 |
28 |
29 |
1.794 6464 |
1.830 6615 |
1.867 1126 |
1.941 2456 |
29 |
30 |
1.822 4221 |
1.859 9514 |
1.897 9468 |
1.975 2515 |
30 |
31 |
1.849 7927 |
1.888 8500 |
1.928 4045 |
2.008 9111 |
31 |
32 |
1.876 7882 |
1.917 3873 |
1.958 5150 |
2.042 2531 |
32 |
33 |
1.903 4361 |
1.945 5905 |
1.988 3054 |
2.075 3039 |
33 |
34 |
1.929 7609 |
1.973 4841 |
2.017 8000 |
2.108 0870 |
34 |
35 |
1.955 7854 |
2.001 0903 |
2.047 0207 |
2.140 6239 |
35 |
36 |
1.981 5302 |
2.028 4297 |
2.075 9879 |
2.172 9340 |
36 |
37 |
2.007 0140 |
2.055 5207 |
2.104 7196 |
2.205 0349 |
37 |
38 |
2.032 2544 |
2.082 3808 |
2.133 2329 |
2.236 9427 |
38 |
39 |
2.057 2667 |
2.109 0252 |
2.161 5431 |
2.268 6723 |
39 |
40 |
2.082 0661 |
2.135 4685 |
2.189 6642 |
2.300 2369 |
40 |
41 |
2.106 6660 |
2.161 7241 |
2.217 6094 |
2.331 6491 |
41 |
42 |
2.131 0786 |
2.187 8039 |
2.245 3906 |
2.362 9200 |
42 |
43 |
2.155 3158 |
2.213 7196 |
2.273 0188 |
2.394 0600 |
43 |
44 |
2.179 3880 |
2.239 4814 |
2.300 5042 |
2.425 0789 |
44 |
45 |
2.203 3053 |
2.265 0990 |
2.327 8563 |
2.455 9852 |
45 |
46 |
2.227 0769 |
2.290 5815 |
2.355 0838 |
2.486 7871 |
46 |
47 |
2.250 7113 |
2.315 9373 |
2.382 1947 |
2.517 4920 |
47 |
48 |
2.274 2165 |
2.341 1740 |
2.409 1966 |
2.548 1069 |
48 |
49 |
2.297 6000 |
2.366 2990 |
2.436 0965 |
2.578 6281 |
49 |
50 |
2.320 8688 |
2.391 3189 |
2.462 9008 |
2.609 0915 |
50 |
68
Logarithm of Amount of 1 Per Annum at Compound Interest TABLE XIII. '«^ ^m
n |
5^7 |
6% |
7% |
n |
|
51 |
2.344 0293 |
2.416 2399 |
2.489 6155 |
2.639 4725 |
51 |
52 |
2.367 0877 |
2.441 0682 |
2.516 2462 |
2.669 7862 |
52 |
53 |
2.390 0497 |
2.465 8092 |
2.542 7983 |
2.700 0373 |
53 |
54 |
2.412 9205 |
2.490 4677 |
2.569 2767 |
2.730 2300 |
54 |
55 |
2.435 7052 |
2.515 0488 |
2.595 6858 |
2.760 3686 |
55 |
56 |
2.458 4084 |
2.539 5568 |
2.622 0297 |
2.790 4566 |
56 |
57 |
2.481 0349 |
2.563 9961 |
2.648 3128 |
2.820 4973 |
57 |
58 |
2.503 5883 |
2.588 3705 |
2.674 5385 |
2.850 4944 |
58 |
59 |
2.526 0729 |
2.612 6838 |
2.700 7103 |
2.880 4504 |
59 |
60 |
2.548 4922 |
2.636 9394 |
2.726 8316 |
2.910 3684 |
60 |
61 |
2.570 8497 |
2.661 1405 |
2.752 9053 |
2.940 2508 |
61 |
62 |
2.593 1486 |
2.685 2902 |
2.778 9343 |
2.970 1001 |
62 |
63 |
2.615 3922 |
2.709 3915 |
2.804 9213 |
2.999 9185 |
63 |
64 |
2.637 5831 |
2.733 4471 |
2.830 8686 |
3.029 7081 |
64 |
65 |
2.659 7242 |
2.757 4593 |
2.856 7789 |
3.059 4707 |
65 |
66 |
2.681 8180 |
2.781 4307 |
2.882 6541 |
3.089 2082 |
66 |
67 |
2.703 8670 |
2.805 3636 |
2.908 4965 |
3.118 9224 |
67 |
68 |
2.725 8735 |
2.829 26,00 |
2.934 3079 |
3.148 6148 |
68 |
69 |
2.747 8396 |
2.853 1220 |
2.960 0901 |
3.178 2866 |
69 |
70 |
2.769 7674 |
2.876 9513 |
2.985 8449 |
3.207 9396 |
70 |
71 |
2.791 6590 |
2.900 7499 |
3.011 5737 |
3.237 5748 |
71 |
72 |
2.813 5160 |
2.924 5194 |
3.037 2785 |
3.267 1934 |
72 |
73 |
2.835 3403 |
2.948 2614 |
3.062 9602 |
3.296 7965 |
73 |
74 |
2.857 1335 |
2.971 9773 |
3.088 6203 |
3.326 3851 |
74 |
75 |
2.878 8971 |
2.995 6687 |
3.114 2602 |
3.355 9603 |
75 |
76 |
2.900 6328 |
3.019 3367 |
3.139 8809 |
3.385 5229 |
76 |
77 |
2.922 3416 |
3.042 9828 |
3.165 4835 |
3.415 0736 |
77 |
78 |
2.944 0253 |
3.066 6079 |
3.191 0692 |
3.444 6135 |
78 |
79 |
2.965 6848 |
3.090 2134 |
3.216 6389 |
3.474 1431 |
79 |
80 |
2.987 3215 |
3.113 8001 |
3.242 1935 |
3.503 6630 |
80 |
81 |
3.008 9366 |
3.137 3693 |
3.267 7338 |
3.533 1741 |
81 |
82 |
3.030 5308 |
3.160 9216 |
3.293 2608 |
3.562 6767 |
82 |
83 |
3.052 1055 |
3.184 4582 |
3.318 7751 |
3.592 1716 |
83 |
84 |
3.073 6614 |
3.207 9797 |
3.344 2776 |
3.621 6592 |
84 |
85 |
3.095 1997 |
3.231 4872 |
3.369 7689 |
3.651 1400 |
85 |
86 |
3.116 7210 |
3.254 9811 |
3.395 2496 |
3.680 6144 |
86 |
87 |
3.138 2264 |
3.278 4624 |
3.420 7204 |
3.710 0828 |
87 |
88 |
3.159 7164 |
3.301 9316 |
3.446 1817 |
3.739 5457 |
88 |
89 |
3.181 1920 |
3.325 3894 |
3.471 6342 |
3.769 0034 |
89 |
90 |
3.202 6538 |
3.348 8364 |
3.497 0784 |
3.798 4563 |
90 |
91 |
3.224 1024 |
3.372 2731 |
3.522 5146 |
3.827 9046 |
91 |
92 |
3.245 5384 |
3.395 7003 |
3.547 9435 |
3.857 3487 |
92 |
93 |
3.266 9627 |
3.419 1183 |
3.573 3653 |
3.886 7889 |
93 |
94 |
3.288 3756 |
3.442 5275 |
3.598 7807 |
3.916 2253 |
94 |
95 |
3.309 7778 |
3.465 9285 |
3.624 1896 |
3.945 6583 |
95 |
96 |
3.331 1697 |
3.489 3218 |
3.649 5929 |
3.975 0881 |
96 |
97 |
3.352 5519 |
3.512 7076 |
3.674 9906 |
4.004 5148 |
97 |
98 |
3.373 9249 |
3.536 0865 |
3.700 3830 |
4.033 9388 |
98 |
99 |
3.395 2889 |
3.559 4587 |
3.725 7705 |
4.063 3601 |
99 |
100 |
3.416 6447 |
3.582 8247 |
3.751 1534 |
4.902 7789 |
100 |
69
Logarithm of Present Value of 1 per Annum at Compound Interest TABLE XIV.
log a— I
n |
1% |
ih% |
ih7o |
1%% |
n |
1 |
9.995 6786 |
9.994 6049 |
9.993 5339 |
9.992 4656 |
1 |
2 |
0.294 5533 |
0.292 9457 |
0.291 3429 |
0.289 7447 |
2 |
3 |
0.468 4928 |
0.466 3535 |
0.464 2213 |
0.462 0960 |
3 |
4 |
0.591 2834 |
0.588 6142 |
0.585 9551 |
0.583 3056 |
4 |
5 |
0.686 0488 |
0.682 8519 |
0.679 6682 |
0.676 4975 |
5 |
6 |
0.763 0891 |
0.759 3663 |
0.755 6605 |
0.751 9714 |
6 |
7 |
0.827 8985 |
0.823 6519 |
0.819 4264 |
0.815 2218 |
7 |
8 |
0.883 7567 |
0.878 9882 |
0.874 2455 |
0.869 5282 |
8 |
9 |
0.932 7790 |
0.927 4906 |
0.922 2332 |
0.917 0060 |
9 |
10 |
0.976 4098 |
0.970 6037 |
0.964 8338 |
0.959 0998 |
10 |
11 |
1.015 6795 |
1.009 3574 |
1.003 0777 |
0.996 8395 |
11 |
12 |
1.051 3485 |
1.044 5127 |
1.037 7254 |
1.030 9861 |
12 |
13 |
1.083 9946 |
1.076 6473 |
1.069 3547 |
1.062 1 170 |
13 |
14 |
1.114 0669 |
1.106 2096 |
1.098 4146 |
1.090 6814 |
14 |
15 |
1.141 9215 |
1.133 5564 |
1.125 2611 |
1.117 0352 |
15 |
16 |
1.167 8449 |
1.158 9740 |
1.150 1810 |
1.141 4654 |
16 |
17 |
1.192 0723 |
1.182 6976 |
1.173 4092 |
1.164 2065 |
17 |
18 |
1.214 7980 |
1.204 9213 |
1.195 1399 |
1.185 4533 |
18 |
19 |
1.236 1846 |
1.225 8081 |
1.215 5363 |
1.205 3683 |
19 |
20 |
1.256 3701 |
1.245 4959 |
1.234 7359 |
1.224 0895 |
20 |
21 |
1.275 4721 |
1.264 1018 |
1.252 8563 |
1.241 7345 |
21 |
22 |
1.293 5919 |
1.281 7277 |
1.269 9989 |
1.258 4043 |
22 |
23 |
1.310 8168 |
1.298 4609 |
1.286 2512 |
1.274 1866 |
23 |
24 |
1.327 2237 |
1.314 3777 |
1.301 6897 |
1.289 1582 |
24 |
25 |
1.342 8796 |
1.329 5457 |
1.316 3816 |
1.303 3859 |
25 |
26 |
1.357 8434 |
1.344 0236 |
1.330 3860 |
1.316 9288 |
26 |
27 |
1.372 1681 |
1.357 8643 |
1.343 7555 |
1.329 8396 |
27 |
28 |
1.385 8999 |
1.371 1144 |
1.356 5367 |
1.342 1651 |
28 |
29 |
1.399 0814 |
1.383 8157 |
1.368 7716 |
1.353 9471 |
29 |
30 |
1.411 7494 |
1.396 0056 |
1.380 4978 |
1.365 2230 |
30 |
31 |
1.423 9383 |
1.407 7186 |
1.391 7490 |
1.376 0269 |
31 |
32 |
1.435 6785 |
1.418 9848 |
1.402 5561 |
1.386 3894 |
32 |
33 |
1.446 9981 |
1.429 8323 |
1.412 9467 |
1.396 3384 |
33 |
34 |
1.457 9223 |
1.440 2864 |
1.422 9464 |
1.405 8990 |
34 |
35 |
1.468 4740 |
1.450 3701 |
1.432 5780 |
1.415 0945 |
35 |
36 |
1.478 6748 |
1.460 1047 |
1.441 8629 |
1.423 9459 |
36 |
37 |
1.488 5437 |
1.469 5094 |
1.450 8205 |
1.432 4729 |
37 |
38 |
1.498 0990 |
1.478 6026 |
1.459 4687 |
1.440 6932 |
38 |
39 |
1.507 3570 |
1.487 4002 |
1.467 8238 |
1.448 6233 |
39 |
40 |
1.516 3329 |
1.495 9178 |
1.475 9013 |
1.456 2784 |
40 |
41 |
1.525 0407 |
1.504 1695 |
1.483 7150 |
1.463 6726 |
41 |
42 |
1.533 4937 |
1.512 1681 |
1.491 2783 |
1.470 8190 |
42 |
43 |
1.541 7041 |
1.519 9260 |
1.498 6032 |
1.477 7297 |
43 |
44 |
1.549 6830 |
1.527 4545 |
1.505 7010 |
1.484 4162 |
44 |
45 |
1.557 4411 |
1.534 7641 |
1.512 5822 |
1.490 8888 |
45 |
46 |
1.564 9883 |
1.541 8647 |
1.519 2567 |
1.497 1574 |
46 |
47 |
1.572 3336 |
1.548 7654 |
1.525 7339 |
1.503 2313 |
47 |
48 |
1.579 4858 |
1.555 4751 |
1.532 0221 |
1.509 1191 |
48 |
49 |
1.586 4531 |
1.562 0017 |
1.538 1297 |
1.514 8290 |
49 |
50 |
1.593 2430 |
1.568 3528 |
1.544 0641 |
1.520 3684 |
50 |
70
Logarithm of Present Value of 1 per Annum at Compound Interest TABLE XIV. '^^ «ir
n |
1% |
ikVc |
ih'c |
1 3, f ' ^4 /C |
n |
51 |
1.599 8627 |
1.574 5356 |
1.549 8326 |
1.525 7444 |
51 |
52 |
1.606 3189 |
1.580 5570 |
1.555 4419 |
1.530 9641 |
52 |
53 |
1.612 6180 |
1.586 4232 |
1.560 8985 |
1.536 0335 |
53 |
54 |
1.618 7660 |
1.592 1401 |
1.566 2080 |
1.540 9588 |
54 |
55 |
1.624 7686 |
1.597 7137 |
1.571 3764 |
1.545 7455 |
55 |
56 |
1.630 6310 |
1.603 1490 |
1.576 4091 |
1.550 3989 |
56 |
57 |
1.636 3587 |
1.608 4513 |
1.581 3109 |
1.554 9244 |
57 |
58 |
1.641 9560 |
1.613 6253 |
1.586 0868 |
1.559 3266 |
58 |
59 |
1.647 4278 |
1.618 6757 |
1.590 7411 |
1.563 6099 |
59 |
60 |
1.652 7783 |
1.623 6068 |
1.595 2786 |
1.567 7788 |
60 |
61 |
1.658 0117 |
1.628 4226 |
1.599 7031 |
1.571 8373 |
61 |
62 |
1.663 1319 |
1.633 1271 |
1.604 0185 |
1.575 7895 |
62 |
63 |
1.668 1426 |
1.637 7241 |
1.608 2287 |
1.579 6389 |
63 |
64 |
1.673 0473 |
1.642 2170 |
1.612 3371 |
1.583 3893 |
64 |
65 |
1.677 8496 |
1.646 6094 |
1.616 3472 |
1.587 0438 |
65 |
66 |
1.682 5526 |
1.650 9042 |
1.620 2620 |
1.590 6058 |
66 |
67 |
1.687 1593 |
1.655 1048 |
1.624 0849 |
1.594 0782 |
67 |
68 |
1.691 6728 |
1.659 2141 |
1.627 8186 |
1.597 4640 |
68 |
69 |
1.696 0959 |
1.663 2348 |
1.631 4660 |
1.600 7662 |
69 |
70 |
1.700 4311 |
1.667 1697 |
1.635 0298 |
1.603 9872 |
70 |
71 |
1.704 6814 |
1.671 0212 |
1.638 5126 |
1.607 1297 |
71 |
72 |
1.708 8489 |
1.674 7920 |
1-.641 9168 |
1.610 1963 |
72 |
73 |
1.712 9362 |
1.678 4844 |
1.645 2448 |
1.613 1891 |
73 |
74 |
1.716 9454 |
1.682 1006 |
1.648 4987 |
1.616 1105 |
74 75 |
75 |
1.720 8788 |
1.685 6429 |
1.651 6811 |
1.618 9626 |
|
76 |
1.724 7385 |
1.689 1134 |
1.654 7937 |
1.621 7474 |
76 |
77 |
1.728 5263 |
1.692 5139 |
1.657 8387 |
1.624 4671 |
77 |
78 |
1.732 2446 |
1.695 8466 |
1.660 8179 |
1.627 1236 |
78 |
79 |
1.735 8949 |
1.699 1132 |
1.663 7332 |
1.629 7186 |
79 |
80 |
1.739 4790 |
1.702 3155 |
1.666 5865 |
1.632 2540 |
80 |
81 |
1.742 9988 |
1.705 4553 |
1.669 3793 |
1.634 7315 |
81 |
82 |
1.746 4558 |
1.708 5342 |
1.672 1135 |
1.637 1527 |
82 |
83 |
1.749 8517 |
1.711 5538 |
1.674 7905 |
1.639 5190 |
83 |
84 |
1.753 1880 |
1.714 5157 |
1.677 4119 |
1.641 8322 |
84 |
85 |
1.756 4662 |
1.717 4213 |
1.679 9792 |
1.644 0938 |
85 |
86 |
1.759 6878 |
1.720 2721 |
1.682 4938 |
1.646 3050 |
86 |
87 |
1.762 8541 |
1.723 0694 |
1.684 9571 |
1.648 4673 |
87 |
88 |
1.765 9665 |
1.725 8147 |
1.687 3704 |
1.650 5818 |
88 |
89 |
1.769 0262 |
1.728 5091 |
1.689 7350 |
1.652 6500 |
89 |
90 |
1.772 0346 |
1.731 1538 |
1.692 0520 |
1.654 6732 |
90 |
91 |
1.774 9927 |
1.733 7504 |
1.694 3229 |
1.656 6524 |
91 |
92 |
1.777 9019 |
1.736 2997 |
1.696 5486 |
1.658 5888 |
92 |
93 |
1.780 7632 |
1.738 8028 |
1.698 7304 |
1.660 4835 |
93 |
94 |
1.783 5778 |
1.741 2610 |
1.700 8692 |
1.662 3376 |
94 |
95 |
1.786 3465 |
1.743 6754 |
1.702 9662 |
1.664 1522 |
95 |
96 |
1.789 0707 |
1.746 0467 |
1.705 0223 |
1.665 9281 |
96 |
97 |
1.791 7511 |
1.748 3762 |
1.707 0385 |
1.667 6665 |
97 |
98 |
1.794 3887 |
1.750 6646 |
1.709 0159 |
1.669 3684 |
98 |
99 |
1.796 9846 |
1.752 9131 |
1.710 9552 |
1.671 0343 |
99 |
100 |
1.799 5395 |
1.755 1224 |
1.712 8575 |
1.672 6655 |
100 |
71
Logarithm of Present Value of 1 per Annum at Compound Interest TABLE XIV. '«^ «7i^
n |
2% |
2h% |
2%% |
2%% |
re |
1 |
9.991 3999 |
9.990 3366 |
9.989 2761 |
9.988 2182 |
1 |
2 |
0.288 1510 |
0.286 5619 |
0.284 9773 |
0.283 3972 |
2 |
3 |
0.459 9777 |
0.457 8663 |
0.455 7618 |
0.453 6641 |
3 |
4 |
0.580 6660 |
0.578 0361 |
0.575 4158 |
0.572 8051 |
4 |
5 |
0.673 3398 |
0.670 1951 |
0.667 0632 |
0.663 9441 |
5 |
6 |
0.748 2990 |
0.744 6432 |
0.741 0038 |
0.737 3808 |
6 |
7 |
0.811 0379 |
0.806 8747 |
0.802 7321 |
0.798 6098 |
7 |
8 |
0.864 8362 |
0.860 1693 |
0.855 5275 |
0.850 9104 |
8 |
9 |
0.911 8092 |
0.906 6424 |
0.901 5055 |
0.896 3982 |
9 |
10 |
0.953 4014 |
0.947 7383 |
0.942 1105 |
0.936 5176 |
10 |
11 |
0.990 6429 |
0.984 4873 |
0.978 3727 |
0.972 2987 |
11 |
12 |
1.024 2944 |
1.017 6501 |
1.011 0528 |
1.004 5021 |
12 |
13 |
1.054 9336 |
1.047 8042 |
1.040 7283 |
1.033 7056 |
13 |
14 |
1.083 0096 |
1.075 3988 |
1.067 8484 |
1.060 3581 |
14 |
15 |
1.108 8782 |
1.100 7897 |
1.092 7690 |
1.084 8157 |
15 |
16 |
1.132 8265 |
1.124 2639 |
1.115 7770 |
1.107 3651 |
16 |
17 |
1.155 0891 |
1.146 0562 |
1.137 1071 |
1.128 2413 |
17 |
18 |
1.175 8605 |
1.166 3609 |
1.156 9537 |
1.147 6382 |
18 |
19 |
1.195 3035 |
1.185 3409 |
1.175 4796 |
1.165 7190 |
19 |
20 |
1.213 5558 |
1.203 1339 |
1.192 8228 |
1.182 6215 |
20 |
21 |
1.230 7352 |
1.219 8576 |
1.209 1006 |
1.198 4631 |
21 |
22 |
1.246 9427 |
1.235 6131 |
1.224 4143 |
1.213 3451 |
22 |
23 |
1.262 2660 |
1.250 4881 |
1.238 8515 |
1.227 3549 |
23 |
24 |
1.276 7817 |
1.264 5589 |
1.252 4886 |
1.240 5691 |
24 |
25 |
1.290 5567 |
1.277 8929 |
1.265 3928 |
1.253 0548 |
25 |
26 |
1.303 6504 |
1.290 5491 |
1.277 6232 |
1.264 8710 |
26 |
27 |
1.316 1151 |
1.302 5799 |
1.289 2323 |
1.276 0704 |
27 |
28 |
1.327 9975 |
1.314 0322 |
1.300 2669 |
1.286 6995 |
28 |
29 |
1.339 3398 |
1.324 9478 |
1.310 7687 |
1.296 8002 |
29 |
30 |
1.350 1793 |
1.335 3642 |
1.320 7753 |
1.306 4100 |
30 |
31 |
1.360 5499 |
1.345 3153 |
1.330 3206 |
1.315 5628 |
31 |
32 |
1.370 4823 |
1.354 8319 |
1.339 4351 |
1.324 2892 |
32 |
33 |
1.380 0042 |
1.363 9414 |
1.348 1467 |
1.332 6168 |
33 |
34 |
1.389 1411 |
1.372 6695 |
1.356 4807 |
1.340 5712 |
34 |
35 |
1.397 9160 |
1.381 0391 |
1.364 4601 |
1.348 1751 |
35 |
36 |
1.406 3501 |
1.389 0716 |
1.372 1061 |
1.355 4499 |
36 |
37 |
1.414 4628 |
1.396 7860 |
1.379 4382 |
1.362 4149 |
37 |
38 |
1.422 2720 |
1.404 2005 |
1.386 4740 |
1.369 0879 |
38 |
39 |
1.429 7941 |
1.411 3313 |
1.393 2302 |
1.375 4853 |
39 |
40 |
1.437 0443 |
1.418 1939 |
1.399 7217 |
1.381 6222 |
40 |
41 |
1.444 0368 |
1.424 8022 |
1.405 9628 |
1.387 5128 |
41 |
42 |
1.450 7846 |
1.431 1692 |
1.411 9665 |
1.393 1700 |
42 |
43 |
1.457 2998 |
1.437 3070 |
1.417 7447 |
1.398 6060 |
43 |
44 |
1.463 5938 |
1.443 2271 |
1.423 3089 |
1.403 8319 |
44 |
45 |
1.469 6772 |
1.448 9399 |
1.428 6696 |
1.408 8583 |
45 |
46 |
1.475 5596 |
1.454 4553 |
1.433 8365 |
1.413 6948 |
46 |
47 |
1.481 2503 |
1.459 7823 |
1.438 8188 |
1.418 3509 |
47 |
48 |
1.486 7580 |
1.464 9297 |
1.443 6252 |
1.422 8349 |
48 |
49 |
1.492 0907 |
1.469 9054 |
1.448 2636 |
1.427 1548 |
49 |
50 |
1.497 2560 |
1.474 7172 |
1.452 7417 |
1.431 3182 |
50 |
72
Logarithm of Present Value of 1 per Annum at Compound Interest TABLE XIV.
log a-
n |
2% |
2h% |
n |
||
51 |
1.502 2611 |
1.479 3721 |
1.457 0664 |
1.435 3322 |
51 |
52 |
1.507 1127 |
1.483 8769 |
1.461 2445 |
1.439 2036 |
52 |
53 |
1.511 8171 |
1.488 2377 |
1.465 2824 |
1.442 9384 |
53 |
54 |
1.516 3803 |
1.492 4606 |
1.469 1860 |
1.446 5428 |
54 |
55 |
1.520 8081 |
1.496 5512 |
1.472 9608 |
1.450 0221 |
55 |
56 |
1.525 1056 |
1.500 5150 |
1.476 6122 |
1.453 3817 |
56 |
57 |
1.529 2779 |
1.504 3567 |
1.480 1452 |
1.456 6268 |
57 |
58 |
1.533 3300 |
1.508 0814 |
1.483 5646 |
1.459 7619 |
58 |
59 |
1.537 2661 |
1.511 6935 |
1.486 8747 |
1.462 7915 |
59 |
60 |
1.541 0909 |
1.515 1973 |
1.490 0802 |
1.465 7197 |
60 |
61 |
1.544 8081 |
1.518 5970 |
1.493 1847 |
1.468 5508 |
61 |
62 |
1.548 4218 |
1.521 8962 |
1.496 1922 |
1.471 2886 |
62 |
63 |
1.551 9357 |
1.525 0987 |
1.499 1064 |
1.473 9366 |
63 |
64 |
1.555 3534 |
1.528 2081 |
1.501 9309 |
1.476 4983 |
64 |
65 |
1.558 6782 |
1.531 2277 |
1.504 6689 |
1.478 9770 |
65 |
66 |
1.561 9132 |
1.534 1608 |
1.507 3235 |
1.481 3758 |
66 |
67 |
1.565 0615 |
1.537 0101 |
1.509 8980 |
1.483 6979 |
67 |
68 |
1.568 1261 |
1.539 7789 |
1.512 3950 |
1.485 9458 |
68 |
69 |
1.571 1098 |
1.542 4697 |
1.514 8172 |
1.488 1226 |
69 |
70 |
1.574 0152 |
1.545 0852 |
1.517 1676 |
1.490 2306 |
70 |
71 |
1.576 8449 |
1.547 6282 |
1.519 4483 |
1.492 2725 |
71 |
72 |
1.579 6013 |
1.550 1009 |
1.521 6620 |
1.494 2504 |
72 |
73 |
1.582 2869 |
1.552 5056 |
1.523 8108 |
1.496 1670 |
73 |
74 |
1.584 9037 |
1.554 8445 |
1.525 8971 |
1.498 0240 |
74 |
75 |
1.587 4540 |
1.557 1200 |
1.527 9228 |
1.499 8239 |
75 |
76 |
1.589 9399 |
1.559 3338 |
1.529 8900 |
1.501 5683 |
76 |
77 |
1.592 2632 |
1.561 4879 |
1.531 8008 |
1.503 2595 |
77 |
78 |
1.594 7260 |
1.563 5846 |
1.533 6569 |
1.504 8989 |
78 |
79 |
1.597 0301 |
1.565 6252 |
1.535 4600 |
1.506 4888 |
79 |
80 |
1.599 2771 |
1.567 6118 |
1.537 2121 |
1.508 0303 |
80 |
81 |
1.601 4689 |
1.569 5459 |
1.538 9146 |
1.509 5255- |
i 81 |
82 |
1.603 6071 |
1.571 4291 |
1.540 5692 |
1.510 9757 |
82 |
83 |
1.605 6931 |
1.573 2630 |
1.542 1774 |
1.512 3824 |
83 |
84 |
1.607 7285 |
1.575 0492 |
1.543 7405 |
1.513 7471 |
84 |
85 |
1.609 7148 |
1.576 7890 |
1.545 2602 |
1.515 0712 |
85 |
86 |
1.611 6534 |
1.578 4837 |
1.546 7377 |
1.516 3560 |
86 |
87 |
1.613 5456 |
1.580 1347 |
1.548 1744 |
1.517 6027 |
87 |
88 |
1.615 3928 |
1.581 7434 |
1.549 5715 |
1.518 8128 |
88 |
89 |
1.617 1961 |
1.583 3110 |
1.550 9301 |
1.519 9871 |
89 |
90 |
1.618 9568 |
1.584 8386 |
1.552 2515 |
1.521 1269 |
90 |
91 |
1.620 6761 |
1.586 3275 |
1.553 5369 |
1.522 2335 |
91 |
92 |
1.622 3551 |
1.387 7785 |
1.554 7873 |
1.523 3077 |
92 |
93 |
1.623 9950 |
1.589 1931 |
1.556 0037 |
1.524 3507 |
93 |
94 |
1.625 5965 |
1.590 5720 |
1.557 1871 |
1.525 3632 |
94 |
95 |
1 627 1612 |
1.591 9164 |
1.558 3385 |
1.526 3465 |
95 |
96 |
1.628 6895 |
1.593 2272 |
1.559 4590 |
- 1.527 3012 |
96 |
97 |
1.630 1828 |
1.594 5053 |
1.560 5493 |
1.528 2284 |
97 |
98 |
1.631 6419 |
1.595 7517 |
1.561 6104 |
1.529 1290 |
98 |
99 |
1.633 0675 |
1.596 9672 |
1.562 6433 |
1.530 0036 |
99 |
100 |
1.634 4606 |
1.598 1527 |
1.563 6484 |
1.530 8531 |
100 |
Logarithm of Present Value of 1 per Anniiin at Compound Interest TABLE XIV. if^g «7ri
n |
3% |
sh7o |
4% |
4^% |
n |
1 |
9.987 1628 |
9.985 0596 |
9.982 9667 |
9.980 8837 |
1 |
2 |
0.281 8216 |
0.278 6837 |
0.275 5635 |
0.272 4607 |
2 |
3 |
0.451 5733 |
0.447 4118 |
0.443 2772 |
0.439 1691 |
3 |
4 |
0.570 2040 |
0.565 0303 |
0.559 8941 |
0.554 7950 |
4 |
5 |
0.660 8377 |
0.654 6628 |
0.648 5378 |
0.642 4622 |
5 |
6 |
0.733 7742 |
0.726 6093 |
0.719 5084 |
0.712 4706 |
6 |
7 |
0.794 5078 |
0.786 3640 |
0.778 2999 |
0.770 3144 |
7 |
8 |
0.846 3181 |
0.837 2067 |
0.828 1922 |
0.819 2732 |
8 |
9 |
0.891 3205 |
0.881 2526 |
0.871 3003 |
0.861 4621 |
9 |
10 |
0.930 9593 |
0.919 9461 |
0.909 0688 |
0.898 3257 |
10 |
11 |
0.966 2649 |
0.954 3173 |
0.942 5277 |
0.930 8939 |
11 |
12 |
0.997 9978 |
1.985 1270 |
0.972 4377 |
0.959 9273 |
12 |
13 |
1.026 7357 |
1.012 9527 |
0.999 3763 |
0.986 0033 |
13 |
14 |
1.052 9275 |
1.308 2433 |
1.023 7924 |
1.009 5710 |
14 |
15 |
1.076 9292 |
1.061 3549 |
1.046 0418 |
1.030 9859 |
15 |
16 |
1.099 0277 |
1.082 5742 |
1.066 4115 |
1.050 5350 |
16 |
17 |
1.119 4578 |
1.102 1359 |
1.085 1360 |
1.068 4527 |
17 |
18 |
1.138 4136 |
1.120 2343 |
1.102 4096 |
1.084 9332 |
18 |
19 |
1.156 0582 |
1.137 0323 |
1.118 3950 |
1.100 1393 |
19 |
20 |
1.172 5293 |
1.152 6675 |
1.133 2299 |
1.114 2084 |
20 |
21 |
1.187 9442 |
1.167 2574 |
1.147 0317 |
1.127 2579 |
21 |
22 |
1.202 4043 |
1.180 9033 |
1.159 9014 |
1.139 3887 |
22 |
23 |
1.215 9972 |
1.193 6924 |
1.171 9265 |
1.150 6882 |
23 |
24 |
1.228 7991 |
1.205 7014 |
1.183 1833 |
1.161 2325 |
24 |
25 |
1.240 8773 |
1.216 9971 |
1.193 7388 |
1.171 0887 |
25 |
26 |
1.252 2908 |
1.227 6387 |
1.203 6520 |
1.180 3155 |
26 |
27 |
1.263 0921 |
1.237 6786 |
1.212 9752 |
1.188 9651 |
27 |
28 |
1.273 3279 |
1.247 1633 |
1.221 7548 |
1.197 0840 |
28 |
29 |
1.283 0400 |
1.256 1346 |
1.230 0327 |
1.204 7137 |
29 |
30 |
1.292 2658 |
1.264 6301 |
1.237 8460 |
1.211 8914 |
30 |
31 |
1.301 0393 |
1.272 6833 |
1.245 2287 |
1.218 6508 |
31 |
32 |
1.309 3909 |
1.280 3248 |
1.252 2109 |
1.225 0220 |
32 |
33 |
1.317 3485 |
1.287 5825 |
1.258 8203 |
1.231 0326 |
33 |
34 |
1.324 9373 |
1.294 4813 |
1.265 0821 |
1.236 7075 |
34 |
35 |
1.332 1802 |
1.301 0443 |
1.271 0190 |
1.242 0694 |
35 |
36 |
1.339 0985 |
1.307 2926 |
1.276 6521 |
1.247 1392 |
36 |
37 |
1.345 7115 |
1.313 2454 |
1.282 0004 |
1.251 9359 |
37 |
38 |
1.352 0370 |
1.318 9204 |
1.287 0818 |
1.256 4770 |
38 |
39 |
1.358 0913 |
1.324 3339 |
1.291 9122 |
1.260 7785 |
39 |
40 |
1.363 8896 |
1.329 5011 |
1.296 5067 |
1.264 8552 |
40 |
41 |
1.369 4459 |
1.334 4357 |
1.300 8791 |
1.268 7209 |
41 |
42 |
1.374 7733 |
1.339 1509 |
1.305 0423 |
1.272 3882 |
42 |
43 |
1.379 8836 |
1.343 6585 |
1.309 0079 |
1.275 8688 |
43 |
44 |
1.384 7883 |
1.347 9696 |
1.312 7873 |
1.279 1736 |
44 |
45 |
1.389 4977 |
1.352 0947 |
1.316 3906 |
1.282 3127 |
45 |
46 |
1.394 0216 |
1.356 0434 |
1.319 8273 |
1.285 2955 |
46 |
47 |
1.398 3690 |
1.359 8248 |
1.323 1064 |
1.288 1309 |
47 |
48 |
1.402 5487 |
1.363 4473 |
1.326 2361 |
1.290 8269 |
48 |
49 |
1.406 5684 |
1.366 9190 |
1.329 2244 |
1.293 3913 |
49 |
50 |
1.410 4358 |
1.370 2469 |
1.332 0784 |
1.295 8311 |
50 |
71
Logarithm of Present Value of 1 per Anniini at Compound Interest TABLE XIV.
log a—
n |
3% |
1 V f ' |
4^r, |
4J^Sc |
n |
51 |
1.414 1579 |
1.373 4383 |
1.334 8052 |
1.298 1531 |
51 |
52 |
1.417 7413 |
1.376 4996 |
1.337 4109 |
1.300 3634 |
52 |
53 |
1.421 1923 |
1.379 4371 |
1.339 9018 |
1.302 4681 |
53 |
54 |
1.424 5167 |
1.382 2566 |
1.342 2837 |
1.304 4728 |
54 |
55 |
1.427 7202 |
1.384 9634 |
1.344 5614 |
1.306 3825 |
55 |
56 |
1.430 8078 |
1.387 5626 |
1.346 7405 |
1.308 2021 |
56 |
57 |
1.433 7848 |
1.390 0594 |
1.348 8255 |
1.309 9363 |
57 |
58 |
1.436 6556 |
1.392 4580 |
1.350 8209 |
1.31 1 5893 |
58 |
59 |
1.439 4247 |
1.394 7633 |
1.352 7309 |
1.313 1652 |
59 |
60 |
1.442 0963 |
1.396 9788 |
1.354 5596 |
1.314 6681 |
60 |
61 |
1.444 6746 |
1.399 1089 |
1.356 3107 |
1.316 1012 |
61 |
62 |
1.447 1633 |
1.401 1569 |
1.357 9877 |
1.317 4682 |
62 |
63 |
1.449 5658 |
1.403 1266 |
1.359 5943 |
1.318 7724 |
63 |
64 |
1.451 8858 |
1.405 0212 |
1.361 1335 |
1.320 0168 |
64 |
65 |
1.454 1264 |
1.406 8440 |
1.362 6083 |
1.321 2043 |
65 |
66 |
1.456 2907 |
1.408 5979 |
1.364 0218 |
1.322 3376 |
66 |
67 |
1.458 3817 |
1.410 2858 |
1.365 3766 |
1.323 4193 |
67 |
68 |
1.460 4023 |
1.411 9103 |
1.366 6752 |
1.324 4520 |
68 |
69 |
1.462 3549 |
1.413 4742 |
1.367 9203 |
1.325 4379 |
69 |
70 |
1.464 2424 |
1.414 9800 |
1.369 1139 |
1.326 3791 |
70 |
71 |
1.466 0670 |
1.416 4297 |
1.370 2588 |
1.327 2780 |
71 |
72 |
1.467 8313 |
1.417 8259 |
1.371 3568 |
1.328 1365 |
72 |
73 |
1.469 5373 |
1.419 1708 |
1.372 4099 |
1.328 9562 |
73 |
74 |
1.471 1873 |
1.420 4660 |
1.373 4200 |
1.329 7395 |
74 |
75 |
1.472 7832 |
1.421 7139 |
1.374 3892 |
1.330 4874 |
75 |
76 |
1.474 3270 |
1.422 9161 |
1.375 3189 |
1.331 2020 |
76 |
77 |
1.475 8206 |
1.424 0746 |
1.376 2111 |
1.331 8850 |
77 |
78 |
1.477 2658 |
1.425 1910 |
1.377 0673 |
1.332 5373 |
78 |
79 |
1.478 6644 |
1.426 2668 |
1.377 8889 |
1.333 1607 |
79 |
80 |
1.480 0178 |
1.427 3040 |
1.378 6774 |
1.333 7563 |
80 |
81 |
1.481 3279 |
1.428 3034 |
1.379 4344 |
1.334 3256 |
81 |
82 |
1.482 5962 |
1.429 2670 |
1.380 1609 |
1.334 8697 |
82 |
83 |
1.483 8238 |
1.430 1960 |
1.380 8583 |
1.335 3897 |
83 |
84 |
1.485 0124 |
1.431 0916 |
1.381 5278 |
1.335 8868 |
84 |
85 |
1.486 1633 |
1.431 9552 |
1.382 1707 |
1.336 3619 |
85 |
86 |
1.487 2778 |
1.432 7881 |
1.382 7879 |
1.336 8160 |
86 |
87 |
1.488. 3571 |
1.433 5912 |
1.383 3806 |
1.337 2501 |
87 |
88 |
1.489 4022 |
1.434 3657 |
1.383 9497 |
1.337 6652 |
88 |
89 |
1.490 4147 |
1.435 1128 |
1.384 4962 |
1.338 0620 |
89 |
90 |
1.491 3954 |
1.435 8335 |
1.385 0211 |
1.338 4413 |
90 |
91 |
1.492 3454 |
1.436 5285 |
1.385 5251 |
1.338 8041 |
91 |
92 |
1.493 2657 |
1.437 1991 |
1.386 0092 |
1.339 1510 |
92 |
93 |
1.494 1575 |
1.437 8460 |
1.386 4741 |
1.339 4824 |
93 |
94 |
1.495 0215 |
1.438 4700 |
1.386 9209 |
1.339 7997 |
94 |
95 |
1.495 8586 |
1.439 0720 |
1.387 3499 |
1.340 1029 |
95 |
96 |
1.496 6698 |
1.439 6529 |
1.387 7619 |
1.340 3929 |
96 |
97 |
1.497 4560 |
1.440 2136 |
1.388 1578 |
1.340 6702 |
97 |
98 |
1.498 2178 |
1.440 7545 |
1.388 5382 |
1.340 9354 |
98 |
99 |
1.498 9563 |
1.441 2766 |
1.388 9036 |
1.341 1890 |
99 |
100 |
1.499 6720 |
1.441 7804 |
1.389 2547 |
1.341 4316 |
100 |
o
I>f>earifhm of Prr-rnt ^ aliif of I pr-r Annum at (impound Inlerei^t TABI.f \IV. '''-"tt
n |
O'r |
oh' f |
6 f |
^"< |
n |
1 |
9.978 8108 |
9 976 7476 |
9.974 6942 |
9.970 6162 |
1 |
2 |
0-269 3752 |
0.266 3070 |
0.263 2555 |
0.257 2028 |
2 |
3 |
0 435 0872 |
0.431 0312 |
0.427 0009 |
0.419 0161 |
3 |
4 |
0 549 7327 |
0.544 7066 |
0.539 7165 |
0.529 8423 |
4 |
5 |
0 636 4354 |
0.630 4568 |
0.624 5259 |
0.612 3047 |
5 |
6 |
0.705 4952 |
0.693 5816 |
0.691 7238 |
0.673 2032 |
6 |
7 |
0.762 4065 |
0.754 5752 |
0.746 8195 |
0.731 5315 |
7 |
8 |
0.B10 4485 |
O.B01 7169 |
0.793 0772 |
0.776 0688 |
8 |
» |
0-S51 7365 |
0.842 1220 |
0.332 6170 |
0.313 9299 |
9 |
10 |
0.887 7149 |
0.877 2346 |
0.866 8829 |
0.845 5587 |
10 |
11 |
0.919 4136 |
0.908 0847 |
0.896 9049 |
0.374 9845 |
11 |
12 |
0.947 5930 |
0 935 4326 |
0.923 4432 |
0.399 9674 |
12 |
13 |
0.972 8308 |
0.959 8557 |
0.947 0749 |
0.922 0342 |
13 |
14 |
0 995 5756 |
0.981 8027 |
0.968 2486 |
0.941 7830 |
14 |
15 |
1.016 1831 |
1.001 6291 |
0.987 3198 |
0.959 4190 |
15 |
16 |
1.034 9399 |
1.019 6214 |
1.004 5748 |
0.975 2777 |
16 |
17 |
1.052 0806 |
1.036 0142 |
1.020 2477 |
0.989 5932 |
17 |
18 |
1.067 7992 |
1.051 0010 |
1.034 5323 |
1.002 5586 |
18 |
19 |
1.082 2582 |
1.064 7445 |
1.047 5910 |
1.014 3355 |
19 |
20 |
1.095 5950 |
1.077 3818 |
1.059 5604 |
1.025 0606 |
20 |
21 |
1.107 9271 |
1.089 0301 |
1.070 5578 |
1.034 8500 |
21 |
22 |
1.119 3550 |
1.099 7901 |
1.080 6836 |
1.043 8039 |
22 |
23 |
1.129 9561 |
1.109 7436 |
1.090 0244 |
1.052 0032 |
23 |
24 |
1.139 8363 |
1.118 9819 |
1.093 6561 |
1.059 5382 |
24 |
25 |
1.149 0326 |
1.127 5561 |
1.106 6449 |
1.066 4594 |
25 |
26 |
1.157 6135 |
1.135 5300 |
1.114 0492 |
1.072 8298 |
26 |
27 |
1.165 6311 |
1.142 9554 |
1.120 9203 |
1.073 7000 |
27 |
2B |
1.173 1317 |
1.149 3735 |
1.127 3045 |
1.084 1154 |
23 |
29 |
1.180 1567 |
1.156 3402 |
1.133 2425 |
1.089 1161 |
29 |
30 |
1.186 7431 |
1.162 3776 |
1.138 7709 |
1.093 7382 |
30 |
31 |
1.192 9244 |
1.168 0237 |
1.143 9226 |
1.098 0140 |
31 |
32 |
1.198 7306 |
1.173 3086 |
1.148 7273 |
1.101 9722 |
32 |
33 |
1 204 1892 |
1.178 2593 |
1.153 2119 |
1.105 6393 |
33 |
34 |
1.209 3247 |
1.132 9005 |
1.157 4007 |
1.109 0386 |
34 |
35 |
1.214 1599 |
1.187 2542 |
1.161 3155 |
1.112 1917 |
35 |
36 |
1.218 7154 |
1.191 3411 |
1.164 9767 |
1.115 1179 |
36 |
37 |
1.223 0099 |
1.195 1798 |
1.163 4026 |
1.117 8350 |
37 |
38 |
1.227 0609 |
1.198 7873 |
1.171 6101 |
1.120 3592 |
38 |
39 |
1.230 8840 |
1.202 1793 |
1.174 6143 |
1.122 7049 |
39 |
40 |
1.234 4942 |
1.205 3702 |
1.177 4297 |
1.124 8858 |
40 |
41 |
1.237 9047 |
1.208 3732 |
1.180 0090 |
1.126 9142 |
41 |
42 |
1.241 1281 |
1.211 2007 |
1.182 5443 |
1.128 8014 |
42 |
43 |
1.244 1759 |
1.213 8638 |
1.184 8666 |
1.130 5577 |
43 |
44 |
1.247 0589 |
1.216 3732 |
1.187 0462 |
1.132 1927 |
44 |
45 |
1.249 7869 |
1.218 7383 |
1.189 0924 |
1.133 7152 |
45 |
46 |
1.252 3691 |
1.220 9684 |
1.191 0140 |
1.135 1333 |
46 |
47 |
1.254 8142 |
1.223 0717 |
1.192 8191 |
1.136 4545 |
47 |
48 |
1 257 1302 |
1.225 0560 |
1.194 5150 |
1.137 6855 |
43 |
49 |
1.259 3244 |
1.226 9284 |
1.196 1090 |
1.138 8330 |
49 |
50 |
1.261 4037 |
1.228 6959 |
1.197 6075 |
1.139 9026 |
50 |
Ix)garithni of Present \ alue of 1 per Annum at Compound Interest
TABLE XIV.
log a-
n |
5'-c |
- 1^ c - 0^2 C |
6^c |
' ': c |
fl |
51 |
1.263 3751 |
1.230 3646 |
1.199 0164 |
1.140 8997 |
51 |
52 |
1.265 2441 |
1.231 9403 |
1.200 3412 |
1.141 8298 |
52 |
53 |
1.267 0168 |
1.233 4289 |
1.201 5874 |
1.142 6972 |
53 |
54 |
1.268 6984 |
1.234 8348 |
1.202 7601 |
1.143 5059 |
54 |
55 |
1.270 2937 |
1.236 1634 |
1.203 8631 |
1.144 2609 |
55 |
56 |
1.271 8077 |
1.237 4191 |
1.204 9012 |
1.144 9650 |
56 |
57 |
1.273 2448 |
1.238 6060 |
1.205 8785 |
1.145 6221 |
57 |
58 |
1 .274 6089 |
1.239 7278 |
1.206 7983 |
1.146 2353 |
58 |
59 |
1 .275 9042 |
1.240 7888 |
1.207 6642 |
1.146 8076 |
59 |
60 |
1.277 1343 |
1.241 7918 |
1.208 4797 |
1.147 3417 |
60 |
61 |
1.278 3026 |
1.242 7404 |
1 .209 2476 |
1.147 8403 |
61 |
62 |
1.279 4121 |
1.243 6376 |
1.209 9707 |
1.148 3058 |
62 |
63 |
1 .280 4663 |
1 .244 4866 |
1.210 6517 |
1.148 7405 |
63 |
64 |
1 .281 4679 |
1 .245 2896 |
1.211 2933 |
1.149 1464 |
64 |
65 |
1 .282 4197 |
1.246 0495 |
1.211 8976 |
1.149 5251 |
65 |
66 |
1.283 3242 |
1.246 7683 |
1.212 4670 |
1.149 8790 |
66 |
67 |
1.284 1840 |
1 .247 4488 |
1.213 0036 |
1.150 2094 |
67 |
68 |
1.285 0011 |
1 .248 0927 |
1.213 5090 |
1.150 5178 |
68 |
69 |
1.285 7780 |
1.248 7023 |
1.213 9855 |
1.150 8060 |
69 |
70 |
1.286 5166 |
1.249 2791 |
1.214 4342 |
1.151 0752 |
70 |
71 |
1.287 2188 |
1.249 8252 |
1.214 8573 |
1.151 3266 |
71 |
72 |
1.287 8865 |
1.250 3424 |
1.215 2562 |
1.151 5613 |
72 |
73 |
1.288 5215 |
1.250 8319 |
1.215 6320 |
1.151 7806 |
73 |
74 |
1 .289 1254 |
1.251 2953 |
1.215 9863 |
1.151 9856 |
74 |
75 |
1.289 6997 |
1.251 7342 |
1.216 3203 |
1 .152 1770 |
75 |
76 |
1.290 2461 |
1.252 1498 |
1.216 6350 |
1.152 3558 |
76 |
77 |
1.290 7656 |
1.252 5433 |
1.216 9319 |
1.152 5228 |
77 |
78 |
1.291 2600 |
1.252 9161 |
1.217 21 17 |
1.152 6787 |
78 |
79 |
1.291 7301 |
1.253 2691 |
1.217 4754 |
1.152 8247 |
79 |
80 |
1.292 1776 |
1.253 6032 |
1.217 7242 |
1.152 9609 |
80 |
81 |
1.292 6033 |
1.253 9200 |
1.217 9588 |
1.153 0881 |
81 |
82 |
1 .293 0083 |
1.254 2200 |
1.218 1797 |
1.153 2070 |
82 |
83 |
1 .293 3937 |
1.254 5040 |
1.218 3«84 |
1.153 3181 |
83 |
84 |
1.293 7604 |
1.254 7732 |
1.218 5848 |
1.153 4218 |
84 |
85 |
1.294 1094 |
1.255 0280 |
1.218 7704 |
1.153 5188 |
85 |
86 |
1.294 4413 |
1.255 2696 |
1.218 9451 |
1.153 6094 |
86 |
87 |
1.294 7573 |
1.255 4984 |
1.219 1101 |
1.153 6941 |
87 |
88 |
1 .295 0581 |
1.255 7152 |
1.219 2656 |
1.153 7734 |
88 |
89 |
1.295 3444 |
1.255 9206 |
1.219 4121 |
1.153 8471 |
89 |
90 |
1.295 6168 |
1.256 1 149 |
1.219 5504 |
1.153 9163 |
90 |
91 |
1.295 8761 |
1.256 2993 |
1.219 6809 |
1.153 9809 |
91 |
92 |
1.296 1228 |
1.256 4740 |
1.219 8039 |
1.154 0412 |
92 |
93 |
1.296 3579 |
1.256 6395 |
1.219 9199 |
1.154 0976 |
93 |
94 |
1.296 5815 |
1 .256 7963 |
1.220 0293 |
1.154 1503 |
94 |
95 |
1.296 7943 |
1.256 9449 |
1.220 1323 |
1.154 1993 |
95 |
96 |
1.296 9969 |
1.257 0857 |
1.220 2297 |
1 .154 2454 |
96 |
97 |
1.297 1899 |
1.257 2190 |
1.220 3216 |
1.154 2885 |
97 |
98 |
1.297 3735 |
1.257 3454 |
1.220 4082 |
1.154 3287 |
98 |
99 |
1.297 5484 |
1.257 4652 |
1.220 4898 |
1.154 3661 |
99 |
100 |
1.297 7148 |
1.257 5787 |
1.220 5670 |
1.154 4011 |
100 |
i i
UNIVERSITY OF CALIFORNIA LIBRARY BERKELEY
Return to desk from which borrowed This bookis DUE on the last date stamped below.
^m IS 1S5^
MOV 13 1
f-
LD 21-100to-9,'48(B399s16)476
(^ ,'-;•
/y-^
X-
1 V^ V^ i >
45863U
-.•t .
Engineering ,*: .ibrary f.
UNIVERSITY OF CALIFORNIA LIBRARY
i;i
m :*
I § ^.^' f _ :
V i^f '* m
t I
i' # ;f .
1 ■*
1 "J
% 'M Mr
t i #■ •
# i
I m '^ ^^t ^ .-
i.,.#
# .:"
^:. ^^
/ § § |n # m' B- ^
^ ^'
^ f ^
#'^ r
# # # . #..J
p%; # i^
i^ ^.
?^ m ^:
.4^, ag' # # •.?#
-t^ a
!#' S S^^ ^
'#■ {*^ m
0l'' /m
^. ^.
^ M M __ «#'.
m i.
0 #' i^
■i'"#'"i',^ i 4. .
'i# i # #3..fe 'i'.^:.., i?^.
> '^ m. 'M 'iv '^?
t.'.i,:i.,.i'*:i.
*:■* >
¥'W'k
j^ ■«»
^^ m m m , 1.
i '*
1 f .%
^# •#■
t %.%
m <M
1.J ;^- y!^
^ # '^
m m
t:: «
ji ■ -^