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College   of    Commerce   and   Business  Administration 
University  of   Illinois  at  Urbana -Champaign 
August   14,    1980 


INCOME   MEASURES,    OWNERSHIP,    CAPACITY   RATIOS   AND   THE 
DIVIDEND  DECISION   OF   THE  NON-LIFE   INSURANCE    INDUSTRY: 
SOME   EMPIRICAL  EVIDENCE 

Cheng   F.    Lee,    Professor,    Department  of   Finance 
Stephen  W.    Forbes,    Life  Office  Management 
Association 


#699 


Summary 

Dividend  payout   ratio,    dividend  yield  for  non-life   insurance   industry 
are   studied   in  detail.      A  dividend  behavior  model    is   developed   for   the 
non-life   insurance   industry.      It   is   found   that    income  measures,    ownership 
and   capacity  ratio   are   important   factors   to   be   considered   in  doing   the 
above-mentioned   empirical   studies. 

Acknowledgment 

The  authors  gratefully  acknowledge  the  financial  support  of  the  S.S. 
Heubner  Foundation  for  Insurance  Education  of  the  University  of  Pennsylvania. 
We  also  acknowledge  the  assistance  of  Mr.  Dongsae  Cho,  and  the  editorial 
comments  of  J.  David  Cummins. 


The  dividend  policy  of  the  firm  is  important  for  several  reasons.  An 
understanding  of  the  factors  influencing  dividend  payments  contributes  to 
the  theory  of  corporate  savings.  Dividends  may  also  influence  the  price 
per  share  of  common  stock,  thus  dividend  behavior  is  of  interest  because 
it  affects  the  maximization  of  shareholder  wealth.   In  addition,  dividend 
policy  also  plays  a  direct  role  in  the  firm's  financing  and  investment 
decision. 

While  the  factors  influencing  the  dividend  policies  of  industrial 
firms  have  been  studied  in  some  detail  by  Lintner  [12],  Brittain  [2], 
Fama  and  Babiak  [5],  Dhrymes  and  Kurz  [4],  and  others,  theories  of  divi- 
dend behavior  have  not  been  as  extensively  developed  and  explored  for 
financial  firms.   The  purpose  of  this  research  is  to  study  the  dividend 
behavior  of  one  type  of  financial  intermediary,  the  non-life  insurance 
company,  to  test  whether  existing  dividend  behavioral  theories  are  ap- 
plicable to  the  non-life  insurance  firms. 

The  argument  is  based  upon  the  fact  that  the  financial  management 
principles  of  financial  institutions  are  not  necessarily  identical  to 
those  of  industrial  firms.   Specifically,  the  non-life  insurance  company 
deals  with  (1)  different  income  measures  which  affect  reported  earnings 
and  retained  earnings,  (2)  is  subject  to  a  unique  borrowing-lending  rate 
relationship,  and  (3)  has  an  asset  portfolio  comprised  primarily  of  se- 
curities of  industrial  firms.   In  addition,  most  insurance  stocks  are 
traded  over  the  counter  instead  of  NYSE.   If  the  dividend  practices  of 
these  firms  depart  from  those  anticipated  by  the  theories  used  to  explain 
the  dividend  behavior  of  industrial  firms,  this  is  of  interest  to  the 
understanding  of  the  financial  behavior  of  such  firms.   On  the  other  hand, 


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dividend  payment  patterns  which  follow  the  theoretical  anticipations  will 
tend  to  strengthen  them. 

Brittain  said  that  econometric  modeling  is  an  exercise  in  persuasion 
[3],   The  purpose  of  this  study  is  not  to  persuade  the  reader  as  to  the 
validity  of  a  particular  financial  theory  involving  dividend  behavior. 
Rather,  it  has  the  less  ambitious  but  useful  objective  of  ascertaining 
whether  non-life  insurance  companies  follow  widely  accepted  financial 
models  found  to  be  successful  in  describing  dividend  behavior. 

Certain  problems  are  somewhat  unique  to  the  non-life  insurance  in- 
dustry. They  include  the  following:   (1)  There  are  several  income  mea- 
sures that  may  be  used  as  the  basis  for  the  dividend  decision;  statutory 
or  generally  accepted  accounting  principle  earnings;  including  unrealized 
capital  gains  and  losses  or  excluding  them,  and  (2)  the  capital  and  sur- 
plus position  of  the  non-life  insurer,  as  a  measure  of  financial  capacity, 
may  influence  the  dividend  decision;  there  are  also  other  matters  par- 
ticular to  the  study  of  insurance  companies  which  include:   (1)  some 
non-life  insurers  pay  dividends  to  policyholders  as  well  as  shareholders, 
(2)  a  widespread  parent-subsidiary  relationship  found  in  the  non-life 
insurance  industry,  and  (3)  the  total  dividend  freeze  of  1971  and  partial 
freeze  of  1972  in  the  United  States.   These  factors  may  complicate  any 
study  of  non-life  insurance  company  dividend  behavior. 

Two  econometric  models  will  be  used  in  this  study.   First,  the  model 
developed  by  Lintner  [12]  and  Fama  and  Babiak  [5]  which  defines  current 
dividends  as  a  function  of  current  after-tax  profits  and  the  preceding 
year's  dividends  will  be  used  to  do  the  empirical  study.   The  rationale 
underlying  this  model  is  that  the  ability  to  pay,  as  measured  by  corporate 


-3- 

earnings,  should  have  a  great  influence  on  dividend  payments,  and  the 
prior  dividend  should  influence  the  current  dividend  to  the  extent  that 
dividend  stability  is  viewed  as  desirable.   Secondly,  the  seemingly  un- 
related regression  technique  [SUR]  developed  by  Zellner  [15]  will  be 
used  in  order  to  take  care  of  the  possible  simultaneous  relationship 
over  time. 

The  next  section  of  this  paper  presents  the  earnings  payout  ratios 
and  dividend  yields  for  61  non-life  insurers  during  1955-1975;  the  divi- 
dend decision  behavior  for  non-life  insurers  is  also  explored.   In  the 
second  section,  the  dividend  behavior  models  used  in  research  involving 
industrial  firms  are  specified  and  modified  in  order  to  describe  the 
dividend  behavior  of  non-life  insurance  companies.   The  possible  impli- 
cations arising  from  the  empirical  results  are  justified  in  accordance 
with  the  nature  of  insurance  accounting  procedures  and  financial  opera- 
tions.  In  the  third  section,  the  SUR  technique  is  used  in  order  to  in- 
vestigate the  possible  simultaneous  relationship  among  the  factors  pre- 
sented in  the  model  described  in  the  second  section.  Aggregate  dividend 
behavior  is  also  examined  in  this  section.   The  final  section  of  the  paper 
summarizes  the  implications  of  the  empirical  results  for  financial  theory 
as  it  relates  to  the  non-life  insurance  industry. 

I.   THE  DIVIDEND  YIELD  AND  EARNINGS  PAYOUT 
RATIO  AND  DIVIDEND  DECISION  BEHAVIOR 

Information  regarding  the  dividend  yields  and  the  earnings  payout 
ratios  for  non-life  insurers  is  of  interest  to  both  investors  and  finan- 
cial managers.   Theoretically,  the  magnitude  of  the  earnings  payout  ratio 
for  a  firm  is  jointly  determined  by  its  investment  opportunities  and  its 
shareholders'  preferences.   This  decision  is  complicated  in  the  situation 


-4- 

of  a  non-life  insurer  by  the  payment  of  policyholder  dividends.   The 
nature  of  policyholder  dividends  are  not  necessarily  identical  to  those 
of  equity  holder  dividends.  This  is  due  to  the  fact  policyholders  are 
not  necessarily  owners  of  non-life  insurance  companies. 

If  a  firm  has  an  investment  opportunity  with  a  return  exceeding  its 
cost  of  capital,  and  the  internal  sources  of  funds  are  cheaper  than  the 
external  sources,  then  a  financial  manager  will  generally  reduce  his  firm's 
earnings  payout  ratio. 

In  relation  to  external  financing,  stock  non-life  insurers  are  limited 
to  the  following  alternatives:   (1)  mergers  and  acquisitions  involving 
other  insurance  companies,  (2)  new  stock  issues,  (3)  contributions  from 
a  parent  insurer  or  holding  company,  and/or  (4)  borrowing  of  funds  for  gen- 
eral business  purposes  (the  latter  by  Section  76,  New  York  Insurance  Code, 
amendment  effective  September  1,  1969). 

In  the  situation  of  a  merger,  one  of  the  insurers  loses  its  identity 
and  the  surviving  company  absorbs  all  of  its  assets,  liabilities,  and 
legal  rights.   The  shareholders  of  the  merged  insurer  usually  retain  a 
financial  interest  in  the  new  firm  consistent  with  their  interest  in  the 
acquired  firm.   The  acquisition  may  involve  either  the  use  of  cash  or  a 
tax-free  exchange  of  shares. 

A  stock  non-life  insurer  can  also  acquire  a  subsidiary  insurer  by 
gaining  ownership  of  more  than  50  percent  of  its  voting  stock  using  either 
cash  or  an  exchange  of  securities.   As  a  practical  matter,  Forbes  [7] 
found  that  non-life  insurers  usually  use  exchanges  of  stock  in  acquiring 
subsidiaries  because  of  the  attractiveness  of  this  approach  from  tax  and 
liquidity  standpoints.   Forbes  also  found  that  new  stock  issues  are  a 


-5- 

relatively  unimportant  form  of  non-life  insurance  external  financing, 
comprising  slightly  more  than  5  percent  of  the  total  financing  volume 
during  the  1955-66  period  studied  [7]. 

The  advantages  of  external  financing  involving  contributions  from 
a  parent  insurer  or  holding  company  are  its  simplicity  and  the  lack  of 
substantial  transactions  costs.   The  borrowing  of  funds  for  general 
business  purposes  is  a  relatively  new  external  financing  option  in  the 
non-life  insurance  industry  which  has  not  been  explored  at  length  in 
the  financial  literature  except  for  Nye  [13]. 

Forbes  found  in  another  study  [8]  that  new  money  flowing  into  the 
non-life  insurance  industry  played  a  minor  role  in  the  industry's  capital 
and  surplus  growth  during  1956-70.   Given  this  behavior,  the  conservation 
of  capital  and  surplus  would  appear  to  be  a  primary  non-life  insurance 
company  objective  in  the  typical  situation.   Inasmuch  as  dividend  policy 
provides  one  of  the  important  mechanisms  for  controlling  the  level  of 
retained  earnings,  one  would  expect  dividend  policies  of  non-life  insur- 
ance companies  to  be  geared  to  the  insurer's  capital  and  surplus  require- 
ments.  Empirical  results  reported  later  in  this  study  suggest  a  direct 
relationship  between  dividend  policies  and  capital  and  surplus  adjust- 
ments in  this  industry. 

Haugen  and  Kroncke  [10]  have  argued  that  policyholder  funds  also 
represent  a  source  of  external  financing  to  the  non-life  insurance  in- 
dustry.  Other  things  remaining  equal,  an  increase  in  the  ratio  of  an 
insurer's  unearned  premium  and  loss  ar.d  loss  adjustment  expense  reserves 
to  its  capital  and  surplus  will  affect  the  risk/return  relationships  in- 
volving its  shareholders.   However,  this  interesting  problem  is  not 
studied  in  this  paper. 


-6- 

Data  associated  with  four  different  income  measures  and  the  divi- 
dends for  61  firms  (see  Appendix  A)  during  1955-75  are  used  in  order  to 
analyze  the  earnings  payout  behavior  for  the  non-life  insurance  industry. 
The  stratified  random  sampling  technique  is  used  to  select  the  sample 
insurers.   Three  strata  represent  three  alternative  ownerships  (see  the 
discussion  in  this  section  and  Appendix  A).   The  insurers  were  selected 
at  random  from  the  population  of  firms  in  Best's  Property  Liability  (for- 
merly Best's  Fire  and  Casualty)  Insurance  Reports  having  complete  series 
of  1955-1975  financial  data.   The  stock  price  data  were  taken  from  the 

Bank  Quotation  Record.   The  four  different  methods  of  calculating  the  net 

2 
income  of  a  non-life  insurer  involve  the  following: 

(A)  earnings  without  the  amortization  of  underwriting  expenses 
and  without  unrealized  capital  gains  and  losses 

(B)  earnings  without  the  amortization  of  underwriting  expenses 
and  with  unrealized  capital  gains  and  losses 

(C)  earnings  involving  the  amortization  of  underwriting  ex- 
penses without  unrealized  capital  gains  and  losses 

(D)  earnings  involving  the  amortization  of  underwriting  ex- 
penses with  unrealized  capital  gains  and  losses 

Under  the  accounting  procedures  used  to  measure  (A)  and  (B),  the 
first  year  acquisition  costs  for  insurance  policies  are  written  off  imme- 
diately against  earnings  without  proper  allocation  to  the  periods  in 
which  the  associated  premiums  are  earned.   This  method  is  required  under 
statutory  accounting.   It  is  also  the  method  of  accounting  used  in  fed- 
eral income  tax  calculations. 

In  the  situation  of  an  insurer  with  an  expanding  premium  volume, 
this  accounting  technique  usually  understates  profits  (overstates  losses) 
and  understates  capital  and  surplus.   This  is  viewed  by  regulators  as 


-7- 

desirable  because  the  resulting  excess  valuation  in  the  unearned  premium 
reserve  (UPR)  may  provide  additional  surplus  if  the  insurer  encounters 
financial  difficulty  (there  will  be  no  excess  valuation  of  course  if 
all  of  the  UPR  is  required  for  the  payment  of  losses  and  loss  adjustment 
expenses).   The  lack  of  underwriting  expense  amortization  under  statutory 
accounting  also  tends  to  make  insurers  more  cautious  in  obtaining  new 
business  since  there  are  large  surplus  reductions  if  premium  expansion 
is  too  rapid. 

Income  measures  (C)  and  (D)  involve  the  proper  amortization  of 
underwriting  expenses.   This  is  accomplished  by  adding  to  earnings  the 
after-tax  prepaid  expense  involving  the  increase  in  the  unearned  premium 
for  the  period.   The  increase  in  the  UPR  is  multiplied  by  (l-x)E  ,  where 
t  is  the  marginal  federal  income  tax  rate  for  the  year  and  E  equals  the 
ratio  of  underwriting  expenses  to  net  written  premiums. 

The  other  adjustment  in  the  paper  involves  the  inclusion  of  un- 
realized capital  gains  and  losses  in  income  measures  (B)  and  (D).   This 
"flow-through"  approach  to  measuring  earnings  eliminates  the  potential 
for  earnings  manipulation  through  the  selective  taking  of  realized  capital 
gains  or  losses  (usually  involving  the  taking  of  realized  capital  gains 
in  order  to  improve  poor  results).   The  primary  argument  against  including 
unrealized  capital  gains  and  losses  in  earnings  is  the  "realization 
principle".  Under  this  principle,  it  is  argued  that  only  realized  income 
and  loss  items  should  be  included  in  the  income  statement  [1]. 

The  American  Institute  of  Certified  Public  Accountanzs  has  not 
taken  a  clear  position  on  the  treatment  of  unrealized  capital  gains  and 
losses  in  insurance  company  earnings.   Most  insurers  take  such  a  gain  or 


-8- 

loss  as  a  direct  credit  or  charge,  respectively,  to  surplus  rather  than 
a  "flow-through"  to  earnings.   The  "flow- thro ugh"  approach  to  earnings 
measurement  does  not  give  an  insurer  an  incentive  to  take  realized  capi- 
tal gains  in  order  to  disguise  bad  performance.   Thus,  on  an  a  priori 
basis,  one  would  expect  earnings  measures  (B)  and  (D)  to  be  more  closely 
associated  with  dividend  decisions  than  measures  (A)  and  (C),  other 
things  remaining  equal. 

As  a  negative  net  income  for  an  individual  insurer  in  a  particular 
year  is  not  unusual,  a  time  aggregate  earnings  payout  ratio  is  calculated 
for  each  firm  over  the  21  year  period.   The  resulting  61  payout  ratios 
for  the  21  years  are  listed  in  Table  1. 

During  1955-75,  the  ownership  arrangement  for  these  insurers  can  be 
classified  as  (i)  majority  of  common  stock  never  held  by  a  single  entity 
during  the  period,  (ii)  majority  of  common  stock  acquired  by  a  single 

entity  sometime  during  the  period,  and  (iii)  majority  of  common  stock 

3 
held  by  a  single  entity  throughout  the  period  (see  Appendix  A).   One 

would  expect  that  the  earnings  payout  policies  of  insurers  having  widely 
held  common  stock  under  ownership  arrangement  (i)  would  most  closely 
follow  (or  fit)  the  models  found  successful  in  describing  dividend  be- 
havior in  other  industries.   This  is  because  the  shareholders  of  these 
insurers  have  the  same  objectives  as  other  investors  in  widely  held 
equities.   On  the  other  hand,  the  dividend  policies  of  wholly  owned  sub- 
sidiaries under  ownership  arrangement  (iii)  would  be  determined  by  the 
managerial  discretions  of  the  parent  insurers  or  holding  companies. 
Dividends  may  be  declared  in  these  situations  in  order  to  reduce  per- 
ceived excess  surpluses  in  the  subsidiaries.   Sometimes  subsidiaries  are 


-9- 

acquired  or  holding  companies  are  formed  for  the  express  purpose  of  trans- 
ferring surplus  from  relatively  unprofitable  insurance  operations  to  other 
activities.   The  dividend  policies  of  the  insurers  in  group  (ii)  would  be 
expected  to  vary  depending  upon  the  individual  circumstances  surrounding 
each  acquisition. 

The  analysis  of  variance  technique  is  used  to  test  whether  significant 
differences  arise  among  the  earnings  payout  ratios  for  these  three  groups. 
It  is  found  that  the  average  earnings  payout  ratios  are  significantly  dif- 
ferent among  the  three  groups  with  a  5  percent  level  of  significance  if 
the  (A)  or  the  (B)  net  income  definition  is  used.   Furthermore  when  either 
the  (A)  or  (B)  income  definition  is  used,  the  average  earnings  payout  ratio 
is  higher  than  50  percent.   This  figure  is  close  to  the  earnings  payout 
ratio  of  the  electric  utility  industry  as  indicated  in  Lee  [11].   Empirical 
studies  related  to  this  issue  and  the  possible  implications  of  a  high  earn- 
ings payout  ratio  on  the  cost  of  equity  capital  will  be  done  in  separate 
research. 

As  only  a  portion  of  the  firms  listed  in  Appendix  A  had  actively 
traded  common  stock  during  1955-75,  the  dividend  yield  results  are  based 
upon  a  subset  of  these  insurers.   The  annual  average  shareholder  dividend 
yields  calculated  for  these  insurers  are  listed  in  Table  2.   The  analysis 
of  variance  technique  is  used  to  test  whether  the  dividend  yield  for  the 
non-life  insurance  companies  changed  over  the  25  year  period  studied. 

It  is  found  from  Table  2  that  the  shareholder  dividend  yields  among 
the  years  are  significantly  different  at  a  one  percent  level  of  signifi- 
cance. The  average  dividend  yield  for  the  21  years  studied  is  3.38  per- 
cent.  This  fluctuation  is  related  to  business  cycles  and  economic 


-10- 

conditions.   The  average  dividend  yields  for  1974  and  1975  are  5.57  and 
6.03  percent,  respectively.   These  figures  are  as  high  as  the  time  de- 
posit interest  rates  in  these  respective  years.   This  information  sug- 
gests that  non-life  insurance  companies'  stock  dividend  yields  are 
similar  to  those  found  for  low  risk  investments. 

The  results  of  this  section  give  both  investors  and  decision  makers 
some  cross-sectional  and  time  series  information  about  the  earnings  pay- 
out ratios  and  dividend  yields  of  non-life  insurers. 

II.   DIVIDEND  FORECASTING  MODEL  FOR  THE 
NON-LIFE  INSURANCE  INDUSTRY 

Lintner  [12]  has  used  the  partial  adjustment  assumption  in  order  to 

derive  a  dividend  forecasting  model  for  an  industrial  firm.   This  model 

takes  the  following  form: 

AD,  =  y(D  *  -  D„  .)  (1) 


where, 


and, 


t   ' v  t     t-1' 


Dt*  =  6  Et  (2) 


D  =  actual  total  cash  dividend  payment  in  period  t 

* 

D   =  desired  total  cash  dividend  payment  in  period  t 

D  ..  =  actual  total  dividend  payment  in  period  t-1 
E  =  total  earnings  in  period  t 


Y  =  partial  adjustment  coefficient 
6  =  target  earnings  payout  ratio 


-11- 

Af ter  substituting  (2)  into  (1) ,  we  can  formulate  the  following  al- 
ternative time  series  regression  models  in  order  to  describe  an  individual 
firm's  dividend  behavior  over  time: 

Dt  =  Ao  +  *l"t  +  Vt-1  +  Elt  (3) 

Dt  =  BlEt  +  B2Dt-l  +  £2t  (4) 

where  A.  =  B-  =  3y  and  A„  =  B„  =  1-y;  A  is  the  intercept;  and  both 

e..   and  e„  are  disturbance  terms  for  the  regressions.   To  accommodate 

the  two  special  circumstances  we  have  encountered  in  this  study  (full  and 

partial  dividend  freezes  and  capital  and  surplus  capacity  considerations), 

equation  (3)  is  modified  as 

CS 
Dt  =  ao  +  alXt  +  a2Et  +  a3Dt-l  +  a4  AlT  +  £t  (5) 

where, 

=  0   for  1955-70 

Xt 

=1   for  1971-75 

as  dummy  variables 

and,      CS 

77—  =  capacity  ratio 

t 

where, 

CS   =  capital  and  surplus  at  the  end  of  the  period  = 

capital  stock,  plus  paid  in  surplus,  plus  retained 
earnings 

AA  =  admitted  assets  at  the  end  of  the  period 

The  change  in  a  non-life  insurer's  capital  and  surplus  is  explained 

by  the  following: 


ACS  =I+U-D+F+M 


-12- 


where, 

I  =  net  income  or  loss  after  taxes  [the  sum  of  the  statutory 
underwriting  gain  (loss) ,  net  realized  capital  gain  (loss) , 
interest,  dividends,  and  rents,  reduced  by  net  loss  from 
agents'  premium  balances  charged  off,  and  adjusted  for  the 
federal  and  foreign  income  tax  liability  (rebate)] 

U  =  unrealized  capital  gain  (loss) 

D  =  dividends  declared  to  shareholders  and/or  policyholders 

F  =  external  financing 

M  =  miscellaneous  adjustments  (the  sum  of  the  change  in  the 
excess  of  bodily  injury  liability  and  compensation  statu- 
tory and  voluntary  reserve  over  the  case  basis  and  loss 
expense  reserve,  change  in  nonadmitted  assets,  change  in 
liability  for  unauthorized  reinsurance,  change  in  foreign 
exchange  adjustment,  and  net  remittances  to  or  from  the 
home  office).   Nonadmitted  assets  include  furniture  and 
office  equipment,  unpaid  balances  over  90  days  late,  and 
other  items  considered  to  be  lacking  in  liquidity  under 
statutory  accounting. 

From  the  above  model,  it  can  be  seen  that  an  insurer  needs  to 
retain  capital  and  surplus  in  order  to  absorb  (1)  net  losses  from 
operations  (defined  by  I),  (2)  unrealized  capital  losses,  and  (3)  mis- 
cellaneous adjustments  (defined  by  M) .   Generally,  items  (1)  and  (2) 
will  cause  the  greatest  surplus  fluctuations  in  a  given  accounting 
period.  Net  losses  from  operations  may  be  compounded  by  the  upward 
adjustment  of  inadequate  loss  and  loss  adjustment  expense  reserves 
arising  from  claims  incurred  in  prior  years.   These  adjustments  can 
be  especially  large  during  periods  of  rapid  inflation. 

The  model  indicates  that  the  adjustment  of  dividends  is  one  of 
the  most  realistic  alternatives  in  attempting  to  conserve  capital  and 
surplus  in  the  typical  situation.   This  is  because  the  raising  of  exter- 
nal financing  through  new  equity  issues  involves  a  transactions  cost, 


-13- 

uncertain  proceeds  (especially  in  volatile  stock  markets) ,  and  is  time 
consuming  as  well  as  troublesome  to  management.   Empirical  data  indicate 
that  new  equity  issues  have  not  been  an  important  form  of  external 
financing  in  the  non-life  insurance  industry  [7].   External  financing 
involving  mergers  and  acquisitions  is  not  motivated  by  the  need  to  con- 
serve surplus  as  it  does  not  affect  the  CS  /AA  ratio  in  most  situations. 
Contributions  of  surplus  from  parent  insurers  or  holding  companies,  or 
the  borrowing  of  funds,  have  not  been  common  external  financing  practices. 
Thus,  dividend  policy  is  the  only  decision  variable  left. 

It  is  also  relevant  to  note  the  CS  /AA  ratios  fluctuate  widely 
from  period  to  period  for  a  given  insurer  because  of  the  impact  of  un- 
realized capital  gains  and  losses  involving  common  stock  portfolios  and 
fluctuating  underwriting  results  (see  Forbes  [8]).   Thus  a  non-life 
insurer  does  not  have  time  to  consider  external  financing  as  a  means  of 
stabilizing  capital  and  surplus  in  the  usual  situation.   The  adjustment 
of  dividends  is  a  more  direct  and  immediate  method  of  correcting  capital 
and  surplus  deficiencies.  As  an  alternative  hypothesis,  it  might  be 
argued  that  rapidly  changing  capital  and  surplus  positions  would  make  a 
non-life  insurer  more  cautious  in  its  earnings  payout  policies.   These 
issues  are  explored  by  including  the  CS  /AA  ratio  in  equation  (5). 

In  Table  2,  we  have  calculated  the  average  capacity  ratios  for  78  in- 
surers for  each  of  the  years  studied.   Observation  of  the  Table  will  in- 
dicate that  the  average  capacity  ratio  for  the  non-life  insurance  industry 
fluctuates  over  time.   This  fluctuation  may  result  from  changes  in  the 
value  of  insurance  company  equity  portfolios  and/or  variations  in  under- 
writing results.   In  addition,  the  coefficients  of  variation  associated 


-14- 

with  the  average  capacity  ratios  in  Table  3a  suggest  wide  variations 
in  capacity  ratios  among  the  insurers  for  each  year. 

Table  3a  presents  a  frequency  distribution  of  the  temporal  coeffi- 
cients of  variation  for  the  capacity  ratios  of  the  78  insurers.   It  should 
be  noted  that  73  percent  of  the  coefficients  in  the  Table  fall  within  a 
range  of  .1  to  .3. 

Table  3b  shows  the  percentage  distribution  of  the  average  1955-75 
capacity  ratios  for  the  78  insurers.  Approximately  64  percent  of  the 
insurers  had  average  capacity  ratios  within  the  range  of  .3  to  .5. 

The  empirical  results  based  upon  this  specification  for  61  non-life 
insurers  during  1955-75  are  reported  in  Table  4.   From  the  t-values  asso- 
ciated with  the  regression  coefficients  of  the  dummy  variable  (a.. ) ,  it  is 
found  that  15  out  of  61  firms  appeared  to  change  their  dividend  payment 
behavior  because  of  the  dividend  freeze.   Similarly,  from  the  t-values 
associated  with  the  regression  coefficients  of  the  capacity  variable  (a,), 
only  17  of  the  61  firms  had  an  a,  coefficient  significantly  different 
from  zero.   This  implies  that  most  of  the  insurers'  dividend  decisions  were 
not  affected  by  a  change  in  the  capacity  variable.   This  may  be  due  to  the 
fact  that  a  change  in  retained  earnings  is  only  one  of  two  alternatives 
for  adjusting  the  capacity  ratio.   In  general,  a  non-life  insurance  company 
can  also  issue  new  equity  in  order  to  raise  its  capacity  ratio.   It  should 
also  be  noted  that  four  alternative  earnings  definitions  are  used  to  fit 
equation  (5) .   These  empirical  results  in  terms  of  income  measure  (A)  are 
reported  in  Table  4.   The  overall  results  are  relatively  independent  of 
the  different  income  definitions  used. 


-15- 


One  of  the  main  purposes  of  equation  (5)  is  to  forecast  a  firm's 

future  dividend  payment.   The  adjusted  coefficient  of  determination 

—2 
(R  )  provides  an  indication  of  a  regression  equation's  statistical 

—2 
fit  to  historical  data.   Based  upon  Table  4,  it  is  found  that  the  R 

—2 
ranges  from  .0209  to  .9845.  The  frequency  distribution  of  R  for  these 

61  firms  indicated  that  more  than  90  percent  of  these  firms'  dividend 

—2 
behaviors  can  be  described  by  equation  (5).   Furthermore,  the  R  are 

classified  according  to  the  ownership  arrangements  (i) ,  (ii) ,  and  (iii) 

defined  above.   From  the  analysis  of  variance  results  indicated  in  Table 

—2 
5  it  is  found  that  significant  differences  exist  for  the  R  among  these 

three  groups.   The  implication  arising  from  these  results  is  that  the 

ownership  arrangement  has  an  impact  upon  the  dividend  payment  behavior 

of  a  non-life  insurer.   This  follows  the  expectations  discussed  earlier 

—2 
in  the  paper.  Other  possible  explanations  for  the  low  R  include  the 

presence  of  negative  earnings  in  some  of  the  years  studied  for  a  partic- 
ular insurer  and  policyowner  dividends.  The  percentages  of  policyowner 
dividends  to  total  dividends  are  listed  in  Table  6. 

The  estimated  partial  adjustment  coefficient  y   and  the  percentage  of 
optimal  dividend  related  to  current  earnings  are  of  interest  to  both 
investors  and  financial  managers  in  the  non-life  insurance  industry. 
Based  upon  Table  4,  the  average  y   is  .53  and  average  (B  is  .268.   These 
imply  that  the  partial  adjustment  coefficient  is  .53  and  the  average 
target  payout  ratio  is  26.8  percent.   The  estimated  y   of  .53  also  im- 
plies that  it  takes  non-life  insurance  firms  an  average  of  about  2  years 
to  adjust  their  dividend  payments  to  desirable  levels. 


-16- 

Fama  and  Babiak  [6]  have  shown  that  Lintner's  [12]  model  without  the 

constant  term  has  the  greatest  forecasting  power.   Therefore,  equation  (5) 

without  a  and  a.  is  also  calculated  for  the  61  firms.   It  is  found  that 
o      4 

—2 
the  R  associated  with  Lintner's  model  without  the  constant  term  are  gen- 
erally lower  than  with  the  constant  term.  This  is  due  to  the  fact  that  the 
capacity  ratio  is  important  for  17  firms. 

III.   SUR  AND  AGGREGATE  BEHAVIOR  FOR  SHAREHOLDER  DIVIDENDS 
In  the  final  section  of  the  paper,  a  pooled  time  series  and  cross 
sectional  simultaneous  equation  model  will  be  constructed  using  the 
following  extensions  of  equation  (3),  above: 


Dti  "  *i  +  W  +  cl(D(t-l)l> 


Dt2  =  A2  +  VEt2>  +  C2(D(t-l)2)  (6) 


D_   =  A  +  B  (E„  )  +  C  (D.   ..  ) 
tn    n    n  tn     n   (t-l)n 

where  the  equations  are  generated  for  each  year  and  the  subscripts  l...n 
refer  to  each  of  the  insurers  studied. 

Zellner's  [15]  seemingly  unrelated  regression  method  is  now  used 
to  simultaneously  estimate  these  equation  systems.  The  strength  of  this 
method  rests  in  its  ability  to  consider  the  effects  of  both  time  and  firm 
behavior  upon  dividend  policy. 

We  would  anticipate  that  dividend  behavior  would  vary  by  the 
ownership  arrangement  of  the  insurer.   Based  upon  the  ownership  arrange- 
ment the  OLS  residuals  associated  with  the  shareholder  dividend  behavior 


Total  Insurers 

.73 

Group  i 

.92 

Group  ii 

.69 

Group  iii 

.62 

-17- 

equation  are  used  to  estimate  three  variance-covariance  matrices  and 
three  correlation  coefficient  matrices.   It  is  found  that  the  relation- 
ships among  OLS  residuals  within  each  group  are  relatively  strong.   This 
implies  that  Zellner's  SUR  method  can  be  used  to  improve  the  efficiency 

of  the  estimated  shareholder  dividend  behavior  relationship. 

-2 
The  R  values  under  the  regressions  without  policyholder  dividends 

-2 
are  generally  lower  than  the  R  values  for  the  total  dividends  presented 

in  the  third  section  of  the  paper.   This  is  demonstrated  by  the  following: 

-2  -2 

R  for  Total  Dividends    R  for  Shareholder  Dividends 

.64 
.89 
.50 
.60 

These  results  imply  that  the  earnings  payout  decision  is  made  on 
the  basis  of  total  policyholder  and  shareholder  dividends  rather  than 
considering  these  dividends  separately.   It  is  also  found  that  SUR  pro- 
vides a  more  accurate  estimation  of  the  regression  coefficients  than 
the  OLS  method. 

Overall,  we  found  that  the  prior  dividend  was  the  most  important 
variable  explaining  the  level  of  current  shareholder  dividends  under  the 
SUR  technique.   This  variable  was  significant  at  the  5  percent  level  for 
100,  68  and  63  percent  of  the  group  i,  ii,  and  iii  insurers  respectively. 
Next,  the  capacity  ratio  was  found  to  be  important  in  explaining  share- 
holder dividends  for  53,  44,  and  44  percent  of  the  group  i,  ii,  and  iii 
insurers,  respectively.   Similar  percentages  for  current  earnings  were 
59,  32,  and  50  percent  respectively. 


-18- 

The  aggregated  results  for  the  equation  (5)  regression  without  the 
dummy  variable  presented  differ  significantly  from  the  disaggregated 
results.   This  may  be  due  to  aggregation  bias  and/or  the  equal  weighting 
procedure  in  the  individual  company  case.  Also  the  correlation  coeffi- 
cient between  the  lagged  dividend  and  the  capacity  ratio  approximated  a 
negative  .8. 

IV.   SUMMARY  AND  CONCLUDING  REMARKS 

We  have  examined  the  shareholder  and  policyholder  dividend  policies 
of  a  large  sample  of  non-life  insurers  over  1955-75  in  terms  of  some 
widely  accepted  financial  models.   These  models  were  applied  using  four 
definitions  of  income  and  three  insurer  ownership  groups.  Adjustments 
were  also  made  for  capacity  ratios  and  the  partial  and  complete  dividend 
freezes  in  the  early  1970 's. 

We  found  based  upon  a  count  of  the  significant  t-values  for  the  a„ 
coefficient  in  Table  4a  for  each  earnings  measure,  that  unrealized  cap- 
ital gains  and  losses  were  viewed  as  a  transitory  non-life  insurance  in- 
come component  in  the  earnings  payout  decision.   This  probably  follows 
from  the  widely  accepted  accounting  practice  of  treating  unrealized  re- 
sults as  a  surplus  adjustment  rather  than  an  income  component.   In  ad- 
dition, we  found  that  the  total  average  earnings  payout  ratio  was  higher 
than  50  percent  for  statutory  income  definitions.  The  average  share- 
holder dividend  yield  for  all  of  insurers  for  1955-75  was  3.38  percent. 
However,  this  yield  fluctuated  widely  over  time.   This  was  the  result 
of  non-life  insurance  common  stock  prices  tending  to  move  in  concert 
with  the  overall  market  during  this  period. 


-19- 

Lintner's  dividend  forecasting  model  was  modified  and  applied  to 
the  non-life  insurance  company  sample.  Regressions  were  run  for  both 
total  policyholder  and  shareholder  dividends  and  the  shareholder  divi- 
dends alone.  On  an  overall  basis,  the  ranking  of  the  explanatory  power 
of  the  regressors  was  (1)  the  prior  year's  dividend,  (2)  the  current 

earnings,  and  (3)  the  capacity  ratio.  We  also  found  a  significant  dif- 

-2 
ference  in  the  R  among  the  three  ownership  groups.   It  was  also 

determined  that  it  takes  approximately  two  years  for  non-life  insurers 

to  adjust  their  total  earnings  payouts  to  desired  target  levels  using 

Lintner's  formulation.   The  dummy  variable  for  the  partial  and  total 

dividend  freeze  was  also  tested  and  found  not  to  be  important  for  the 

great  majority  of  insurers. 

The  cross-sectional  and  temporal  average  capacity  ratios  and 
their  coefficients  of  variation  were  calculated  for  the  sample  non-life 
insurers.  Over  50  percent  of  the  insurers  had  average  1955-75  capacity 
ratios  ranging  from  .3  to  .5.  Wide  variations  in  the  temporal  coeffi- 
cients of  variation  in  the  capacity  ratios  of  the  individual  insurers 
were  found.   This  resulted  from  different  compositions  of  underwriting 
and  investment  portfolios  and  varying  premiums  written/ capital  and 
surplus  ratios  among  the  insurers. 

The  SUR  is  superior  to  the  OLS  regression  method  if  the  OLS  resi- 
duals among  the  firms  within  the  group  are  correlated.  We  found  that 
the  SUR  technique  was  superior  to  the  OLS  in  estimating  the  dividend 
determination  behavior  relationships  for  each  of  the  three  ownership 
groups.   This  implies  that  there  was  some  behavioral  similarity  in  each 
of  these  groups.   The  SUR  findings  were  otherwise  consistent  with  the 
other  findings  in  the  paper. 


-20- 

The  capacity  ratio  dominated  the  aggregate  dividend  determination 
model.  This  result  was  at  variance  with  the  other  results  reported  in 
the  paper.   This  may  be  due  to  aggregation  bias. 

The  purpose  of  this  research  is  to  show  how  the  finance  theory  and 
technique  used  in  the  industrial  firms  can  be  used  to  do  dividend  deci- 
sion of  non-life  insurance  industry.   The  complication  of  dividend  de- 
cision for  the  non-life  insurance  industry  relative  to  that  of  indus- 
trial firms  is  the  interaction  relationships  among  different  income 
measure,  ownership  and  capacity  ratio  and  alternative  definition  of 
dividend  decision  as  is  dictated  in  Figure  1.   From  the  theoretical 
analysis  and  empirical  investigation  of  this  paper  it  is  found  that 
dividend  decision  rules  used  in  the  industrial  firms  can  generally  be 
used  to  help  the  dividend  decision  for  non-life  financial  managers. 
However,  the  unique  nature  of  the  definitions  and  interaction  relation- 
ship of  non-life  insurance  industries  (see  Figure  1).   Some  modifica- 
tion of  the  dividend  behavior  decision  model  for  industrial  firms  may 
well  be  beneficial  from  the  viewpoints  of  corporate  finance  theory 
and  practices. 


-21- 

Footnotes 

Other  possible  mechanisms  for  controlling  the  level  of  retained 
earnings  are:  (1)  decrease  premiums  written,  and  (2)  reinsurance  for 
all  or  portion  of  the  existing  portfolio. 

2 
Foster  [6]  has  investigated  the  impacts  of  these  four  alterna- 
tive earnings  on  the  market  value  of  property-liability  companies.  One 
of  the  referees  has  argued  that  the  use  of  statutory  earnings  as  a 
dividend  decision  factor  is  unrealistic  since  management  would  recog- 
nize the  need  to  adjust  earnings  before  such  a  decision  was  made. 
However,  alternative  earning  measures  have  different  implications  on 
the  earnings  power  of  a  non-life  insurance  firm.   Therefore,  different 
income  measures  should  lead  to  a  difference  in  valuation  approach  for 
non-life  insurance  companies  as  discussed  by  Foster  [6]. 

3 
It  would  be  interesting  to  see  the  effect,  if  any,  upon  dividend 

policy  of  a  change  in  the  common  stock  ownership  of  the  firm.   This  will 

be  a  subject  for  future  research. 

4 
The  "follow"  or  "fit"  implies  that  the  power  of  forecasting  the  div- 
idends payment  over  time.   The  specific  formulation  and  test  of  these 
arguments  are  the  adjusted  coefficient  of  determination  as  defined  in 
the  following  section. 

The  measurement  of  the  capacity  ratio  used  in  this  paper  does  not 
take  into  account  the  portfolio  characteristics  of  the  sample  firm's 
assets  and  liabilities.   See  Stone  [15]  for  detail.   The  authors  are 
grateful  to  one  of  the  referees  for  supplying  these  helpful  comments. 


M/E/66 


-22- 


REFERENCES 


1 .  AICPA  Insurance  Auditing  Tasks  Force  Discussion  Memorandum,  Accounting 
for  Property  and  Liability  Insurance  Companies  (New  York:  American 
Institute  for  Certified  Public  Accountants,  November  26,  1975). 

2.  Brittain,  J.  A.   "The  Tax  Structure  and  Corporate  Dividend  Policy," 
American  Economic  Review,  (May,  1964),  pp.  272-87. 

3.  Brittain,  J.  A.   Corporate  Dividend  Policy,  (Washington:   The  Brookings 
Institution,  1966). 

4.  Dhrymes,  P.  and  M.  Kurz.   "Investment,  Dividends,  and  External  Finance 
Behavior  of  Firms,"  in  R.  Ferber,  ed. ,  Determinants  of  Investment  Be- 
havior, New  York,  1967. 

5.  Fama,  E.  F.  and  H.  Babiak.   "Dividend  Policy:  An  Empirical  Analysis," 
J.  American  Statist.  Assn.,  Dec.  1968,  pp.  63,  1132-61. 

6.  Foster,  F.   "Valuation  Parameters  of  Properties-Liability  Companies," 
The  Journal  of  Finance  (June  1977),  pp.  823-35. 

7.  Forbes,  S.  W.   "Growth  Performances  of  Non-Life  Insurance  Companies," 
The  Journal  of  Risk  and  Insurance  (September,  1970),  pp.  341-60. 

8.  ,   "Profitability  in  the  Non-Life  Insurance  Industry:   1955- 

74"  CPCU  Annals  (June,  1977),  pp.  126-34. 

9.  Gordon,  M.  J.   "Dividends,  Earnings,  and  Stock  Prices,"  Review  of 
Economics  and  Statistics,  (1959),  pp.  99-105. 

10.  Haugen,  R.  A.  and  Kroncke,  C.  0.   "Rate  Regulation  and  the  Cost  of 
Capital  in  the  Insurance  Industry"  Journal  of  Financial  and  Quanti- 
tative Analysis  (December,  1971),  pp.  1283-1305. 

11.  Lee,  Cheng  F.   "Functional  Form  and  the  Dividend  Effect  in  the  Electric 
Utility  Industry,"  Journal  of  Finance,  (December,  1976),  pp.  1481-86. 

12.  Lintner,  J.   "Distribution  of  Incomes  Among  Dividends,  Retained  Earn- 
ings and  Taxes,"  American  Economic  Review,  (May,  1956),  pp.  97-113. 

13.  Nye,  D.  J.  A  Simulation  Analysis  of  Capital  Structure  in  a  Property 
Insurance  Firm  (Homewood,  111.:   Richard  D.  Irwin,  Inc.,  1975). 

14.  Stone,  J.  M.   "A  Theory  of  Capacity,"  (part  I,  part  II),  The  Journal  of 
Risk  and  Insurance  (June,  September,  1973),  pp.  231-243,  pp.  339-855. 

15.  Zellner,  A.   "An  Efficient  Method  of  Estimating  Seemingly  Unrelated 
Regressions  and  Tests  for  Aggregation  Bias,"  J.  of  American  Statist. 
Assn.,  1962,  pp.  57,  348-68. 


-23- 

TABLE  1 

AGGREGATE  EARNINGS  PAYOUT  RATIOS 


Insurer  Group  (i) 

Insurer  Group  (ii) 

Insurer  Group  (iii) 

CO. 

Elb 

E2C 

E3d 

E4e 

CO. 

El 

E2 

E3 

E4 

CO. 

El 

E2 

E3 

E4 

11 

.83 

.96 

.72 

.81 

01 

.89 

.97 

.85 

.92 

02 

.55 

.65 

.51 

.60 

14 

.67 

.63 

.64 

.60 

03 

.53 

.56 

.47 

.49 

05 

.14 

.08 

.11 

.07 

17 

.82 

.91 

.79 

.88 

04 

.74 

.76 

.68 

.70 

06 

.83 

.72 

.78 

.68 

24 

.75 

1.61 

.63 

1.13 

07 

.62 

.63 

.57 

.58 

08 

.83 

1.14 

.80 

1.10 

30 

.21 

.28 

.16 

.19 

09 

.58 

.40 

.51 

.37 

13 

.67 

.74 

.64 

.69 

33 

.71 

.84 

.58 

.66 

10 

.53 

.75 

.53 

.74 

15 

.66 

.55 

.49 

.43 

36 

.99 

1.22 

.83 

.99 

12 

.93 

1.17 

.78 

.95 

16 

.36 

.33 

.35 

.31 

38 

.73 

.79 

.57 

.61 

18 

.96 

1.05 

.83 

.89 

19 

.23 

.35 

.23 

.33 

40 

-.00 

-.00 

-.00 

-.00 

23 

1.13 

1.15 

1.12 

1.14 

20 

.64 

.55 

.60 

.51 

44 

.59 

.85 

.53 

.72 

25 

.86 

.80 

.69 

.65 

21 

.67 

.88 

.70 

.93 

45 

.15 

.15 

.13 

.13 

31 

.33 

.35 

.31 

.33 

22 

.06 

.06 

.04 

.04 

46 

.45 

.28 

.47 

.29 

34 

.61 

.66 

.60 

.65 

26 

.58 

.62 

.55 

.58 

48 

.52 

.42 

.49 

.40 

37 

.86 

.82 

.82 

.79 

27 

.84 

.66 

.72 

.59 

56 

.73 

.65 

.50 

.46 

39 

.21 

.20 

.20 

.19 

28 

-1.21 

-.92 

-2.14 

-1.37 

58 

.37 

.37 

.31 

.30 

41 

.32 

.34 

.27 

.28 

29 

.55 

.38 

.47 

.34 

60 

.77 

.67 

.68 

.60 

42 

.97 

1.26 

.96 

1.24 

32 

.11 

.12 

.10 

.10 

61 

.49 

.29 

.44 

.28 

43 

.37 

.76 

.80 

.71 

35 

.77 

.71 

.71 

.66 

50 

.50 

.42 

.45 

.38 

47 

.33 

.32 

.27 

.26 

52 

.80 

.86 

.80 

.86 

49 

.35 

.32 

.30 

.28 

53 

.92 

.80 

.85 

.75 

51 

.33 

.30 

.30 

.28 

54 

.65 

.76 

.62 

.71 

55 

.55 

.50 

.45 

.42 

57 

.30 

.30 

.27 

.27 

59 

.24 

.30 

.22 

.26 

Average  .61 


.68 


.53 


.57 


,66   .69   .61 


.64 


.41   .43   .33 


,37 


a  =  ownership  groups  (i),  (ii),  and  (iii)  are  defined  in  the  text. 
b  =  total  1955-75  dividends  •=■  total  1955-75  earnings  as  measured  by  definition 
c  =  total  1955-75  dividends  *  total  1955-75  earnings  as  measured  by  definition 
d  =  total  1955-75  dividends  $   total  1955-75  earnings  as  measured  by  definition 
e  =  total  1955-75  dividends  t  total  1955-75  earnings  as  measured  by  definition 


(A) 

in 

text. 

(B) 

in 

text. 

(C) 

in 

text. 

(D) 

in 

text. 

-24- 

TABLE  2 
NON-LIFE  INSURER  DIVIDEND  YIELDS  AND  CAPACITY  RATIOS 


Annual  Average 

Capacity 

Sample 

Year 

Dividend  Yield  (%) 

Mean 

Ratio 

C.V. 

Size 

1955 

2.90% 

.4249 

.4552 

22 

1956 

3.37 

.4040 

.3988 

23 

1957 

3.63 

.3760 

.4282 

25 

1958 

3.38 

.3960 

.3874 

26 

1959 

3.04 

.4192 

.6171 

28 

1960 

3.58 

.3903 

.3941 

28 

1961 

2.79 

.4202 

.3796 

29 

1962 

2.70 

.4010 

.3850 

28 

1963 

2.36 

.4064 

.3889 

29 

1964 

2.48 

.4093 

.3997 

30 

1965 

3.14 

.4007 

.3894 

30 

1966 

3.14 

.3742 

.3979 

28 

1967 

3.43 

.3844 

.3858 

28 

1968 

3.30 

.3872 

.3597 

26 

1969 

4.40 

.3595 

.4412 

19 

19  70 

4.27 

.3571 

.4439 

18 

1971 

2.90 

.3766 

.4033 

19 

19  72 

2.72 

.3960 

.4006 

21 

1973 

3.68 

.3472 

.4502 

20 

1974 

5.57 

.2794 

.5845 

21 

1975 

6.03 

.2799 

.5858 

20 

Overall 

Average 

3.38% 

F-test  results  for  average  dividend  yields  among  years  1955-75, 
F  =  5.3006  (significant  at  1  percent  level). 


-25- 


Table  3a 


Frequency  Distribution  of  1955  -  1975  Coefficient  Variation 
for  Average  Capacity  Ratio 


AT 

AND  LESS 

LEAST 

THAN 

0 

-   0.1 

0.1 

-  0.2 

0.2 

-   0.3 

0.3 

-  0.4 

0.4 

-  0.5 

Number  of  Firms 

Percentage 

8 

10.25 

25 

32.05 

32 

41.03 

9 

11.54 

3 

3.85 

1.4  -  1.5  1  1.28 

78  100% 


-26- 

Table  3b 
Frequency  Distribution  of  Average  1955  -  1975  Capacity  Ratio 


AT 

AND  LESS 

LEAST 

THAN 

0.1 

- 

0.2 

0.2 

- 

0.3 

0.3 

- 

0.4 

0.4 

- 

0.5 

0.5 

- 

0.6 

0.6 

- 

0.7 

0.7 

- 

0.8 

0.8 

- 

0.9 

Number  of   Firms 

Percentage 

2 

2.56% 

15 

19.23% 

36 

46.15% 

14 

17.95% 

4 

5.13% 

4 

5.13% 

2 

2.57% 

1 

1.28% 

78 

100% 

-27- 

TABLE  4 

EMPIRICAL  RESULTS  FOR  EQUATION  (7)- 
INCCME  MEASUREMENT  (A) 


Co 


.  No.a 

a 

a, 

a„ 

ao 

a/ 

R2 

S.E.b 

0 

1 

2 

3 

4 

(01) 

28856 

48347 

1.0732 

-.1909 

-1477.9 

.8705 

22487 

(1.03)c 

(2.73) 

(7.99) 

(-1.64) 

(-2.32) 

(02) 

-2  088.7 

5311.6 

.0615 

1.0043 

-88.1867 

.9572 

2179.9 

(-.41) 

(1.48) 

(.84) 

(9.13) 

(-.63) 

(03) 

-33600 

-22349 

.444 

.4477 

1615.8 

.4771 

18474 

(-.87) 

(-1.79) 

(2.02) 

(1.55) 

(1.41) 

(04) 

41880 

10161 

.377 

-.3301 

-913.30 

.8093 

4100.4 

(3.51) 

(1.99) 

(3.68) 

(-1.12) 

(-3.18) 

(05) 

111.92 

21.052 

-.0146 

.5626 

1.9058 

.6159 

103.67 

(.36) 

(.26) 

(-.97) 

(3.37) 

(.19) 

(06) 

2224.4 

89.114 

-.012 

.6742 

-42.8317 

.7374 

499.14 

(2.07) 

(.17) 

(-.11) 

(2.83) 

(-1.28) 

(07) 

4606.9 

-2050.4 

.1777 

-.1215 

-26.82 

.9107 

474.73 

(4.69) 

(-5.05) 

(4.04) 

(-.83) 

(-1.51) 

(08) 

-7201.8 

957.27 

-1.2438 

.2049 

224.87 

.4194 

2474.7 

(-2.23) 

(.57) 

(-2.26) 

(.97) 

(2.56) 

(09) 

3209.8 

1464.7 

.1395 

.9153 

-144.21 

.7183 

1406.4 

(.48) 

(.66) 

(1.32) 

(2.29) 

(-.79) 

(10) 

-271.55 

116.32 

.0601 

.2545 

14.329 

.5125 

135.36 

(-.79) 

(1.58) 

(1.57) 

(1.48) 

(1.33) 

(11) 

3651.3 

-149.76 

.1194 

.7052 

-103.72 

.9865 

632.16 

(1.31) 

(-.22) 

(13.95) 

(5.71) 

(-1.39) 

(12) 

483.36 

-342.8 

-.0194 

.4561 

6.182 

.5171 

232.98 

(.73) 

(-2.53) 

(-.47) 

(1.61) 

(.31) 

(13) 

371.99 

-360.08 

.1098 

.7322 

2.5613 

.8936 

294.38 

(.48) 

(-1.23) 

(1.97) 

(3.98) 

(.13) 

(14) 

-1146 

-464.32 

-.0279 

.706 

93.125 

.9771 

190.12 

(-1.28) 

(-2.1) 

(-.4) 

(8.87) 

(2.66) 

(15) 

2595.05 

-1705.75 

-.1866 

-.2681 

-1.2436 

.3308 

1137.2 

(1.29) 

(-2.61) 

(-1.09) 

(-.62) 

(-.02) 

(16) 

266.56 

-11.34 

.0031 

.3117 

.1542 

.5612 

29.8 

(3.76) 

(-.56) 

(.42) 

(4.10) 

(.10) 

(17) 

-6628 

3664.6 

.0089 

1.1095 

54.7184 

.9825 

1572.4 

(-3.22) 

(2.28) 

(.35) 

(16.55) 

(1.89) 

(18) 

25089 

7552.2 

.4611 

.1089 

-633.14 

.4185 

9842.5 

(2.22) 

(.92) 

(2.27) 

(.5) 

(-1.88) 

(19) 

-234.61 

511.6 

.0602 

.3044 

-.0705 

.1690 

737.46 

(-.09) 

(.97) 

(.27) 

(1.25) 

(-.00) 

(20) 

632.62 

278.37 

.0731 

.5974 

-21.454 

.8193 

204.76 

(2) 

(2.31) 

(2.1) 

(4.42) 

(-2.75) 

(21) 

-474.03 

-83.623 

-.0611 

-.2239 

21.8 

.3824 

336.77 

(-1.28) 

(-.44) 

(-.45) 

(-.85) 

(2.64) 

(22) 

-158.59 

820.79 

.0563 

-.1037 

-13.14 

.75 

294.31 

(-.18) 

(1.68) 

(3.29) 

(-.52) 

(-.59) 

-28- 
TABLE  4      (con't.) 


Co.  No. 

a 

0 

al 

a2 

a3 

a4 

R2 

S.E. 

(23) 

236.36 

-132.37 

.2276 

.6218 

-.5987 

.7821 

174.42 

(.94) 

(-1.04) 

(3.19) 

(4.45) 

(-.04) 

(24) 

76.332 

-30.198 

.0146 

.7806 

14.1488 

.7048 

386.83 

(.12) 

(-.12) 

(.64) 

(4.84) 

(.75) 

(25) 

133.92 

12.326 

.0223 

.3131 

-1.3485 

.75 

12.874 

(5.27) 

(1.09) 

(2.98) 

(3.00) 

(-2.73) 

(26) 

1011.7 

12.994 

.0561 

.1079 

-21.728 

.3014 

101.96 

(2.98) 

(.21) 

(.76) 

(.57) 

(-2.05) 

(27) 

5649.4 

946.63 

.4176 

.0973 

-148.02 

.7476 

1004.5 

(2.9) 

(.90) 

(2.68) 

(.33) 

(-2.7) 

(28) 

8211.5 

-3162.3 

.2192 

1.1228 

-119.34 

.8404 

2004.8 

(4.58) 

(-2.72) 

(3.29) 

(5.77) 

(-3.03) 

(29) 

-1563.5 

-290.22 

.2386 

-.2357 

54.328 

.3096 

219.41 

(-2.36) 

(-1.41) 

(.78) 

(-1.11) 

(2.41) 

(30) 

22.086 

-5.1426 

.0515 

.8264 

-.0806 

.9866 

42.299 

(.37) 

(-.10) 

(1.54) 

(5.42) 

(-.03) 

(31) 

-12.87 

-32.086 

.13279 

.3581 

3.5981 

.6896 

141.45 

(-.04) 

(-.19) 

(1.86) 

(1.83) 

(.42) 

(32) 

178.68 

-113.31 

.0212 

.7986 

-1.1135 

.9422 

92.144 

(1.01) 

(-.89) 

(.93) 

(5.38) 

(-.73) 

(33) 

129.26 

-16.705 

.0661 

.5398 

-1.6399 

.9359 

18.196 

(1.66) 

(-.98) 

(3.73) 

(2.66) 

(-1.11) 

(34) 

135.03 

-193.11 

.1684 

.5969 

6.5116 

.9463 

189.98 

(.45) 

(-.92) 

(1.16) 

(1.78) 

(.56) 

(35) 

2240.8 

3069.2 

.8689 

.2253 

-161.74 

.3504 

6055.8 

(.15) 

(.48) 

(1.30) 

(.80) 

(-.6) 

(36) 

59.841 

5.7237 

.0182 

.7153 

-.3979 

.8378 

14.71 

(1.26) 

(.48) 

(1.44) 

(3.44) 

(-1.04) 

(37) 

-20111 

8985.1 

1.1034 

.4233 

182.74 

.6978 

7045.5 

(-1.3) 

(1.59) 

(4.08) 

(2.32) 

(.57) 

(38) 

-7459.8 

1379.9 

-.0318 

1.6049 

195.75 

.881 

715.82 

(-1.93) 

(1.69) 

(-.67) 

(4.49) 

(1.75) 

(39) 

799.85 

-739.81 

.0031 

.0157 

19.998 

.9635 

194.45 

(6.78) 

(-6.59) 

(.81) 

(.32) 

(19.84) 

(40) 

7.3184 

-42.759 

0 

.8356 

1.7461 

.7457 

44.817 

(.12) 

(-1.72) 

(-.61) 

(5.36) 

(.92) 

(41) 

1016.4 

-908.3 

.3012 

-.5897 

-2.7769 

.8896 

268.97 

(1.48) 

(-1.62) 

(3.08) 

(-1.18) 

(-.43) 

(42) 

317045 

122943 

.3593 

-.4354 

-5716 

.4084 

109098 

(2.16) 

(1.10) 

(.68) 

(-1.61) 

(-2.00) 

(43) 

-989.77 

351.41 

2.1274 

.174 

-91.979 

.8914 

2095.4 

(-.18) 

(.21) 

(9.03) 

(1.35) 

(-1.1) 

(44) 

4.7857 

2.1733 

.0333 

.8963 

-.0282 

.9353 

4.3958 

(.48) 

(.33) 

(1.69) 

(10.1) 

(-.15) 

(45) 

823.23 

-125.00 

.0017 

.7098 

-8.739 

.9362 

76.1949 

(2.02) 

(-1.57) 

(.54) 

(4.98) 

(-1.25) 

(46) 

27.2701 

6.0099 

.07781 

.8345 

-.3367 

.9463 

11.9968 

(.32) 

(.65) 

(2.33) 

(8.11) 

(-.3) 

-29- 

TABLE   4      (con't.) 


Co.  No. 

a 

0 

al 

a2 

a4 

a4 

I2 

S.E. 

(47) 

637.75 

-397.18 

.0201 

-.4872 

-5.936 

.3842 

205.65 

(2.4) 

(-2.09) 

(.21) 

(-1.20) 

(-1.00) 

(48) 

-171.78 

198.29 

.0038 

1.1509 

-1.8817 

.984 

126.47 

(-.54) 

(1.37) 

(.22) 

(15.86) 

(-.27) 

(49) 

4.7876 

3.1862 

.0242 

.9569 

.0307 

.9821 

17.961 

(.12) 

(.16) 

(3.99) 

(12.35) 

(.04) 

(50) 

-53.344 

-3  7.445 

.0229 

.6896 

4.4049 

.542 

150.27 

(-.22) 

(-.26) 

(.66) 

(2.21) 

(.68) 

(51) 

-32.542 

5.29 

.0198 

1.0743 

.6195 

.9766 

25.401 

(-.57) 

(.15) 

(2.02) 

(10.62) 

(.72) 

(52) 

3676 

-1260.8 

.5737 

.089 

-71.872 

.82  66 

1026.1 

(2.67) 

(-1.47) 

(3.41) 

(.48) 

(-1.34) 

(53) 

50783 

-14548 

-.4155 

-.3623 

-543.13 

.5344 

9389.4 

(4.34) 

(-1.88) 

(-1.51) 

(-1.77) 

(-2.66) 

(54) 

-744.65 

-757.48 

-.0171 

-.0399 

56.1391 

.0209 

2652.4 

(-.2) 

(-.31) 

(-.07) 

(-.16) 

(.53) 

(55) 

855.25 

-146.2 

.1232 

.6583 

-13.2631 

.9582 

265.47 

(1.3) 

(-.45) 

(5.00) 

(4.74) 

(-1.24) 

(56) 

300.33 

-40.63 

.0843 

1.0597 

-7.668 

.9382 

67.948 

(1.72) 

(-.47) 

(1.62) 

(5.97) 

(-2.09) 

(57) 

-126.11 

-153.88 

-.0592 

.7387 

17.3201 

.5249 

192.4 

(-.26) 

(-.92) 

(-1.83) 

(3.34) 

(1.44) 

(58) 

6.1672 

-37.944 

.0402 

.8567 

1.3717 

.8506 

40.326 

(.07) 

(-.8) 

(.81) 

(4.55) 

(.67) 

(59) 

93.2801 

8.5132 

.024 

.8533 

-1.0067 

.912 

61.563 

(.73) 

(.15) 

(.66) 

(4.69) 

(-.54) 

(60) 

-9381.5 

9615.2 

.093 

1.1848 

-42.876 

.988 

2029.8 

(-2.74) 

(3.77) 

(1.87) 

(17.65) 

(-.45) 

(61) 

-356.07 

-202.36 

-.0227 

1.1427 

16.443 

.9845 

119.6 

(-.75) 

(-1.37) 

(-1.13) 

(17.95) 

(1.37) 

See  Appendix  A  for  company  names. 


Standard  error  of   the   estimate. 


"All   values   in  parentheses  are   t-values. 


-30- 

TABLE  5 


-2 


F-TEST  FOR  SIGNIFICANT  DIFFERENCE  IN  R 
AMONG  OWNERSHIP  GROUPS 


Ownership  Group 
(i)a 
(ii) 
(iii) 


Overall 
Average 


—2 

Average  R 

.917705 
.690487 
.623534 

.731858 


F  Value 


9.0361 


See  text  for  the  definition. 


Significant  at  .038%  level. 


-31- 

TABLE  6 
AVERAGE  1955-75  RATIOS  OF  POLICYOWNER  DIVIDENDS  TO  TOTAL  DIVIDENDS 


INA 

HARTFORD  ACCIDENT  AND  INDEMNITY 

AETNA  CASUALTY  AND  SURETY 

FEDERAL 

AMERICAN  STATES 

ROYAL  INDEMNITY 

WESTCHESTER  FIRE 

PBOVIDENCE  WASHINGTON 

GOVERNMENT  EMPLOYEES 

PEERLESS 

EMPLOYERS  FIRE 

EMPLOYERS  CASUALTY 

UNITED  PACIFIC 

AMERICAN  GENERAL 

RELIANCE 

AFFILIATED  FM 

CONNECTICUT  INDEMNITY 

STATE  FARM  FIRE  AND  CASUALTY 

CALIFORNIA  COMPENSATION  AND  FIRE 

HANOVER 

AMERICAN  POLICYHOLDERS 

GLOBE  INDEMNITY 

PACIFIC 

TRI  STATE 

CIVIL  SERVICE  EMPLOYEES 

WEST  AMERICAN 

AMERICAN  AUTOMOBILE 

AMERICAN  DRUGGISTS 

THE  AMERICAN  INSURANCE  COMPANY 

BITUMINOUS  CASUALTY  CORPORATION 

THE  CINCINNATI  INSURANCE  COMPANY 

THE  CONTINENTAL  INSURANCE  COMPANY 

HARBOR  INSURANCE  COMPANY 

PACIFIC  EMPLOYERS 

PHOENIX  INSURANCE  COMPANY 

REPUBLIC  INSURANCE  COMPANY 

SOUTH  CAROLINA  INSURANCE  COMPANY 

TRINITY  UNIVERSAL 

UNITED  FIRE  AND  CASUALTY 

UNITED  STATES  FIDELITY  &  GUARANTY 

WESTERN  CASUALTY  AND  SURETY 


Mean 

.0170 
.0979 
.3133 
.0409 
.0033 
.1010 
.0824 
.1106 
.2366 
.1461 
.1544 
,7680 
.1237 
.0379 
.0259 

1.000 
.1981 

1.000 
.9440 
.0418 
.7301 
.0912 
.0879 
.2190 
.1139 

1.000 
.7339 
.0694 
.3692 
.2413 
.0096 
.0183 
.6176 
.6764 
.1001 
.0041 
.0025 
.0301 
.1718 
.0356 
.0712 


.0237 
.0986 
.4016 
.0288 
.0102 
.1070 
.0991 
.2899 
.0808 
.2194 
,2227 
.0341 
.2962 
.0255 
.0445 

0 
.3853 

0 
.0360 
.0627 
.0799 
.0956 
.2163 
.3574 
.1858 

0 
.4040 
.0813 
.4306 
.1379 
.0207 
.0334 
.4633 
.1208 
.1313 
.0107 
.0086 
.4426 
.2490 
.0428 
.0878 


-32- 


FIGURE  1 


OWNERSHIP  ARRANGEMENTS,  EARNINGS  MEASURES,  AND 
DIVIDEND  DEFINITIONS  AVAILABLE  FOR  ANALYSIS 


Ownership 
Group 


Earnings 
Definition" 


Dividend  Definition 


ii 


iii 


(1)  =  with  policyowner 

dividends 

(2)  =  without  policyowner 
dividends 


bee  text  for  definitions. 


Figure  1  summarizes  the  combinations  of  potential  ownership  arrange- 
ments, earnings  definitions,  and  dividend  definitions  that  could  be 
tested  in  this  study. 


-33- 


APPENDIX  A 


Co.   No. 


Company  List 


Co.  No. 


Company  List 


01  INA  (ii)  49 

02  Hartford  Accident  &  Indemnity  (iii)     50 

03  AETNA  Casualty  &  Surety  (ii)  51 

04  Federal  (ii)  52 

05  American  States  (iii)  53 

06  Royal  Indemnity  (iii)  54 

07  Westchester  Fire  (ii)  55 

08  Calvert  Fire  (ii)  56 

09  Ohio  Casualty  (ii)  57 

10  Providence  Washington  (ii)  58 

11  Government  Employees  (i)  59 

12  Peerless  (ii)  60 
•13  Employers  Fire  (iii)  61 

14  Employers  Casualty  (i) 

15  United  Pacific  (iii) 

16  National  Casualty  (iii) 

17  American  General  (i) 

18  Reliance  (ii) 

19  American  Credit  Indemnity  (iii) 

20  Affiliated  FM  (iii) 

21  Connecticut  Indemnity  (iii) 

22  State  Farm  Fire  &  Casualty  (iii) 

23  California  Compensation  &  Fire  (ii) 

24  Hanover  (i) 

25  Utah  Home  Fire  (ii) 

26  American  Policyholders  (iii) 

27  Globe  Indemnity  Co.  (iii) 

28  Pacific  (Earlier  Guarantee)  (iii) 

29  Tri  State  (iii) 

30  American  Bankers  (i) 

31  Civil  Service  Employees  (ii) 

32  West  American  (iii) 

33  Excelsior  Insurance  Company  of  New  York  (i) 

34  Republic  Indemnity  (ii) 

35  American  Automobile  (iii) 

36  American  Druggists  Insurance  Co.  (i) 

37  The  American  Insurance  Co.  (ii) 

38  American  Reinsurance  (i) 

39  Bituminous  Casualty  Corp.  (ii) 

40  Carolina  Casualty  (i) 

41  The  Cincinnati  Insurance  Co.  (ii) 

42  The  Continental  Insurance  Co.  (ii) 

43  Fidelity  and  Deposit  Co.  of  Maryland  (ii) 

44  Firemens  Insurance  Company  of  Washington  D.C.  (i) 

45  General  Reinsurance  Corp.  (i) 

46  Germantown  Insurance  Co.  (i) 

47  Harbor  Insurance  Co.  (iii) 

48  The  Hartford  Steam  Boiler  Inspection  and  Insurance  Co 


Hawkeye-Security  Insurance  Co.  (iii) 

Interstate  Fire  &  Casualty  Co.  (ii) 

Northeastern  Insurance  Co.  of  Hartford  (iii) 

Pacific  Employers  (ii) 

Phoenix  Insurance  Co.  (ii) 

Reinsurance  Corporation  of  New  York  (ii) 

Republic  Insurance  Co.  (ii) 

South  Carolina  Insurance  Co.  (i) 

Trinity  Universal  Insurance  Co.  (ii) 

United  Fire  &  Casualty  Co.  (i) 

United  Fire  Insurance  Co.  (ii) 

United  States  Fidelity  and  Guaranty  Co.  (i) 

Western  Casualty  and  Surety  Co.  (i) 


(i) 


Ownership  arrangements  are  in  the  parentheses  following  the  company  names, 
(i),  (ii),  and  (iii)  ownership  arrangements  are  defined  in  the  text. 


These 


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