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Working Paper 94 13
THE ANNUITIZATION OF AMERICANS' RESOURCES:
A COHORT ANALYSIS

by Alan J. Auerbach, Jagadeesh Gokhale, Laurence J. Kotlikoff,
John Sabelhaus, and David N. Weil

Alan J. Auerbach is a professor of economics at the
University of California, Berkeley; Jagadeesh Gokhale is an
economic advisor at the Federal Reserve Bank of Cleveland;
Laurence J. Kotlikoff is a professor of economics at Boston
University; John Sabelhaus is a staff economist at the Urban
Institute, Washington, D.C.; and David N. Weil is a
professor of economics at Brown University. Mssrs.
Auerbach, KotlikofT, and Weil are also associates of the
National Bureau of Economic Research, Washington, D.C.
The authors thank Douglas Gale and Mark Schweitzer for
helpful comments, Felicitie Bell for critical data on U. S.
population projections, and Jean McIntire for excellent
research assistance. They are also grateful to the National
Institute on Aging for financial support.
Working papers of the Federal Reserve Bank of Cleveland
are preliminary materials circulated to stimulate discussion
and critical comment. The views stated herein are those of
the authors and not necessarily those of the Federal Reserve
Bank of Cleveland or of the Board of Governors of the
Federal Reserve System.
November 1994

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Abstract

This paper constructs a unique cohort data set to study the changes since
1960 in the share of Americans' resources that are annuitized. Understanding
these changes is important because the larger this share, the more cohorts are
likely to consume and the less they are likely to bequeath. Hence, the degree
of annuitization affects national saving as well as the transmission of
inequality over time.
Our findings are striking. Although the annuitized share of resources of
younger Americans declined slightly between 1960 and 1990, it increased
dramatically for older Americans (those age 65 or more). It doubled for older
men and quadrupled for older women. Since the elderly have much higher
mortality probabilities than do the young, their degree of annuitization is
much more important for aggregate bequests and saving. According to our
estimates, aggregate U.S. bequests would now be almost 50 percent larger had
the post-1960 increase in annuitization not occurred. In addition, U.S.
national saving would likely be substantially larger than is currently the
case.

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I. Introduction
This paper constructs a unique cohort data set to examine changes since
1960 in the share of Americansf resources that are annuitized (cannot be
bequeathed).

Understanding these changes is important. Generations whose

resources are more annuitized will consume more and bequeath less to their
children and others.'

This has implications for national saving as well as

the intergenerational transmission of inequality.
Auerbach, Kotlikoff, and Weil (1992) report dramatic increases between
1962 and 1983 in the annuitization of elderly Americansf resources. Their
study relies on two cross-section surveys, the 1962 and 1983 Surveys of
Consumer Finances. The nature of these data forced the authors to impute many
of the future annuity streams available to survey respondents, including labor
earnings, Social Security benefits, and private pension income, and to exclude
from the analysis the large medical annuities provided by Medicare and
Medicaid.
This study takes a different approach. Rather than estimate the
annuities of individual households, it considers the annuities of individual
cohorts alive between 1960 and 1990. Specifically, it uses cross-section
surveys to distribute to cohorts annual aggregate flows of income reported in
the National Income and Product Accounts (NIPA) and other sources. Although
this approach cannot address the interesting intracohort distribution issues
considered in Auerbach et al. (1993), it offers a potentially more accurate
and comprehensive method of assessing the overall degree of annuitization
among Americans.
Our findings are striking. Across all American males, the annuitized
share of resources remained roughly constant between 1960 and 1990. For
'1n this paper, the word "generation" refers to persons of a given sex
born in the same year.

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females it rose from one-third to one-half. Moreover, among elderly Americans
(age 65 and over), the annuitized resource share rose from 22 to 45 percent
for men and from 12 to 47 percent for women. Without this increase in the
degree of annuitization, U.S. aggregate bequests would be an estimated 47
percent larger. That is, if the government were to alter the structure of
Social Security benefits so as to return the degree of annuitization to its
1960 level, aggregate bequests would be almost 50 percent larger than current
levels. Although the precise i~pacte x the consq&i;,ptionof the elderly of
their increased annuitization is unclear, it appears to be substantial.
Indeed, it appears capable of explaining a significant fraction of the decline
in U.S. national saving.
Section I1 provides some background to this study. It defines annuitized
and nonannuitized resources, considers some general indicators of the increase
in annuitization, and discusses how increased annuitization can affect
national saving. Section I11 outlines the methods used for estimating the
annuitized and nonannuitized components of resources. Section IV describes
our data sources. Section V presents our findings and explores their implications.

Finally, Section VI summarizes the results and draws conclusions.

11. Background

Annuities are income flows that are contingent upon their owner's
survival.

Examples include Social Security benefits, private and public

pension benefits, government-provided health-care benefits, and labor
earnings. Government transfer payments in the form of Social Security,
Some annuities are contingent on other factors as well, such as the
need for medical services.

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Medicare, and Medicaid constitute a significant and growing portion of U.S.
annuities. These transfer payments have grown from less than 1 percent of GDP
in the mid-1950s to over 9 percent today. Pension benefits have also
increased faster than GDP. While pensions totaled 1.7 percent of GDP in 1960,
they now total more than 5.4 percent.
Not all annuities are positive. Future tax payments are examples of
negative annuities. In recent decades, U.S. taxes have also grown relative to
GDP. Another factor that has lowered annuitization is the reduction in
annuitized labor income associated with the trend toward early retirement.

In

1960, 33.1 percent of elderly males (those age 65 or more) and 10.8 percent of
elderly females participated in the labor force. The corresponding 1992
percentages are 16.1 and 8.3 percent.
The public can also reduce its effective degree of annuitization by
purchasing life insurance. As Yaari (1965) pointed out, the purchase
insurance is equivalent to the sale of an annuity.

of life

Cohorts that do not offset

increases in their annuitization through increased life insurance purchase are
likely to bequeath less and consume more than would otherwise be the case.
Davies (1981), Abel (1985), and Kotlikoff et al. (1986) present simulations of
the effects of introducing annuities into life-cycle economies. In their
models, agents have no bequest motive and, consequently, do not offset
increased annuitization by buying more life insurance. The ability to transform their net worth (or to have it transformed) into annuities permits these
agents to stop worrying about outliving their resources when they are old and
to consume more.

Each of these studies suggests that a significant increase

in annuitization will be associated with a substantial decline in both
national saving and aggregate bequests, as well as a significant increase in
the relative consumption-ofthe elderly.

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In the United States, the increase in annuitization, which is documented
below, has coincided with both a dramatic decline in national saving and a
dramatic increase in the relative consumption of the elderly.

Since 1980, the

U.S. net national saving rate has averaged 4.1 percent, compared with 9.1
percent in the 1950s and 1960s, and 8.5 percent in the 1970s. In this decade,
the net national saving rate has averaged only 2.5 percent. A comparison of
the 1960-61, 1972-73, 1984-86, and 1987-90 BLS Consumer Expenditure Surveys
shows an equally remarkable rise in elderly persons' relative consumption.
Figure 1 presents indices of average consumption by age for each of the four
periods.3 For each period, the average consumption of 40-year-olds is norrnalized to 1.
As the figure indicates, the age-consumption profiles for later years are
tilted upward compared to those for earlier years, indicating a rise over time
in the relative consumption of the elderly. Table 1 reports the ratios of
average levels of consumption of 70-year-old males and females to those of 30year-old males and females for each of the four periods. It shows that 70year-olds in 1960 consumed about two-thirds the amount consumed by 30-yearolds in 1960, whereas their consumption now exceeds that of 30-year-olds.
The increase in the annuitization of the elderly is certainly not the
only, nor necessarily the most important, explanation for the increase in
The source for this figure as well as for table 1 is Gokhale,
Kotlikoff, and Sabelhaus (1994). Their study describes their method of
allocating household consumption to the adults residing in the households
interviewed in the various Consumer Expenditure Surveys. It also describes
their methods of allocating by age and sex those components of household
consumption expenditure included in the National Income and Product Accounts
but excluded from the Consumer Expenditure Surveys. Examples of such
components include imputed rent and medical care. The calculated average
values of consumption by age and sex used in this figure and in table 1 are
benchmarked on a component-by-component basis against the National Income
Accounts totals of household expenditures for the various years in question.

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their relative consumption and the concomitant decline in national saving.
Indeed, much of the explanation for these outcomes appears to lie in the
government's massive transfers to the elderly, which have raised their incomes
relative to those of young people (see Boskin, Knetter, and Kotlikoff [I9851
and Gokhale, Kotlikoff, and Sabelhaus [1994]).

A Sim~leModel of the Effects of ~nnuitization~
Analysis of the steady state of the following simple two-period lifecycle model clarifies the theoretical argument that connects increased
annuitization to the decline in bequests and national saving: Agents live for
two periods. They work full time when young (earning W) and consume C when
Y
young and C,

when old. Population is stationary, and the size of each cohort

is normalized to unity.
(1).

Each agent survives to old age with probability

There is no private annuities market. However, the government

provides annuities by imposing a tax of T on each cohort when young and
returning this amount with interest to surviving members of the cohort when
old. Since there are (1-p) survivors in each cohort, each survivor receives
an annuity of T(l+r)/(l-p),

where r is the real interest rate.

If the tax, T, does not exhaust private saving, members who die prior to
their last period of life will leave a bequest. Assuming bequests are divided
equally among the young, the bequest received per young person is pB, where p
is the fraction of each cohort that dies before reaching old age and B is the
bequest made per decedent.
At the beginning of any period (before anyone has died), total wealth in
the economy, K , equals the sum of private wealth of the elderly plus the
This model is also presented in Auerbach et al. (1992).

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wealth held by the government. The wealth held by the government is just T,
the aggregate tax payments of each generation. Private wealth of the elderly
can be traced to their saving when young, W+pB-T-C

Y'

Total wealth is just

this sum plus T, so

For those leaving bequests, we have

For those agents who survive to old age, consumption, Co, is given by

where the first term on the right-hand side of ( 3 ) represents principal plus
interest on private savings, and the second term is the government's annuity
payment to survivors. We close the model by assuming that agents maximize an
expected, time-separable, homothetic utility function over consumption when
young and old, given by

where a is the time preference parameter. Maximization of utility subject to
the budget constraint given in ( 3 ) implies that consumption when old is
proportional to consumption when young, i.e.,

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where the factor of proportionality, 0, depends on a, r, and p.5
The above equations imply

According to equation (6), aggregate wealth is a decreasing function of T, the
amount of saving which is annuitized by the government. The intuition for
this result is clear from equations (1)-(3)
(2),

and (5).

According to (1) and

raising T lowers the steady-state level of bequests as well as the

steady-state capital stock, ignoring induced changes in consumption when
young. If consumption when young were to fall as much as inheritances
received when young (pB), aggregate wealth would remain unchanged.

But,

according to equations (3) and ( 5 ) , consumption when young falls by less than
pB for two reasons. First, the propensity to consume when young is less than
unity. Second, the annuity provided by the government increases the amount
each generation can afford to consume over its lifetime because it reduces
undesired bequests.6
In our model, agents have no interest in leaving bequests and, therefore,
no interest in purchasing life insurance. As Yaari (1965) first demonstrated,
the purchase of term life insurance is equivalent to the sale of an annuity.
In this model, we are assuming that one cannot purchase annuities at
the margin from private insurance companies. Allowing for such purchases
would change the value of 0.
Note that the reduction in aggregate wealth arising here is not, as in
Feldstein (1974), the result of the government's directly transferring
resources from the young to the old, but rather the result of the government's
indirectly helping the old to reduce their transfers to the young.

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If we modified our model to include a bequest motive and the voluntary
purchase of life insurance, we would find that government annuitization of the
saving of the young would simply lead them to purchase more life insurance;
i.e., the annuities purchased by the government would be immediately resold.

111. Estimating Annuitized and Nonannuitized Resources

In this study, we calculate the amounts of nonannuitized and annuitized
resources for all male and female adult cohorts for the years 1960-1990.

The

components of annuitized resources are the present values of future labor
earnings (human wealth), Social Security benefits, private and government
employee pension benefits, government health-care benefits, welfare benefits,
other government transfers, and, entering as negative annuities, the present
values of future taxes. Taxes include labor and capital income taxes,
indirect taxes, payroll taxes, and property and other taxes. Nonannuitized
resources refer to holdings of net wealth.
The computation of cohorts' nonannuitized resources for each year between
1960 and 1990 involves distributing by age and sex each year's aggregate value
of household net wealth. The computation of each annuitized resource
component employs a common strategy. First, for each year, the national
aggregate for a particular type of payment (or receipt) is distributed by age
and sex according to the cross-section, age-sex relative profile that is
applicable to that payment (or receipt).

For example, aggregate 1965 Social

Security benefits are distributed according to the age-sex relative profile
for these benefits that prevailed in 1965. This yields estimates of the per
capita amounts of the payment (or receipt) by age and sex for that year. The
per capita annuity values for years after 1992 are estimated by either 1)

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distributing projected aggregate payments or receipts according to the latest
available cross-section relative profile or 2) assuming that age- and sexspecific per capita values equal their respective values in 1992 or some later
year except for an adjustment for productivity growth.
Second, for each generation in a given year t (say, males born in 1966),
the present value of all future per capita payments of a particular type (say,
indirect tax payments) is computed by multiplying these future per capita
payments by the generation's projected population in those years, discounting
these values back to year t, and dividing the sum of the discounted values by
the number of members of the generation alive in the base year. This method
produces actuarially discounted present values of the particular receipt or
payment for each generation alive in period t.
As an example of this method for calculating the different components of
annuitized resources, consider the estimate of human wealth (HW).

Our formula

, ~ ,
for human wealth in year t of a person of sex x born in year k , H W ~ ~ is

where

es,k stands for the average earnings in year s of a member of the

generation born in year k and of sex x, pXSSk is the population in year s of
the same generation, R=l/(l+r),

where r is the rate of interest, and D is the

maximumage of life. The calculationof

es ,k is givenby

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In these equations Es is aggregate labor earnings in year s, dxs ,k is the
ratio in year s of the average earnings of the generation born in year k of
sex x divided by the average earnings in year s of our reference group

-

those males who were age 40 in year s (i.e., those for whom k=s-40).
The construction of relative profiles by age and sex, dxtSk, is described
in equations (9) and (10):

In equation (9),

zxs,k is the weighted average (across cohort members indexed

by i) of labor income. IVXsPk is the number of observations in year s of individuals of sex x born in year k , zxs,k,i is the wage and salary income of the
ith individual of sex x in year s who was born in year k , and w

~

~is ,the~

person weight of this observation. Equation (10) shows the calculation in
year s of the average labor income of members of the generation with sex x who
were born in year k , relative to that of contemporaneous 40-year-old males.

,

~

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IV. Data Sources
The national aggregates used in our calculations come from the National
Income and Product Accounts (NIPA), the Federal Reserve System's Flow of Funds
(FOF), The American Council of Life Insurance (ACLI), the U.S. Census Bureau's
Current Population Survey (CPS), and the Survey of Current Business (SCB). The
sources for cross-section relative profiles are the CPS, the Survey of Income
and Program Participation (SIPP), the Consumer Expenditure Survey (CES), the
Survey of Consumer Finances (SCF), the Social Security Administration's Annual
Statistical Supplement (SSASS), and the Health Care Financing Administration
(HCFA).

The computations also use the historic and projected population

counts of the Social Security Administration (SSA). 7
The following is a more detailed description of our data sources and
projections :

Labor Income
Aggregate labor income between 1960 and 1992 is calculated as labor's
share of NIPA-reported national income. For each of these years, labor's
share of national income is calculated under the assumption that its share of
proprietorship income is the same as its share of national income.8
Relative profiles of labor income by age and sex are calculated for each
year between 1963 and 1992 using that year's CPS data on individual wages and
SSA's projections are available through the year 2066. These projections were extended to the year 2200 by using SSA's mortality, fertility, and
immigration assumptions for the year 2066.
Labor income's share of national income is a, where a satisfies C +
aPI = aNI. In this equation, C is compensation paid to employees, PI is
proprietorship income, and NI is national income. The calculated values of a
are very stable over the years 1960-1992, ranging between 0.76 and 0.82.-

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salaries. Since these data are top-coded, we followed Shyrock and Seigel
(1971) and estimated for each year the average wage and salary for top-coded
observations. Their procedure uses the fact that the upper tail of the wage
and salary distribution can be well approximated by the Pareto distribution.
Values of average wages for top-coded observations were calculated separately
for males and females. These values were assigned to all top-coded observations before computing relative wage profiles.

The annual profiles were

smoothed over age by using a seven-year moving average of wages and salaries.
The 1963 profiles are used to distribute aggregate labor income for years
prior to 1963, and the 1992 profiles are applied for years after 1992. Per
capita labor income for years beyond 1992 is projected under the assumption
that, except for an adjustment for growth, cohorts of a given age and sex earn
the same average labor income in future years as cohorts of that age and sex
earned in 1992. For example, males who are age 50 in 1993 are assumed to earn
the same amount on average, apart from an adjustment for growth, as males who
were age 50 in 1992. The growth adjustment is 0.75 percent per year. Thus,
the projected average earnings of males age 50 in, say, 1994 equals the
corresponding 1992 average for 50-year-old males, multiplied by (1.0075).

Private and Government Emvlovee Pensions. Workers' Com~ensation.and Veterans'
Benefits
This category includes four types of income -- benefits from private
pension plans, workers' compensation, veterans' benefits, and government
employee pensions. Aggregate private pension benefits for the years 1960-1988
are the NIPA estimates reported in Park (1992).

The NIPA estimates are based

The small number of observations precluded separate estimation by age.

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upon administrative reports and appear to be more reliable than other
estimates that are based upon household surveys.

Estimates of aggregate

private pension benefits for 1989 through 1992 were derived by extrapolating
the 1988 reported level of benefits using the 1984-1988 average annual growth
rate of real aggregate private pension benefits.

The aggregates for the other

three types of benefits are reported in the SCB.
The relative profiles of the four types of income are computed from the
March CPS.

This survey contains information on income from a variety of

sources including company or union pensions, workers' compensation, veterans'
benefits, government employee pensions, and receipts from annuities and other
regular contributions. Retirement, disability, and survivor benefits are
included for each type of income.,
Unfortunately, receipts from several sources of retirement income are
aggregated into one variable in the CPS data.

For example, in the 1980-88

data, private pension income is combined with income from government employee
pensions (including federal, state, and local government pensions, as well as
military retirement pensions).

Fortunately, the CPS specifies for each obser-

vation the different types of income that are being combined into the pension
and other income variable. We use this information to identify, for each age
and sex, those observations receiving only private pensions and those
receiving only government employee pensions. Next, we calculate, again by age
and sex, the average values of the two types of income. Finally, we compute
the ratio of average private pension income to the sum of the averages of
income from private and government employee pensions.

The ratio of average

government employee pensions to average pension receipts for this age-sex
category is one minus the ratio of average private pensions to average pension

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receipts. These two ratios are used to impute the values of private and
government employee pensions for observations receiving both types of income.
The computation of relative profiles for each year uses the age- and sexspecific cell averages of actual and imputed private and government employee
pension income, smoothed across age using a seven-year moving average.
Separate profiles were obtained for each of the four categories of income
for each year between 1970 and 1992. The 1970 profiles were used to
distribute the national aggregates of these payments in years prior to 1970.
For years after 1992, real average pension benefits at a given age and sex are
set equal to their 1992 values, adjusted for the assumed 0.75 percent rate of
growth.

Social Security Benefits
Aggregate Social Security benefits between 1960 and 1992 are those
reported by NIPA.

Between 1993 and 2004 we use the Office of Management and

Budget's (OMB) projections of Social Security benefits computed on a NIPA
basis. Aggregate Social Security Old Age, Survivor, and Disability Insurance
(OASDI) benefits after 2004 equal the 2004 aggregate adjusted for growth. The
growth rates applied in this case are those embedded in a special Social
Security Administration projection of total benefit payments for years after
2004.

This projection incorporates Social Security's intermediate economic

and demographic assumptions, with one exception: the productivity growth rate
is assumed to equal 0.75 percent.
The SSASS reports average benefits by age and sex by type of benefit as
well as the total number of recipients in each age-sex category. These data
were used to form population-weighted per capita OASDI benefit profiles by age

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and sex.

Relative p r o f i l e s of OASDI b e n e f i t s f o r each year from 1960 through

1990 were obtained from t h a t y e a r ' s SSASS.

For years a f t e r 1990 we use t h e

1990 r e l a t i v e p r o f i l e of S o c i a l Security b e n e f i t s by age and sex.

Medicare and Medicaid Benefits
Aggregate Medicare and Medicaid payments from t h e inceptions of these
programs through 1992 a r e those reported by NIPA.

OMB provided us with

unpublished p r o j e c t i o n s , on a NIPA b a s i s , of aggregate Medicare payments f o r
t h e years 1993 through 2004.

For t h e years between 2004 and 2030, we extrapo-

l a t e d aggregate Medicare payments using HCFA's 2004-2030 p r o j e c t e d Medicare
growth r a t e s .

I n t h e case of Medicaid, we applied HCFA's p r o j e c t e d annual

Medicaid growth r a t e s between 1993 and 2030 t o t h e 1992 aggregate NIPA value
of Medicaid.

Medicare and Medicaid payments beyond 2030 a r e assumed t o grow

i n accordance with demographic change and our assumed p r o d u c t i v i t y growth
rate.

Relative p r o f i l e s of Medicare and Medicaid b e n e f i t s a r e based on HCFA

d a t a on average b e n e f i t s by age and sex.
a r e a v a i l a b l e only by five-year

I n t h e case of Medicare, t h e d a t a

age groups.

U n e m p l o ~ e n tInsurance, Aid t o Families with Dependent Children, Food Stamps
and General Welfare Benefits
Aggregate values of these f e d e r a l , s t a t e , and l o c a l t r a n s f e r s a r e those
reported by NIPA.

Supplemental s e c u r i t y income, a s well a s t r a n s f e r s f o r

employment and t r a i n i n g , a r e d i s t r i b u t e d according t o t h e r e l a t i v e p r o f i l e f o r
AFDC.

General welfare b e n e f i t s include f e d e r a l black-lung b e n e f i t s , s t a t e

general a s s i s t a n c e , s t a t e energy a s s i s t a n c e , education b e n e f i t s , and other
f e d e r a l , s t a t e , and l o c a l t r a n s f e r s .

The aggregate amount of earned income

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t a x c r e d i t s i s d i s t r i b u t e d according t o the r e l a t i v e p r o f i l e f o r food stamps.
P r o f i l e s f o r unemployment insurance, food stamps, AFDC, and general welfare
a r e computed from t h e 1983 SIPP.

These r e l a t i v e p r o f i l e s a r e used, i n

conjunction with y e a r - s p e c i f i c population counts by age and s e x , t o d i s t r i b u t e
t h e i r r e s p e c t i v e aggregate expenditures by age and sex f o r a l l of t h e y e a r s
between 1960 and 1992.

For f u t u r e y e a r s , we assume t h a t t h e age- and sex-

s p e c i f i c values of each of t h e s e d i f f e r e n t types of t r a n s f e r payments keep
pace with p r o d u c t i v i t y growth.

Labor Income Taxes
Aggregate f e d e r a l , s t a t e , and l o c a l income t a x e s f o r 1960 through 1992
a r e those reported by NIPA.

For 1992 through 2004, we use OMB's p r o j e c t i o n s

of f e d e r a l income t a x revenues.

S t a t e and l o c a l income t a x e s f o r 1993 through

2004 a r e p r o j e c t e d using O M B ' s GDP f o r e c a s t and assuming t h a t t h e same r a t i o
of s t a t e and l o c a l income t a x e s t o GDP p r e v a i l s between 1993 and 2004 a s t h a t
which p r e v a i l e d i n 1992.
Aggregate l a b o r income taxes i n each year a r e c a l c u l a t e d a s t h e product
of t o t a l f e d e r a l , s t a t e , and l o c a l income taxes and l a b o r ' s share of n a t i o n a l
income.

We d i s t r i b u t e aggregate l a b o r income taxes based on t h e CPS p r o f i l e s

of l a b o r income described above.

A f t e r 2004, we assume t h a t age- and sex-

s p e c i f i c values of l a b o r income taxes keep pace with p r o d u c t i v i t y growth.

P a v r o l l Taxes
The NIPA r e p o r t s aggregate values of p a y r o l l t a x e s from 1960 through
1992.

OMB provided us with p r o j e c t i o n s of aggregate f e d e r a l p a y r o l l taxes

from 1993 through 2004.

Aggregate s t a t e and l o c a l p a y r o l l taxes f o r 1993

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through 2004 were calculated based on OMB's projection of GDP between 1993 and
2004 and the assumption that the 1992 ratio of state and local payroll taxes
to GDP prevails through 2004. Aggregate payroll taxes in the years 1960-2004
are distributed by age and sex according to 1963-1992 CPS profiles of covered
earnings, where covered earnings refers to labor earnings that are subject to
Social Security payroll taxes.lo Age- and sex-specific values of payroll
taxes beyond 2004 are assumed to equal their 2004 values, adjusted for growth.

Excise and Sales Taxes
The NIPA is our source for aggregate excise tax (including property tax)
and sales tax revenue from 1960 through 1992. For the period 1993-2004, we
use OMB projections of federal excise and sales tax revenues. State and local
excise and sales tax revenues between 1993 and 2004 are calculated using the
1992 ratio of these revenues to GDP and applying OMB's GDP forecasts through
2004.
Relative age-sex profiles of excise and sales taxes were calculated from
the 1960-61, 1972-73, 1984-86, and 1987-90 CES. Separate profiles were
constructed for tobacco, alcohol, property taxes, and all other sales and
excise taxes. The 1960-61 profiles were used for years prior to 1966. The
1972-73 profiles were used for the years 1967 through 1978. The 1984-86
profiles were used for the years 1979 through 1986, and the 1987-90 profiles
were used for 1987 and beyond. Age- and sex-specific values of sales and
lo Unfortunately, the data do not permit the calculation of separate
profiles for state and local payroll taxes, which are not necessarily subject
to earnings ceilings. However, non-Social Security payroll taxes are a small
fraction of the total (less than 30 percent), so the bias associated with
using Social Security covered earnings profiles is likely to be small.

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excise taxes beyond 2004 are assumed to equal the 2004 values, adjusted for
growth.

Capital Income Taxes
Aggregate capital income taxes between 1960 and 2004 are calculated as
capital's share of national income multiplied by actual or projected values of
aggregate federal, state, and local income tax revenues. Relative profiles of
capital income taxes come from the 1962 and 1983 SCFs. These profiles are
based upon weighted average net-worth holdings by age and sex, where the
weights applied are SCF person weights. This procedure could be applied only
to individuals age 80 or less because of limited data for older individuals.
The profile of average net-worth holdings by age and sex was smoothed and
extrapolated through age 90 using a fourth-order polynomial. Age- and sexspecific values of capital income taxes after 2004 are assumed to equal the
2004 values, adjusted for growth.

Nonhuman Wealth
Age- and sex-specific values of nonhuman wealth (NHW) in each year
between 1960 and 1992 are constructed by distributing by age and sex each
year's level of total private net wealth. Aggregate private net wealth for

~ relative profiles of wealth
these years is reported in the F O F . ~The
holdings by age and sex are calculated by using data from the 1963 and 1983
SCF.

In estimating the relative profiles, components of wealth that are owned

jointly by members of a multiperson household are divided equally among such
Our aggregates are net of the FOF's estimate of the value of residential structures, plant, and equipment owned by nonprofit institutions.

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members.

The 1963 profiles are used for years prior to 1963, and the 1983

profiles are used for years after 1983. The profiles for intermediate years
are constructed by linearly interpolating between the 1963 and 1983 profiles.

The Term Value of Life Insurance
Aggregate face values of life insurance for the years 1960 through 1992
are reported by the ACLI.

The 1962 and 1983 SCF are used to distribute these

amounts by age and sex. Fortunately, the SCFs report term as well as face
values of life insurance. Consequently, we were able to calculate the ratio
of term value to face value of life insurance on an age- and sex-specific
basis for the years 1962 and 1983. Multiplying these ratios by our calculated
age- and sex-specific face values of insurance produced age- and sex-specific
term values of insurance for 1962 and 1983, and, after interpolating, for
other years as well.12

V . Findings

A. Changes i n t h e Cohort D i s t r i b u t i o n o f Resources

Total Resources
The total resources of a cohort is the sum of its human, nonhuman, and
pension wealth, less its generational account. The generational account
refers to the present value of a sex-specific generation's future tax payments
net of the present value of its future receipts of transfer payments. Our
calculations include all tax payments made to, and transfer payments received
from, federal, state, and local governments.
12~otethat the cash value of life insurance is counted as part of
nonhuman wealth.

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Tables 2a and 2b contain per capita values of total real resources and
resource components for male and female cohorts in 10-year age groups for the
years 1960, 1970, 1980, and 1990. The tables also show the per capita
resources of all cohorts age.20-89 and of older cohorts age 65-89.

For the

entire populations of males and females, total resources grew substantially
over the three decades since 1960;but
and for women.
percent.

they grew more rapidly for the elderly

For males as a group, per capita resources rose by 39.6

For older males, they grew by 119.9 percent.

For females as a

group, per capita resources rose by 124.0 percent. For older females, they
grew by 123.8 percent. Between 1960 and 1990 female per capita resources rose
from 39 percent to 62 percent of male per capita resources.
Some of the reported differences in resource growth across ages and sex
are particularly striking. For example, males age 20-29 experienced only a
7.1 percent increase in their average resources over the 30 years, whereas
males age 70-79 experienced a 125.5 percent increase, and females age 20-29
experienced a 153.5 percent increase.
The relative growth in elderly Americans' resources appears primarily to
reflect government intergenerational redistribution, coupled with improvements
in their longevity. Between 1960 and 1990, the average generational account
of older males fell from -$3,400 to -$80,200. The decline was even larger for
older females. Their average generational account was -$6,600 in 1960, but in
1990 it was -$99,300. Over the same period, the generational accounts of
younger cohorts rose dramatically. For example, the accounts of males age 2029 rose from $145,800 to $191,700 and those of females age 20-29 rose from
$66,900 to $118,800. The components of generational accounts shown in tables
3a and 3b clearly indicate that changes in the relative values of the genera-

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tional accounts of the old and the young primarily reflect increases in Social
Security and government-provided health-care benefits (Medicare and Medicaid),
on the one hand, and increases in labor income and payroll taxation, on the
other.
The relative growth in femalesf resources primarily reflects their
increased participation in the labor force. According to tables 2a and 2b, in
1960 the human wealth of females age 20-29 was $148,900 per capita

- just

29

percent of the corresponding male value of $521,500. In 1990, the per capita
human wealth of females in this age range was $326,600 -- 56 percent of the
1990 male average of $581,800.
/

The Composition of Total Resources
Tables 4a and 4b show the composition of total resources. For younger
cohorts of both sexes, human wealth represents the bulk of resources. The
reason is simply that most of their working years lie in the future. In fact,
these cohortsf human wealth is larger than their total resources because the
latter are calculated net of their positive generational accounts. In
contrast, older cohortsf total resources are predominantly held in the form of
nonhuman wealth.

Over the three decades, the share of human wealth in total

resources declined for all male cohorts over 40. The same is true for female
cohorts age 50 and over.
For the male population as a whole, the share of nonhuman wealth in total
resources remained roughly constant, but it declined significantly for male
cohorts over 65 years of age. The share of nonhuman wealth declined for the
female population as a whole, and it declined significantly for women over 65.
The decline from 85 to 52 percent in the share of nonhuman wealth for older
females was greater than the decline from 74 to 53 percent for older males.

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As tables 4a and 4b indicate, private pension wealth is a small but
growing component of total resources.

Its share of total resources increased

from 10 to 18 percent for older males and from 5 to 9 percent for older
females. The share of resources represented by generational accounts also
changed significantly over the three decades. Generational accounts as a
share of total resources increased for males age 39 or less, but declined
significantly for females in the same age categories. For older males the
excess, in present value, of future transfers over future taxes (the negative
of the generational account) made up almost a quarter of total resources in
1990, compared with only 2 percent in 1960. The corresponding female figures
are 37 percent in 1990 and 5 percent in 1960.
Tables 5a and 5b express the components of generational accounts as
shares of total resources. Among other things, they show that health benefits
rose from an insignificant share of elderly Americans' resources in 1960 to 14
percent of older males' resources and 23 percent of older females' resources
in 1990.

B. Changes in Bequeathable and Annuitized Resources

Tables 6a and 6b present the components of bequeathable resources
nonhuman wealth plus the term value of life insurance

- as

-

well as the

difference between bequeathable resources and total resources. This
difference is annuitized resources. Tables 7a and 7b report these components
as a fraction of total resources. The degree of resource annuitization, R ~ ,
is computed as the ratio of annuitized to total resources, i.e.:

(11)

a
R = l -

TERM + NHW
HW+NHW+PW-GA '

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where TERM stands for the average term value of life insurance, HW stands for
average human wealth, NHW stands for average nonhuman wealth, PW stands for
average private pension wealth, and GA stands for the generational account.
Table 7a shows a significant increase in Ra for older males

-- from 0.22

in 1960 for cohorts age 65 and older to 0.45 in 1990. For older female
cohorts, the increase reported in table 7b is even larger

-- from 0.12 in 1960

to 0.47 in 1990. This larger annuitized share of elderly persons' resources
implies, of course, an equal and opposite decline in their share of bequeathable resources.
The increased annuitization of older males is offset by the decreased
annuitization of younger males.

Because younger males outnumber older ones,

overall male resource annuitization declines by a small amount.

Specifically,

Ra for males falls from 0.74 to 0.69. For females, however, the ratio of
annuitized to total resources increases for all age cohorts. For the female
population as a whole, Ra rises from 0.33 to 0.53 during this period.

Sensitivity Analysis
The calculations reported earlier assume a 0.75 percent rate of productivity growth (g) and a discount rate (r) of 6 percent. We denote these as
the base-case values for r and g. Table 8 examines the sensitivity of Ra to
alternative interest rate assumptions. As the table shows, the conclusion
that the resource annuitization of the elderly has increased dramatically
since 1960 holds for values of r of 3, 6 , and 9 percent.
Higher interest rates produce smaller values of annuitized resources, but
they do so for each of the years considered. Hence, they do not have much

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impact on the increase over time in the ratio of annuitized to total
resources. For example, when r equals 9.0 percent, Ra in 1960 is 0.19 for
elderly males and 0.08 for elderly females. These values are smaller than the
respective base case (r=0.06 g=0.75) amounts 0.22 and 0.12. However, the
growth in Ra for elderly males and females between 1960 and 1990 is about the
same in this case as in the base case. For older males, Ra rises from 0.19 to
0.40, compared to 0.22 to 0.45 in the base case.

For older females, Ra rises

from 0.08 to 0.42, compared with 0.12 to 0.47 in the base case.
As mentioned, projected health benefits are an important component of
annuitized resources for the elderly and the middle-aged.

Table 9 examines

the degree to which Ra would be different under alternative assumptions
regarding future government health-care policies. We consider three alternatives to the current policy (the base case).

The first incorporates the

administration's official revenue and expenditure projections for President
Clinton's health reform proposal (columns 3 and 4 in table 9).

Through the

turn of the century, the President's plan entails essentially the same total
level of spending on health care (if one includes the proposed new subsidies
to early retirees, etc.) as under current policy. However, after the turn of
the century, real government health-care spending is slated to grow no faster
than the rate warranted by demographic change and growth in labor productivity.
The second health-care policy alternative (columns 5 and 6 in table 9)
modifies the projections arising under the President's plan by assuming that
real Medicare spending will grow from 2000 through 2020 at a rate 2 percent
higher than the plan foresees. The third health-care policy (columns 7 and 8
in table 9) limits growth in real government health-care spending to the

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amount warranted by demographic change and labor productivity growth starting
in 1994.
As table 9 shows, incorporating the administration's official revenue and
expenditure projections under President Clinton's health-care plan, with or
without the extra 2 percent growth between 2000 and 2020, reduces the values
of Ra only very slightly. For the elderly, the reductions in Ra are evident
only for the 1990 figures. This is because for the elderly in 1980 and
earlier, the benefit cuts will occur only in the distant future. For the
entire population, however, reductions in Ra are seen as early as 1980
because, compared to the base case, the benefit cuts will have been fully
phased in by the time these cohorts receive government health-care benefits.13
Compared with the base case, even a policy of stabilizing health-care
spending beginning in 1994 does not significantly alter the degree of
annuitization for the elderly. Under the base case, 47 percent of the
resources of older females are annuitized in 1990, compared with 44 percent
under the 1994 stabilization policy.

For older males, the respective figures

are 45 percent and 43 percent. Thus, the post-1960 increase in annuitization
remains dramatic, despite the 1994 stabilization policy.

C. Implications for Aggregate Bequests and National Saving

As discussed earlier, cohorts with higher degrees of annuitization will,
ceteris paribus, bequeath less and consume more.

To assess the impact on

aggregate bequests of changes since 1960 in Americans' degree of annuitiza1 3 ~ h e1990 annuitization ratio for females as a whole is slightly larger
for the 2 percent faster health-care cost growth (0.52) than under the Clinton
health reform scenario (0.51). This occurs because younger females receive
substantially more in health-care benefits over their remaining lifetimes
under the former scenario.

clevelandfed.org/research/workpaper/index.cfm

tion, we first estimate the total flow of bequests in 1990 for base-case
values of r and g. We do so by multiplying the aggregate 1990 values of
bequeathable wealth (net worth plus term life insurance) for individual male
and female cohorts by their respective 1990 mortality probabilities. Summing
the products over all cohorts yields an aggregate 1990 bequest flow of $245.1
billion. Next, we calculate 1990 aggregate bequests under the assumption that
a cohort's bequeathable resources in 1990 equal its total resources in 1990
multiplied by its 1960 ratio of bequeathable resources to total resources.
This produces a 1990 bequest flow of $360.8 billion for the base case. Thus,
without the post-1960 increase in resource annuitization, aggregate 1990
bequests would have been an estimated 47.2 percent larger. Note that we hold
the total resources of each cohort fixed in this counterfactual experiment.
The $115.7 billion difference between these two bequest amounts constitutes
the additional amount that generations alive in 1990 appear likely to have
consumed as a consequence of this increased annuitization. This $115.7
billion figure is substantial: It represents 74 percent of total net national
saving in 1990.
Table 10 indicates that the percentage reduction in estimated 1990
bequests due to the increased resource annuitization would not be much
affected by any of the three alternative future paths of health-care spending
by the government; even if health-care spending were stabilized in 1994, the
reduction would be a sizable 41 percent.

Table 11 examines the sensitivity of

the reduction in bequests under alternative assumptions for r. Large reductions are indicated for each interest-rate assumption. The smallest reduction
in bequests is 40.8 percent, and the largest is 55.5 percent.

A different question about the reliability of these findings involves our
use of the random bequest method to estimate the flow of bequests.

This

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method assumes that the net worth and life insurance holdings of those people
who actually die at age x at time t do not differ systematically with respect
to their wealth holdings and life insurance from those who do not actually die
at age x at time t.
Admittedly, many of those who actually die at age x at time t may know
ahead of time that they are about to die and spend down some of their assets
through high living. In addition, those who actually die may incur particularly large uninsured medical expenses. But this bias in the random death
method's calculation of bequests, whatever its size, is a bias that holds for
each of our calculations of actual bequests in 1990, as well as the
hypothetical bequests that would have prevailed in 1990 had the degree of
annuitization been that of 1960. Indeed, if one assumes that in 1990 end-oflife uninsured medical expenses, as well as other end-of-life expenses, would
have been the same had Americansr annuitization been that of 1960, our procedure underestimates the percentage decline in bequests.14,15

VI . Conclusion
This paper combines a large array of micro and macro data to study
changes since 1960 in the degree of annuitization of Americansr resources
Although we find no increase in the annuitization of younger Americans, we
find a dramatic increase in the degree of annuitization of older Americans.
This finding is robust to alternative assumptions about interest and growth
l4 The reason is that the difference in bequests is the same, but the
level of actual 1990 bequests is smaller, producing a larger percentage change
in bequests in the hypothetical exercise.
15see, for example, Scheiner and Weil (1992) for evidence of decumulation
of housing wealth just prior to death.

clevelandfed.org/research/workpaper/index.cfm

rates, as well as to various possible courses of future U.S. health-care
policy.
The increase in the annuitization of the elderly reflects increases in
their receipt of Social Security and health transfers, coupled with their
failure to increase their purchase of life insurance. Since the elderly have
much higher mortality probabilities, their degree of annuitization is critical
to the flow of bequests.

According to our base-case estimates, holding fixed

the total resources of each cohort, current aggregate U.S. bequests would be
roughly 50 percent larger if these resources, particularly those of older
Americans, were annuitized to the same degree as they were in 1960.
addition, U.S. national saving would likely be substantially larger.

In

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References
Abel, Andrew B., "Precautionary Savings and Accidental Bequests," American
Economic Review, vol. 75, no. 4, 1985, pp. 777-91.
Auerbach, Alan J., Jagadeesh Gokhale, and Laurence Kotlikoff, "Generational
Accounting: A Meaningful Alternative to Deficit Accounting," Tax Policy and
the Economy, ed. by David Bradford, National Bureau of Economic Research, vol.
5, 1991, pp. 55-110.
Auerbach, Alan J., Laurence J. Kotlikoff, David N. Weil, "The Increasing
Annuitization of the Elderly - Estimates and Implications for Intergenerational Transfers, Inequality, and National Saving," National Bureau of
Economic Research working paper no. 4182, October 1992.
Boskin, Michael, Michael Knetter, and Laurence J. Kotlikoff, "Changes in the
Age Distribution of Income in the United States, 1968-1984," mimeo, Center for
Economic Policy Research, Stanford University, October 1985.
Davies, James, "Uncertain Lifetimes, Consumption and Dissaving in Retirement,"
Journal of Political Economy, vol. 89, 1981, pp. 561-77.
Feldstein, Martin S., "Social Security, Induced Retirement, and Aggregate
Capital Accumulation," Journal of Political Economv, vol. 82, 1974, pp. 90526.
Gokhale, Jagadeesh, Laurence J. Kotlikoff, and John Sabelhaus, "Understanding
the Postwar Decline in U.S. Saving: A Cohort Analysis," Boston University,
Department of Economics, mimeo 1994.
Kotlikoff, Laurence J., John Shoven, and Avia Spivak, "The Impact of Annuity
Insurance on Savings and Inequality,''Journal of Labor Economics, vol. 4, no.
3, pt. 2, 1986, pp. 5183-207.
Park, Thae S., "Total Private Pension Benefit Payments, 1950-88, in Trends in
Pensions. 1992, ed. by John A. Turner and Daniel J. Beller, U.S. Department of
Labor, Pension and Welfare Benefits Administration, 1992, pp. 271-83.
Scheiner, Louise, and David N. Weil, "The Housing Wealth of the Aged," NBER
Working Paper No. 4115, July 1992.
Shyrock, Henry, S., and Jacob S. Seigel and Associates, The Methods and
Materials of Demography, U.S. Department of Commerce, Bureau of the Census,
vol. 1, 1971, pp. 365-66.
Yaari, Menahem, E. "Uncertain Lifetime, Life Insurance, and the Theory of the
Consumer," Review of Economic Studies, vol. 32, April 1965, pp. 137-50.

clevelandfed.org/research/workpaper/index.cfm

clevelandfed.org/research/workpaper/index.cfm

Table 1
Consumption of the Elderly Relative to the Young
Comparison

1960-61

1972-73

1984-86

1987-90

Male 70/Male 30

.672

.802

1.135

1.247

Female 70/Male 30

.667

.798

1.045

1.112

Male 70/Female 30

.664

.763

1.059

1.202

Female 70/Female 30

-659

.760

.975

1.072

Source: Authors' calculations.

clevelandfed.org/research/workpaper/index.cfm

Table 2a
Total Resources and Resource Components

--

Male Cohorts 1960-90

(Population Weighted Averages i n Thousands of 1992 D o l l a r s )
Age Group:

20-29

30-39

40-49

50-59

60-69

70-79

80-89

20-89

65-89

410.4
427.3
416.2
439.5

419.8
477.1
492.2
504.1

374.5
456.6
498.9
540.4

286.3
384.1
454.6
522.7

204.9
281.9
368.3
459.1

152.9
205.9
271.9
344.8

105.7
122.3
187.0
185.5

339.9
398.5
432.0
474.5

160.3
212.0
285.3
352.6

7.1

20.0

44.3

82.6

124.1

125.5

75.5

39.6

119.9

521.5
557.4
548.2
581.8

476.7
548.7
561.7
581.5

358.1
419.5
437.1
472.3

202.7
240.2
248.9
258.8

65.6
70.2
66.9
69.7

13.4
11.9
10.7
14.2

5.9
4.2
3.2
5.2

332.7
374.9
389.1
413.7

21.6
19.5
18.3
21.8

11.6

22.0

31.9

27.7

6.3

6.0

-11.9

24.3

0.1

12.0
12.9
17.1
18.1

44.4
49.1
62.6
61.6

81.8
100.3
122.1
131.8

112.2
143.5
170.0
198.2

126.5
162.5
191.0
225.0

119.2
142.8
177.1
190.6

92.6
84.1
128.5
89.6

71.3
85.3
98.3
108.2

119.1
141.5
175.4
187.1

50.8

38.7

61.1

76.6

77.9

59.9

-3.2

51.8

57.1

22.7
26.6
27.9
31.4

30.2
37.8
41.7
46.1

32.0
51.4
61.6
68.7

24.4
50.6
80.0
95.3

21.3
37.1
70.1
94.2

14.9
25.0
36.1
57.7

6.9
14.1
20.7
27.0

25.7
38.4
49.2
58.5

16.2
26.5
42.9
63.5

38.3

52.6

114.7

290.6

342.3

287.2

291.3

127.6

291.4

TOTAL RESOURCES

1960
1970
1980
1990
% Increase
1990/ 1960
HUMAN WEALTH

1960
1970
1980
1990
% Increase
1990/1960

NON-HUMAN WEALTH

1960
1970
1980
1990
% Increase
1990/1960
PENSION WEALTH

1960
1970
1980
1990
X Increase
1990/ 1960

GENERATIONAL ACCOUNT

Source: Authors1 calculations.

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Table 2b
Total Resources and Resource Components

- Female Cohorts

1960-90

(Population Weighted Averages i n Thousads of 1992 D o l l a r s )
Age Group:

20-29

30-39

40-49

50-59

60-69

70-79

80-89

20-89

65-89

96.2
163.4
204.7
243.9

112.3
171.5
237.0
289.4

154.8
199.6
274.3
323.9

169.8
222.6
291.2
349.5

147.2
219.3
281.5
362.8

115.1
161.7
229.2
278.4

89.3
83.8
166.9
129.5

131.0
185.7
244.5
293.5

120.1
163.6
229.9
268.7

153.5

157.7

109.2

105.8

146.5

141.9

45.0

124.0

123.8

148.9
227.0
286.4
326.6

121.1
173.3
251.0
301.1

98.9
124.5
168.2
229.5

60.5
72.4
82.0
111.8

17.3
20.9
20.8
25.3

2.9
2.9
3.0
4.4

0.5
0.7
0.8
1.3

87.6
121.0
163.1
198.3

5.2
5.1
5.0
6.5

119.3

148.6

132.1

84.8

46.2

51.7

160.0

126.4

23.1

7.2
13.1
11.9
25.0

42.9
56.9
62.5
79.9

91.9
104.6
134.9
132.2

118.1
139.1
175.0
183.2

113.8
147.1
172.0
203.9

99.9
114.5
146.6
147.3

88.4
56.7
116.6
36.0

72.1
85.4
99.9
108.5

101.9
113.7
146.8
138.7

247.2

86.2

43.9

55.1

79.2

47.4

-59.3

50.5

36.1

7.1
8.2
9.7
11.1

9.3
12.0
13.8
15.8

9.8
16.0
20.4
23.1

11.0
16.8
26.8
32.8

10.0
16.9
24.4
34.5

5.6
10.7
16.5
23.2

2.3
5.2
9.7
14.8

8.9
12.9
17.1
21.0

6.4
11.5
17.0
24.2

56.3

69.9

135.7

198.2

245.0

314.3

543.5

134.8

276.6

TOTAL RESOURCES

1960
1970
1980
1990
% Increase

1990/1960
HUMAN WEALTH

1960
1970
1980
1990
% Increase
1990/1960

NOW-HUMAN WEALTH

1960
1970
1980
1990
% Increase
1990/1960
PENSION WEALTH

1960
1970
1980
1990
% Increase
1990/1960

GENERATIONAL ACCOUNT

Source: Authors1 calculations.

clevelandfed.org/research/workpaper/index.cfm

Table 3a
The Components of Generational Accounts

- Male

Cohorts 1960-90

(Population Ueighted Averages i n Thousands of 1992 D o l l a r s )

30-39

40-49

50-59

60-69

70-79

80-89

20-89

65-89

53.6
67.5
73.6
78.8

39.1
51.0
56.7
62.9

21.4
28.6
32.4
33.8

6.8
8.2
8.8
9.0

1.4
1.4
1.4
1.8

0.6
0.5
0.4
0.7

37.2
46.1
51.1
55.9

2.2
2.3
2.4
2.8

86.5

40.1
60.4
75.1
83.9

27.3
43.0
55.8
66.5

14.6
23.7
30.7
35.8

4.5
6.8
8.1
9.4

0.9
1.2
1.3
1.9

0.3
0.4
0.4
0.7

28.2
42.0
52.4
59.7

1.5
1.9
2.2
2.9

INDIRECT TAXES
1960
45.5
1970
49.7
1980
51.2
1990
57.2

43.6
49.4
51.7
57.3

36.2
41.8
44.7
50.9

25.1
31.2
34.4
39.1

14.9
19.5
23.1
27.1

8.0
11.1
13.8
17.0

4.4
6.6
8.3
9.1

33.3
38.3
41.4
46.7

9.4
12.5
15.3
18.4

26.2
27.0
29.9
33.6

31.1
31.6
35.6
40.6

30.5
31.2
34.8
40.1

23.9
26.1
28.7.
31.4

14.6
17.3
20.6
18.4

7.4
8.4
13.3
6.7

24.9
25.5
28.0
31.6

16.5
18.5
21.7
20.2

26.9
42.1
51.0
60.7

33.6
52.0
72.1
83.7

26.0
40.6
55.0
69.2

11.3
24.5
35.4
44.5

20.6
28.6
34.2
39.4

28.0
42.6
59.0
70.8

6.4
17.5
33.0
59.0

3.4
14.2
27.3
49.0

1.2
9.9
19.9
34.4

8.9
17.2
27.4
41.3

4.0
14.8
28.3
50.4

1.7
3.2
3.9
4.4

0.9
2.3
3.0
3.3

0.4
1.2
1.8
1.9

4.3
6.2
6.7
7.2

1.0
2.4
3.0
3.4

Age Group:

20-29

LABOR INCOME TAXES
1960
60.2

1970
1980
1990

70.0
72.8
80.0

PAYROLL TAXES
1960
50.3
1970
69.1
1980
77.7

1990

CAPITAL INCOME TAXES
1960
18.4

1970
1980
1990

19.1
21.3
24.4

SOCIAL SECURITY BENEFITS (OASDI)
1960
11.2
15.9
22.4

1970
1980
1990

13.0
14.4
16.0

19.7
22.1
24.4

28.4
34.0
38.1

HEALTH BENEFITS (Medicare and Medicaid)
1960
10.8
10.3
9.4
8.6

1970
1980
1990

16.7
22.8
30.8

UELFARE BENEFITS
1960
6.6
1970
8.5
1980
8.8

1990

9.5

18.4
26.4
35.3

18.1
30.2
43.2

5.7
7.7
8.0
8.6

4.4
6.3
6.6
7.2

Source: Authors1 calculations.

17.5
31.7
52.6

3.0.
4.7
5.3
5.8

clevelandfed.org/research/workpaper/index.cfm

Table 3b
The Components of Generational Accounts

--

Female Cohorts 1960-90

(Population Weighted Averages i n Thousands of 1992 Dollars)

30-39

40-49

50-59

60-69

70-79

80-89

20-89

65-89

17.5
28.7
38.0
44.7

13.9
21.5
32.9
40.7

10.9
15.2
21.8
30.5

6.4
8.6
10.6
14.6

1.8
2.5
2.7
3.3

0.3
0.3
0.4
0.6

0.1
0.1
0.1
0.2

9.9
15.0
21.4
26.8

0.5
0.6
0.7
0.8

18.1
31.6
43.0
51.2

13.7
23.4
37.0
46.7

10.2
16.1
24.4
35.2

5.6
8.9
11.6
16.9

1.5
2.5
2.9
3.8

0.2
0.3
0.4
0.7

0.1
0.1
0.1
0.2

9.7
16.2
24.1
30.7

0.4
0.6
0.7
1.0

INDIRECT TAXES
1960
44.7
1970
48.8
1980
50.4
1990
56.0

41.8
47.6
50.4
56.2

34.4
40.0
43.1
49.0

24.6
30.3
33.2
37.8

14.7
19.9
23.5
26.7

8.3
11.4
14.5
16.9

4.3
6.6
8.6
9.8

31.3
35.8
38.7
43.6

9.2
12.5
15.2
17.4

27.7
28.4
29.6
34.6

32.1
32.9
36.2
39.1

31.2
30.7
34.6
37.6

23.5
24.7
25.6
28.1

12.6
15.7
16.9
13.3

7.3
7.8
12.3
3.5

25.5
25.3
27.0
30.0

14.8
16.6
17.8
14.6

33.0
44.8
52.0
59.6

36.5
57.2
71.9
82.9

22.3
40.9
57.0
68.8

7.6
22.2
34.7
45.3

22.5
30.5
35.5
40.2

24.9
42.5
57.1
67.9

Age Group:

20-29

LABOR INCOME TAXES

1960
1970
1980
1990
PAYROLL TAXES

1960
1970
1980
1990

CAPITAL INCOME TAXES

1960
1970
1980
1990

19.9
19.2
21.7
26.7

SOCIAL SECURITY BENEFITS (OASDI)

1960
1970
1980
1990

11.2
12.4
13.5
14.9

16.5
19.4
21.0
22.9

24.6
29.3
33.4
36.3

HEALTH BENEFITS (Medicare and Medicaid)

1960
1970
1980
1990

12.4
17.2
21.8
27.4

13.4
21.4
28.8
36.2

13.6
23.9
37.0
49.8

13.1
24.8
41.9
65.0

9.9
24.6
44.5
75.1

5.2
19.1
36.3
63.8

1.8
12.5
24.9
44.1

11.9
21.4
32.6
47.6

5.9
19.5
36.4
62.9

6.2
9.4
9.8
11.7

3.6
5.6
5.8
6.9

2.0
3.2
3.6
4.1

1.1
2.1
2.6
3.0

0.6
1.5
2.0
2.3

0.3
1.0
1.4
1.6

4.5
6.8
7.6
8.9

0.7
1.6
2.0
2.3

WELFARE BENEFITS

1960
1970
1980
1990

9.7
13.9
14.5
17.5

Source: Authorsr calculations.

clevelandfed.org/research/workpaper/index.cfm

Table 4a
The Composition of Total Resources
Male Cohorts 1960-90
Age Group:

20-29

30-39

40-49

HUMAN WEALTH

NON-HUMAN WEALTH

PENSION WEALTH

GENERATIONAL ACCOUNT

Source: Authorsr calculations.

50-59

60-69

70-79

80-89

clevelandfed.org/research/workpaper/index.cfm

Table 4b
The Composition of Total Resources
Female Cohorts 1960-90
Age Group:

20-29

30-39

40-49

HUMAN WEALTH

NOW-HUMAN WEALTH

PENSION WEALTH

GENERATIONAL ACCOUNT

Source: Authors1 calculations.

50-59

60-69

70-79

80-89

clevelandfed.org/research/workpaper/index.cfm

Table 5a
The Components of Generational Accounts As a Share of Total Resources
Male Cohorts 1960-90

20-29

30-39

40-49

50-59

60-69

70-79

80-89

20-89

65-89

LABOR INCOME TAXES
1960
0.15
1970
0.16
1980
0.17
1990
0.18

0.13
0.14
0.15
0.16

0.10
0.11
0.11
0.12

0.07
0.07
0.07
0.06

0.03
0.03
0.02
0.02

0.01
0.01
0.01
0.01

0.01
0.00
0.00
0.00

0.11
0.12
0.12
0.12

0.01
0.01
0.01
0.01

0.12
0.16
0.19
0.20

0.10
0.13
0.15
0.17

0.07
0.09
0.11
0.12

0.05
0.06
0.07
0.07

0.02
0.02
0.02
0.02

0.01
0.01
0.00
0.01

0.00
0.00
0.00
0.00

0.08
0.11
0.12
0.13

0.01
0.01
0.01
0.01

INDIRECT TAXES
1960
0.11
1970
0.12
1980
0.12
1990
0.13

0.10
0.10
0.11
0.11

0.10
0.09
0.09
0.09

0.09
0.08
0.08
0.07

0.07
0.07
0.06
0.06

0.05
0.05
0.05
0.05

0.04
0.05
0.04
0.05

0.10
0.10
0.10
0.10

0.06
0.06
0.05
0.05

0.06
0.06
0.06
0.07

0.08
0.07
0.07
0.08

0.11
0.08
0.08
0.08

0.12
0.09
0.08
0.07

0.10
0.08
0.08
0.05

0.07
0.07
0.07
0.04

0.07
0.06
0.06
0.07

0.10
0.09
0.08
0.06

0.09
0.11
0.11
0.12

0.16
0.18
0.20
0.18

0.17
0.20
0.20
0.20

0.11
0.20
0.19
0.24

0.06
0.07
0.08
0.08

0.17
0.20
0.21
0.20

0.02
0.07
0.10
0.14

0.01
0.08
0.11
0.19

0.03
0.04
0.06
0.09

0.02
0.07
0.10
0.14

0.01
0.01
0.01
0.01

0.00
0.01
0.01
0.01

0.01
0.02
0.02
0.02

0.01
0.01
0.01
0.01

Age Group:

PAYROLL TAXES
1960

1970
1980
1990

CAPITAL INCOME TAXES
1960
0.04
1970
0.04

1980
1990

0.05
0.06

SOCIAL SECURITY BENEFITS (OASDI)
1960
0.03
0.04
0.06

1970
1980
1990

0.03
0.03
0.04

0.04
0.04
0.05

0.06
0.07
0.07

HEALTH BENEFITS (Medicare and Medicaid)
1960
0.03
0.02
0.03
0.03
1970
0.04
0.04
0.04
0.05
1980
0.05
0.05
0.06
0.07

1990

0.07

WELFARE BENEFITS
1960
0.02

1970
1980
1990

0.02
0.02
0.02

0.07

0.08

0.10

0.03
0.06
0.09
0.13

0.01
0.02
0.02
0.02

0.01
0.01
0.01
0.01

0.01
0.01
0.01
0.01

0.01
0.01
0.01
0.01

Source: Authors1 calculations.

clevelandfed.org/research/workpaper/index.cfm

Table 5b
The Components of Generational Accounts As a Share of Total Resources
Female Cohorts 1960-90
Age Group:

20-29

30-39

40-49

50-59

60-69

70-79

80-89

20-89

65-89

0.18
0.18
0.19
0.18

0.12
0.13
0.14
0.14

0.07
0.08
0.08
0.09

0.04
0.04
0.04
0.04

0.01
0.01
0.01
0.01

0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00

0.08
0.08
0.09
0.09

0.00
0.00
0.00
0.00

0.19
0.19
0.21
0.21

0.12
0.14
0.16
0.16

0.07
0.08
0.09
0.11

0.03
0.04
0.04
0.05

0.01
0.01
0.01
0.01

0.00
0.00
0.00
0.00

0.00
0.00
0.00
0.00

0.07
0.09
0.10
0.10

0.00
0.00
0.00
0.00

0.46
0.30
0.25
0.23

0.37
0.28
0.21
0.19

0.22
0.20
0.16
0.15

0.14
0.14
0.11
0.11

0.10
0.09
0.08
0.07

0.07
0.07
0.06
0.06

0.05
0.08
0.05
0.08

0.24
0.19
0.16
0.15

0.08
0.08
0.07
0.06

0.25
0.17
0.12
0.12

0.21
0.16
0.13
0.12

0.18
0.14
0.12
0.11

0.16
0.11
0.09
0.08

0.11
0.10
0.07
0.05

0.08
0.09
0.07
0.03

0.19
0.14
0.11
0.10

0.12
0.10
0.08
0.05

0.19
0.20
0.18
0.17

0.25
0.26
0.26
0.23

0.19
0.25
0.25
0.25

0.08
0.27
0.21
0.35

0.17
0.16
0.15
0.14

0.21
0.26
0.25
0.25

LABOR INCOME TAXES

1960
1970
1980
1990
PAYROLL TAXES

1960
1970
1980
1990
INDIRECT TAXES

1960
1970
1980
1990

CAPITAL INCOME TAXES

1960
1970
1980
1990

0.21
0.12
0.11
0.11

SOCIAL SECURITY BENEFITS (OASDI)

1960
1970
1980
1990

0.12
0.08
0.07
0.06

0.15
0.11
0.09
0.08

0.16
0.15
0.12
0.11

HEALTH BENEFITS (Medicare and Medicaid)

1960
1970
1980
1990

0.13
0.11
0.11
0.11

0.12
0.12
0.12
0.13

0.09
0.12
0.13
0.15

0.08
0.11
0.14
0.19

0.07
0.11
0.16
0.21

0.04
0.12
0.16
0.23

0.02
0.15
0.15
0.34

0.09
0.12
0.13
0.16

0.05
0.12
0.16
0.23

0.06
0.05
0.04
0.04

0.02
0.03
0.02
0.02

0.04
0.01
0.01
0.01

0.01
0.01
0.01
0.01

0.01
0.01
0.01
0.01

0.00
0.01
0.01
0.01

0.03
0.04
0.03
0.03

0.01
0.01
0.01
0.01

UELFARE BENEFITS

1960
1970
1980
1990

0.10
0.08
0.07
0.07

Source: Authors1 calculations.

clevelandfed.org/research/workpaper/index.cfm

Table 6a
The Components o f Bequeathable Resources - Male Cohorts 1960-90
(Population Weighted Averages i n Thousands o f 1992 Dollars)
Age Group:

20-29

30-39

40-49

50-59

60-69

70-79

80-89

20-89

TOTAL RESOURCES

NON-HUMAN WEALTH

TERM VALUE OF LIFE INSURANCE

BEQUEATHABLE WEALTH (Non-Human Wealth Plus Term Value o f L i f e 1nsurance)

ANNUITIZED WEALTH (Total Wealth Minus Bequeathable Wealth)

Source: Authors1 calculations.

65-89

clevelandfed.org/research/workpaper/index.cfm

Table 6b
The Cunponents of Bequeathable Resources

- Female Cohorts

1960-90

(Population Weighted Averages i n Thousands of 1992 Dollars)
Age Group:

20-29

30-39

40-49

50-59

60-69

70-79

80-89

20-89

TOTAL RESOURCES

NON-HUMAN WEALTH

TERM VALUE OF LIFE INSURANCE

BEQUEATHABLE WEALTH (Non-Hunan Wealth Plus Term Value of L i f e Insurance)

ANNUITIZED WEALTH (Total Wealth Minus Bequeathable Wealth)

Source: Authorsf calculations.

65-89

clevelandfed.org/research/workpaper/index.cfm

Table 7a
Bequeathable and Annuitired Resources As a Share of Total Resources
Male Cohorts 1960-90
Age Group:

20-29

30-39

40-49

50-59

60-69

70-79

80-89

20-89

TOTAL RESWRCES

NON-HUMAN WEALTH

TERM VALUE OF LIFE INSURANCE

BEQUEATHABLE WEALTH (Non-Human Wea 1th P Lus Term Value of L i f e Insurance)

ANNUITIZED WEALTH (Total Wealth Minus Bequeathable Wealth)

Source: Authors1 calculations.

65-89

clevelandfed.org/research/workpaper/index.cfm

Table 7b
Bequeathable and Annuitized Resources As a Share o f Total Resources
Female Cohorts 1960-90
Age Group:

20-29

30-39

40-49

50-59

60-69

70-79

80-89

20-89

TOTAL RESOURCES

NON-HUMAN WEALTH

TERM VALUE OF LIFE INSURANCE

BEQUEATHABLE WEALTH (Non-Human Wealth P Lus Term Value o f L i f e Insurance)

ANNUITIZED WEALTH (Total Wealth Minus Bequeathable Wealth)

Source: Authors1 calculations.

65-89

clevelandfed.org/research/workpaper/index.cfm

Table 8
Ratio of Annuitized t o Total Resources under Different
Interest Rate ( r ) Assunptions

Males

Fema 1es

Source: Authors1 calculations

clevelandfed.org/research/workpaper/index.cfm

Table 9
Ratios of Annuitized to Total Resources under
Alternative Health Care Spending Outcomes

Year

Base Case

Clinton Health

Health Reform

Reform

Uith 2% Faster

Stabilizing
Health Care

Cost Grouth

Spending a f t e r

1994

Fema 1es

Source: Authors1 calculations.

clevelandfed.org/research/workpaper/index.cfm

Table 10
Annual Bequest Flow i n 1990 Based upon Annui t i z a t i o n Ratios for 1990 and 1960
Alternative Health Care Spending Outcanes
(Billions of 1992 Dollars)

Year

1960
ratio
1990
ratio
percent
difference

Base Case

Clinton Health Health Reform
Reform
Uith 2% Faster
Cost Growth

Stabilizing
Health Care
Spending a f t e r
1994

360.8

356.6

357.2

345.4

245.1

245.1

245.1

245.1

47.2

45.5

45.8

40.9

Source: Authors1 calculations.

clevelandfed.org/research/workpaper/index.cfm

Table 11
Annual 1990 Bequest Flow Based upon Annui t i z a t i o n Ratios f o r 1990 and 1960
Alternative I n t e r e s t Rate ( r ) Assunptions
( B i l l i o n s of 1992 dollars)

Bequest
Flows
1960
ratio

381 .O

360.8

345.0

1990
ratio

245.1

245.1

245.1

percent
difference

55.5

Source: Authors1 calculations.