Note on Longevity and Aggregate Savings

In a recent paper in this journal, Bloom, Canning and Graham (2003) model the effect of changes in longevity on individual savings. They proceed to present empirical findings about the relation between longevity and aggregate savings. There is a missing link between their empirics and theory: the changes in the populations age density distribution due to increased longevity. This note provides such an aggregation analysis within a simple model with uncertain survival, endogenous life‐cycle consumption and retirement age. It is shown that, with continuous annuitization, an increase in expected longevity raises aggregate steady‐state savings. The magnitude of this effect depends on the economy's age‐specific distribution and on the elasticity of optimum retirement to changes in longevity.     

Effects of longevity and dependency rates on saving and growth: Evidence from a panel of cross countries

While earlier empirical studies found a negative saving effect of old-age dependency rates without considering longevity, recent studies have found that longevity has a positive effect on growth without considering old-age dependency rates. In this paper, we first justify the related yet independent roles of longevity and old-age dependency rates in determining saving and growth by using a growth model that encompasses both neoclassical and endogenous growth models as special cases. Using panel data from a recent World Bank data set, we then find that the longevity effect is positive and the dependency effect is negative in savings and investment regressions. The estimates indicate that the differences in the demographic variables across countries or over time can well explain the differences in aggregate savings rates. We also find that both population age structure and life expectancy are important contributing factors to growth.     

HOUSING DECISION WITH DIVORCE RISK

We build a life‐cycle model of housing decisions under divorce risk that predicts that the recent increase in divorce rates leads to reduced homeownership rates. The risk of a divorce triggers a precautionary‐savings motive. However, this motive is weaker when individuals can invest in owner‐occupied homes because homeowners' higher savings partially substitute for precautionary savings. When young, the larger asset accumulation due to divorce‐risk‐induced precautionary savings enables households to buy homes earlier, whereas the presence of transaction costs leads to reduced homeownership for middle‐aged and older households when divorce risk goes up.     

Health spending,savings and fertility in a lifecycle‐dynastic model with longevity externalities

We investigate health spending, savings, fertility and policy implications in a lifecycle‐dynastic model with longevity externalities in annuity returns. We show that such externalities engender not only excessive health spending but also under‐saving and excessive fertility. Social security and health subsidization increase health spending and savings but reduce fertility from laissez‐faire levels. A publicly funded universal health system under labour‐income taxation raises fertility. Taxing health spending or using social security and public health together can obtain socially optimal health spending, savings, longevity and fertility. Numerical results based on US observations suggest substantial variations among these cases, especially in old‐age health spending.     

Intertemporal Labor Supply and Human Capital Accumulation*

We solve and estimate a dynamic model that allows agents to optimally choose their labor hours and consumption and that allows for both human capital accumulation and savings. Estimation results and simulation exercises indicate that the intertemporal elasticity of substitution is much higher than the conventional estimates and the downward bias comes from the omission of the human capital accumulation effect. The human capital accumulation effect renders the life‐cycle path of the shadow wage relatively flat, even though wages increase with age. Hence, a rather flat life‐cycle labor supply path can be reconciled with a high intertemporal elasticity of substitution.     

Demographic links to savings in life cycle models: identification of issues for LDCs

The author considers the potential for a link between the recent pattern of demographic transition and intertemporal and inter-country variations in savings rates. Fertility, infant mortality, life expectancy, and levels of female and child labor force participation are among the various demographic factors which affect national savings rates through their effects upon age structure, age-specific individual savings behavior, and their general equilibrium effects upon interest rates, wage rates, and income distribution. The author establishes a simple discrete time life cycle model of savings, explains the issues related to age structure, and discusses the effect of age-specific savings functions, the general equilibrium effects of demographic factors, the effects of life expectancies and child mortalities, and the nature of social security coverages in less developed countries, as well as issues which are especially important for less developed countries. A new strategy for empirically evaluating demographic policies is proposed. That is, one can estimate the age profile of earnings, saving and fertility rates from household survey data. The life tables can then be used to compute the aggregate savings rate and population size. Any demographic policy which affects the fertility rate, life expectancy, and investment in the quality of children will change the aggregate saving and population growth rates. These two aggregate effects could be compared to evaluate demographic policies. The author stresses, however, that changes in different demographic factors will have different short-run and long-run effects upon the savings rate which will also depend upon whether such changes are transitory or permanent.     

Longevity,Fertility and Economic Growth: Do Environmental Factors Matter?

Our study examines the effect of environmental factors on the economic decisions regarding fertility. We incorporate health‐damaging pollution into a three period overlapping generations model in which life expectancy, fertility and economic growth are all endogenous. We show that environmental factors can cause significant changes to the economy's demographics. In particular, the entrepreneurial choice of less polluting production processes, induced by a tax on emissions, can at some point in time lead to such changes as higher longevity and lower fertility rates. Thus, we provide a novel explanation on the positive relation between fertility rates and pollution. According to this, the causality on this relation may also work from the latter to the former. Furthermore, our model can account for the empirically observed N‐shaped correlation between pollution and income per capita.     

Early Mortality Declines at the Dawn of Modern Growth*

We explore the hypothesis that demographic changes which began in the seventeenth and eighteenth centuries are at the root of the acceleration in growth rates at the dawn of the modern age. During this period, life tables for Geneva and Venice show a decline in adult mortality; French marriage registers reveal an important increase in literacy; historians measure an acceleration of economic growth. We develop an endogenous growth model with a realistic survival law in which rising longevity increases individual incentives to invest in education and fosters growth. We quantitatively estimate that the observed improvements in adult mortality account for 70% of the growth acceleration in the pre‐industrial age.     

Demographics and real interest rates: Inspecting the mechanism

The demographic transition can affect the equilibrium real interest rate through three channels. An increase in longevity—or expectations thereof—puts downward pressure on the real interest rate, as agents build up their savings in anticipation of a longer retirement period. A reduction in the population growth rate has two counteracting effects. On the one hand, capital per-worker rises, thus inducing lower real interest rates through a reduction in the marginal product of capital. On the other hand, the decline in population growth eventually leads to a higher dependency ratio (the fraction of retirees to workers). Because retirees save less than workers, this compositional effect lowers the aggregate savings rate and pushes real rates up. We calibrate a tractable life-cycle model to capture salient features of the demographic transition in developed economies, and find that its overall effect is a reduction of the equilibrium interest rate by at least one and a half percentage points between 1990 and 2014. Demographic trends have important implications for the conduct of monetary policy, especially in light of the zero lower bound on nominal interest rates. Other policies can offset the negative effects of the demographic transition on real rates with different degrees of success.     

On the persistence of income shocks over the life cycle: Evidence,theory, and implications

How does the persistence of earnings change over the life cycle? Do workers at different ages face the same variance of idiosyncratic earnings shocks? This paper proposes a novel specification for residual earnings that allows for an age profile in the persistence and variance of labor income shocks. We show that the statistical model is identified, and we estimate it using Panel Study of Income Dynamics data. We find that shocks to earnings are only moderately persistent (around 0.75) for young workers. Persistence rises with age, up to unity, until midway through life. The variance of persistent shocks exhibits a U-shaped profile over the life cycle (with a minimum of 0.01 and a maximum of 0.05). These results suggest that the standard specification in the literature (with age-invariant persistence and variance) cannot capture the earnings dynamics of young workers. We also argue that a calibrated job turnover model can account for these nonflat profiles. The key idea is that workers sort into better jobs and settle down as they age; in turn, magnitudes of wage growth rates decline, thereby decreasing the variance of shocks. Furthermore, the decline in job mobility results in higher persistence. Finally, we investigate the implications of age profiles for consumption–savings behavior. The welfare cost of idiosyncratic risk implied by the age-dependent income process is up to 1.6 percent of lifetime consumption lower compared with its age-invariant counterpart. This difference is mostly due to a higher degree of consumption insurance for young workers, for whom persistence is moderate. These results suggest that age profiles of persistence and variances should be taken into account when calibrating life-cycle models.     

Why Do the Rich Save More? A Theory and Australian Evidence*

We provide a theory to explain the existence of inequality in an economy where agents have identical preferences and have access to the same production technology. Agents consume a ‘health’ good which determines their subjective discount factor. Depending on initial distribution of capital the economy gets separated into different permanent‐income groups. This leads to a testable hypothesis: ‘The rich save a larger proportion of their permanent‐income’. We test this implication for savings behaviour in Australia. We find that even after controlling for lifecycle and health characteristics, higher permanent income is positively related with higher savings rates and better saving habits.     

Population ageing and inflation with endogenous money creation

This paper models a mechanism through which population ageing may induce a deflationary process. We propose an overlapping-generations model (OLG) with money created by credits (inside money) and intergenerational trade. The model links demographic factors, such as fertility rates and longevity, to prices. We show that lower fertility rates lead to smaller demand for credit and lower money creation, which in turn cause a decline in prices. Changes in longevity affect prices through real savings and the capital market. Furthermore, a few links between interest rates and inflation are addressed; they arise in the general equilibrium and are not thoroughly discussed in literature. Long-run results are derived analytically; short-run dynamics are simulated numerically.     

Should income transfers be targeted or universal? Insights from public pension influences on elderly mortality in Canada, 1921–1966

Abstract. We investigate the impact of Canada's means‐tested and universal public pension programs on the mortality rates of age groups eligible for pension benefits for the period 1921–1966. We find that only the universal program significantly reduced pension eligible age group mortality rates. The implied social value of the mortality risk reduction from this program is one‐tenth of the value per statistical life associated with contemporary government policy, meaning that Canadians did not need to place a high value on the life of a senior to justify the higher cost of the universal program. JEL classification: I3, J1     

Aging,Savings, and Public Pensions in Japan*

We analyze the impact of population aging on Japan's household savings rate and on its public pension system and the impact of that system on Japan's household savings rate and obtain the following results: first, the age structure of Japan's population can explain the level of, and past and future trends in, its household savings rate; second, the rapid aging of Japan's population is causing Japan's household savings rate to decline and this decline can be expected to continue; third, the pay‐as‐you‐go nature of the public pension system, combined with rapid population aging, created considerable intergenerational inequities and increased the savings rates of cohorts born after 1965, which in turn slowed the decline in Japan's household savings rate; and fourth, the 2004 public pension reform alleviated the intergenerational inequities of Japan's public pension system somewhat but will in the long run exacerbate the downward trend in Japan's household savings rate.     

CREDIT UNION MEMBER GROUP DOMINATION UNDER HIGH INTEREST RATE ENVIRONMENTS

Theoretical models for credit unions advocate that such organizations should pursue a neutral orientation in order to accommodate the conflicting interests of borrower members, who seek lower interest rates, and saver members, who look for higher returns on their savings. However, there is a lack of empirical support for such neutrality in high interest rate environments. This is because under such conditions, credit unions could accomplish their social mission by providing microcredit at a lower interest rate to local communities, thus becoming more borrower‐dominated. This paper investigates the member group domination of credit unions in Brazil, a country known for its high interest rates, and finds that the majority of credit unions (78.34%) are borrower‐dominated. This behavior becomes more pronounced when local interest rates rise, contradicting the predictions of neutrality‐seeking models. A percentage increase in the interest rate, increases about 5 times the likelihood of a CU becoming extreme borrower‐dominated. Besides interest rates, age, lower size, capital and lower efficiency of the credit unions are the main determinants of borrower domination.     

Complementarity and the Measurement of Individual Risk Tradeoffs: Accounting for Quantity and Quality of Life Effects

This paper considers the factors responsible for differences with age in estimates of the wage compensation an individual requires to accept increased occupational fatality risk. We derive a relationship between the value of a statistical life (VSL) and the degree of complementarity between consumption and labor supplied when health status serves as a potential source of variation in this relationship. Our empirical analysis finds that variations in an individual’s health status or quality of life and anticipated longevity threats lead to significant differences in the estimated wage/risk tradeoffs. We describe how extensions to the specification of hedonic wage models, including measures for quality of life and anticipated longevity threats, help to explain the diversity in past studies examining how the estimated wage–risk tradeoff changes with age.      

The Effect of Life Expectancy on Fertility,Saving, Schooling and Economic Growth: Theory and Evidence*

We construct a simple growth model where agents with uncertain survival choose schooling time, life‐cycle consumption and the number of children. We show that rising longevity reduces fertility but raises saving, schooling time and the growth rate at a diminishing rate. Cross‐section analyses using data from 76 countries support these propositions: life expectancy has a significant positive effect on the saving rate, secondary school enrollment and growth but a significant negative effect on fertility. Through sensitivity analyses, the effect on the saving rate is inconclusive, while the effects on the other variables are robust and consistent. These estimated effects are decreasing in life expectancy.     

Bequest Motives and the Demand for Life Insurance in East Germany

Empirical studies of household saving remain inconclusive about the role of bequest motives. This may be due to the diluting effect of different tax regimes across countries and time on estimates of bequest motives. Relative to market‐based economies, the former German Democratic Republic can be viewed as an experimental institutional setting where life‐insurance demand was not influenced by tax considerations. This allows isolating bequest motives from other life‐cycle and precautionary savings motives. Analyzing the demand for life insurance, we find a significantly higher ownership probability among households with children and a high regard for the family, confirming bequest motives in life‐insurance demand.     

Population growth and savings rates: Some new cross‐country estimates

It is widely recognised that population growth can have two conflicting effects on savings. It reduces savings as it leads to more dependent children, but if balanced it can also increase savings by increasing the number entering the working part of the life cycle and hence the number of potential savers. However, this positive effect has largely been ignored in the empirical literature. Based on the population growth rate as its measure and an augmented cross‐country life cycle regression model evidence for its existence is confirmed. Confidence in the estimates is undermined by tests indicating that in many countries over the relevant period population growth was not in steady state balance. This is ameliorated by the high regression R²s and by comparable labour force growth rate estimates, but it was also found that the estimates could not be interpreted as evidence that countries with more rapid population growth rates actually save more. This is because the negative impact of larger families was found to outweigh any increase in savings because of more families. The net elasticity effect was calculated to be ??0.08. The paper concludes that savings continues to be a cost of rapid population growth, but perhaps not quite as debilitating as some might have presumed.     

为结婚而储蓄?——来自中国家庭追踪调查①(CFPS)的经验证据

已有研究主要基于性别比失衡的竞争性储蓄动机解释了中国家庭的高储蓄之谜.文章把子女结婚这一自然事件作为处理变量,通过婚前和婚后的家庭储蓄变化识别出"婚姻效应",为竞争性储蓄动机理论和中国家庭的高储蓄之谜提供了微观证据.研究结果发现,在控制个人以及家庭特征后,相对于已婚家庭,未婚家庭储蓄显著更高.在排除地区性差异、教育储蓄动机、预防性储蓄动机和样本匹配等问题之后,未婚比已婚家庭具有更高储蓄水平的结论依然稳健.文章进一步分析识别出了城市和农村异质"婚姻效应"和婚后消费结构的变化,发现"婚姻效应"对不同收入水平的家庭都产生了影响,但"婚姻效应"对低收入家庭的消费抑制更为明显.文章的研究结果丰富了婚姻市场的竞争性储蓄动机理论.