the trick is to live is the estate tax social security for the rich because estate tax liability usually depends on how long one lives it implicitly provides annuity income in the absence of annuity markets lump sum estate taxation may be used to achieve the first best solution for individuals with a sufficiently strong bequest motive calculations of the annuity embedded in the u s estate tax show that people with 10 million of assets may be effectively receiving more than 100 000 a year financed at actuarially fair rates by their tax payments according to my calibrations the insurance effect reduces the marginal cost of funds mcf for the estate tax by as much as 30 percent and the resulting mcf is within the range of estimates for the mcf for the income tax

the optimal level of social security benefits the optimal level of social security benefits depends on balancing the protection that these benefits offer to those who lack the foresight to provide for their own old age against the welfare costs of distorting economic behavior the primary such cost is the distortion in private saving the present paper derives the level of social security benefits that is optimal in three basic cases in the first section the paper derives the optimal level of benefits for an economy in which all individuals do not anticipate retirement at all and therefore do no saving the second and third sections then derive optimal benefits for two different definitions of incomplete myopia

inflation and income inequality in a variety expansion growth model with menu costs abstract this study explores the effect of inflation on income inequality in a growth model with variety expansion and menu costs inflation is found to determine income inequality via both asset value and interest rates effects our numerical analyses show that higher inflation turns these effects negative stifling economic growth and mitigating income inequality

labor supply and the optimality of social security abstract traditional economic theory predicts that an unfunded public pension system can be justified on the basis of its ability to provide intergenerational transfers and also for its ability to provide partial insurance against mortality and labor income risks in this paper i demonstrate that the quantitative importance of these traditional roles depends on how the pension system distorts households labor supply decisions using a general equilibrium life cycle consumption model calibrated to the u s economy i show that these distortions can be large enough to erase much of the traditional welfare gains from social security i also find that this fact is robust within the range of labor supply elasticities usually encountered in the macroeconomic literature

wealth distribution in life cycle economies abstract this paper compares the age wealth distribution produced in life cycle economies to the corresponding distribution in the us economy the idea is to calibrate the model economies to match features of the us earnings distribution and then examine the wealth distribution implications of the model economies the findings are that the calibrated model economies with earnings and lifetime uncertainty can replicate measures of both aggregate wealth and transfer wealth in the us furthermore the model economies produce the us wealth gini and a significant fraction of the wealth inequality within age groups however the model economies produce less than half the fraction of wealth held by the top 1 percent of us households

time inconsistent preferences and social security in this paper we examine the role of social security in an economy populated by overlapping generations of individuals with time inconsistent preferences who face mortality risk individual income risk and borrowing constraints we find that unfunded social security lowers the capital stock output and consumption for consumers with time consistent or time inconsistent preferences however it may raise or lower welfare depending on the strength of time inconsistency

capital accumulation in a stochastic overlapping generations model with social security abstract this paper analyzes the impact of pay as you go financed social security on the stochastic process for the capital stock in a stochastic overlapping generations model it is shown that the probability distribution of the capital stock in absence of social security dominates that in a pay as you go system in the sense of stochastic dominance furthermore the study demonstrates that the sufficient conditions ensuring the existence and uniqueness of stationary equilibria in a pay as you go system are more restrictive than in the model without social security journal of economic literature classification numbers c62 h55

the effect of social security on the steady state distribution of consumption abstract abel has shown that the introduction of a fully funded social security ss would decrease the variances of the steady state distribution of young period and old period consumptions eckstein et al have shown that a perfect ss would increase the steady state expected utility of consumptions we intend to give a caveat on their positive results by showing that the assumptions from which the above propositions are derived have some unrealistic implications and that by replacing these assumptions with more reasonable ones we may obtain very different results the only positive conclusion we are certain of is that a marginal ss insurance in the no insurance situation can always reduce the steady state coefficient of variation of both young and old period consumption distributions

social security and the failure of annuity markets abstract this paper investigates the effect of asymmetric information on the market for annuities when individuals are assumed to differ in the probability distribution of dying individual behaviour under life insured and term insured annuities is investigated the market for such annuities is studied when the insurer cannot distinguish long lived from short lived retirees unlike the well known results of rothschild and stiglitz it is shown that if an equilibrium exists it can be either a pooling or a separating equilibrium given the same information as the private sector a planner will be able to achieve an optimum under certain circumstances

aggregate and distributional effects of fair social security abstract in an overlapping generations economy with production endogenous labor supply a bequest motive and uncertain lifetime we show that a fair fully funded social security program reduces the aggregate levels of output employment capital and savings we determine the necessary and sufficient conditions for this social security program to increase the inequality of the income distribution the conclusions apply to the entire non stationary competitive equilibrium path taken by the economy following the introduction of social security

differential mortality and the progressivity of social security abstract there is a well established negative correlation between earnings and mortality risk using a calibrated general equilibrium macroeconomic model this paper examines how this correlation interacts with the welfare implications of social security s benefit earnings rule my primary findings suggest that the welfare ranking of alternative benefit earnings rules is somewhat sensitive to differential mortality due to their relatively high mortality risk households with unfavorable earnings histories heavily discount the expected utility from old age consumption and therefore do not put much weight on better work retirement consumption smoothing because of this reason social security s benefit earnings rule warrants less redistribution in the presence of differential mortality compared to when mortality risk is uncorrelated to earnings i find that this result continues to hold when household level labor supply distortions are ignored and also when an alternative maximin welfare criterion is considered but not when accidental bequests from the deceased are redistributed to the survivors

consumption income and retirement the authors use canadian family expenditure survey data to estimate consumption and income age profiles for married couple families paying attention to the transition between work and retirement the common presumptions of numerical simulation life cycle models upward sloping consumption age profiles and dissaving in retirement are not supported there is some evidence that the consumption of certain blue collar households declines discontinuously near retirement which casts doubt upon the frequently encountered assumption that the marginal utility of consumption is independent of the quantity of leisure consumed the results also imply that the functional form of euler equations should be sufficiently flexible to permit preretirement consumption to have an inverted u shape in addition the paper shows that the uncertain lifetime model with the addition of a bequest motive can rationalize the empirical results

micro and macro elasticities in a life cycle model with taxes we build a life cycle model of labor supply that incorporates changes along both the intensive and extensive margin and use it to assess the consequences of changes in tax and transfer policies on equilibrium hours of work we find that changes in taxes have large aggregate effects on hours of work moreover we find that there is no inconsistency between this result and the empirical finding of small labor elasticities for prime age workers in our model micro and macro elasticities are effectively unrelated our model is also consistent with other cross country patterns

survival ambiguity and welfare abstract nearly all life cycle models adopt yaari s 1965 assumption that individuals know the survival probabilities that they face given that an individual s exact survival probabilities are likely unknown we explore the implications of relaxing this assumption if there is no annuity market then the welfare cost of survival ambiguity is large and regressive ambiguity neutral individuals would pay as much as 1 of total lifetime consumption for immediate resolution of ambiguity and the bottom income quintile is 4 times worse off than the top quintile alternatively with the availability of competitive annuity contracts survival ambiguity is welfare improving because it allows competitive insurance companies to pool risk across survival types even though social security and annuities share some properties social security does not help to hedge survival ambiguity

government intervention as a bequest substitute abstract a subsequent generations model is used in order to characterize consumption allocation under the future generation s income uncertainty altruistic concerns towards future generations give rise to precautionary bequests which act as a hedge on risk it is shown that given a first order correlation between mean future income and the present generation s income government can provide a pareto improvement through a tax transfer policy with universal participation this policy acts as a substitute for precautionary bequests distributional aspects of government tax transfer policy are also discussed

structural transformation and the deterioration of european labor market outcomes this paper examines hours worked in continental europe and the united states from 1956 to 2003 the empirical work establishes two results first hours worked in europe decline by almost 45 percent compared to the united states over this period second this decline is almost entirely accounted for by the fact that europe develops a much smaller market service sector than the united states a simple model of time allocation is used to understand these patterns i find that relative increases in taxes and technological catch up can account for most of the differences between the european and american time allocations over this period

a theory of intergenerational altruism modeling intergenerational altruism is crucial to evaluate the long term consequences of current decisions and requires a set of principles guiding such altruism we axiomatically develop a theory of pure direct altruism altruism is pure if it concerns the total utility rather than the mere consumption utility of future generations and direct if it directly incorporates the utility of all future generations our axioms deliver a new class of altruistic forward looking preferences whose weight put on the consumption of a future generation generally depends on the consumption of other generations the only preferences lacking this dependence correspond to the quasi hyperbolic discounting model which our theory characterizes our approach provides a framework to analyze welfare in the presence of altruistic preferences and addresses technical challenges stemming from the interdependent nature of such preferences

taxation and household labor supply we evaluate reforms to the u s tax system in a life cycle setup with heterogeneous married and single households and with an operative extensive margin in labor supply we restrict our model with observations on gender and skill premia labor force participation of married females across skill groups children and the structure of marital sorting we concentrate on two revenue neutral tax reforms a proportional income tax and a reform in which married individuals flle taxes separately separate flling our flndings indicate that tax reforms are accompanied by large increases in labor supply that difier across demographic groups with the bulk of the increase coming from married females under a proportional income tax reform married females account for more than 50 of the changes in hours across steady states while under separate flling reform married females account for all the change in hours

rising mortality and life expectancy differentials by lifetime earnings in the united states are mortality and life expectancy differences by socioeconomic groups increasing in the united states using a unique data set matching administrative and survey data this study explores trends in these differentials by lifetime earnings for the 1983 2003 period results indicate a consistent increase in mortality differentials across sex and age groups the study also finds a substantial increase in life expectancy differentials by lifetime earnings the top to bottom quintile premium increased 30 percent for men and almost doubled for women these results complement recent research to point to almost five decades of increasing differential mortality in the united states

national and international privatisation of pensions abstract the paper analyses the switch from pay as you go to funded pensions pensions privatisation in a world with many small open economies it contrasts go it alone privatisation in one country with world wide privatisation in the go it alone case at least one generation necessarily loses in the world wide case the long run gains are substantially larger and depending on the nature of production technology an intergenerational pareto improvement is possible this generates a potential isolation paradox each country may individually reject privatisation because some people will lose but this need not happen if all privatised simultaneously this problem occurs because the adoption of payg pensions in any one country imposes international externalities on other countries via the impact on world interest rates

inter vivos transfers and bequests in three oecd countries reforms reducing the generosity of pensions have distributional effects on future generations if individuals care about their descendants welfare but only affect elderly individuals if bequests are the unintentional result of precautionary savings and safety net programmes such as unemployment insurance may displace sources of private help such as that provided by living parents to their children in need this paper provides comparable measures of how expected bequests and transfers vary with cumulated parental earnings in the united states west germany and the united kingdom the strength of bequest motives is empirically very weak in the available data private inter vivos transfers which appear to depend on the recipients economic situation are partly crowded out by public unemployment insurance programmes together involuntary bequests and intentional inter vivos transfers appear to be an important channel of intergenerational inequality transmission and strengthen substantially the relationship between an individual s and his parents economic status ernesto villanueva

a foundation of location theory consumer preferences and demand abstract location models with a continuum of consumers have severe conceptual shortcomings this article considers an alternative foundation for location economics the commodity space of each of a finite number of consumers is the collection of measurable subsets of land this space is so large that a solution to the consumer maximization problem does not always exist the main result is the definition and use of a topology on land parcels to show that a solution will always exist for utilities continuous with respect to the topology the underlying preferences are exposed

rising longevity education savings and growth this paper examines the impact of declines in adult mortality on growth in an overlapping generations model with public education and imperfect annuity markets a decline in mortality affects growth through three channels first it raises the saving rate and thereby increases the rate of physical capital accumulation second it reduces accidental bequests lowers investment and thereby lowers the rate of physical capital accumulation third it may lead the median voter to increase the tax rate for public education initially but lower the tax rate in a later stage starting from a high mortality rate as found in many third world populations the net effect of a decline in mortality is to raise the growth rate however starting from a low mortality rate such as is found in most industrial populations the net effect of a further decline in mortality is to reduce the growth rate the findings appear consistent with recent empirical evidence

uncertain lifetimes retirement and economic welfare the effect of increased life expectancy on retirement age is ambiguous because a change in the survival probability is analogous to a change in intertemporal prices it is shown that the decision to retire earlier or later depends on the old age saving behavior early retirement could emerge if one saves in old age it is also shown that the effect of intertemporal substitutions arising from the imperfection of the annuity market could produce a tilt to the reservation wage profile which in turn makes early retirement possible copyright 1991 by the london school of economics and political science

the family as an incomplete annuities market families can self insure against uncertain dates of death through implicit or explicit agreements with respect to consumption and interfamily transfers interfamily transfers need have nothing to do with altruistic feelings they may simply reflect risk sharing behavior of completely selfish family members although family annuity markets are incomplete even small families can substitute by more than 70 percent for perfect market annuities given adverse selection and transaction costs family risk pooling may be preferred to public market annuities in the absence of public annuities these risk sharing arrangements provide powerful incentives for marriage and family formation

social security and the rise in health spending abstract in a quantitative model of social security with endogenous health i argue that social security increases the aggregate health spending of the economy because it redistributes resources to the elderly whose marginal propensity to spend on health is high i show by using computational experiments that the expansion of us social security can account for over a third of the dramatic rise in us health spending from 1950 to 2000 in addition social security has a spill over effect on medicare as social security increases health spending it also increases the payments from medicare thus raising its financial burden

social security and retirement across the oecd abstract employment to population ratios differ markedly across organization for economic cooperation and development oecd countries especially for people aged over 55 years in addition social security features differ markedly across the oecd particularly with respect to features such as generosity entitlement ages and implicit taxes on social security benefits this study postulates that differences in social security features explain many differences in employment to population ratios at older ages this conjecture is assessed quantitatively with a life cycle general equilibrium model of retirement at ages 60 64 years the correlation between the simulations of this study s model and observed data is 0 67 generosity and implicit taxes are key features to explain the cross country variation whereas entitlement age is not

growth effects of flat rate taxes recent estimates of the potential growth effects of tax reform vary wildly ranging from zero to eight percentage points using an endogenous growth model we assess which model features and parameter values are important for determining the quantitative impact of tax reform we find that the critical parameters are factor shares depreciation rates the elasticity of intertemporal substitution and the elasticity of labor supply the elasticities of substitution in production on the other hand are relatively unimportant the quantitative estimates in several recent papers are compared with each other and with some of the evidence from u s experience we find that robert lucas s conclusion that tax reform would have little or no effect on the u s growth rate is theoretically robust and consistent with the evidence

operative gift and bequest motives the ricardian equivalence theorem which is the proposition that changes in the timing of lump sum taxes have no effect on assumption or capital accumulation depends on the exist of operative altruistic motives for intergenerational transfers these transfers can be bequests from parents to children or gifts from children to parents in order for the ricardian equivalence theorem to hold one of these transfer motives must be operative in the sense that the level of the transfer is not determined by a corner solution resulting from a binding non negativity constraint this paper derives conditions that determine whether the bequest motive will be operative the gift motive will be operative or neither motive will be operative in a model in which consumers are altruistic toward their parents and their children this abstract was borrowed from another version of this item

pay as you go social security and the distribution of altruistic transfers this paper studies the impact of an unfunded social security system on the distribution of altruistic transfers in a framework where savings are due to both life cycle and random altruistic motivations we show that the effect of social security on the distribution of these transfers depends crucially on the strength of the bequest motive in explaining savings behaviour we measure this strength by the expected weight that individuals attach to the utility of future generations on the one hand if the bequest motive is strong then an increase in the social security tax raises the bequests left by altruistic parents on the other hand when the importance of altruism in motivating savings is sufficiently low the increase in the social security tax could result in a reduction of the bequests left by altruistic parents under some conditions on the attitude of individuals toward risk and on the relative returns associated with private saving and social security some implications concerning the transitional effects of introducing an unfunded social security scheme are also discussed

the effect of inheritance receipt on retirement abstract this paper provides new evidence on how wealth shocks influence retirement behavior economic theory generally posits that leisure is a normal good yet it is difficult to obtain reliable empirical estimates of the wealth effect because wealth is correlated with numerous unobservable characteristics that affect labor supply we use inheritance receipt as a wealth shock and find that it is associated with a significant increase in the probability of retirement especially when the inheritance is unexpected this evidence has important implications for how public policies such as pension or tax reform may influence retirement behavior through the wealth effect

the optimal inflation rate under schumpeterian growth abstract to analyze the relationship between inflation and economic growth we construct an endogenous growth model with creative destruction incorporating sticky prices due to menu costs price changes reduce the reward for innovation and thus lower the frequency of creative destruction central banks can maximize the growth rate by setting their inflation target at the negative of a fundamental growth rate while the optimal inflation rate may be greater than the growth maximizing inflation rate our calibrated model shows that the optimal inflation rate is close to the growth maximizing inflation rate and that a deviation from the optimal level has sizable impacts

longevity and public old age pensions i introduction conventional economic analysis of intertemporal or intergenerational resource allocation takes longevity as exogenously determined by biological or technological factors within this framework the institution of a mandatory public old age pensions of a pay as you go type unambiguously reduces capital accumulation the intuition behind this result is that when the young expect an old age pension after retirement and at the same time pay an earmarked payroll tax that lowers disposable income the ability and the incentive to save are reduced such a result however ignores the possibility that an individual who has a survivorship contingent title to an old age pension might use resources to increase the likelihood of survival to acquire the promised pension the fact that over the past century both longevity and the size of old age pensions have risen suggests that a more complete model that incorporates longevity as a choice variable may be useful in understanding the simultaneous increase in longevity and old age pensions ehrlich and chuma 1990 consider the demand for longevity in a world where the certain length of life is a fixed function of health care expenditures thus making longevity endogenous in their model consumers choose the optimal depreciation rate for human capital by choosing the path of health care expenditures their work paves the way for consideration of the effect of longevity contingent property rights on behavior in a more recent paper philipson and becker 1998 build on the work of ehrlich and chuma by modeling longevity contingent claims in the form of old age pensions among other things they find that an increase in a longevity contingent old age pension will induce individuals to live longer as a result of this longer life philipson and becker question the traditional result that pay as you go old age pensions always reduce the capital stock because workers who choose greater longevity may also choose to save more during their working years to finance their longer retirement period in this paper we introduce endogenous and uncertain lifetime into a two period overlapping generations olg model we depart from the traditional diamond type olg model by measuring longevity as the probability of survival into the second period and by allowing individuals to affect their survival probability through spending on longevity extending activities within this framework we examine the effects of a pay as you go old age pension on longevity and capital accumulation under two polar assumptions concerning the existence and absence of a fair intragenerational annuity market in either case the longevity effect of an increase in the old age pension is neutral while the capital stock effect is strictly negative if the interest rate and population growth rate are equal e g if the economy is on a golden rule path surprisingly increasing the old age pension produces both a negative longevity and savings effect for the more relevant case where the interest rate is larger than the population growth rate that an increase in the old age pension produces a negative capital stock effect is anticipated but the neutral or negative effect on longevity is counterintuitive it is counterintuitive because the empirical evidence seems to show lockstep increases in both longevity and government provided retirement benefits in the form of pensions and heath care benefits furthermore longevity insurance conjures up the moral hazard problem where increased utilization is expected with government provision the funding pool expands with use the cost being borne by workers the fact that the workers bear the burden of increasing the old age pension helps explain the longevity results we obtain when the population grows at the same rate as the return on capital an increase in the pension is offset by a dollar for dollar reduction in private savings leaving second period consumption unchanged

the individual life cycle annuity market imperfections and economic growth we study the effects of an annuity market imperfection on individual agents life cycle decisions and on the macroeconomic growth rate in an overlapping generations model with single sector endogenous growth our model features both age dependent mortality and labour productivity we model imperfect annuities by introducing a load factor on the annuity rate faced by finitely lived agents our main finding is that annuity market imperfections decrease economic growth because less assets are necessary for consumption late in life in addition we find that both the quantitative and qualitative effects of annuity market imperfections are grossly overestimated in a partial equilibrium analysis because it disregards general equilibrium repercussions

new evidence on the ricardian equivalence theorem a multicointegration approach this paper derives major theoretical constructs which underlie richardian equivalence and using multicointegration methodology empirically tests whether they bear out results indicate that government spending and revenues are cointegrated however the cointegrating scalar is less than one therefore in order for government to obey its intertemporal budget constraint debt and government revenue must be multicointegrated they are not additional evidence indicates that saving and debt may be weakly cointegrated the findings suggest that failure of richardian equivalence may be due to public rather than private sector failure

income uncertainty bequests and annuities abstract life uncertainty and income uncertainty are modeled simultaneously in order to analyze the influence of perfecting income insurance in the size of bequests and the demand for annuities the main result shows that government intervention aimed at providing intergenerational risk sharing acts as a bequest substitute and if annuities are available reduces the demand for annuities

social security and individual welfare precautionary saving borrowing constraints and the payroll tax this paper examines the impact of social security on national saving and individual welfare in the presence of realistic capital market imperfections market failure in the private provision of annuities and restrictions on borrowing against anticipated future wages the introduction of social security increases lifetime welfare and reduces national saving if borrowing restrictions are absent however the increase in individual welfare is reduced and in some cases eliminated when borrowing constraints are taken into consideration the substantial difference suggests the importance of reexamining the proportional payroll tax finance of social security copyright 1987 by american economic association

how inheriting affects bequest plans we present and test the idea that bequest planning is linked with the experience of inheriting we consider a family tradition of bequeathing as a channel through which the intention to bequeath is moulded by and is positively correlated with the experience of inheriting using data from the survey on health ageing and retirement in europe share we find that the experience of inheriting enhances the intention to bequeath independently of the positive impact of wealth we also find that the expectation of inheriting has a positive impact on the intention to bequeath controlling for the expected increase in wealth on account of future inheritances

social security and self control preferences abstract we analyze the welfare effects of an unfunded social security system we do so using an overlapping generations economy wherein agents have self control preferences face mortality risk individual income risk and borrowing constraints given our specification of preferences unfunded social security helps reduce the agents temptation to consume in every period consequently the welfare costs it otherwise entails are substantially mitigated while both social security and self control when considered separately reduce welfare their combination renders this effect considerably less severe moreover if the cost of resisting temptation is very high the introduction of social security might even improve welfare

competitive equilibria in production economies with an infinite dimensional commodity space the existence of competitive equilibrium is established for economies with a produc tion sector and an infinite dimensional space of commodities the cru cial assumptions which are required beyond those required in the fin ite dimensional setting are bounds on marginal rates of substitution and marginal rates of transformation copyright 1987 by the econometric society

uncertainty and optimal social security systems this paper examines the annuity aspect of social security within the framework of an overlapping generations model the duration of life is assumed to be uncertain under a fully funded system demand for social security is determined by each generation so as to maximize expected lifetime utility taking into account the welfare of future generations under a pay as you go system with intergenerational transfers demand for retirement benefits by the working population takes into account taxes paid by descendants it is shown that the two modes of finance are equivalent in terms of all real aggregates effects of changes in expected lifetime and in the birth rate are analyzed starting at the optimal level a compulsory balanced increase in social security taxes and benefits is shown to increase short run savings

social security and cross country differences in hours a general equilibrium analysis abstract i develop a general equilibrium life cycle model with an intensive and extensive margin of labor supply and endogenous human capital accumulation i use the model to assess the effects of changes to various features of social security on labor supply outcomes of particular interest are changes to the scale of the program and to the relevant eligibility rules i find that the cross country differences in social security programs account for at least 79 of the differences in employment rates of people aged 55 64 and 17 31 of the differences in aggregate hours worked between the us and continental europe

social security national policies with international implications social security policies within individual countries are determined independently by national governments but the resulting outcome is inefficient compared with what would result from the international co ordination of policies this is because national social security policies produce international externalities via their effects on world interest rates an illustrative example suggests that the gains from co ordination are potentially significant virtually all countries operate social security or redistributive policies each chooses policies independently and to my knowledge no one either in a policymaking context or in the large literature on international policy co ordination has suggested that such decisions would benefit from international coordination 1 however a simple argument suggests that independent national social security policies are inefficient more specifically in the long run national governments make policy decisions which are too egalitarian this holds provided that social security lowers national saving in this case each national government faces a trade off between income redistribution and national saving and can be assumed to locate at the nationally optimal point on this trade off taking as given the world interest rate the latter is clearly not independent of the combined effect of all countries policies however if all countries expand social security the resulting fall in world saving will raise the world interest rate with adverse consequences for each national economy each country rationally ignores its own small contribution to the global outcome if this international externality were internalised by co ordination countries would relocate on the trade off between income redistribution and national saving demonstrating the existence of an externality says nothing about its quantitative significance i address this with an example which focuses on pay as you go payg retirement pensions in an economy with a mixture of forward looking and myopic individuals the pensions prevent destitution among retired myopes and thus effectively redistribute life time welfare but they also lower saving because of payg financing for all parameter values considered international co ordination of pensions policy decisions generates welfare gains which are larger for many parameter values substantially larger than recent estimates of the welfare gains from either the entire elimination of all cyclical fluctuations or the reduction of inflation and nominal interest rates from suboptimally high to optimal levels hence the issues addressed in the paper are quantitatively significant when judged against other frequently advocated i am grateful to two anonymous referees for helpful comments on earlier versions they are not responsible for the present version

understanding why high income households save more than low income households abstract we use a calibrated life cycle model to evaluate why high income households save as a group a much higher fraction of income than do low income households in us cross section data we find that 1 age and relatively permanent earnings differences across households together with the structure of the us social security system are sufficient to replicate this fact 2 without social security the model economies still produce large differences in saving rates across income groups and 3 purely temporary earnings shocks of the magnitude estimated in us data alter only slightly the saving rates of high and low income households

the distribution of wealth and welfare in the presence of incomplete annuity markets this paper examines the implications of the absence of complete annuity markets on the distribution of wealth and welfare of agents whose saving decisions are obtained under uncertainty regarding the length of their life the absence of annuities is shown to yield a unique nondegenerate intragenerational distribution of wealth which is fully characterized this characterization is then used to evaluate the pareto desirability of an annuity system alternative welfare criteria that can be used when the proposed change has differential impacts on the initial state of subsequent generations are considered

accounting for non annuitization why don t people buy annuities several explanations have been provided by the previous literature large fraction of preannuitized wealth in retirees portfolios adverse selection bequest motives and medical expense uncertainty this paper uses a quantitative model to assess the importance of these impediments to annuitization and also studies three newer explanations government safety net in terms of means tested transfers illiquidity of housing wealth and restrictions on minimum amount of investment in annuities this paper shows that quantitatively four explanations play a big role in reducing annuity demand preannuitized wealth minimum annuity purchase requirement illiquidity of housing wealth and bequest motives the annuity purchase involves big upfront investment especially if there is a minimum purchase restriction this is binding for many especially if housing is illiquid and part of wealth is preannuitized while bequest motives significantly reduce the overall annuity demand the model with a strong bequest motive cannot match the empirical fact that high income people have the highest demand for annuities

supply and equilibrium in an economy with land and production a model with a finite number of consumers trading in land that can be changed through production is examined unlike most other models in urban economics land is modeled as measurable subsets of a compact set formally there are three major results conditions are found under which a solution to the producer s profit maximization problem exists secondly conditions are found under which a solution to the consumer s problem exists the assumptions used to prove these two results are standard finally the existence of an equilibrium is demonstrated copyright 1990 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

a theory of time preference grant a taylor this article proposes that people generally prefer present consumption to future consumption because their expected utility from consumption eventually falls as their mental and physical abilities eventually decline with age moreover contrary to the ubiquitous intertemporal formulation with a constant rate of time preference and contrary to three recent theories of time preference that predict decreasing discounting as people age this article asserts that discounting increases over the life cycle this hypothesis is supported by data from the panel study of income dynamics as well as evidence from numerous previous studies jel d91 1 introduction despite the almost universal assumption of time preference in models of intertemporal choice an adequate explanation of why people discount the future has not been provided 1 olsen and bailey 1981 make a convincing case for positive time preference by contradiction i e without time preference models of intertemporal choice do not yield predictions consistent with observed behavior but they do not explain why individuals would rationally discount the future 2 three recent studies have attempted to provide the explanation rogers 1994 argues that societies that discount the future at a rate of about 2 will be the long run survivors in an evolutionary fitness situation 3 posner 1995 argues that discounting occurs because individuals have multiple selves that is people are weighting their present consumption far more heavily than their future consumption because the present self and the future self are in some meaningful sense separate persons 92 becker and mulligan 1997 argue that discounting occurs because of a rational defective recognition of future utilities 730 but as will be shown these three theories are inconsistent with empirical evidence on consumption over the life cycle in at least one important aspect this article constructs and empirically supports a new theory of time preference the hypothesis is that people do not have an intrinsic preference for present consumption relative to future consumption instead the instantaneous utility function also known as the felicity function is expected to vary with age just as people s physical and mental abilities vary with age in other words the ability to enjoy consumption eventually deteriorates over the life cycle along with other abilities this life cycle view of the expected utility function causes people to rationally devalue consumption in periods of low expected felicity that is discount future consumption perhaps this is what is meant by the cliche don t wait until you are too old to enjoy it moreover this causes individuals implicit discount rates to vary systematically with age 4 in fact this provides the testable implication of the theory the standard specification of intertemporal preferences holds the discount rate constant over th e life cycle 5 to be more precise in the early stage of the life cycle the capacity to enjoy consumption may be expected to rise hence a young individual s discount rate may be negative figure 1 illustrates this possibility with a hypothetical adult life cycle marginal felicity function for a given level of consumption u sub c c a c denotes consumption and a denotes age and its corresponding discount rate function rho a the vast majority of wealth is held by older people that is those in the declining stage of their abilities thus the preference for present consumption over future consumption appears to hold in the aggregate this view of intertemporal preferences may at first seem inconsistent with practically all dynamic analyses which are based on the notion of stationary utility on further consideration however the hypothesis is quite consistent with modern consumer theory since becker 1965 it has been widely accepted that households derive utility from commodities that are produced with market goods combined with household time and skills i

the role of intergenerational transfers in aggregate capital accumulation this paper uses historical u s data to directly estimate the contribution of intergenerational transfers to aggregate capital accumulation the evidence presented indicates that intergenerational transfers account for the vast majority of aggregate u s capital formation only a negligible fraction of actual capital accumulation can be traced to life cycle or hump savings a major difference between this study and previous investigations of this issue is the use of more accurate longitudinal age earnings and age consumption profiles these profiles are simply too flat to generate substantial life cycle savings this paper suggests the importance of and need for substantially greater research and data collection on intergenerational transfers life cycle models of savings that emphasize savings for retirement as the dominant form of capital accumulation should give way to models that illuminate the determinants of intergenerational transfers

capital accumulation and uncertain lifetimes with adverse selection this paper examines the implications of adverse selection in the private annuity market for the pricing of private annuities and the consequent effects on constrption and bequest behavior with privately known heterogeneous mortality probabilities adverse selection causes the rate of return on private annuities to be less than the actuarially fair rate based on population average mortality however a fully funded social security system with compulsory participation can offer an implied rate of return equal to the actuarially fair rate based on population average mortality thus since social security offers a higher rate of return than private annuities consumers cannot completely offset the effects of social security by transacting in the private annuity market using an overlapping generations model with uncertain lifetimes we demonstrate that the introduction of actuarially fair social security reduces the steady state rate of return on annuities and raises the steady state levels of average bequests and average consumption of the young the steady state national capital stock rises or falls according to the strength of the bequest motive this abstract was borrowed from another version of this item

uncertain lifetimes and the welfare enhancing properties of annuity markets and social security this paper explores the implications of social security programs and annuity markets through which agents who are characterized by different distributions of length of lifetime share deathrelated risks when annuity markets operate a non discriminatory social security program affects only the intragenerational allocation of resources in the absence of private information regarding individual survival probabilities such a program will lead to a non optimal intragenerational allocation of resources however the presence of adverse selection considerations gives rise to a pareto improving role for a mandatory non discriminatory social security program

policy watch death watch for the estate tax the idea of making death a taxable event infuriates some people winston churchill called estate taxes an attempt to tax dead people rather than the living steve forbes campaigned in favor of no taxation without respiration bruce bartlett 1997 points out that a key plank in the communist manifesto was the abolition of inheritance rights opponents deride the death tax as inefficient inequitable and complex violating every norm of good tax policy supporters counter that the criticisms are overstated or wrong and argue that a highly progressive tax that patches loopholes helps provide equality of opportunity breaks up concentrations of wealth and encourages charitable giving can t be all bad these debates raise a number of research questions for economists in policy circles the death watch for the u s estate and gift tax is on in 1999 in a vote split almost completely along partisan lines the republican majority in

the relative income hypothesis abstract despite its theoretical dominance the empirical case in favor of the permanent income hypothesis is weak contrary to one of its basic implications a growing body of evidence suggests that rich households save a higher proportion of their permanent income than poor households we propose an overlapping generations economy where households care about relative consumption as a result an individual s consumption is driven by the comparison of his lifetime income and the lifetime income of his reference group a permanent income version of duesenberry s 1949 relative income hypothesis across households the savings rate increases with income while aggregate savings are independent of the income distribution

optimal fiscal policy in the design of social security reforms the quantitative literature has documented that a privatization of the social securitysystemgenerateslargelong runwelfaregainsatthecostofwelfarelosses for transition generations in this article we maximize over the entire policy space following the optimal fiscal policy approach the resulting allocation by construction lies on the constrained pareto frontier we find that the optimal design of reforms exhibits sizeable welfare gains arising from a reduction in labor supply distortions in contrast the welfare gains coming from the reduction of savings distortions are relatively small

labor supply elasticity and social security reform abstract previous literature on social security reform has used a variety of period utility functions and calibrated values for the intertemporal elasticity of substitution ies in labor in this paper we show that the effects of social security reforms on aggregate labor supply are invariant to plausible values of the ies but the effect of such reforms on the profile of hours over the life cycle is highly sensitive to the ies we first establish these results analytically in a simple partial equilibrium setting and then demonstrate their robustness in a general equilibrium model calibrated to match key u s macroeconomic indicators we find that the aggregate effects are similar regardless of the wide range of the values of ies used in calibrated economies however social security reform leads to a large reallocation of hours worked over the life cycle from early years to later working years and the size of this reallocation significantly increases with the ies

an upper bound for wealth distribution in a model of accidental bequests abstract an explicit upper bound is calculated for wealth distribution in a model of overlapping generations with uncertain lifetimes and an imperfect annuities market

bounded rationality lifecycle consumption and social security abstract this paper explores an overlapping generations model of bounded rationality in which consumers only foresee the future over a subset of their life span we focus in particular on whether the model can in general equilibrium produce a hump shaped lifecycle consumption profile with a peak that matches data for the average u s consumer for a simple four period model we show that an increasing income profile along with exogenously imposed retirement are sufficient to induce a hump with no other mechanism that can account for a hump besides bounded rationality the model best fits the salient features of consumption data with a planning horizon of 20 years which is well supported by the behavioral evidence found in surveys on retirement planning finally we show that the age of the consumption peak is robust to the introduction of social security mortality risk and another species of bounded rationality quasihyperbolic discounting moreover social security can be welfare improving with a short planning horizon we can calibrate the model to jointly explain the timing of the consumption hump and the optimality of the current social security system with quasihyperbolic discounting instead we can calibrate the model so the current social security system is optimal but we cannot also account for the timing of the consumption hump if we add quasihyperbolic discounting in addition to a short planning horizon the present bias has a negligible effect in equilibrium

a critique of tiebout s theory of local public expenditures the last section of this paper presents a rigorous version of tiebout s theory of local public goods it is shown that equilibria exist and are pareto optimal this rigorous theory follows closely the more rigorous part of tiebout s work this rigorous theory makes a number of very special assumptions which make local public goods essentially private the body of this paper presents a series of examples which show that if one tries to generalize the rigorous version of tiebout s theory in a number of interesting directions then equilibria may no longer exist or may not be pareto optimal the conclusion is that tiebout s idea does not lead to a satisfactory general theory of local public goods the goal of this paper is to point out that tiebout s notion of equilibrium with local governments does not have the nice properties of general competitive equilibrium except under very restrictive assumptions tiebout 39 suggested that there are competitive forces which tend to make local governments allocate resources in a pareto optimal fashion consumers choose to live in those towns with the mix of taxes and public goods they prefer local governments choose this mix so as to attract inhabitants this idea may seem intriguing for it suggests that the invisible hand solves an important part of samuelson s perplexing public goods problem 32 tiebout in fact makes an argument which is nearly rigorous i give a rigorous version of his argument at the end of the paper however in this rigorous version so many restrictive assumptions are made that public goods become essentially private in the body of the paper i give a series of examples with which i try to convince the reader that one is forced to adopt tiebout s restrictive assumptions the idea is that if one changes any of his assumptions then either equilibria may not exist or may not be pareto optimal my examples are presented in the context of a general class of tiebout models i consider several subclasses one of which is the special case considered by tiebout in each of the subclasses except that considered by tiebout i give a counterexample either to the existence of equilibrium or to its pareto optimality the subclasses are so chosen that the difficulties they reveal would be shared by any reasonable tiebout model which differed from his special case i believe that my examples controvert tiebout s suggestion 39 last paragraph that his theory compares favorably with competitive equilibrium theory most of the examples in this paper have already appeared in the literature i cite related work as i go along what is new here is that i assemble the examples in a unified argument

forced saving redistribution and nonlinear social security schemes this paper studies the design of nonlinear social security schemes when individuals differ in productivity and in their degree of myopia myopic individuals may not save enough for their retirement the welfare function is paternalistic the rate of time preference of the farsighted is used for both types we show that the solution does not necessarily imply forced savings for the myopics paternalistic considerations are mitigated by incentive effects numerical results suggest that as the proportion of myopic individuals increases there is less redistribution and more forced saving and the desirability of social security increases

a characterization of the demand for land abstract in a model of an economy where land is modelled explicitly as heterogeneous subsets of the plane and utility takes an integral form demand can be characterized as a specific map from endowments and prices into subsets of the plane a modified form of the neyman pearson lemma is used to obtain this result the modification being necessary because the analog of randomized tests must be excluded from this model

innocent bystanders monetary policy and inequality abstract we study the effects of monetary policy shocks on and their historical contribution to consumption and income inequality in the united states since 1980 as measured by the consumer expenditure survey contractionary monetary policy systematically increases inequality in labor earnings total income consumption and total expenditures furthermore monetary policy shocks account for a non trivial component of the historical cyclical variation in income and consumption inequality using detailed micro level data on income and consumption we document some of the different channels via which monetary policy shocks affect inequality as well as how these channels depend on the nature of the change in monetary policy

social security uncertainty adjustments and the consumption decision this paper analyzes the consumption decision focusing on the degree of substitutability between fungible assets and prospective wealth and on the different risk adjustments associated with different types of prospective wealth the results reveal substantial differences among these risk adjustments and imply that a dollar of social security wealth substitutes for about three fifths of a dollar of fungible assets although implying that social security wealth reductions would have a positive and sizeable effect on private saving the results also suggest that such reductions could entail a substantial loss in consumer welfare copyright 1992 by the london school of economics and political science

inflation and income inequality in a schumpeterian economy with menu costs abstract this study incorporates heterogeneous households into a monetary schumpeterian growth model via menu costs to explore the effect of inflation on income inequality the source of income inequality stems from the unequal distribution across households assets given that households face the same wage rate inflation that leads to a monotonically decreasing effect on economic growth helps mitigate income inequality by weakening the contribution of asset income relative to wage income

information shocks and precautionary saving abstract skinner s 1988 risky income life cycle consumption and precautionary savings journal of monetary economics 22 237 255 second order approximation to the consumption function under crra utility is generalized to accommodate any structure of uninsurable income risk to second order a future income shock will induce precautionary saving in the present that depends on the variance of the expectation of the income shock at each intervening period however the expected rate of consumption growth depends only on the currently perceived variance of the expected present value of future income in a finite horizon model precautionary saving produces a hump shaped lifecycle profile of mean consumption primarily because the variance of future income decreases with age but the lifecycle dynamics of total wealth also affect the shape of the profile for a markov income process with autocorrelations on the order of 0 9 or less the second order approximation performs surprisingly well for common parameter choices from the literature but it does poorly as the autocorrelation approaches 1

on the continuum approach of spatial and some local public goods or product differentiation models some problems abstract models with a continuum of consumers and locations such that each consumer can purchase goods in only one location are examined such models are common in the literature of the new urban economics an approximation by economies with a finite number of consumers is shown to fail in the first two examples the continuum economy equilibrium exists and is unique but the finite economy has many equilibria example 1 or none at all example 2 in example 3 the continuum economy has no equilibrium but the finite economy has one these three examples employ location dependent utilities the fourth example illustrates the conceptual difficulties that arise in approximation when transportation cost is introduced even with location independent utilities the results are related to the literatures concerning product differentiation and spatial economies

precautionary saving and accidental bequests this paper presents a simple general equilibrium model of precautionary saving and accidental bequests this model is used to analyze the implications of individual lifetime uncertainty for aggregate consumption and capital accumulation a precautionary demand for saving arises because an individual consumer does not know in advance the date at which he will die and he wants to avoid low levels of consumption in the event that he lives longer than expected an implication of this precautionary saving is that when death does occur the consumer is generally holding some wealth which is then passed on to his heirs in the form of an accidental bequest even if all consumers have the same ex ante mortality probabilities there will be some intracohort variation in the date of death consequently there will be a nondegenerate distribution of bequests left by consumers in a cohort this nondegenerate distribution of bequests left by one generation induces variation in the distributions of wealth consumption and bequests of subsequent generations the importance of bequests in aggregate saving has been established by laurence kotlikoff and lawrence summers 1981 who reported that 80 percent of u s household wealth is inherited wealth one interpretation of this finding is that the simple life cycle model without bequest motives is an inadequate description of saving behavior in the united states but the model i present demonstrates that accidental bequests by selfish consumers can account for a potentially sizeable fraction of aggregate wealth although some part of bequests especially by the wealthy undoubtedly results from an explicit bequest motive accidental bequests also play a role in the intergenerational transfer of wealth as well as in the intragenerational variation in wealth in order to focus on the role of accidental bequests i purposely exclude a bequest motive from the specification of the utility function the effects of lifetime uncertainty on individual consumption behavior were first examined formally in a seminal paper by menachem yaari 1965 yaari s model provided the basic framework for virtually all subsequent work on uncertain lifetimes including well known papers by nils hakansson 1969 stanley fischer 1973 robert barro and james friedman 1977 david levhari and leonard mirman 1977 and kotlikoff and avia spivak 1981 however all of these papers focused on the consumption decision of an individual and ignored the effect of accidental bequests on the behavior of the recipients of these accidental bequests 2 as will be shown at various points in this paper changes in the economic environment can have effects on aggregate behavior which differ sharply from the effects on individual behavior because of the endogenous adjustment of bequests the effects of department of economics harvard university cambridge ma 02138 this paper is a revised version of bequests and social security with uncertain lifetimes nber working paper no 1372 june 1984 i thank olivier blanchard john burbidge christopher cavanagh robert clower stanley fischer benjamin friedman elhanan helpman mervyn king nobuhiro kiyotaki laurence kotlikoff robert mcdonald james pesando julio rotemberg lawrence summers lars svensson mark watson and jeffrey wolcowitz for valuable conversations and correspondence i also thank the participants in seminars at boston university columbia university cornell university federal reserve board harvard university university of iowa mit university of minnesota university of montreal national bureau of economic research north carolina state university the wharton school and yale university and two anonymous referees for their helpful comments i also thank the national science foundation for financial support 1 in the presence of perfect annuity and life insurance markets there may or may not be bequests depending on the presence or absence of a bequest motive but there would be no accidental bequests 2 kotlikoff and spivak focus on the role of the family in providing an incomplete annuities market but stop short of a full scale overlapping generations model in which the distribution of bequests is determined endogenously

bequest motives social security and economic growth junxi zhang this article conducts a systematic analysis of four bequest motives in a simple model of endogenous growth it analyzes how bequest motives affect fertility savings growth and the effects of pay as you go social security it is found that altruistic and exchange motives give equivalent outcomes if the discount factors are set the same the outcome under the joy of giving motive may involve a higher bequest ratio higher saving and better growth rates than that under altruism if bequests are accidental the equilibrium values will depend on the probability of survival moreover the results provide testable implications on bequest motives jel d1 d9 h55 j1 i introduction although the importance of bequests in aggregate savings has been established by kotlikoff and summers 1981 who reported that 80 of u s household wealth is inherited wealth what bequest motives lead to inheritance remains an unsolved problem yet it is well known that bequest motives have important implications for the behavior of financial markets the macroeconomic impacts of fiscal policies and the intergenerational transmission of inequality in the distribution of wealth at least four hypotheses for the existence of bequests have been discussed in the literature 1 bequests may arise from intergenerational altruism that is parents obtain utility from their heirs utility as well as from their own consumption barro 1974 2 the prospect of bequests is used by parents to induce children to behave as desired by parents bernheim et al 1985 3 bequests may arise from the joy of giving that is parents leave bequests simply because they obtain utility directly from the bequest yaari 1964 1 and 4 bequests may be the unintentional by product of precautionary savings and a stochastic date of death in the absence of an annuity market abel 1985 following barro 1974 and becker 1974 the altruistic bequest motive has been used most frequently however the enormous empirical work using micro data has not led to conclusive evidence on the one hand bernheim et al 1985 cox 1987 and cox and rank 1992 show that bequests are more consistent with exchange than altruism altonji et al 1992 1997 also show that altruism is decisively rejected moreover wilhelm 1996 finds little support for an altruistic theory of bequests on the other hand a recent reexamination of the exchange motive by perozek 1998 shows that the finding of bernheim et al is not robust laitner and juster 1996 find some evidence of altruistic bequests therefore a definite conclusion on bequest motives seems far from over indeed though altruism has not been supported by most of those empirical studies it remains a plausible hypothesis and continues to be used frequently see e g coate 1995 and davies and zhang 1995 abel 1985 argues theoretically that although the simple life cycle model without bequest motives is an inadequate description of the savi ng behavior in the united states as found in kotlikoff and summers 1981 accidental bequests by selfish consumers can account for a sizable fraction of aggregate wealth however little formal empirical work has been done to test whether bequests are accidental or arise from joy of giving given the lack of consensus on bequest motives it is interesting to conduct a systematic theoretical analysis of different bequest motives in a particular context becker et al 1990 and caballe 1995 assume altruism in their models of economic growth wiedmer s 1996 analysis of social security and growth does not consider bequests except ihori 1994 there seems to be no analysis of other bequest motives in the context of economic growth the purpose of this article is to analyze how different bequest motives affect fertility savings and economic growth the article will also examine how the effects of pay as you go social security depend on bequest motives

wealth inequality in the united states since 1913 evidence from capitalized income tax data this paper combines income tax returns with flow of funds data to estimate the distribution of household wealth in the united states since 1913 we estimate wealth by capitalizing the incomes reported by individual taxpayers accounting for assets that do not generate taxable income we successfully test our capitalization method in three micro datasets where we can observe both income and wealth the survey of consumer finance linked estate and income tax returns and foundations tax records wealth concentration has followed a u shaped evolution over the last 100 years it was high in the beginning of the twentieth century fell from 1929 to 1978 and has continuously increased since then the rise of wealth inequality is almost entirely due to the rise of the top 0 1 wealth share from 7 in 1979 to 22 in 2012 a level almost as high as in 1929 the bottom 90 wealth share rst increased up to the mid 1980s and then steadily declined the increase in wealth concentration is due to the surge of top incomes combined with an increase in saving rate inequality top wealth holders are younger today than in the 1960s and earn a higher fraction of total labor income in the economy we explain how our ndings can be reconciled with survey of consumer finances and estate tax data

an existence theorem on the stationary state of income distribution and population growth through a utility maximizing process individuals derive their optimal fertility and bequest decisions both as functions of their initial socioeconomic backgrounds the combination of these two decisions form a multi type galton watson process under weak assumptions it is proved that the economy will converge to a unique stationary state which implies both a constant population growth rate and a time invariant income distribution as such this paper extends the becker willis static micro level fertility demand model to a dynamic macro level population growth model alternatively our model can be viewed as a generalization of laitners stochastic income theory where no differential fertility is allowed excerpt

intergenerational transfers and the accumulation of wealth h t ouseholds acquire wealth from two sources they save out of income they have earned and they receive transfers from other people the first method of wealth accumulation goes under the name of life cycle saving in which people save during their working lives and dissave after retirement the second involves either an inter vivos transfer that is a transfer between living people or a bequest a transfer that occurs at the death of the donor while inter vivos transfers and bequests will arise in dynastic models where preferences include a taste for the well being of one s descendents few empirical life cycle models reflect these concerns indeed a sharp debate has arisen over the ability of the simple life cycle model to explain observed wealth accumulation understanding the relative sizes of these sources of wealth accumulation affects a variety of issues for example the effects of government debt social insurance public transfer programs estate taxes and incentives for charitable giving depend to some extent on the magnitude and nature of private saving and transfers of wealth analyses of the inequality of wealth may depend on whether most of wealth is earned or received as transfers appropriate policies for encouraging private saving may look rather different depending on whether most saving is to be consumed later in life or passed along to the next generation finally evidence on transfer patterns relates to more fundamental

new evidence on the money s worth of individual annuities this paper presents new information on the expected present discounted value of payouts on individual life annuities the annuity we examine is the single premium immediate life annuity an insurance product that pays out a nominal level sum as long as the covered person lives in exchange for an initial lump sum premium this annuity offers protection against the risk of someone outliving his saving given uncertainty about longevity for reasonable estimates of behavioral parameters we calculate that individual annuities are currently priced so that retirees without bequest motives should find these policies of substantial value in configuring their portfolios to smooth retirement consumption we also find that the expected present discounted value of payouts relative to the initial cost of the annuity has increased over the last decade these findings bear on the policy debate regarding the role of individual choice and self reliance in retirement planning this abstract was borrowed from another version of this item

the existence uniqueness and optimality of the terminal wealth depletion time in life cycle models of saving under uncertain lifetime and borrowing constraint abstract in life cycle models of saving under uncertain lifetime and borrowing constraint the consumer s wealth must be depleted before the maximum lifetime this paper investigates the existence uniqueness and optimality of the terminal wealth depletion time it is proved that the optimal terminal wealth depletion time if such exists must be unique if the equation that determines the optimal terminal wealth depletion has multiple solutions then the location of the optimal solution will depend on the configuration of the solutions an optimality test is developed to verify whether a candidate solution for the terminal wealth depletion time is indeed optimal the paper introduces a method new to economics the dubovitskii milyutin adjoint equation to analyze the properties of the optimal control problem

sustainable forestry timber bequests future generations and optimal tax policy this paper analyzes harvesting and timber bequest behavior in a two period overlapping generations model where the government uses site productivity yield and inheritance taxation the ceteris paribus effects of forest and inheritance taxes are derived first then the paper discusses the optimal design of forest and inheritance taxes by assuming that intergenerational externalities are either absent or operative in the absence of intergenerational externalities it is optimal to use only the site productivity tax and not to introduce yield and inheritance taxes at all in the presence of intergenerational externalities the situation changes the paper demonstrates that the externality can be internalized by introducing either a yield tax or an inheritance subsidy or both if the government is able to use both at the same time it is desirable to use the yield tax to punish excessive harvesting and an inheritance subsidy to bribe to give bequests