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

cognitive constraints on valuing annuities this paper documents consumers difficulty valuing life annuities using a purpose built experiment in the american life panel we show that the prices at which people are willing to buy annuities are substantially below the prices at which they are willing to sell them we also find that buy values are negatively correlated with sell values and that the sell buy valuation spread is negatively correlated with cognition this spread is larger for those with less education weaker numerical abilities and lower levels of financial literacy our evidence contributes to the emerging literature on heterogeneity in financial decision making abilities particularly regarding retirement payouts jel d14 d91 g11 h55

expectations life expectancy and economic behavior this study analyzes responses to a questionnaire designed to elicit subjective expectations and probabilities of survival people do extrapolate past improvements in longevity when they determine their subjective horizons and they are fully aware of levels of and movements within todays life tables the subjective distribution has greater variance than its actuarial counterpart and the subjective variance decreases with age the implications of these findings for optimal social security for the construction of annuities for the analysis of savings behavior and for evaluating lifetime earnings are discussed the data were collected in the united states from a sample of 411 white male economists and a sample of 363 white males in a midwestern smsa excerpt

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

defined benefit pension plan distribution decisions by public sector employees abstract studies examining pension distribution choices have found that the tendency of private sector workers is to select lump sum distributions instead of life annuities resulting in leakage of retirement savings in the public sector defined benefit pensions usually offer lump sum distributions equal to employee contributions not the present value of the annuity thus for terminating employees that are younger or have shorter tenures the lump sum distribution amount may exceed the present value of the annuity we discuss the factors that may influence the choice to withdraw funds or not in this environment using administrative data from the north carolina state and local government retirement systems we find that over two thirds of public sector workers under age 50 separating prior to retirement from public plans in north carolina left their accounts open and did not request a cash distribution from the pension system within one year of separation furthermore the evidence suggests many separating workers particularly those with short tenure may be forgoing substantial monetary benefits due to lack of knowledge understanding or accessibility of benefits we find no evidence of a bias toward cash distributions for public employees in north carolina

specification of the joy of giving insights from altruism this paper analyzes the joy of giving bequest motive in which the utility obtained from leaving a bequest depends only on the size of the bequest it exploits the fact that this formulation can be interpreted as a reduced form of an altruistic bequest motive to derive a relation between the value of the altruism parameter and the value of the joy of giving parameter using previous discussions of an a priori range of plausible values for the altruism parameter we then derive plausible restrictions on the joy of giving parameter we demonstrate that this parameter may well be orders of magnitude larger than assumed in the existing literature this abstract was borrowed from another version of this item

new evidence on altruism a study of tiaa cref retirees this paper investigates the role in household wealth accumulation of saving for bequests it employs data from a 1988 survey of tiaa cref annuitants designed to measure pension and other net worth as well as lifetime earnings about half of the households in the data plan to leave estates and the authors find that their behavior conforms with theoretical altruistic models for the same families the amount of wealth that the authors attribute to estate building is large nevertheless altruism towards one s children does not seem to be the major explanation of saving in the overall sample copyright 1996 by american economic association

health and mortality delta assessing the welfare cost of household insurance choice we develop a pair of risk measures health and mortality delta for the universe of life and health insurance products a life cycle model of insurance choice simplifies to replicating the optimal health and mortality delta through a portfolio of insurance products we estimate the model to explain the observed variation in health and mortality delta implied by the ownership of life insurance annuities including private pensions and long term care insurance in the health and retirement study for the median household aged 51 to 57 the lifetime welfare cost of market incompleteness and suboptimal choice is 3 2 of total wealth

the economics of workout lending lenders are forced to consider a workout loan when a borrower loses access to financial markets and must seek loans from existing creditors to continue servicing outstanding loans a model of the loan decision is developed that distinguishes socially useful from socially wasteful workout loans the analysis is extended to examine two collective action problems that may arise when many lenders have claims on a troubled borrower the paper concludes with a consideration of the implications of the model for the establishment of prudential lending limits and of policies to stimulate new lending to troubled debtor countries copyright 1989 by ohio state university press

how strong are bequest motives evidence based on estimates of the demand for life insurance and annuities this paper presents new empirical evidence in support of the view that a significant fraction of total saving is motivated by the desire to leave bequests specifically i find that social security annuity benefits significantly raise life insurance holdings and depress private annuity holdings among elderly individuals these patterns indicate that the typical household would choose to maintain a positive fraction of its resources in bequeathable forms even if insurance markets were perfect evidence on the relationship between insurance purchases and total resources reinforces this conclusion

bequest behavior and the effect of heirs earnings testing the altruistic model of bequests that parents transfer resources to children because of altruistic concern is a reasonable a priori assumption however economic theories of altruistic transfers have produced many counterintuitive conclusions and consequently much debate when applied to bequests these theories predict that inheritances will compensate for earnings differences between siblings as well as between parents and children this paper tests these implications using a new data set centered on federal estate tax returns little support can be found for an altruistic theory of bequests this finding has implications for macroeconomic policy government transfer programs and inequality copyright 1996 by american economic association

differential mortality and wealth accumulation the issue of asset accumulation and decumulation is central to the life cycle theory of consumer behavior and to many policy questions one of the main implications of the life cycle model is that assets are decumulated in the last part of life most empirical studies in this area use cross sectional data of estimate mean or median wealth age profiles the use of cross sections to estimate the age profile of assets is full of pitfalls for example if wealth and mortality are related in that poorer individuals die younger one overestimates the last part of the wealth age profile when using cross sectional data because means or other measures of location are taken over a population which becomes richer as it ages this paper examines the effect of differential mortality on cross sectional estimates of wealth age profiles our approach is to quantify the dependence of mortality rates on wealth and use these estimates to correct wealth age profiles for sample selection due to differential mortality we estimate mortality rates as a function of wealth and age for a sample of married couples drawn from the survey of income and program participation sipp our results show that accounting for differential mortality produces wealth profiles with significantly more dissaving among the elderly

risk sharing between and within families this paper uses the panel study of income dynamics to test whether risk sharing is complete between or within american families the tests accommodate a wide variety in the configuration and availability of family data the test results reject inter as well as intra family full risk sharing even assuming that leisure is endogenous or that leisure and consumption are nonseparable

targeting nominal income further results there has been a great deal of interest in designing optimal policy in stochastic macroeconomic models under rational expectations many authors including turnovsky 11 and benavie and froyen 2 have stressed that pure policy rules such as a strict money rule or an interest rate peg are generally not the optimal policy response to both demand and supply shocks recently however bean 1 has disputed this claim using a version of the standard sargent and wallace 10 model he shows that nominal income targeting provides an optimal response to both demand and supply shocks as long as labor supply is perfectly inelastic extending this analysis bradley and jansen 3 report that the argument in favor of nominal income targeting is substantially strengthened by considering optimal wage indexing they show that the combination of nominal income targeting and optimal wage indexing to price is perfectly stabilizing regardless of the elasticity of labor supply this paper extends the work by bean 1 and bradley and jansen 3 to the case of an interest elastic and wealth elastic labor supply the goal is to determine if nominal income targeting continues to provide the optimal response to both demand and supply disturbances in a more general model bean and bradley and jansen utilize the so called lucas supply curve a standard construct in new classical models that is often justified by reference to the work of lucas and rapping 7 however lucas and rapping actually derive a supply curve in which both the ex ante real rate of interest and wealth affect aggregate supply 2 this paper employs a supply curve which includes both interest rate and wealth effects and finds that with this more general supply curve nominal income targeting even in combination with wage indexing is not perfectly stabilizing prior results by bean 1 and bradley and jansen 3 are the result of the lucas supply

uncertainty resolution and the timing of annuity purchases abstract this paper considers the question of why the annuity market is thin a model is presented in which consumers have the option of purchasing annuities before discovering their survival probability they can then recontract the initial choice after the resolution of this form of uncertainty it is shown that consumers purchase insurance against their own survival probability type at a very young age and do not undertake further transactions this characterization is then used to analze the effects of introducing future income uncertainty and to investigate the trade off between old age insurance motive and portfilio flexibility

modeling the banking firm a survey this paper reports on the status of the literature on micro bank modeling and assesses our understanding of the banking firm s optimal behavior this is no mean task for much has been written on banking broadly defined over the past couple of decades the review is developed in pieces each major subproblem is outlined and the analysis used to deal with the issue explicated this is not the best way to summarize the development of a field it should be immediately recognized one would prefer to have a smooth continuum of development moving the frontier of knowledge evenly through time and across subareas yet this is rarely the way a field develops more likely individual questions attract attention and are the subjects of a substantial number of contributions after a time the field moves on to the new area of interest the banking field is no exception before embarking upon the review however a couple of lines should be devoted to previous attempts there have been essentially three first pyle 1972 analyzes the uncertainty portfolio models at a time when little existed in the literature and hence one finds the review a bit vague and sketchy baltensperger s contributions 1978 1980 are the next serious and rather extensive reviews the quality of these

heterogeneity in state dependent utility evidence from strategic surveys a standard result of life cycle models under uncertainty is that optimizing individuals equate the expected marginal utility of consumption across states of the world if insurance is available at actuarially fair rates a small empirical literature has suggested that the marginal utility of consumption is lower in less healthy states we use a novel survey based measure to document significant heterogeneity in health state dependence across individuals largely orthogonal to standard controls we further show that individuals value unhealthy states of the world more when facing work limiting disabilities than when facing disabilities requiring long term care and when facing physical rather than mental disabilities jel d12 i10

savings of the elderly and desired bequests cross section data often show that the wealth of the elderly increases with age even at advanced ages these and other results suggest that the life cycle hypothesis of consumption should be augmented to include a bequest motive for saving in this paper the author proposes a model of bequests and a test for a bequ est motive using panel data he finds that over a ten year period the elderly in the data set dissaved in contradiction to most cross section results the test offers no support for a bequest motive copyright 1987 by american economic association

bank regulation and debt overhang the paper explains why banking regulations are crucial to the unfolding of the current international debt crisis the interplay of deposit insurance and capital adequacy requirements may create strong disincentives against offering relief to debtor countries with solvency problems in spite of the fact that granting relief would improve the worth of the claims held by creditor banks furthermore it is shown that the negotiating stance of individual banks is not related to their exposure to troubled loans in any simple way whether highly exposed banks are tougher than those with limited exposure is also generally dependent on the features of the regulatory environment copyright 1994 by ohio state university press

optimal mandates and the welfare cost of asymmetric information evidence from the u k annuity market much of the extensive empirical literature on insurance markets has focused on whether adverse selection can be detected once detected however there has been little attempt to quantify its welfare cost or to assess whether and what potential government interventions may reduce these costs to do so we develop a model of annuity contract choice and estimate it using data from the u k annuity market the model allows for private information about mortality risk as well as heterogeneity in preferences over different contract options we focus on the choice of length of guarantee among individuals who are required to buy annuities the results suggest that asymmetric information along the guarantee margin reduces welfare relative to a first best symmetric information benchmark by about 127 million per year or about 2 percent of annuitized wealth we also find that by requiring that individuals choose the longest guarantee period allowed mandates could achieve the first best allocation however we estimate that other mandated guarantee lengths would have detrimental effects on welfare since determining the optimal mandate is empirically difficult our findings suggest that achieving welfare gains through mandatory social insurance may be harder in practice than simple theory may suggest

financing vs forgiving a debt overhang abstract this paper examines the tradeoffs facing creditors of a country whose debt is large enough that the country cannot attract voluntary new lending if the country is unable to meet its debt service requirements out of current income the creditors have two choices they can finance the country lending at an expected loss in the hope that the country will eventually be able to repay its debt after all or they can forgive reducing the debt level to one that the country can repay the post 1983 debt strategy of the imf and the us has relied on financing but many current calls for debt reform call for forgiveness instead the paper shows that the choice between financing and forgiveness represents a tradeoff financing gives the creditors an option value if the country turns out to do relatively well creditors will not have written down their claims unnecessarily however the burden of debt distorts the country s incentives since the benefits of good performance go largely to creditors rather than itself the paper also shows that the tradeoff itself can be improved if both financing and forgiveness are made contingent on states of nature that the country cannot affect such as oil prices world interest rates etc

private pensions mortality risk and the decision to annuitize abstract this paper examines household decisions about whether or not to annuitize retirement resources a life cycle model of consumption implemented with the use of dynamic programming techniques is used to construct a utility based measure of annuity value for individuals and couples in the health and retirement survey variation in the calculated annuity equivalent wealth arises from differences in mortality risk marital status risk aversion and the presence of pre existing annuities such as social security i find that a one percentage point increase in the annuity equivalent wealth leads to nearly a one percentage point increase in the ex ante probability of annuitizing balances in defined contribution pension plans however because much of the variation in the expected annuity decision is left unexplained by the life cycle model other factors are also analyzed health status and an individual s time horizon for financial decision making are significant determinants of the decision there is no evidence that bequest motives are an important factor in making marginal annuity decisions

the choice between an annuity and a lump sum results from swiss pension funds this paper uses unique micro data from swiss employer based pension plans to study the annuitization decision at retirement the administrative nature of our data though limited with respect to individual background characteristics allows us to analyze real choices over large retirement balances rather than subjectively reported intentions to annuitize we find a strong and robust impact of a utility based measure of the annuity s value computed within a life cycle framework on individual annuitization rates low accumulation of retirement assets is strongly associated with the choice of the lump sum presumably due to the availability of means tested social assistance the sponsor s default option in most cases the annuity is also found to be highly influential in the decision to annuitize

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

retirement financing an optimal reform approach we study policy reforms aimed at overhauling retirement financing we develop a novel approach by considering optimal reforms policy reforms that minimize the cost for the government while respecting the distribution of welfare in the economy our model is an olg model with life cycle features and bequest motives where individuals are heterogeneous in their earning ability and mortality theoretically we show that due to the negative correlation between earnings ability and mortality postretirement distortions to saving decisions are a robust feature of any optimal policy we then use this framework to quantitatively analyze optimal reforms our quantitative exercise shows that an optimal reform relative to the status quo must have three key features first post retirement assets must be subsidized while bequests must be taxed on average optimal marginal subsidies on assets for individuals above age 65 is 3 2 percent while optimal marginal tax on their bequest is 60 percent second pre retirement transfers must increase while social security benefits must become less generous in the aggregate and more progressive towards low income groups finally earnings tax reform does not contribute to optimal reforms i e optimal marginal taxes on earnings remain very close to the status quo the optimal policies reduce the present discounted value of net tax and transfers to each generation by 15 percent