cake eating exhaustible resource extraction life cycle saving and non atomic games existence theorems for a class of optimal allocation problems abstract this paper investigates the problem concerning the existence of a solution to a diverse class of optimal allocation problems which include models of cake eating exhaustible resource extraction life cycle saving and non atomic games a new formulation that encompasses all these diverse models is provided examples of these models for which a solution does not exist and the causes of the non existence are studied two theorems are provided to tackle the existence problem under different conditions several analytical examples with a closed form solution are offered to illustrate the usefulness of the existence theorems

a rank dependent utility model of uncertain lifetime abstract in a continuous time life cycle model of consumption with an uncertain lifetime we use a non parametric specification of rank dependent utility theory to characterize the preferences of the agent we prove that time consistency holds for a subclass of probability weighting function providing the foundation for a constant rate of time preference that interacts multiplicatively with the hazard rate instead of additively as in the yaari 1965 seminal model we calibrate both models to explain the hump in the life cycle consumption and show that the multiplicative model is more robust

activist monetary policy imperfect capital mobility and the overshooting hypothesis abstract the hypothesis of exchange rate overshooting is investigated in the context of a model that incorporates activist monetary policy variable output imperfect capital mobility and slow price adjustment monetary policy which accommodates prices and or interest rates is shown to increase the probability of undershooting using constrained maximum likelihood methods the model is estimated for germany and japan since the advent of generalized floating in 1973 based on the estimated parameter values the mark exhibits overshooting while the yen is characterized by undershooting the constraints implied by the model cannot be rejected at standard significance levels for either country

an evaluation of the life cycle effects of minimum pensions on retirement behavior in this paper we explore the effects of the minimum pension program on welfare and retirement in spain this is done with a stylized life cycle model which provides a convenient analytical characterization of optimal behavior we use data from the spanish social security to estimate the behavioral parameters of the model and then simulate the changes induced by the minimum pension in aggregate retirement patterns the impact is substantial there is a threefold increase in retirement at 60 the age of first entitlement with respect to the economy without minimum pensions and total early retirement before or at 60 is almost 50 larger copyright 2007 john wiley sons ltd

a further look at household portfolio choice and health status abstract this paper investigates the effect of changes in health status on household financial wealth and financial portfolio choice it is shown that the impact of health events on household financial and non financial wealth is asymmetric a diagnosis of a new disease leads to a larger decrease in financial wealth than in non financial wealth moreover we find that the puzzle pertaining to the relationship between health status and portfolio choice discussed in the extant literature generally disappears after controlling for differences in the amount of financial assets held by healthy and sick people the results suggest that the effect of changes in health status on household financial portfolios is indirect a health shock significantly reduces household total financial wealth in turn leading households to restructure the composition of their financial assets

prices and regional variation in welfare one would expect regional differences in prices to influence conclusions concerning levels and distributions of well being although there is anecdotal evidence of significant price dispersion across regions there is no governmental source of data that measures differences in price levels in this paper i integrate estimates of regional prices with expenditure data from the consumer expenditure surveys to assess the influence of price differences on living standards in the united states while prices have little effect on inequality estimates of poverty and the standard of living change substantially with the inclusion of regional price variation

consumption smoothing and debtor protections abstract protections for defaulting debtors are a widely used form of consumption insurance this paper evaluates the costs and benefits of this insurance both inside and outside of bankruptcy first i show that consumption declines by 6 upon default revealing a potential role for greater debtor protections to smooth consumption second i use changes in states laws to estimate the impact of one type of debtor protection asset exemptions on repayment in default and interest rates while higher exemptions smooth consumption by reducing collection in default the interest rate cost is large relative to the benefits adapting a sufficient statistics formula from the literature the estimates imply that the cost of additional exemption protection exceeds what debtors are willing to pay

contract length monetary policy and exchange rate variability abstract this paper investigates the dependence of exchange rate variability on average contract length in the goods market when changes in the money supply are the driving force for movements in the exchange rate it is shown that in general an increase in average contract length will increase the volatility of the exchange rate we then discuss how changes in the money supply process affect average contract length besides providing an explanation for changes in the conditional variance of the exchange rate our results are interesting in the light of the changes in monetary control procedures implemented by the federal reserve board in october 1979 and the consequent increase in exchange rate volatility

the career costs of children this paper analyzes the life cycle career costs associated with child rearing and decomposes their eects into unearned wages as women drop out of the labor market loss of human capital and selection into more child friendly occupations we estimate a dynamic life cycle model of fertility occupational choice and labor supply using detailed survey and administrative data for germany for numerous birth cohorts across dierent regions we use this model to analyze both the male female wage gap as it evolves from labor market entry onward and the eect of pro fertility policies we show that a substantial portion of the gender wage gap is explainable by realized and expected fertility and that the long run eect of policies encouraging fertility are considerably lower than the short run eects typically estimated in the literature

bequest motives and determinants of micro life insurance in sri lanka this paper emphasizes bequest motives by evaluating participation patterns in micro life insurance against insurance demand and supply side factors based on household survey data from sri lanka it presents evidence on the determinants of micro life insurance participation of low income households using probit and tobit models the results provide evidence that micro life insurance is positively correlated with measures of bequest motives such as the number of children or dependents besides better off households are less excluded from micro life insurance markets than their poorer counterparts the study finds a convincing need for the microinsurance sector to be more responsive to the needs of the poor with a key role in providing financial education to understand the need for microinsurance

optimal life insurance purchase and consumption investment under uncertain lifetime abstract in this paper we consider optimal insurance and consumption rules for a wage earner whose lifetime is random the wage earner is endowed with an initial wealth and he also receives an income continuously but this may be terminated by the wage earner s premature death we use dynamic programming to analyze this problem and derive the optimal insurance and consumption rules explicit solutions are found for the family of crra utilities and the demand for life insurance is studied by examining our solutions and doing numerical experiments

non constant discounting and consumption portfolio and life insurance rules consumption portfolio and life insurance rules are studied for an investor with an arbitrary but known distribution of lifetime with time inconsistent preferences solutions are found for naive and sophisticated agents for the family of cara and crra utility functions effects of non constant discounting are illustrated numerically

social security and retirement in uruguay abstractwe estimate a structural life cycle model for retirement behaviour using work history records of the main uruguayan pension programme the estimated coefficient of relative risk aversion is around 1 5 and the estimated discount rate is about 1 8 per cent per annum the marginal disutility of work increases with age and is larger for women than men and for private than public employees simulations show a very low impact of the 1995 pension reform on retirement ages many individuals in this population respond little to economic incentives and some individuals would advance rather than postpone retirement after the reform

real and nominal shocks in a two country price setting world abstract this paper develops a two country model in which the law of one price does not hold in the short run and which is consistent with the stylized fact that exchange rates respond more quickly to news than prices this is done by assuming that firms face lumpy information costs in determining what price to charge both domestic and imported goods prices are therefore sticky with respect to news and deviations from the law of one price ppp are due to exchange rate surprises the model is used to analyze the domestic and international impact of real and nominal disturbances

the impact of the correlation between health expenditure and survival probability on the demand for insurance abstract this paper studies the effects of health shocks on the demand for health insurance and annuities along with precautionary saving in a dynamic life cycle model i argue that when the health shock can simultaneously increase health expenses and reduce longevity rational agents would neither fully insure their uncertain health expenses nor fully annuitize their wealth because the correlation between health expenses and longevity provides a self insurance channel for both uncertainties that is when the agent is hit by a health shock which simultaneously increases health expenses and reduces longevity she can use the resources originally saved for consumption in the reduced period of life to pay for the increased health expenses since the two uncertainties partially offset each other the precautionary saving generated in the model should be smaller than in a standard model without the correlation between health expenses and longevity in a quantitative life cycle model calibrated using the medical expenditure panel survey dataset i find that the health expenses are highly correlated with the survival probabilities and this correlation significantly reduces the demand for actuarially fair health insurance while its impact on the demand for annuities and precautionary saving is relatively small

policy effectiveness in an open multi market economy with risk neutral exchange rate speculation abstract in an open multi market equilibrium model of the business cycle the informational role of a forward exchange market is that the forward rate aggregates individual perceptions of the aggregate state of the economy in the case of risk neutral exchange rate speculation the forward rate perfectly reveals average expectations of current nominal shocks that hit the economy this paper analyzes the informational implications of forward speculation when markets are structurally diverse the two types of structural diversity considered are heterogeneous price elasticities of output demand and supply and asymmetric information between traders in output markets and traders in asset markets in contrast to previous results the paper shows that risk neutral speculation is not in general sufficient to generate a fully revealing rational expectations equilibrium in which monetary policy is ineffective

the interdependence of individual portfolio decisions and the demand for insurance we analyze the individual s demand for insurance as a special case of general portfolio hedging activity the demand for insurance contracts is determined simultaneously with the demands for other assets in the portfolio we demonstrate that when the payoffs of the policy are correlated with the payoffs to the individual s other assets the demand for insurance contracts is generally not a separable portfolio decision we argue that this separability condition is not generally met because of significant interdependence of claims across different insurance policies furthermore our generalizations can reverse the standard prediction that wealthier individuals will demand less insurance

personal bankruptcy and credit supply and demand this paper examines how personal bankruptcy and bankruptcy exemptions affect the supply and demand for credit while generous state level bankruptcy exemptions are probably viewed by most policy makers as benefiting less well off borrowers our results using data from the 1983 survey of consumer finances suggest that they increase the amount of credit held by high asset households and reduce the availability and amount of credit to low asset households conditioning on observable characteristics thus bankruptcy exemptions redistribute credit toward borrowers with high assets interest rates on automobile loans for low asset households also appear to be higher in high exemption states

is the sticky price assumption reasonable for exchange rate models abstract the testable implications of sticky price exchange rate models are discussed the empirical examples suggest that the predetermined or sticky price assumption employed in recent asset models of exchange rate determination appears to be appropriate for germany japan the united states and the united kingdom

is there adverse selection in life insurance markets adverse selection theory predicts people with a high risk of death are more likely to own life insurance using a unique data set merging administrative and survey records we test this theory and find the opposite people with high death risk are less likely to own life insurance we postulate advantageous selection and price discrimination swamp adverse selection in individual life insurance markets to determine which effect is more powerful we analyze group life insurance markets where insurance companies cannot price discriminate as well as in individual markets our data suggest that price discrimination has a stronger effect than advantageous selection jel d8 g1 i1

welfare implications of the bankruptcy reform act of 1999 abstract in recent years personal bankruptcy has become an important issue to consumers creditors and legislators alike over 40 billion dollars of unsecured debt were discharged in 1998 by 1 44 million households these losses have led legislators to propose a variety of changes in bankruptcy law the most important and recent of which is the bankruptcy reform act of 1999 ba99 i develop a dynamic stochastic general equilibrium model of personal bankruptcy to investigate the trade off between the consumption smoothing role of bankruptcy and the interest rate and deadweight costs it imposes i find that stringent means tests would reduce filing rates only slightly and would have only modest welfare consequences on the other hand the elimination of bankruptcy altogether is found to have substantial benefits this result is robust to income shock persistence and to stringency in the application of means tests

prices and demand new evidence from micro data abstract micro level demand studies typically do not have price information as an approximation it is frequently assumed that households face the same set of prices at a given point in time and these prices are taken to be national indexes such as implicit price deflators in the national accounts i find that this source of measurement error leads to severely distorted estimates of demand parameters

investment horizon and the attractiveness of investment strategies a behavioral approach we analyze the attractiveness of investment strategies over a variety of investment horizons from the viewpoint of an investor with preferences described by cumulative prospect theory cpt currently the most prominent descriptive theory for decision making under uncertainty a bootstrap technique is applied using historical return data of 1926 2008 to allow for variety in investors preferences we conduct several sensitivity analyses and further provide robustness checks for the results in addition we analyze the attractiveness of the investment strategies based on a set of experimentally elicited preference parameters our study reveals that strategy attractiveness substantially depends on the investment horizon while for almost every preference parameter combination a bond strategy is preferred for the short run stocks show an outperformance for longer horizons portfolio insurance turns out to be attractive for almost every investment horizon interestingly we find probability weighting to be a driving factor for insurance strategies attractiveness

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

optimal choice of health and retirement in a life cycle model abstract we examine within a life cycle model the simultaneous choice of health care and retirement together with consumption health tends to have an impact on retirement through morbidity determining earnings and the disutility of work and through longevity determining the need to accumulate retirement wealth conversely the age of retirement drives the demand for health care through the value of survival and the value of morbidity reductions we characterise the optimal relationship between health expenditure and retirement and apply our model to analyse the effects of moral hazard in the annuity market while moral hazard always induces excessive health investments and an excessive duration of working life it also triggers an excessive level of consumption if the impact of health on the disutility of work is sufficiently large we examine a transfer scheme and mandatory retirement as policies towards curtailing moral hazard numerical analysis illustrates the role of moral hazard in shaping the life cycle allocation

dependents and the demand for life insurance a breadwinner s demand for life insurance depends on the demographic structure of his or her household the author captures the relationship by extending menahem e yaari s life insurance framework to include the preferences of all household members explicitly in many households the insured is the husband and the beneficiaries are his wife and offspring their demand for insurance of the husband s life is derived from a life cycle model in which income is uncertain the results are intuitively appealing in that they describe the explicit calculation made by purchasers of life insurance empirical estimates based on observed life insurance ownership also are encouraging copyright 1989 by american economic association

demand system estimation in the absence of price data an application of stone lewbel price indices this article evaluates the feasibility of estimating a system of demand equations in the absence of price information using the approach developed by lewbel 1989 stone lewbel sl price indices for commodity groups are constructed using information on the budget shares and the consumer price indices cpis of the goods comprising the commodity groups which allows for household level prices to be recovered this study evaluates how susceptible are elasticities and marginal effects estimates from traditional parametric demand systems to the cpi used in the construction of the sl prices to do this three alternative regional cpis are considered for the construction of the sl prices monthly quarterly and a constant unity price index elasticities and marginal effect estimates are computed for eight food commodity groups using the exact affine stone index easi model as the parametric demand system and data from the united states consumer expenditure survey the estimates proved to be robust to the a

optimal consumption portfolio choices and retirement planning abstract we examine consumption and investment decisions in a life cycle model with habit formation stochastic opportunity set stochastic wages and labor supply flexibility retirement is taken into account by specifying an age at which labor earnings stop but consumption spending continues explicit solutions are obtained for optimal consumption labor supply and the financing portfolio we examine the structure and determinants of the optimal portfolio we also study the effects of the retirement date and of habits on optimal decisions finally we conduct a preliminary analysis to assess the effects of a liquidity constraint on optimal consumption leisure choices

is it really good to annuitize although rational consumers without bequest motives are better off investing exclusively with annuitized instruments in partial equilibrium we demonstrate the welfare effect of annuitization is ambiguous in general equilibrium on account of pecuniary externalities absent institutional constraints like prices and budgets the optimal consumption rule would have marginal utility increase at the preferential discount rate in a rational competitive equilibrium where households fully annuitize the growth rate of marginal utility will be the discount rate minus the interest rate resulting in a consumption profile that is too flat accidental bequests transfer wealth from the old to the young steepening the consumption profile and yielding a better equilibrium if households are restricted to keynesian consumption functions the optimal irrational equilibrium with standard preferences can replicate observed consumption and macroeconomic behavior and the equilibrium without annuities delivers higher utility than the equilibrium with annuities whereas preceding papers have merely hypothesized that households might engage in socially optimal yet irrational behavior the failure of households to annuitize is a real world example of this policymakers should not take steps to encourage more annuitization by the public

life insurance and household consumption abstract using life insurance holdings by age sex and marital status we infer how individuals value consumption in different demographic stages we estimate equivalence scales and bequest motives simultaneously within a fully specified model where agents face us demographics and save and purchase life insurance our findings indicate that individuals are very caring for dependents that economies of scale are large that children are very costly or yield very high marginal utility that wives with children produce lots of home goods and that females display habits from marriage while men do not these findings contrast sharply with standard equivalence scales

optimal pension insurance design abstract in this paper we analyze how the traditional life and pension contracts with a guaranteed rate of return can be optimized to increase customers welfare given that the contracts have to be priced correctly we use individuals preferences to find the preferred design assuming crra utility we cannot explain the existence of any form of guarantees through numerical solutions we quantify the difference measured in certainty equivalents to the preferred merton solution of direct investments in a fixed proportion of risky and risk free assets the largest welfare loss seems to come from the fact that guarantees are effective by the end of each year not only by the expiry of the contract however the demand for products with guarantees may be explained through behavioral models we use cumulative prospect theory as an example showing that the optimal design is a simple contract with a life time guarantee and no default option

a monte carlo method for optimal portfolios this paper proposes a new simulation based approach for optimal portfolio allocation in realistic environments with complex dynamics for the state variables and large numbers of factors and assets a first illustration involves a choice between equity and cash with nonlinear interest rate and market price of risk dynamics intertemporal hedging demands significantly increase the demand for stocks and exhibit low volatility we then analyze settings where stock returns are also predicted by dividend yields and where investors have wealth dependent relative risk aversion large scale problems with many assets including the nasdaq sp500 bonds and cash are also examined the question of optimal portfolio allocation has been of long standing interest for academics and practitioners in finance while the mean variance analysis of markowitz 1952 is still commonly used among portfolio managers it has been well understood since merton 1971 that long term investors would prefer portfolios that include hedging components to protect against fluctuations in their investment opportunities prompted by the seminal papers of merton 1969 1971 and samuelson 1969 studies have explored various aspects of the dynamic portfolio problem when asset prices follow diffusion processes e g richard 1975 this literature has relied for the most part on a dynamic programming approach to the problem more recent contributions by pliska 1986 karatzas lehoczky and shreve 1987 and cox and huang 1989 have proposed an alternative resolution method based on martingale techniques in the context of this approach an optimal portfolio formula was derived by ocone and karatzas 1991 this expression involves expectations of random variables depending on j6erme b detemple is at boston university school of management and cirano rene

saving and liquidity constraints this paper is concerned with the theory of saving when consumers are not permitted to borrow and with the ability of such a theory to account for some of the stylized facts of saving behavior the models presented in the paper seem to account for important aspects of reality that are not explained by traditional life cycle models copyright 1991 by the econometric society

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

social interaction and stock market participation we propose that stock market participation is influenced by social interaction in our model any given social investor finds the market more attractive when more of his peers participate we test this theory using data from the health and retirement study and find that social households those who interact with their neighbors or attend church are substantially more likely to invest in the market than non social households controlling for wealth race education and risk tolerance moreover consistent with a peer effects story the impact of sociability is stronger in states where stock market participation rates are higher

portfolio choice and mortality contingent claims the general hara case abstract we solve a portfolio choice problem that includes mortality contingent claims and labor income under general hara preferences our contribution beyond existing literature is to i focus on the covariance between shocks to human capital and financial capital to ii model the utility of a family with basic needs and iii include life insurance and pension annuity claims in one unified life cycle model our solution employs a similarity reduction mapping which reduces the two dimensional hjb equation into one dimension this allows for the implementation of a quick numerical scheme and when shocks to human capital and financial capital are perfectly correlated a closed form expression is obtained as a special case

why nations become wealthy the effects of adult longevity on saving we analyze steady state and out of steady state effects of the transition in adult longevity on the national saving rate using historical data and international panel data the rise in adult life expectancy has a large and statistically significant effect on aggregate saving the effects have been especially pronounced in east asia because its mortality transition was very rapid gains in life expectancy are much more important than declines in child dependency population aging may not lead to lower saving rates in the future if life expectancy and the duration of retirement continue to increase

gains from structured product markets the case of reverse exchangeable securities res abstract structured products sp have recently been introduced onto organized markets in the united states payoffs for such financially engineered securities typically combine stock bond and contingent claims features in this paper attention is focused upon reverse exchangeable securities res an important and rapidly growing segment of the american sp market first we undertake a replication of res payout with a linear portfolio of publicly traded securities in a simple no arbitrage framework it is thereby possible to estimate theoretically fair terms of issuance and contrast these with actual terms we conclude that there is a significant pricing bias in favor of the issuing financial institution credit enhancement resulting from observed positive correlation between the res terminal payoff and issuer financial performance is proposed as explanation for the apparent pricing discrepancy market completeness and possible tax advantages may also play a role in sp demand and the rapid expansion of this new derivatives market

evidence on the insurance effect of bankruptcy exemptions abstract defaulting on one s debts when experiencing an adverse event can help insure households against unexpected income risks but the effect of allowing default on debt levels is ambiguous not least because lenders may restrict access to credit hence the optimal punishment for bankruptcy is unclear the us states allows householders to keep a variety of assets when filing for bankruptcy the bankruptcy exemptions and these exemptions change substantially between states and over time by exploiting these differences this study shows that raising the exemptions i marginally decreases the level of unsecured debt that household s hold ii makes consumption smoother thus despite the effect on debt levels the generous provisions to debtors in arrears may be helping us households to insure themselves against income risk

world trade patterns economic disturbances and exchange rate management abstract this paper construct and analyzes a three country stochastic model of world trade the objectives of this paper are to investigate the propagation of economic disturbances worldwide and to analyze the nature of optimal exchange rate management on the part of a single country faced with monetary and real disturbances accurring in all its trade patterns the paper analyzes the roles of bilateral trade patterns the type of underlying stochastic disturbances i e monetary vs real and transsitory vs permanent and of the optimality criterion in determining the optimal exchange rate regime

the link between life insurance activities and economic growth some new evidence abstract this paper applies the panel seemingly unrelated regressions augmented dickey fuller suradf test to re investigate the stationarity properties of real life insurance premiums per capita and real gross domestic product gdp per capita for 41 countries within three levels of income covering 1979 2007 our empirical results first reveal that the variables in these countries are a mixture of i 0 and i 1 processes and that the traditional panel unit root tests could lead to misleading inferences second for the estimated half lives the degrees of mean reversion are greater in high income countries third there is concrete evidence favoring the hypothesis of a long run equilibrium relationship between real gdp and real life insurance premiums after allowing for the heterogeneous country effect the long run estimated panel parameter results indicate that a 1 increase in the real life premium raises real gdp by 0 06 finally we determine that the development of life insurance markets and economic growth exhibit long run and short run bidirectional causalities these findings offer several useful insights for policy makers and researchers

to own or not to own your life insurance policy abstract life insurance proceeds are generally subject to the estate tax an exception is when the policy is owned by the beneficiaries and the insured gives up ownership and control including the ability to change beneficiaries should the insured strategically own the policy contract and potentially subject proceeds to estate and inheritance taxes or relinquish control with the beneficiaries owning the policy and escape such transfer taxes this paper addresses how the estate tax influences the choice of life insurance ownership using samples of estate tax returns the empirical evidence suggests that those facing high estate tax rates are more likely to forgo ownership and have proceeds excluded from their estates and provides further evidence on the incentive effect of taxes and in support of the strategic bequest motive

valuation optimal asset allocation and retirement incentives of pension plans we provide a framework in which we link the valuation and asset allocation policies of defined benefits plans with the lifetime marginal productivity schedule of the worker and the pension plan formula in turn we examine the retirement policies that are implied by the primitives of the model and the value of pension obligations our model provides an explicit valuation formula for a stylized defined benefits plan the optimal asset allocation policies consist of the replicating portfolio of the pension liabilities and the growth optimum portfolio independent of the pension liabilities we show that the worker will retire when the ratio of pension benefits to current wages reaches a critical value which depends on the parameters of the pension plan and the discount rate using numerical techniques we analyze the feedback effect of retirement policies on the valuation of plans and on the asset allocation decisions article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

longevity and life cycle savings we add health and longevity to a standard model of life cycle saving and show that under plausible assumptions increases in life expectancy lead to higher savings rates at every age even when retirement is endogenous in a stationary population these higher savings rates are offset by increased old age dependency but during the disequilibrium phase when longevity is rising the effect on aggregate savings rates can be substantial we find empirical support for this effect using a cross country panel of national savings rates

the design of an optimal insurance policy almost every phase of economic behavior is affected by uncertainty the economic system has adapted to uncertainty by developing methods that facilitate the reallocation of risk among individuals and firms the most apparent and familiar form for shifting risks is the ordinary insurance policy previous insurance decision analyses can be divided into those in which the insurance policy was exogenously specified see john gould jan mossin and vernon smith and those in which it was not see karl borch 1960 and kenneth arrow 1971 1973 in this paper the pioneering work of borch and arrow the derivation of the optimal insurance contract form from the model is synthesized and extended

a utility and cpt based comparison of life insurance contracts with guarantees abstract some recent literature studies whether contracts including financial guarantees can be preferred by a utility maximizing investor the main result for contracts exposed solely to financial risk e g doskeland and nordahl 2008 dichtl and drobetz 2011 is that expected utility theory eut fails to interpret demand for guarantees while cumulative prospect theory cpt is able to support the demand while the development of the financial market has a significant impact on the portfolio choice some other non financial risk might play an important role too in the present paper we take life insurance products as an example where the long term nature of these contracts places a special emphasis on the uncertain lifetime of the investor we incorporate the mortality risk and investigate its effect on the attractiveness of contracts offering minimum interest rate guarantees to eut and cpt investors for this purpose we introduce two approaches for the consideration of multiple risk sources within cpt we illustrate the theoretical framework with numerous simulations and our numerical results show that a long term risk averse eut investor prefers products with guarantees

what motivates a subprime borrower to default this paper uses a real options approach to analyse the exercise of the default option embedded in mortgages in particular it examines a subprime household who borrows at a premium but hopes to refinance at prime rates if their house appreciates we show how these optimal default decisions can be used to calculate probabilities of default an important input for risk management and pricing purposes numerical examples are provided calibrated to us data in a low interest rate environment the credit upgrade potential may discourage subprime borrowers from defaulting however default probabilities are highly sensitive to changes in interest rates and house prices this provides a rational explanation for the prevalence of adjustable rate mortgages among subprime borrowers and the subsequent large numbers of defaults when interest rates rose and house prices declined

health and other asset holdings despite clear evidence of correlations between financial and medical statuses and decisions most models treat financial and health related choices separately this article bridges this gap by proposing a tractable dynamic framework for the joint determination of optimal consumption portfolio holdings health investment and health insurance we solve for the optimal rules in closed form and capitalize on this tractability to gain a better understanding of the conditions under which separation between financial and health related decisions is sensible and of the pathways through which wealth and health determine allocations welfare and other variables of interest such as expected longevity or the value of health furthermore we show that the model is consistent with the observed patterns of individual allocations and provide realistic estimates of the parameters that confirm the relevance of all the main characteristics of the model

until the bitter end on prospect theory in a dynamic context many economic and financial decisions depend crucially on their timing people decide when to invest in a project when to liquidate assets or when to stop gambling in a casino we provide a general result on prospect theory decision makers who are unaware of the time inconsistency induced by probability weighting if a market offers a sufficiently rich set of investment strategies then such naive investors postpone their stopping decisions indefinitely we illustrate the drastic consequences of this never stopping result and conclude that probability distortion in combination with naivete leads to unrealistic predictions for a wide range of dynamic setups

full insurance in the presence of aggregate uncertainty this paper tests implications of full consumption insurance the object is to determine how much mileage can be obtained from a model with complete markets with such features as private information or liquidity constraints omitted the implication exploited is that individual consumption responds to aggregate risk but not to idiosyncratic risk the test involves regressing the change in household consumption onto the change in aggregate consumption and other right hand side variables such as the change in household income and change in employment status all variables other than the change in aggregate consumption are predicted to be insignificant in explaining the change in household consumption with observations on consumption and income for 10 695 households from the consumer expenditure survey the results are mixed the results for one specification exponential utility are mostly consistent with full consumption insurance the results for the other specification power utility are not

the flexible exchange basket a macroeconomic analysis abstract this paper constructs and analyzes a multi country stochastic equilibrium framework suitable for analyzing the behavior of an economy which pursues a flexible exchange basket policy the framework is general enough to accommodate the special cases of a multilateral floating exchange rates and b rigid basket regimes an important issue that is addressed in the present framework involves the composition of the optimal flexible basket versus that of the corresponding rigid basket such an investigation is carried out for various patterns of multilateral trade for various types of structural disturbances and for alternative optimality criteria

optimal portfolio selection with life insurance under inflation risk abstract this paper investigates a continuous time optimal consumption investment and life insurance decision problem of a family under inflation risk in the financial market there is a liquid inflation linked index bond market which can be utilized to hedge the inflation risk the explicit solutions are derived for constant relative risk aversion crra utility case by using martingale approach the roles of index bond are investigated and it is verified that the index bond may have different roles depending on the market parameters we analyze the effects of parameters on the optimal strategies with focus on the optimal demand for index bond and the optimal life insurance premium especially the changes of expected inflation rate and volatility of inflation rate can have both positive and negative impacts on the life insurance premium and their quantitative impacts are considerable

economic demographic and institutional determinants of life insurance consumption across countries life insurance has become an increasingly important part of the financial sector over the past 40 years providing a range of financial services for consumers and becoming a major source of investment in the capital market but what drives the large variation in life insurance consumption across countries remains unclear using a panel with data aggregated at different frequencies for 68 economies in 1961 2000 this article finds that economic indicators such as inflation income per capita and banking sector development and religious and institutional indicators are the most robust predictors of the use of life insurance education life expectancy the young dependency ratio and the size of the social security system appear to have no robust association with life insurance consumption the results highlight the importance of price stability and banking sector development in fully realizing the savings and investment functions of life insurance in an economy

the household bankruptcy decision personal bankruptcy filings have risen from 0 3 percent of households per year in 1984 to around 1 35 percent in 1998 and 1999 transforming bankruptcy from a rare occurrence to a routine event lenders lost about 39 billion in 1998 due to personal bankruptcy filings but economists have little understanding of why households file for bankruptcy or why filings have increased so rapidly until very recently studying the household bankruptcy decision was very difficult because no household level data set existed that included information on bankruptcy filings in this paper we use new data from the panel study of income dynamics which includes information on bankruptcy filings to estimate a model of households bankruptcy decisions we find support for the strategic model of bankruptcy which predicts that households are more likely to file when their financial benefit from filing is higher our model predicts that an increase of 1 000 in households financial benefit from bankruptcy would result in a 7 percent increase in the number of bankruptcy filings our model also predicts that if the 1997 national bankruptcy review commission s proposed changes in bankruptcy exemption levels were implemented there would be a 16 percent increase in the number of bankruptcy filings each year but if the 100 000 cap on homestead exemptions recently passed by the u s senate were adopted our model predicts that there would be only a negligible effect on the number of filings we find little support for the nonstrategic model of bankruptcy which predicts that households file when adverse events occur which reduce their ability to repay finally controlling for state and time fixed effects our model shows that households are more likely to file for bankruptcy if they live in districts with higher aggregate filing rates

the rank and model specification of demand systems an empirical analysis using united states microdata a rank three demand system is estimated with united states consumer expenditure survey microdata a unique price data set is also used which permits the analysis of effects of systematic errors in price variables it is found that errors in price variables bias test results for the rank three hypothesis in particular towards rejection other test results are affected to a lesser extent estimating smaller systems of demand equations even when conditioning on excluded goods yields significantly different results another important conclusion is that model specification is statistically significantly different for households of varying family sizes and housing tenure statuses jel classifications c31 d12 le rang et la specification du modele des systemes de demande une analyse empirique utilisant des microdonnees americaines on calibre un systeme de demande de rang trois a l aide de microdonnees americaines tirees de la united states consumer expenditures survey un ensemble unique de prix est utilise afin de permettre l analyse des effets d erreurs systematiques dans les variables de prix il appert que les erreurs dans les variables de prix distorsionnent les resultats du test de l hypothese de rang trois en faveur d un rejet d autres resultats de tests sont affectes a un moindre degre si l on calibre de plus petits systemes d equations de demande meme en posant des conditions sur des biens exclus des resultats qui different de maniere significative s ensuivent une autre conclusion importante est que la specification du modele est differente de maniere statistiquement significative pour les menages selon la taille de la famille et le statut domiciliaire

income and consumption inequality in urban china 1992 2003 abstract using the nationally representative urban household income and expenditure survey uhies conducted by the national bureau of statistics nbs of china we document a steadily rising trend in income and consumption inequality during the period from 1992 to 2003 in urban china despite the rising urban inequality over time the social welfare of urban residents unambiguously improved because every income group saw their income and consumption increase over this period higher income groups experienced faster increases moreover consumption inequality follows income inequality very closely labor income inequality accounts for about two thirds of total income inequality quite consistently over time we find that only about one third of urban inequality can be attributed to observable individual choices and characteristics of which education has increasing explanatory power while regional differences become less important over time we also find that restructuring of the soe sector urbanization

efficiency and the role of default when security markets are incomplete this paper argues that default plays an important positive role in the economy if markets are incomplete and traders are only able to enter into contracts that they will be able to execute regardless of future events contingent contracting may be severely restricted moreover opening new markets may not relieve these restrictions default promotes efficiency in a way that opening new markets does not by making it possible for traders to enter into contracts that they will be able to execute with high probability but not with certainty copyright 1993 by american economic association

labor supply flexibility and portfolio choice in a life cycle model abstract this paper examines the effect of the labor leisure choice on portfolio and consumption decisions over an individual s life cycle the model incorporates the fact that individuals may have considerable flexibility in varying their work effort including their choice of when to retire given this flexibility the individual simultaneously determines optimal levels of current consumption labor effort and an optimal financial investment strategy at each point in his life cycle we show that labor and investment choices are intimately related the ability to vary labor supply ex post induces the individual to assume greater risks in his investment portfolio ex ante

the taste for bequests and well being of widows a model of life insurance demand by married couples for married couples with some insurance on the husbands the annuitized consumptions of widows of older husbands is found to be higher on average than if their husbands had lived given the age of the husband younger widows are relatively worse off in the context of life insurance demand this paper models the decision about how well off to leave a surviving spouse relative to her situation had both spouses lived the parameters of the model are estimated from estate and income tax data for a wisconsin sample of married couples where the husband predeceased the wife copyright 1989 by mit press

portfolio insurance and prospect theory investors popularity and optimal design of capital protected financial products abstract portfolio insurance strategies are used on both the institutional and the retail side of the asset management industry while standard utility theory struggles to provide an explanation this study justifies the popularity of portfolio insurance strategies in a behavioral finance context we run monte carlo simulations as well as historical simulations for popular portfolio insurance strategies and benchmark strategies in order to evaluate the outcomes using cumulative prospect theory our simulation results indicate that most portfolio insurance strategies are the preferred investment strategy for a prospect theory investor moreover the analysis provides insights into how portfolio insurance products should be designed and structured to meet the preferences of prospect theory investors as accurately as possible

spending retirement on planet vulcan the impact of longevity risk aversion on optimal withdrawal rates corrected july 2011 recommendations from the media and financial planners regarding retirement spending rates deviate considerably from utility maximization models this study argues that wealth managers should advocate dynamic spending in proportion to survival probabilities adjusted up for exogenous pension income and down for longevity risk aversion

intertemporal asset allocation a comparison of methods abstract this paper compares two recent monte carlo methods advocated for the computation of optimal portfolio rules the candidate methods are the approach based on monte carlo with malliavin derivatives mcmd proposed by detemple garcia and rindisbacher detemple et al 2003 a monte carlo method for optimal portfolios journal of finance 58 401 406 and the approach based on monte carlo with regression mcr of brandt goyal santa clara and stroud brandt et al 2003 a simulation approach to dynamic portfolio choice with an application to learning about return predictability working paper wharton school our comparisons are carried out in the context of various intertemporal portfolio choice problems with two assets a risky asset and a riskless asset and different configurations of the state variables the specifications studied include a linear model with a single state variable admitting an exact solution and a non linear model with two state variables that requires a purely numerical resolution the accuracies of the candidate methods are compared we provide in particular efficiency plots displaying the speed accuracy trade off for various selections of the relevant simulation and discretization parameters mcmd is shown to dominate in all the settings considered

uncertain lifetime risk aversion and intertemporal substitution abstract this paper describes a simple utility function for dynamic choice problems under uncertain lifetime preferences are time consistent and similar to selden s ordinal certainty equivalent hypothesis for yaari s model of consumption savings decisions holding intertemporal substitution fixed the consumption growth rate is increasing decreasing in the mortality rate if risk aversion is lower higher than under expected utility preferences

human capital prices productivity and growth separate identification of the price and quantity of human capital has important implications for understanding key issues in labor economics and macroeconomics price and quantity series are derived and subjected to robustness checks the human capital price series associated with dierent education levels are highly correlated and exhibit a strong secular trend three result

the role of life insurance in an emerging economy human capital protection assets allocation and social interaction abstract in this paper we provide micro econometric evidence on the determinants of life insurance demand in china the largest emerging market in the world we employ the china household income project chip dataset for the year 2002 in the analysis the timing is ideal because of the nature of the less well developed capital markets and social security systems in china in 2002 which sets a suitable stage to study the insurance demand behavior of emerging markets the results indicate that both the human capital protection motive and the asset allocation motive are important in explaining the purchase of life insurance in china in addition we present three empirical regularities 1 the positive correlation between the returns to human capital and the returns to market portfolio decrease the demand for life insurance 2 both the current wealth and future income of a household exert curvilinear impacts on life insurance demand 3 the breadth of a households social connections has substantial impacts on life insurance demand

semi rational expectations and exchange rate dynamics abstract the rational expectations hypothesis reh asserts that on average the economic agents are accurate in predicting future economic developments the paper demonstrates however that in a world of costly information individual rationality may result in consistent and persistent forecasting biases a distinction is drawn between perfect foresight or efficient forecasting which is consistent with the reh and myopic perfect foresight which is the profit maximizing and thus the rational one from an individualistic point of view even though the latter may result in persistently biased forecasting these concepts are illustrated in a model of exchange rate dynamics which introduces myopic or semi rationality into dornbusch s familiar model

uncertain lifetime consumption and dissaving in retirement this paper asks whether the continued accumulation or mild dissaving observed among the retired can be explained by uncertain lifetime in the absence of annuities after an initial period influenced by borrowing constraints under constant relative risk aversion uncertain lifetime depresses consumption by a proportion increasing with age if the elasticity of intertemporal substitution in consumption is small illustrative computations based on actual income and survival data show that plausible elasticities are sufficiently small to give this effect the reduction in consumption is large enough to explain much of the lack of decumulation by the elderly

social security growth and welfare in overlapping generations economies with or without annuities we examine the impact of a stylized pay as you go paygo social security program in an economy of overlapping generations with equilibrium growth we adopt realistic mortality and other demographic assumptions and allow for the presence or absence of life annuities in all cases steady state economies with paygo social security programs grow more slowly than those without also we find that lifetime expected utilities are lower for existing and future households in steady state economies with social security we also report the effect of social security on the age profile of consumption and explore the effects of longer life expectancy compensating social security program changes and capital subsidies

the welfare value of fda s mercury in fish advisory a dynamic reanalysis assessing the welfare impact of consumer health advisories is a thorny task recently shimshack and ward 2010 studied how u s households responded to fda s 2001 mercury in fish advisory they found that the average at risk household reduced fish consumption by 21 resulting in a 17 reduction in mercury exposure at the cost of a 21 reduction in cardioprotective omega 3 fatty acids based on a static assessment of the health costs and benefits shimshack and ward concluded that the advisory policy resulted in an overall consumer welfare loss in this note we propose a dynamic assessment that links the long term cardiovascular health effects of the advisory to life cycle consumption we find that under reasonable assumptions the welfare loss might be much larger than suggested our analysis highlights the importance of accounting for dynamic effects when evaluating persistent changes in exposure to environmental health risks

what do we learn about consumer demand patterns from micro data the aim of this paper is to assess the importance of using micro level data in the econometric analysis of consumer demand to do this we utilize a time series of repeated cross sections covering some 4 000 households in each of 15 years employing a number of different aggregation procedures we conclude that aggregate data alone are unlikely to produce reliable estimates of structural price and income coefficients however once certain aggregation factors as well as trend and seasonal components are included an aggregate model is not necessarily outperformed across all demand equations in terms of forecasting ability jel d12 c52 c31 the purpose of this paper is to develop a complete consumer demand system based on a time series of individual household data and to use it to measure the biases introduced into the study of consumer de mand behavior when aggregate data are used in place of the appropriate microeco nomic data we assess the suitability of ag gregate data through the impact on income and price elasticities and by evaluating the ability of both micro and aggregate based models to forecast aggregate consumer de mand the biases introduced by the use of aggregate data depend upon the way that household characteristics interact with in come and price effects and on departures of demand systems from linearity we explore the structure of microeconomic demand sys tems and the role of household characteris tics in the behavior of consumer demand both for the light this may shed on the pattern of future demands and for the im plications this behavior has for issues of aggregation consumer demand patterns typically found in micro data sets vary considerably across households with different household characteristics and with different levels of income we model this variability by making intercept and slope parameters in the budget share equations of our demand sys tem depend on household characteristics and by allowing for nonlinear total log expenditure terms in fact in theory consistent demand systems it is total ex penditure rather than disposable income that is allocated across goods we find that this general framework leads to a well specified data coherent demand system which is a quadratic extension of the popu lar almost ideal model of angus s deaton and john muellbauer 1980 the micro level estimates are shown to be sensitive to the treatment of endogeneity of total expen diture and to the specification of interaction terms with household characteristics in ad dition this specification is also shown to possess many attractive features for the evaluation of aggregate models

fresh start or head start uniform bankruptcy exemptions and welfare abstract the 1990s witnessed a historically unprecedented number of personal bankruptcy filings in response congressional debate over bankruptcy law has recently led to several proposals aimed at making it more difficult to exempt wealth in a bankruptcy in this paper i evaluate uniform exemption policy primarily within the context of the recent congressional proposal h r 975 i develop an incomplete markets model where secured and unsecured assets coexist and are treated differentially in a bankruptcy proceeding i find that exemptions are associated positively with filing rates equity holdings in bankruptcy and welfare i find however that exemptions are strongly negatively associated with the availability of unsecured credit nonetheless the welfare effects of exemptions result from changes in borrowing costs changes in an implicit tax on self insurance and most crucially changes in the level of state contingency provided by unsecured debt as a quantitative matter these effects are resolved in a favor of a minor but positive role for exemptions

uncertain lifetime and intertemporal choice risk aversion as a rationale for time discounting this article makes explicit the links between preferences over lotteries on length of life and intertemporal choice it shows that the approach used by traditional life cycle models to account for uncertain survival corresponds to a strong assumption of risk neutrality with respect to length of life relaxing such an assumption leads us to develop a more general formulation of lifetime utility in which time discounting is directly related to preferences over length of life exponential and hyperbolic discounting are found to result in a first approximation from constant and hyperbolic risk aversion with respect to length of life

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