Long term care insurance puzzle

The purpose of this paper is to examine the alternative explanatory factors of the so-called long term care insurance puzzle, namely the fact that so few people purchase a long term care insurance whereas this would seem to be a rational conduct given the high probability of dependence and the high costs of long term care. For that purpose, we survey various theoretical and empirical studies of the demand and supply of long term care insurance. We discuss the vicious circle in which the long term care insurance market is stuck: that market is thin because most people find the existing insurance products too expensive, and, at the same time, the products supplied by insurance companies are too expensive because of the thinness of the market. Moreover, we also show that, whereas some explanations of the puzzle involve a perfect rationality of agents on the LTC insurance market, others rely, on the contrary, on various behavioral imperfections.long term care insurance, dependence, annuity puzzle

Wives, husbands and wheelchairs : Optimal tax policy under gender-specific health

We study the optimal taxation problem in an economy composed of two-person households (men and women), where agents influence their own old-age dependency prospects through health spending. It is shown that the utilitarian social optimum can be decentralized by means of lump sum transfers from men to women, because women exhibit a higher disability-free life expectancy than men for a given level of health spending. Once self-oriented concerns for coexistence are introduced, the decentralization of the first-best requires also gender-specific subsidies on health spending aimed at internalizing the effect of each agent's health on the spouse's welfare. In the presence of singles in the population, the optimal policy requires also a differentiated subsidization of health spending for singles and couples. Finally, under imperfect observability of couples, the incentive compatibility constraints reinforce the need for subsidization of health spendingslong term care, optimal taxation, preventive health spending, gender differentials, old age dependency

Optimal tax policy and expected longevity: a mean and variance approach

This paper studies the normative problem of redistribution between agents who can influence their survival probability through private health spending, but who differ in their attitude towards the risks involved in the lotteries of life to be chosen. For that purpose, we develop a two-period model where agents's preferences on lotteries of life can be represented by a mean and variance utility function allowing, unlike the expected utility form, some – agent-specific – sensitivity to what Allais (1953) calls the 'dispersion of psychological values'. It is shown that if agents ignore the impact of their health expenditures on the return of their savings, the decentralization of the first-best optimum requires not only intergroup lump-sum transfers, but, also, group-specific taxes on health spending. Under asymmetric information, we find that a subsidy on savings is optimal, whereas group-specific taxes on health spending are of ambiguous signs.longevity, risk, lotteries of life, expected utility theory, health spending.

Utilitarianism and unequal longevities : A remedy?

This paper re-examines a counterintuitive corollary of utilitarianism under unequal longevities: the tendency to redistribute resources from short-lived towards long-lived agents, against any intuition of compensation. It is shown that this corollary prevails not only under time-additive lifetime welfare, but, also, in general, under non-additive lifetime welfare, so that this counterintuitive redistributive corollary is a robust argument against utilitarianism. This paper studies a remedy to that counterintuitive corollary. This consists in imputing, when solving the social planner's problem, the consumption equivalent of a long life to the consumption of long- lived agents. We identify the conditions under which such a modified utilitarian optimum involves a compensation of short-lived agents with respect to the laissez-faire. That remedy is also applied to an economy with risky longevity, where short-lived agents are penalized not only by the limited opportunities to spread resources over time (due to a shorter life), but, also, by lost savings (due to unanticipated death).utilitarianism, differential longevity, compensation, redistribution, consumption equivalent

Should we Subsidize Longevity?

This paper studies the design of the optimal non linear taxation in an economy where longevity varies across agents, and depends on three factors: longevity genes, health investment and farsightedness. Provided earnings, farsightedness and genes are correlated, governmental intervention can be justified on two grounds: correction for a lack of farsightedness and redistribution across both earnings and genetic dimensions. Whether longevity-enhancing spending should be subsidized or taxed is shown to depend on the combined effects of myopia, self-selection and free-riding on the annuity returns. Our policy conclusions depend also on how productivity and genes are correlated, on the complementarity of genes and efforts in the survival function, and on how the government weights the welfare of heterogeneous agents. All in all, it might be desirable to tax longevity-enhancing spending.optimal taxation, longevity, genetic background, heterogeneity, myopia

Optimal fertility along the lifecycle

We explore the optimal fertility age-pattern in a four-period OLG economy with physical capital accumulation. For that purpose, we .rstly compare the dynamics of two closed economies, Early and Late Islands, which di¤er only in the timing of births. On Early Island, children are born from parents in young adulthood, whereas, on Late Island, children are born from parents in older adulthood. We show that, unlike on Early Island, there exists no stable stationary equilibrium on Late Island, which exhibits cyclical dynamics. We also characterize the social optimum in each economy, and show that Samuelson.s Serendipity Theorem still holds. Finally, we study the dynamics and social optimum of an economy with interior fertility rates during the reproduction period. It is shown that various fertility age-patterns are compatible with the social optimum, as long as these yield the optimal cohort growth rate. The Serendipity Theorem remains valid in that broader demographic environment

Equivalent income versus equivalent lifetime: does the metric matter?

peer reviewe

The public economics of increasing longevity

peer reviewedOne of the greatest success stories in our societies is that people are living longer, life expectancy at birth being now above 80 years. Whereas the lengthening of life opens huge opportunities for individuals if extra years are spent in prosperity and good health, it is however often regarded as a source of problems for policy-makers. The goal of this paper is to examine the key policy challenges raised by increasing longevity. For that purpose, we first pay attention to the representation of individual preferences, and to the normative foundations of the economy, and, then, we consider the challenges raised for the design of the social security system, pension policies, preventive health policies, the provision of long term care, as well as for long-run economic growth

Optimal Fertility along the Lifecycle

We explore the optimal fertility timing in a four-period OLG economy with physical capital, whose specificity is to include not one, but two reproduction periods. It is shown that, for a given total fertility rate, the economy exhibits quite different dynamics, depending on the timing of births. If all births take place in the late reproduction period, there exists no stable stationary equilibrium and the economy exhibits cyclical dynamics due to labor growth fluctuations. We characterize the long-run social optimum and show that optimal consumptions and capital depend on the optimal cohort growth factor, so that there is no one-to-one substitutability between early and late fertility. We also extend Samuelson's Serendipity Theorem to our economy and study the robustness of our results to: (1) endogenizing fertility timing, (2) assuming rational anticipations about factor prices, (3) adding a third reproduction period