The taxation of life annuities under adverse selection

This paper studies how annuities should be taxed in a Mirrlees-type model in the presence of adverse selection and a positive link between income and longevity. The government is able to address the adverse selection problem by implementing a progressive marginal tax rate on annuities. This amounts to subsidizing small annuities (purchased by low incomes) and taxing large annuities (purchased by high incomes). Numerical simulations suggest that the taxation is significant and becomes more pronounced as annuitants get older.     

Adverse Selection in the Annuities Market and the Impact of Privatizing Social Security

The observation that few Americans purchase life annuities has often been attributed to adverse selection. A still unanswered question is whether observable price increases caused by adverse selection can be generated endogenously in a life cycle model. This paper calibrates a pure life cycle model for a characteristic US cohort and reproduces three stylized facts. Adverse selection increases annuity prices by 7–10 percent; the cost of adverse selection rises with the age of the annuitant; and the cost is smaller for females than for males. Social security privatization could reduce annuity prices by between 2 and 3 percent.     

Asymmetric Information and Annuities

The standard Rothschild and Stiglitz (1976) and Wilson (1977) analysis of adverse selection economies is extended to a particular model of annuity market which features both elements of moral hazard and adverse selection. Individuals are heterogeneous with respect to time preferences and they make investments in health care that affect their survival probabilities. The main case considered is that where both preferences and investments (and hence the endogenous survival probabilities) are unobserved. Thus, the model captures a further source of inefficiency that is particular to annuity market: an endogenous correlation between the desire for annuities and the survival probabilities. The basic insights of Wilson (1977) —as worked out by Eckstein, Eichenbaum and Peled (1985) —are worth also in this new setting. When the equilibrium is separating, the government intervention may yield Pareto improvements. If the equilibrium is pooling, the government intervention may improve the well‐being of individuals affected by the inefficiencies and the negative externalities caused by the asymmetric information.     

Annuity Values in Defined Contribution Retirement Systems: Australia and Singapore Compared

Annuities promise to play an increasingly important role in countries with national defined contribution retirement systems. In this article we examine life annuities in two countries, Singapore and Australia, each of which has a national mandatory pension program. Exploiting data on annuity pricing and purchase behaviour, we compare the money's worth of life annuity products across these two nations. Our results indicate that, after controlling on administrative loadings, there are important differences in measured adverse selection. Part of the explanation may be due to the different structures of the two countries’retirement systems.     

Collective Annuities and Redistribution

This paper studies the role of alternative pension systems that offer collective annuities. The defining characteristic of collective annuities is that they do not depend on an individual's survival probabilities. We show that such a system may be welfare improving (with a utilitarian social welfare function) even when private annuity markets are perfect and when life expectancy and earning abilities are positively correlated (i.e., in a setting that is  a priori  biased against collective annuities). We first concentrate on linear pension systems and contrast two schemes: a pure contributory (Bismarckian) pension and a flat rate (Beveridgean) pension. We show that the case for collective annuities is stronger when they are associated with a flat pension system. Then we analyze nonlinear pension schemes. We show that the solution can be implemented by a pension scheme associated with annuities that reflect some degree of "collectiveness." Unlike under pure collective annuities, benefits do depend on life expectancy but to a lesser degree than with actuarially fair private annuities. In other words, the impact of survival probabilities is mitigated rather than completely neutralized.     

Refundable Annuities (Annuity Options)

Individuals can insure themselves perfectly against uncertainty about the length of life by purchasing deferred annuities early in life. In the absence of other uninsurable uncertainties (e.g., income), there will be no residual purchases or sales of annuities later in life, thereby avoiding any  adverse-selection . In contrast, the presence of such uncertainties creates an active residual annuity market based on the arrival of new information. We characterize the equilibrium in the residual annuity market and propose a new financial instrument,  refundable annuities  with a guaranteed refund price, which enables individuals who hold a portfolio of such annuities to better adjust their optimum consumption plan to different realizations. Refundable annuities are shown to be equivalent to  annuity options , that is, options that, if exercised, enable the purchase of annuities later in life at a predetermined price. Holding a variety of refundable annuities is ( ex ante ) welfare enhancing.     

A dynamic analysis of the demand for health insurance and health care

We find that asymmetric information is important for the uptake of supplementary private health insurance and health care utilization. We use dynamic panel data models to investigate the sources of asymmetric information and distinguish short-run selection effects into insurance from long-run selection effects. Short-run selection effects (i.e. responses to shocks) are adverse, but small in size. Also long-run effects driven by differences in, for example, preferences and risk aversion, are small. But we find some evidence for multidimensional asymmetric information. For example, mental health causes advantageous selection. Estimates of health care utilization models suggest that moral hazard is not important.     

Illiquid life annuities

In this paper, we consider illiquid life annuity contracts and show that they may be preferred to those illustrated by Yaari. In an overlapping generations economy, liquid life annuities are demanded only if the equilibrium is dynamically inefficient. However, an equilibrium displaying a positive demand for illiquid life annuities is indeed efficient. In this latter case, the welfare at steady state is larger if illiquid life annuity contracts are available.     

Effects of uncertain lifetime and annuity insurance on capital accumulation and growth

Summary.  This paper studies the effects of uncertain lifetime on capital accumulation and growth and also the sensitivity of those effects to the existence of a perfect annuities market. The model is an overlapping generations model with uncertain lifetimes. The technology is convex and such that the marginal product of capital is bounded away from zero. A contribution of this paper is to show that the existence of accidental bequests may lead the economy to an equilibrium that exhibits asymptotic growth, which is impossible in an economy with a perfect annuities market or with certain lifetimes. This paper also shows that if individuals face a positive probability of surviving in every period, they may be willing to save at any age. This effect of uncertain lifetime on savings may also lead the economy to an equilibrium exhibiting asymptotic growth even if there exists a perfect annuities market. Received: April 17, 1996; revised version: December 9, 1997     

Annuities, Bequests, and Portfolio Diversification

In this article, the diversification motives of the demand for annuities is analyzed. Using a model allowing for the uncertainty of both the human life length and the interest rate, the Decision Maker is supposed to choose an optimal portfolio to maximize a bequest. Conditions under which an increase in the risk of bond returns increase the demand for annuities are proposed and discussed. Moreover, it is shown that, contrary to previous claims, more risk adversion is associated with a lower demand for annuities.     

Adverse selection and statistical discrimination: An analysis of Canadian automobile insurance

Statistical discrimination occurs when a characteristic, such as sex, is used as an indicator of the risk group of an individual. The theory of adverse selection is used to explain the occurrence of statistical discrimination. A model of the market for collision insurance, which is based on the theory of adverse selection, is estimated on Canadian data. The results suggest that adverse selection occurs in this market. Simulations of the effect of prohibiting sexual discrimination in the 21–24 age group indicate that the premiums for single females would increase substantially and that a significant proportion would no longer purchase collision insurance.     

Economic reforms and industrial policy in a panel of Chinese cities

We study the effect of place-based industrial policy on economic development, focusing on the establishment of Special Economic Zones (SEZ) in China. We use data from a panel of Chinese (prefecture-level) cities from 1988 to 2010. Our difference-in-difference estimation exploits the variation in the establishment of SEZ across time and space. We find that the establishment of a state-level SEZ is associated with an increase in the level of GDP of about 20 %. This finding is confirmed with alternative specifications and in a sub-sample of inland provinces, where the selection of cities to host the zones was based on administrative criteria. The main channel is a positive effect on physical capital accumulation, although SEZ also have a positive effect on total factor productivity and human capital investments. We also investigate whether there are spillover effects of SEZ on neighboring regions or cities further away. We find positive and often significant spillover effects.     

Adverse selection and corporate governance

This paper examines the impact of corporate governance on the adverse selection component of the bid-ask spread of stocks listed on the Singapore Exchange. These companies have been identified by Credit Lyonnais Securities Asia (CSLA) with the highest level of corporate governance among 25 emerging markets. We measure corporate governance by several criteria: discipline, transparency, independence, accountability, responsibilities, fairness, and social awareness. The results show that corporate governance has an inverse relationship with adverse selection. However, only the transparency dimension exhibits a significant inverse relationship with adverse selection. In addition, Government-Linked Companies (GLCs) are shown to have a smaller adverse selection component than non-GLCs.     

An upper bound for wealth distribution in a model of accidental bequests

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

The Inherited Inequality: How Demographic Aging and Pension Reforms can Change the Intergenerational Transmission of Wealth

The role of inherited wealth in modern economies has increasingly come under scrutiny. This study presents one of the first attempts to shed light on how demographic aging could shape this role. It shows that, in the absence of retirement annuities, or for a given level of annuitization, both increasing longevity and decreasing fertility should reduce the inherited share of total wealth in a given economy. Thus, aging is not likely to explain a recent surge in this share in some advanced economies. Shrinking retirement annuities, however, could offset and potentially reverse these effects. The paper also shows that individual bequests will be more unequally distributed if aging is driven by a drop in fertility. In comparison, the effect of increasing longevity on their distribution is non‐monotonic.     

Genetic adverse selection: Evidence from long-term care insurance and Huntington disease

Individual, personalized genetic information is increasingly available, leading to the possibility of greater adverse selection over time, particularly in individual-payer insurance markets. We use data on individuals at risk for Huntington disease (HD), a degenerative neurological disorder with significant effects on morbidity, to estimate adverse selection in long-term care insurance. We find strong evidence of adverse selection: individuals who carry the HD genetic mutation are up to 5 times as likely as the general population to own long-term care insurance. This finding is supported both by comparing individuals at risk for HD to those in the general population and by comparing across tested individuals in the HD-risk population with and without the HD mutation.     

Capital accumulation and longevity

Increased survival probability and expected lifespan is shown to increase capital intensity and welfare in an overlapping generations model with uncertain lifetimes in the presence of annuities market and production.     

The contribution of institutions, trade, and geography to the development process: How robust is the empirical evidence to variations in the sample?

This paper uses an influence spectrum to identify influential subsets in a stylized cross-country data set and finds that institutions, geography, and trade (policy), all appear to play a significant role in the development process for a relatively large sub-sample of countries. For example, equatorial distance, a proxy for geography, becomes positive and significant (originally negative and insignificant) after removing only eight countries or observations from the original sample of sixty-three, while controlling for institutions and trade. In fact, for this set of fifty-five countries all three variables have the correct sign and are statistically significant. As another example, the trade variable becomes positive and significant (originally insignificant) after removing only two countries from the original sample.First version received: May 2003/Final version received: February 2004     

Cross-country evidence on the relationship between regulations and the development of the life insurance sector

Using a global sample, this study sketches the impact of insurance regulations on the life insurance sector, revealing a significant negative association between supervisory control on policy conditions of life annuities as well as pension products and the development of the industry. A similar inverse relation is observed between the index of capital requirements and insurance development. These results hold when we control for demographic factors, economic factors, religious inclination, culture, as well as for other relevant regulations. We also find some evidence that while the overall supervisory power does not matter, the ability to intervene at an early stage could have a positive effect on insurance development. Additionally, the impact of some regulations appears to differ between advanced and developing countries.     

Does asymmetric information matter in the early insurance market? Evidence from the auto insurance market

In the late 1960s, the performance of automobile insurance declined dramatically in Japan in spite of rapid growth in the diffusion rate, and the premiums were sharply raised several times in order to improve the situation. This observation indicates the possible presence of adverse selection (death spiral), and provides an ideal situation for assessing informational asymmetry. Using bodily injury liability (BIL) insurance data from 46 Japanese prefectures over the period 1966 to 1975, this article tests two hypotheses of adverse selection: (i) high-risk drivers were more likely to join the BIL insurance market and (ii) sharp premium increases drove low-risk policyholders away. Various empirical analyses show that there is little evidence for either type of adverse selection. We also test whether a risk-misperception hypothesis can explain our results, and find some evidence that the population density have a significantly positive impact on the demand for BIL insurance.