The impact of governmental assistance on insurance demand under ambiguity: a theoretical model and an experimental test

This article deals with the impact of governmental assistance on insurance demand under ambiguity, i.e., in situations where probabilities are uncertain. First, using a model of insurance demand under ambiguity, we derive theoretical predictions about the impact of several governmental assistance programmes on optimal insurance demand. For example, governmental assistance through a fixed public support scheme implies that partial insurance is always optimal under fair insurance with ambiguity. Second, we present the results of an experiment designed to test these predictions. We find support for several of our theoretical predictions. For example, the presence of governmental assistance through a fixed public support scheme decreases individuals’ willingness to pay to be fully insured. Finally, we compare these results with those obtained for a risk situation. We find that, regardless of the form of governmental assistance, participants in the ambiguity context are consistently willing to pay more to be fully insured than participants in the risk situation.     

Does insurance fraud in automobile theft insurance fluctuate with the business cycle?

Financial institutions face various cyclical risks, but very few studies have analyzed the cyclicality of operational risk. External fraud is an important operational risk faced by insurers. In this research, we analyze the empirical relationship between insurance fraud and the business cycle and we concentrate our study on two insurance contracts that may create an incentive to defraud. We find that residual insurance fraud exists both in the contract with replacement cost endorsement and the contract with no-deductible endorsement in the Taiwan automobile theft insurance market. These results are consistent with previous literature on the relationship between fraud activity and non-optimal insurance contracting. We also show that the severity of insurance fraud is countercyclical. Fraud is stimulated during periods of recession and mitigated during periods of expansion. Although this last result seems intuitive, our contribution is the first to measure its significance.     

One-sided commitment in dynamic insurance contracts: Evidence from private health insurance in Germany

This paper studies long-term private health insurance (PHI) in Germany. It describes the main actuarial principles of premium calculation and relates these to existing theory. In the German PHI policyholders do not commit to renewing their insurance contracts, but insurers commit to offering renewal at a premium rate that does not reflect revealed future information about the insured risk. We show that empirical results are consistent with theoretical predictions from one-sided commitment models: front-loading in premiums generates a lock-in of consumers, and more front-loading is generally associated with lower rates of lapse. Due to a lack of consumer commitment, dynamic information revelation about risk type implies that high-risk policyholders are more likely to retain their PHI contracts than are low-risk types.     

Uncertain indemnity and the demand for insurance

This paper considers the demand for insurance in a model with uncertain indemnity. Uncertain indemnity tends to increase the demand for insurance for precautionary reasons, but it also tends to decrease the demand due to the risk created by indemnity uncertainty. When the coefficient of relative prudence is not too large, uncertain indemnity reduces the demand for insurance and partial coverage is optimal even at actuarially fair premiums. In addition, insurance may be an inferior good or a normal good, depending on the behavior of absolute risk aversion and the magnitude of the coefficient of relative risk aversion.     

Excluded losses and the demand for insurance

The demand for insurance is examined when the insured asset can incur losses that are excluded from insurance coverage. These losses are negatively correlated with covered losses and hence cannot be treated as background risk. Excluded losses have strikingly different effects on the demand for insurance than does background risk and lead to a modification of many standard insurance demand results. A number of new theorems concerning the effects of excluded losses are also presented. Risk-averse and prudent decision makers reduce their demand for insurance when excluded losses increase in size or riskiness. Excluded losses are a possible explanation for why many decision makers fail to take up insurance when it is offered.     

Insurance with undiversifiable risk: Contract structure and organizational form of insurance firms

Previous explanations of the contract choice and organizational form of insurance firms do not explain, by themselves, the recent proliferation of mutuals and new contract designs. We first present risk-bearing arguments to address these phenomena. We present two forms of insurance. The first is a conventional transfer of risk whereas the second decomposes risk between idiosyncratic and nonidiosyncratic. We show that the latter form leads to more active trade in insurance markets with correlated exposures. Moreover, the decomposed form dominates the simple transfer. These results qualify and extend the work of Borch (1962) and Marshall (1974). Market responses to the recent liability insurance crisis are compatible with these predictions.This research was conducted while G. Dionne was visiting the University of Pennsylvania under grants from Huebner Foundation and CRSH Canada. N. Doherty wishes to acknowledge with thanks support from the National Science Foundation under grant #88-09299. We wish to thank Patricia Danzon, Beverly Dahlby, Claude Fluet, James Garven, Scott Harrington, Howard Kunreuther, Clifford Smith Jr., George Theall, Kip Viscusi, and a referee for helpful comments.     

An Experiment on Rational Insurance Decisions

We describe the results of an experiment on decision making in an insurance context. The experiment was designed to test for the underlying rationality of insurance consumers, where rationality is understood in usual economic terms. In particular, using expected utility as the preference function, we test for positive marginal utility, risk aversion, and decreasing absolute risk aversion, all of which are normal postulates for any microeconomic decision context under uncertainty or risk. We find that there the discrepancy from rational decision making increases with the sophistication of the rationality criteria, that irrationality concerning fair premium contracts is uncharacteristically high, and that the slope of absolute risk aversion seems to depend on the format of the insurance contract. This revised version was published online in June 2006 with corrections to the Cover Date.     

Insuring September 11th: Market Recovery and Transparency

The terrorist attacks on the World Trade Center caused unprecedented economic and structural ramifications in the insurance markets, resulting in considerable uncertainty and informational asymmetry. We test several theoretical models of how markets respond to and recover from extreme capital shocks. Using the capacity constraint, post-loss investment and implicit insurance contract models, we develop testable hypotheses predicting the temporal and cross sectional variation in insurance company stock prices following September 11th. We find evidence consistent with the models' predictions, in particular, the predictions regarding relations between net losses and leverage and stock price performance after the shock.     

Behavioral insurance: Theory and experiments

“Risk and insurance” provides an illustrative set of decisions made in the presence of uncertainty. As behavioral models become more integrated into economics and finance, many of their effects are illustrated quite well within insurance markets. Especially noteworthy are the complementary roles of theory and experiments. This article reviews the interactive role of experiments and theory in analyzing insurance demand from a behavioral perspective. We pay special attention to several models of underinvestment in insurance or in other risk-mitigation markets.     

Lessons from the American federal-state unemployment insurance system for a European unemployment benefits system

This article reviews practices in the United States (US) federal-state unemployment insurance (UI) system regarding applicant eligibility, benefit generosity, benefit financing and emergency measures with the aim of revealing lessons for a possible European unemployment benefit system (EUBS) for European Union (EU) Member States. We overview the US system for UI and examine important areas of federal leadership. While the US system offers some good ideas for setting up an EUBS, there are also lessons in some shortcomings of the US experience. We overview existing national UI systems in the EU and review the debate on an EUBS in the EU. We identify areas of risk for individual and institutional moral hazard in a multi-tiered UI system and give examples of monitoring methods and incentives to ameliorate such risks. We suggest approaches for gradual system development, encouraging lower-tier behaviour, benefit financing, and responses to regional and system-wide labour market crises.     

Single-year and multi-year insurance policies in a competitive market

This paper examines the demand and supply of annual and multi-year insurance contracts with respect to protection against a catastrophic risk in a competitive market. Insurers who offer annual policies can cancel policies at the end of each year and change the premium in the following year. Multi-year insurance has a fixed annual price for each year and no cancellations are permitted at the end of any given year. Homeowners are identical with respect to their exposure to the hazard. Each homeowner determines whether or not to purchase an annual or multi-year contract so as to maximize her expected utility. The competitive equilibrium consists of a set of prices where homeowners who are not very risk averse decide to be uninsured. Other individuals demand either single-year or multi-year policies depending on their degree of risk aversion and the premiums charged by insurers for each type of policy.     

Propitious selection in insurance

The theory of propitious selection suggests that there are risk-avoiding personalities who both take physical precautions and buy financial security (insurance). Conversely, there are risk seekers who tend to do neither. Survey evidence is presented that is consistent with the theory. Individuals who obtain motor vehicle liability coverage are less likely than others to drink-and-drive, and are more likely to engage in health-beneficial (risk-avoiding) behaviors. Propitious selection may be a general phenomenon promoting favorable selection in many real world insurance markets.This research was supported by the Harvard Injury Control Center, funded by the Centers for Disease Control. Special thanks to Jennifer Carter, Sara Solnick, and also to Beth Sprinkel of the Insurance Research Council. Useful suggestions were received from Eric Latimer, Roger Davis, Marcello Pagano, and anonymous reviewers. The raw data were obtained from the Roper Center for Public Opinion Research in Storrs, Connecticut.     

Ambiguity aversion and the propensities for self-insurance and self-protection

Two models of ambiguity preferences that permit comparative statics analysis of greater ambiguity aversion yield definite predictions concerning propensities for self-insurance and self-protection: The levels of both activities that are optimal for an ambiguity-averse decision maker are higher in the presence of ambiguity than in its absence, and demands for both activities increase with greater ambiguity aversion. The reason is that, at levels optimal for one decision maker, an increase in either activity results in a mean-preserving contraction in the distribution of expected utility in the presence of ambiguity, which is valuable to anyone with the same risk preferences who is more ambiguity averse.     

Arrow’s theorem of the deductible: Moral hazard and stop-loss in health insurance

The logic of Arrow’s theorem of the deductible, i.e. that it is optimal to focus insurance coverage on the states with largest expenditures, remains at work in a model with ex post moral hazard. The optimal insurance contract takes the form of a system of “implicit deductibles”, resulting in the same indemnities as a contract with full insurance above a variable deductible positively related to the elasticity of medical expenditures with respect to the insurance rate. In a model with a predefined ceiling on expenses, there is no reimbursement for expenses below the stop-loss amount. One motivation to have some insurance below the deductible arises if regular health care expenditures in a situation of standard health have a negative effect on the probability of getting into a state with large medical expenses.     

Design limitations of long-term care insurance schemes: A comparative study of the situation in Spain

Social and demographic changes are gradually transforming the way Western societies cope with old‐age dependency, in particular the provision of long‐term care (LTC). In response to the need for formal care services and financing instruments, this study examines a range of both private and public insurance tools. As a general rule, LTC insurance is markedly underdeveloped. Furthermore, in southern European countries, the role of the public sector in LTC is unclear compared with its role in other, related welfare areas such as healthcare. The study examines the financing alternatives for LTC insurance, taking as its benchmark the Spanish LTC financing reform. It briefly examines some existing, publicly funded LTC financing tools and explores the potential role of private LTC insurance, arguing that it has an active part to play alongside compulsory mainstream insurance schemes and self‐insurance alternatives. As in other European countries, Spanish social attitudes show a preference for some kind of general entitlement to publicly funded schemes, although this preference is subject to significant regional heterogeneity.     

Dynamic Decision Making when Risk Perception Depends on Past Experience

The aim of the article is to propose a preferences representation under risk where risk perception can be past experience dependent. A first step consists in considering a one-period decision problem where individual preferences are no more defined only on decisions but on pairs (decision, past experience). The obtained criterion is used in the construction of a dynamic choice model under risk. The article ends with an illustrative example concerning insurance demand. It appears that our model allows to explain modifications in the insurance demand behavior over time observed on the insurance markets for catastrophic risk and difficult to justify with standard models.     

Guaranteed renewability uniquely prevents adverse selection in individual health insurance

New models of multi-period insurance show that health insurance buyers can be protected against changes in premiums from health shocks associated with chronic conditions by the addition of “guaranteed renewability” provisions. These models assume that a buyer’s risk level in every time period is observed by all insurers. They also require a premium sequence that is “front-loaded,” which may be costly to buyers if capital markets are imperfect. We relax the common knowledge feature of the model by assuming that a person’s risk in any time period is known only by that individual and the current insurer. One might suspect that a premium sequence with higher later period premiums would be incentive compatible because low risks will have less desirable offerings from alternative insurers. However, we show that generally, only the original premium schedule is incentive compatible, and attempts to alter front-loading will not be an equilibrium.     

Bad news about bad news: the disclosure of risks to insurability in research consent processes

One of the phenomena associated with research is "incidental findings," that is, unexpected findings made during the research, and outside the scope of the research, which have potential health importance. One underappreciated risk of incidental findings is the potential loss of the research subject's insurability; or if a research subject fails to disclose incidental findings when applying for insurance, the insurance contract may be voidable by the insurer. In this article, we seek to explain the insurability risks associated with incidental findings and to make recommendations for how researchers and research ethics committees should address the issue of disclosure of these risks.     

Social protection in the Republic of Korea: Social insurance and moral hazard

Abstract As reported in numerous studies, the system of social protection in the Republic of Korea long remained underdeveloped because of the priority given instead to economic growth. The past few years have seen major changes, however. The government decided to apply the theory of “productive welfare”, thereby committing itself to introducing a system of universal statutory social insurance which is intended to set the seal on a new social compact and which may, ultimately, impact on the model of socioeconomic development itself. This article outlines the recent changes in insurance against sickness, unemployment and old age and goes on to describe the moral hazard facing the new system of social insurance and the need for a form of joint management in order to minimize this hazard.