Testing Adverse Selection With Two‐Dimensional Information: Evidence From the Singapore Auto Insurance Market

This article examines adverse selection in insurance markets with two‐dimensional information: policyholders’ riskiness and degree of risk aversion. We build a theoretical model to make equilibrium predictions on competitive insurance screening. We study several variations on the pattern of information asymmetry. The outcomes range from full separation to partial separation, and complete pooling of risk types. Next, we propose a copula approach to jointly examine policyholders’ coverage choice and accident occurrence in the Singapore automobile insurance market. Furthermore, we invoke the theory to identify subgroups of policyholders for whom one may expect the risk–coverage correlation and adverse selection to arise.     

Adverse Selection With Frequency and Severity Risk: Alternative Risk‐Sharing Provisions

The analysis considers an insurance market with adverse selection where individuals' loss distributions may differ with respect to both the frequency and severity of loss. We show that the combination of deductibles and coinsurance can be used to sort rationed policyholders. Because of their screening properties, coinsurance and deductibles may both be equilibrium forms of risk sharing for a particular insurer facing asymmetric information, with different rationed consumers choosing different risk‐sharing provisions.     

Informational Cascade in the Insurance Market

We develop an informational cascade model based on Bikhchandani, Hirshleifer, and Welch (1992) with applications to the insurance market. We investigate the existence of cascades and the effects of public information on cascades. We apply the results to insurance markets to explain how catastrophic events may lead to demand increases, how loss shocks may lead to insurance cycles, and how the heterogeneity of policyholders affects the choice of limited tort auto insurance in Pennsylvania.     

保险公司偿付能力风险信息对称性与市场供求

保险公司偿付能力充足性是保险监管的内容之一,但是这一信息却往往不被投保人所获知,造成保险供给(保险公司)和保险需求(投保人)两方信息的不对称.本文以保险公司存在偿付能力风险为基本假定,以累积性预期理论和风险调整资本收益率构建保险需求和供给模型,分析在信息对称条件下和信息不对称条件下保险需求的变化及其对保险供给和保险公司...     

Insurance Markets With Differential Information

This article attempts to understand the outcomes when each party of an insurance contract simultaneously has superior information. I assume that policyholders have superior information about specific risks while insurers have superior information about general risks. I find that low-general-risk policyholders purchase insurance, while high-general-risk policyholders are self-insured. Among the low-general-risk policyholders, high-specific-risk policyholders purchase full insurance, while low-specific-risk policyholders purchase partial insurance. When insurers can strategically publicize their information, efficiency is improved because high-general-risk policyholders purchase actuarially fair insurance. The market segmentation is also found based on the general-risk type and the publicizing of information.     

Erklärungsansätze für vertragswidriges Verhalten Versicherungsnehmern aus Sicht der ökonomischen Theorie

The two main purposes of this paper are an introduction to the economic analysis of insurance fraud and furthermore a derivation of factors that determine fraudulent behavior of policyholders on insurance markets. Consequently, we analyze the strategic decision problems of insurance companies and the policyholders and identify some factors that can help to reduce fraudulent behavior. In this context we evaluate two derived starting points for the combat against insurance fraud: fraud detection systems and a consequent charge policy of detected defrauders. We illustrate that both points can help to reduce the cost of fraud. Furthermore, we enhance our earlier analysis with respect to the empirical fact that some individuals care about fairness or — in the insurance fraud context — the legitimacy of their actions. Surprisingly, in some market situations these concerns of some policyholders do not lead to a lower fraud probability. Finally, we discuss how and to what extent insurance companies can influence such ethical concerns of policyholders. On that score, we distinguish insurance specific and insurance unspecific factors and their impact on the consumers attitudes towards insurance fraud.     

Testing for Adverse Selection in Insurance Markets

This article reviews and evaluates the empirical literature on adverse selection in insurance markets. We focus on empirical work that seeks to test the basic coverage–risk prediction of adverse selection theory—that is, that policyholders who purchase more insurance coverage tend to be riskier. The analysis of this body of work, we argue, indicates that whether such a correlation exists varies across insurance markets and pools of insurance policies. We discuss various reasons why a coverage–risk correlation may not be found in some pools of insurance policies. The presence of a coverage–risk correlation can be explained either by moral hazard or adverse selection, and we discuss methods for distinguishing between them. Finally, we review the evidence on learning by policyholders and insurers.     

Time Deductibles as Screening Devices: Competitive Markets

Seminal papers on asymmetric information in competitive insurance markets, analyzing the monetary deductible as a screening device, show that any existing equilibrium is of a separating type. High risks buy complete insurance, whereas low risks buy partial insurance—and this result holds for the Nash behavior as well as for the Wilson foresight. In this article, we analyze the strength of screening based on limitations to the period of coverage of the contract. We show that in this case (1) the Nash equilibrium may entail low risks not purchasing any insurance at all, and (2) under the Wilson foresight, a pooling equilibrium may exist.     

The Effect of Risk Aversion and Loss Aversion on Equity-Linked Life Insurance With Surrender Guarantees

We price equity-linked life insurance with surrender guarantees and account for risk preferences in the form of risk-averse and loss-averse policyholders in continuous time. Risk-averse policyholders surrender their policy for higher equity index values. Compared to optimally surrendered policies, this behavior creates substantial policy value losses. In contrast, loss-averse policyholders surrender once the surrender benefit realizes a gain but keep under-performing policies. This disposition effect reduces the policy value relative to both optimally surrendered policies and policies surrendered by risk-averse policyholders. Insurers in competitive markets need to estimate their policyholders’ risk preferences accurately.     

Markttransparenz durch Versicherungsaufsicht — Informationsökonomische Begründung der dritten Säule von Solvency II

The paper shows that there will be the possibility of adverse selection in insurance markets, if policyholders are inadequate informed about the solvency of the insurance companies. We analyse potential methods of resolution of the insurance market itself to overcome the informational disadvantages of the policyholders. While screening and signalling by the original market participants do not seem to be successful, transparency of solvency may be obtained by a regulating authority. However the actual instruments of the German regulating authority BAFin do not turn out to be satisfactory in this point. Hence the paper gives chapter for a statement for the third pillar of the Solvency II project. Finally we point out additional demand of research concerning the detailed design of the disclosure requirements.     

Cream Skimming: Innovations in Insurance Risk Classification and Adverse Selection

We demonstrate how innovations in insurance risk classification can lead to adverse selection, or cream skimming, against insurers that are slow to adopt such pricing innovations. Using a model in which insurers with insufficient pricing data cannot differentiate between low‐ and high‐risk policyholders and therefore charge both the same premium, we show how innovative insurers develop new risk classification data to identify overcharged low‐risk policyholders and attract them from rival insurers with reduced prices. Less innovative insurers thus insure a growing percentage of high‐risk customers, resulting in adverse selection attributable to their informational disadvantage. Next, we examine two cases in which “Big Data” innovations in risk classification led to concerns about cream skimming among U.S. auto insurers. First, we track the rapid adoption of credit‐based insurance scores as pricing variables in personal auto insurance markets. Second, we examine the growing popularity of usage‐based insurance programs like telematics, plans in which insurers use data on policyholders’ actual driving behavior to set prices that attract low‐risk customers. Issues associated with the execution of such pricing strategies are discussed. In both cases, we document how rival insurers quickly adopt successful innovations to reduce their exposure to adverse selection.     

On the Lack of Participating Policy Usage by Stock Insurance Companies

Stock insurers can reduce or eliminate agency conflicts between policyholders and stockholders by issuing participating insurance. Despite this benefit, most stock companies don't offer participating contracts. This study explains why. We study an equilibrium with both stock and mutual insurers in which stockholders set premiums to provide a fair expected return on their investment, and with a policyholder who chooses the insurance contract that maximizes her expected utility. We demonstrate that stockholders cannot profitably offer fully participating contracts, but can profitably offer partially participating insurance. However, when the policyholder participation fraction is high, the fair‐return premium is so large that the policyholder always prefers fully participating insurance from the mutual company. Policies with lower levels of policyholder participation are optimal for policyholders with relatively high risk aversion, though such policies are usually prohibited by insurance legislation. Thus, the reason stock insurers rarely issue participating contracts isn't because the potential benefits are small or unimportant. Rather, profitability or regulatory constraints simply prevent stock insurers from exercising those benefits in equilibrium.     

The Impact of Insurance Fraud Detection Systems

This article analyzes the impact of detection systems in an insurance fraud context. In a noncommitment Costly State Verification setting insurers can only detect fraudulent claims by performing costly audits, and policyholders are overcompensated by the optimal insurance contract. We show that auditing becomes more effective and overcompensation can be reduced, when insurers are able to condition their audits on the information provided by detection systems.     

Financial Markets for Unknown Risks if Beliefs Differ

We consider a general equilibrium model with individual and collective risks. The article builds on a contribution by Chichilnisky and Heal, who show that contingent Arrow–Debreu equilibria can also be supported in economies with Arrow securities and mutual insurance contracts. However, they show this to be true in general only if beliefs are identical, a very restrictive assumption in the context of unknown risks. Moreover, they claim complete insurance in equilibrium to be impossible if beliefs are different. We show that even with different beliefs, firstly, complete insurance is possible in each statistical state, and secondly, contingent equilibrium can still be supported in economies with insurance and securities.     

Insurance markets and unisex tariffs: is the European Court of Justice improving or destroying welfare?

We analyze the effects of mandatory unisex tariffs in insurance contracts, such as those required by a recent ruling of the European Court of Justice, on equilibrium insurance premia and equilibrium welfare. In a unified framework, we provide a quantitative analysis of the associated insurance market equilibria in both monopolistic and competitive insurance markets. We investigate the welfare loss caused by regulatory adverse selection and show that unisex tariffs may cause market distortions that significantly reduce overall social welfare.     

Health insurers' use of quality improvement expenses to achieve a minimum medical loss ratio requirement

Health insurer medical loss ratios (MLRs) are the percentage of premium dollar spent on medical claims and healthcare quality improvement expenses (QIEs). QIEs include activities to improve patient health outcomes and safety, reduce medical errors, and prevent hospital readmissions. The Affordable Care Act mandates minimum MLRs in certain health insurance markets lest rebates be paid to policyholders. QIEs are reported in all markets regardless of whether that market is subject to minimum MLR requirements. Using health insurer statutory filings for a sample of group market insurers from 2010 to 2018, we employ a mixed regression discontinuity/regression kink approach to evaluate whether QIEs are used by insurers as a potential strategy for meeting the minimum MLR requirement. We show that health insurers' QIE increase in the loss ratio until meeting the minimum MLR requirement, have a significant discontinuous jump at the threshold, and decrease above the threshold after the introduction of the MLR mandate.     

Understanding Basis Risk in Insurance Contracts

There is a tremendous amount of resources being tied up in litigation between insurance companies and policyholders over things like the extent of coverage for various loss scenarios or allegedly bad faith delays in settlement payments. The fact that policyholders formally dispute insurer coverage positions or claims payment strategies gives credibility to the idea that mismatches exist between what policyholders expect insurance policies to cover and what the insurance contracts actually provide as loss indemnification. This mismatch essentially represents insurance basis risk, the analysis of which can more accurately reflect the value and overall efficiency of insurance contracts and suggest factors that may influence policyholder dissatisfaction and consequently insurance contract disputes. This article takes a detailed look at insurance basis risk and finds that subjectivity plays a prominent role in its definition. Using Bayesian inference, it is shown how factors can affect the magnitude of insurance basis risk depending on the individual situation in which the mismatch between losses and coverage exists.     

The Valuation of Insurance under Uncertainty: Does Information about Probability Matter?

In a laboratory experiment we test the hypothesis that consumers' valuation of insurance is sensitive to the amount of information available on the probability of a potential loss. In order to test this hypothesis we simulate a market in which we elicit individuals' willingness to pay to insure against a loss characterised either by known or else vague probabilities. We use two distinct treatments by providing subjects with different information over the vague probabilities of loss. In general we find that uncertainty about probabilities has a weak impact on consumers' valuation of insurance. However, additional information about probabilities tends to marginally increase the price individuals are willing to pay to insure themselves. Implications for the insurance market are derived.     

Überlegungen zu einem fairen Risikomanagement-Mix in Versicherungsunternehmen

This article deals with the question of how a ?fair risk management mix“ that does not lead to a wealth transfer between shareholders and policyholders can be achieved in a joint-stock insurance company. In our financial model of an insurer, the ?fair“ situation, it is assumed that there is no wealth transfer between shareholders and policyholders when both parties receive a net present value of zero on their investments. Taking the default risk of the insurance company into account, we first model a ?fair“ situation for the insurer’s existing portfolio. Surprisingly, closing a new insurance contract that has been priced on a fair basis and then included in the insurer’s existing portfolio leads to a disequilibrium situation because the net present value for the shareholders is no longer zero. This new net present value can be viewed as the fair price of any risk management measure the insurer must take so as to reestablish an equilibrium for both parties, the shareholders and the policyholders.     

A Study of the Interaction of Insurance and Financial Markets: Efficiency and Full Insurance Coverage

The first contribution of this article is to provide a framework, a model together with a corresponding equilibrium notion, suitable for the study of the interaction between insurance and dynamic financial markets. Our central result is that in equilibrium risk‐averse agents purchase full insurance coverage, despite unfair insurance prices. We identify three conditions that explain this result: (1) insurance contracts are priced competitively, (2) financial prices include a risk premium only for undiversifiable risk, and (3) financial markets are effectively complete. An implication is that in this model disasters can be insured by fully assessable stock insurance companies.