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.     

Equilibrium in Competitive Insurance Markets Under Adverse Selection and Yaari's Dual Theory of Risk

Under Yaari's dual theory of risk, we determine the equilibrium separating contracts for high and low risks in a competitive insurance market, in which risks are defined only by their expected losses, that is, a high risk is a risk that has a greater expected loss than a low risk. Also, we determine the pooling equilibrium contract when insurers are assumed non-myopic. Expected utility theory generally predicts that optimal insurance indemnity payments are nonlinear functions of the underlying loss due to the nonlinearity of agents' utility functions. Under Yaari's dual theory, we show that under mild technical conditions the indemnity payment is a piecewise linear function of the loss, a common property of insurance coverages.     

Screening equilibria in experimental markets

We conduct an experimental test of a screening model of an insurance market with asymmetric information. We first conduct three sessions in which the proportion of high risk buyers is such that a separating equilibrium should exist. We then conduct three more sessions in which the only change we make is decreasing the proportion of high risks such that the equilibrium is now a pooling equilibrium. In both treatments, the observed behavior converges to the equilibrium prediction.

The design of an optimal insurance contract for irreplaceable commodities

This paper discusses optimal insurance contract for irreplaceable commodities. To describe the dual impacts on individuals when a loss occurs to the insured irreplaceable commodities, we use a state-dependent and bivariate utility function, which includes both the monetary wealth and sentimental value as two arguments. We show that over (full, partial) insurance is optimal when a decrease in sentimental value will increase (not change, decrease, respectively) the marginal utility of monetary wealth. Moreover, a non-zero deductible exists even without administration costs. Furthermore, we demonstrate that a positive fixed reimbursement is optimal if (1) the premium is actuarially fair, (2) the monetary loss is a constant, and (3) the utility function is additively separable and the marginal utility of money is higher in the loss state than in the no-loss state. We also characterize comparative statics of fixed-reimbursement insurance under an additively separable preference assumption. JEL Classification G22 · D86 The author acknowledge funding from National Science Council in Taiwan (NSC93-2416-H-130-020).     

Complete Versus Incomplete Insurance Contracts under Adverse Selection with Multiple Risks

This article extends the standard adverse-selection model for competitive insurance markets, which assumes a single source of risk, to the case where individuals are subject to multiple risks. We compare the following market situations—the case where insurers can offer comprehensive policies against all sources or risks (complete contracts) and the case where different risks are covered by separate policies (incomplete contracts). In the latter case, we consider whether the insurer of a particular risk has perfect information regarding an individual's coverage against other sources of risks. The analysis emphasizes the informational role of bundling in multidimensional screening. When the market situation allows bundling, it is shown that in equilibrium the low-risk type with respect to a particular source of risk does not necessarily obtain partial coverage against that particular risk.     

Competitive Insurance Markets and Adverse Selection in the Lab

We provide an experimental analysis of competitive insurance markets with adverse selection. Our parameterised version of the lemons’ model of Akerlof in the insurance context predicts total crowding-out of low risks when insurers offer a single full insurance contract. The therapy proposed by Rothschild and Stiglitz consists of adding a partial insurance contract so as to obtain self-selection of risks. We test the theoretical predictions of these two models in two experiments. A clean test is obtained by matching the parameters of these experiments and by controlling for the risk neutrality of insurers and the common risk aversion of their clients by means of the binary lottery procedure. The results reveal a partial crowding-out of low risks in the first experiment. Crowding-out is not eliminated in the second experiment and it is not even significantly reduced. Finally, instead of the predicted separating equilibrium, we find pooling equilibria. The latter can be sustained because insureds who objectively differ in their risk level do not perceive themselves as being so much different.     

On the Role of Patience in an Insurance Market With Asymmetric Information

We analyze a two-period competitive insurance market that is characterized by the simultaneous presence of moral hazard and adverse selection with regard to consumer time preferences. It is shown that there exists an equilibrium in which patient consumers use high effort and buy an insurance contract with high coverage, whereas impatient consumers use low effort and buy a contract with low coverage or even remain uninsured. This finding may help to explain why the opposite of adverse selection with regard to risk types can sometimes be observed empirically.     

Background Uncertainty and the Demand for Insurance Against Insurable Risks

Theory suggests that people facing higher uninsurable background risk buy more insurance against other risks that are insurable. This proposition is supported by Italian cross-sectional data. It is shown that the probability of purchasing casualty insurance increases with earnings uncertainty. This finding is consistent with consumer preferences being characterized by decreasing absolute prudence.     

Competition and Insurance Twenty Years Later

We are honored to address the European Group of Risk and Insurance Economists and will take the opportunity to make some reflections on the rather uneasy relationship between insurance and competition. Economists generally prescribe competition as a solution for markets that do not work well. Competition allocates resources efficiently and encourages innovation and attention to what customers want. Insurance markets differ from most other markets because in insurance markets competition can destroy the market rather than make it work better. One of the dimensions along which insurance companies compete is underwriting—trying to ensure that the risks covered are “good” risks or that if a high risk is insured, the premium charged is at least commensurate with the potential cost. The resulting partitioning of risk limits the amount of insurance that potential insurance customers can buy. In the extreme case, such competitive behavior will destroy the insurance market altogether. A simple model illustrates.     

Corporate Insurance Strategy: The Case of British Petroleum

The authors provide a fundamental rethinking of how corporations should evaluate various kinds of risks and risk management solutions—a rethinking that leads to a major shift in British Petroleum's approach to insuring property and casualty losses, product liability suits, and other insurable events. Conventional corporate practice—and until the early 1990s (when this article was written) the longstanding policy of BP and most large oil companies—was to insure against large losses while self‐insuring against smaller ones. In this article, the authors explain why BP has chosen to go against the conventional wisdom and instead buy insurance for mainly smaller losses while self‐insuring larger ones. The BP decision came down to factors affecting the market supply of insurance as well as the corporate demand for it. On the demand side, the authors demonstrate that the primary source of demand for insurance by large public companies is not, as standard insurance textbooks assume, to transfer risk away from the corporation's owners. Because corporate stockholders and bondholders effectively manage the effects of such risks by diversifying their own portfolios, the corporate demand for insurance in BP's case stems from the insurers' comparative advantage in evaluating and monitoring BP's smaller risks and in processing claims. On the supply side, the authors explain why the capacity of insurance companies and markets to underwrite very large or highly specialized exposures—when compared to the industry expertise and financial resources of companies like BP—is quite limited, and likely to remain so. Since premiums would be experience‐rated and prior years' losses simply rolled into the following years' premiums, there would be no effective transfer of risk, and so no gain to BP from buying insurance.     

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.     

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.     

Was spricht eigentlich gegen eine private Arbeitslosenversicherung?

This article wants to base the current discussion about the privatization of unemployment insurance on a perspective of insurance economics. The arguments against private unemployment insurance are separated in two prospects: insurance technique and social policy. Therefore, the mixing of objective-technical and normative arguments, which is widely spread in the literature, is broken down. It is shown that the only criterion, which holds against private unemployment insurance, is that of “relative poorness”. Consequently, from a social policy perspective the monetary burden of actuarial premiums on people at high and medium risk is not acceptable. Arguments like positively correlated risks, moral hazard, insufficient differentiation of premiums and collectively underestimated individual unemployment risks appear to be poorly valid. As a solution of the problem of “relative poorness” a new outline for privatization of unemployment insurance is presented. The proposal focuses on a combination of private unemployment and pension insurance.     

参股保险业与企业流动性风险管理:基于货币政策变更背景

现阶段宏观经济政策不断变更给企业经营带来诸多不确定性,从而增加了流动性风险,而通过参股保险公司所建立的产融结合平台能使企业降低制度调整的风险成本。我们对此进行了实证分析,以2006年～2010年上市公司季度数据为样本,利用倾向概率配对模型控制样本内生性问题后实证检验发现:参股保险公司的上市公司日常现金持有水平和调整水平较未参股公司低,且在面对从紧货币政策时,这种流动性风险管理的提升效果更加突出。结论显示,上市公司与保险公司建立产融结合平台具有财务协同效应,部分抵消了货币政策变更不确定性的冲击。这一研究对于企业产融结合实践策略部署有着重要的现实意义,对保险行业引导产融结合趋势也有较强的实践参考价值。     

保险公司具有信息优势下的保险市场均衡问题研究

本文应用博弈论的方法,分析了当保险公司拥有信息优势时,在完全竞争、垄断经营和销售渠道垄断等不同竞争条件下的市场均衡状况,并通过航意险业务的实际发展过程说明从保险业长远发展角度看,应着力培养市场竞争环境,推动保险费率市场化,丰富保险销售渠道,提高投保人理性购买保险的意识,促使市场实现公平、有效的均衡。     

Nominal GDP Targeting with Heterogeneous Labor Supply

We study nominal gross domestic product (GDP) targeting as optimal monetary policy in a model with a credit market friction following Azariadis et al. (2018), henceforth ABSS. We extend the ABSS framework to allow for heterogeneous labor supply. We show that nominal GDP targeting continues to characterize optimal monetary policy in this setting. We also analyze the incomplete markets equilibrium that exists when the monetary policymaker pursues a suboptimal policy, and show how an extension to more general preferences can limit the ability of the policymaker to provide full insurance to households in this setting.     

Money,Bargaining, and Risk Sharing

We investigate the dual role of money as a self‐insurance device and a means of payment when perfect risk sharing is not possible, and when the two roles of money are disentangled. We use a variant of Lagos–Wright (2005) where agents face a risk in the centralized market (CM): in the decentralized market (DM) money’s main role is as a means of payment, while in the CM it is as a self‐insurance device. We show that state‐contingent inflation rates can improve agents’ ability to self‐insure in the CM, thereby improving the terms of trade in the DM. We then characterize the optimal monetary policy.     

和谐保险监管的成本与效益均衡研究

本文主要对和谐保险监管进行了研究分析,利用经济学中的成本与效益均衡分析方法,探讨了什么样的保险监管是和谐的,得到了监管均衡区作为监管均衡目标,最后提出了实现和谐保险监管的对策建议。     

German bond markets and US monetary policy

Low interest rates have been a major problem for the European life insurance industry. The implementation of Solvency II certainly has forced European life insurers to improve their risk management procedures and to buy long term bonds in order to handle the interest rate risk inherent to their liabilities. As a consequence, the industry meanwhile more or less seems to be able to cope with the problem of low interest rates. However, now the US central bank has started to hike rates. The Bank of Canada meanwhile has followed its southern neighbor. The changed monetary policy environment in North America might create new challenges for asset managers in the European life insurance industry. This paper provides some additional thoughts and empirical evidence about the linkages between US monetary policy and the European bond market employing techniques of time series analysis.     

Der Einfluss einer staatlichen Grundsicherung auf die Versicherungsnachfrage bei asymmetrischer Informationsverteilung

In this article, we develop a model framework in which the influence of a state assistance on insurance demand in an insurance market with imperfect information can be examined. It turned out that a state subsidy of very low level has no influence on the insurance demand at all. If the state assistance is adequately high, the individuals will prefer government assistance to market insurance. In case of adverse selection, a state assistance can have the consequence that the good risks decide not to buy any insurance while the bad risks purchase full insurance cover. The state assistance can therefore contribute to solve the problem of adverse selection. In case of moral hazard, a surprising result has been found out. The state assistance can bring the measures of loss minimizing to a standstill before the insurance can do it. The state subsidy amplifies the moral hazard behaviour and is therefore not a suitable instrument to solve problems with moral hazard.