Methoden der risikobasierten Kapitalallokation im Versicherungs- und Finanzwesen

The present contribution is intended to serve as a survey of techniques of risk based capital allocation for (aggregated) insurance and/or financial positions. The starting point is the determination of the risk based capital for the aggregated position, which in turn requires the specification of the existing risk exposure and as well the risk measure used. After this the basic capital allocation procedures (absolute, incremental and marginal capital allocation) are explained. A discussion of postulates for a reasonable absolute capital allocation follows. Especially the axioms of coherent capital allocation developed by Denault are treated. Then central principles of capital allocation (proportional capital allocation, covariance principle, conditional expected value principle, conditional value-at-risk principle, Euler-principle) are introduced and their properties are discussed, especially regarding coherence. Finally firm value based approaches and as well game theoretic approaches are mentioned.     

Management von Terrorrisiken in Deutschland — eine empirische Analyse

In this article insurance is considered as a means for allocating terrorism risk. After September 11^th, 2001 several countries, among them Germany, Great Britain, and the United States, have intervened on the markets for terrorism insurance. In Germany a primary insurance company was founded by the government and private insurers to supply cover for this peril. Using a full dataset of the demand for terrorism insurance this paper provides an evaluation of the intervention on the market for terrorism insurance in Germany. The results derived are then used to suggest ways to improve the allocation of terrorism risk in Germany.     

科技保险问题研究

通过科技保险转移企业技术创新活动中面临的科技风险,对促进我国科技进步和经济发展有着重要意义。本文在调研的基础上,研究了国内外科技保险的理论研究和保险实践,描述了企业从事技术创新活动中科技风险的特点、国内科技保险的需求和供给,探讨了我国现行科技保险体系存在的问题并给出了改进建议。     

Recent Research Developments Affecting Nonlife Insurance—The CAS Risk Premium Project 2011 Update

This article summarizes the results of the 2011 Risk Premium Project (RPP) continual update. The aim of RPP is to review the actuarial and finance literature on the theory and empirics of risk assessment for property–casualty insurance. We find that behavioral insurance and new instruments of alternative risk transfer are popular fields of research in nonlife insurance. Capital allocation and enterprise risk management, too, are currently very important research topics. Moreover, the financial crisis has stimulated new work on corporate governance and insurance.     

The effect of regulation on optimal corporate pension risk

We study firms' pension prefunding and portfolio allocation choices in a model in which firms trade off the need to compensate workers for the financial risk in their pension benefit against the cost advantage that may be gained by exploiting underpriced pension insurance. In the absence of pension insurance, the firm minimizes costs by rendering promised benefits free of risk to workers, who are assumed to be unable to hedge firm-specific risk. Various forms of government intervention, such as benefit guarantees, can alter this outcome dramatically by providing the firm with an incentive to shift risk to other parties. In this case, we find that the firm's decisions depend on, among other influences, the degree of insurance mispricing, the amount of guaranteed benefits, the stringency of minimum funding requirements, and the costs of financial distress.     

基于拓扑数据模型的车险操作风险度量

以机动车辆保险为研究对象,分析车险核心业务流程中操作风险的表现形式,借助拓扑数据模型及Monte Carlo模拟对其风险进行度量。结果显示:损失强度表现出较强的厚尾性,事件频率具有高频性,但总损失额分布的厚尾特征不明显,这些结果为操作风险进行经济资本配置及管理提供了依据。     

Perspectives of Risk Sharing

In this paper we present an overview of the standard risk sharing model of insurance. We discuss and characterize a competitive equilibrium, Pareto optimality, and representative agent pricing, including its implications for insurance premiums. We only touch upon the existence problem of a competitive equilibrium, primarily by presenting several examples. Risk tolerance and aggregation is the subject of one section. Risk adjustment of the probability measure is one topic, as well as the insurance version of the capital asset pricing model. The competitive paradigm may be a little demanding in practice, so we alternatively present a game theoretic view of risk sharing, where solutions end up in the core. Properly interpreted, this may give rise to a range of prices of each risk, often visualized in practice by an ask price and a bid price. The nice aspect of this is that these price ranges can be explained by "first principles", not relying on transaction costs or other frictions. We also include a short discussion of moral hazard in risk sharing between an insurer and a prospective insurance buyer. We end the paper by indicating the implications of our results for a pure stock market. In particular we find it advantageous to discuss the concepts of incomplete markets in this general setting, where it is possible to use results for closed, convex subspaces of an L 2 -space to discuss optimal risk allocation problems in incomplete financial markets.     

寿险资金运用的风险限额管理

资金运用风险是寿险公司面临的两大最主要风险之一,加强资金运用风险管理对确保寿险公司持续稳健经营至关重要。风险限额管理作为风险管理的核心内容,是风险管理体系中不可或缺的组成部分。建立一个科学、可操作和有效的风险限额管理体系,为寿险资金运用风险管理提供控制标准,是决定风险管理成效的关键环节。本文借鉴风险限额分配模型,总结寿...     

Produktgarantien und Aktienkrise — Implikationen für die Kapitalanlagepolitik von Lebensversicherungsunternehmen

The present contribution analyzes the implications of two central factors influencing the asset allocation decision of (German) life insurance companies, the development of the equity market on one hand and the interest rate guarantees included in traditional life insurance products on the other. The adverse development of share prices in 2000–2002 implies the necessity to consider not only ?normal“ volatility but also worst case-developments for the purpose of risk control. Formally this is done by using the risk measures value-at-risk and conditional value-at-risk. The specific ?myopic“ nature of interest rate guarantees in German life insurance products, which are granted on a yearly basis implies — beyond the general control of the shortfall risk with respect to the guaranteed interest rates — the necessity to per-form the asset allocation on a yearly basis to be in conformity with the time horizon of the liabilities.On the basis of a quantitative approach corresponding model calculations are performed. Thereby not only a pure market valuation is considered but also institutional peculiarities (hidden reserves, accounting norms) of German life insurance companies. The possibility of a riskless one-year investment, either based on market values or on balance sheet values, is revealed to be crucial for giving interest rate guarantees on a yearly basis.     

基于Copula函数的保险公司经济资本配置研究

经济资本的度量及配置是风险管理的核心内容。本文利用Copula函数构建保险公司总体风险的联合分布函数,结合TCE方法来度量保险公司经济资本,并利用动态规划方法对经济资本最优配置模型求解。最后结合中国人民财产保险股份有限公司的数据进行实证。通过研究发现,我国财险公司内部偿付能力状况较好,但险种结构有待优化。     

Capital Allocation for Insurance Companies—What Good IS IT?

In their 2001 Journal of Risk and Insurance article, Stewart C. Myers and James A. Read Jr. propose to use a specific capital allocation method for pricing insurance contracts. We show that in their model framework no capital allocation to lines of business is needed for pricing insurance contracts. In the case of having to cover frictional costs, the suggested allocation method may even lead to inappropriate insurance prices. Beside the purpose of pricing insurance contracts, capital allocation methods proposed in the literature and used in insurance practice are typically intended to help derive capital budgeting decisions in insurance companies, such as expanding or contracting lines of business. We also show that net present value analyses provide better capital budgeting decisions than capital allocation in general.     

保险系统性风险的风险溯源与监管创新

近年来,保险系统性风险与宏观审慎监管问题逐渐受到世界各国重视。目前我国的保险监管制度虽已逐渐将保险系统性风险纳入监管范围,但现有的监管措施过于简陋,难以有效防范、化解系统性风险。为此,在厘清保险系统性风险内生性根源与制度性根源基础上,反思我国保险系统性风险既有监管规则之不足,认为我国保险系统性风险监管的应然诉求是建立金融机构协调合作机制的法制化路径、提高保险宏观审慎监管相关立法、将现代科技手段运用与保险宏观审慎监管实践相结合。     

Die ökonomische Funktion von Haftungsregeln bei Risikoaversion und Haftpflichtversicherungsmöglichkeiten

Most of the literature on the economic analysis of liability law reduces the economic importance of liability regulations to their prevention or incentive function. This is due to the premise of risk neutral decision behavior or to the assumption of ?costless“ insurance that is very often used in this context. In this paper the case of risk neutrality is discussed briefly. Then the relevance of risk aversion is explained, and results are presented from an analysis which integrates risk averse behavior and employs a more adequate modeling of the insurance supply, such that the risk allocation function of liability rules is given emphasis in addition to the aspect of loss prevention. An important result is that for large numbers of potential victims an ideal solution can be approximated by a negligence rule. This insight is particularly interesting in light of the fact that liability risks which are characterized by large numbers of victims usually are regulated by strict liability.     

巨灾保险市场风险识别模式的有效性分析——基于多期的巨灾保险合同研究

在市场化的巨灾保险机制运行过程中,信息不对称所引发的风险识别问题容易导致巨灾保险合同偏离最优均衡状况进而诱发市场失灵,因此,合理有效的识别投保人的风险类型显得尤为重要。在以信息经济学中的逆向选择与信号传递理论为基础,利用不完全动态信息博弈模型对巨灾保险中的风险识别模式进行研究后的结果表明,后验风险识别模式同样可以有效甄别投保人的风险状况,风险分离均衡后的巨灾保单可以在多期的合同中达到精练贝叶斯均衡。     

To Hedge or Not to Hedge: Managing Demographic Risk in Life Insurance Companies

Demographic risk, i.e., the risk that life tables change in a nondeterministic way, is a serious threat to the financial stability of an insurance company having underwritten life insurance and annuity business. The inverse influence of changes in mortality laws on the market value of life insurance and annuity liabilities creates natural hedging opportunities. Within a realistically calibrated shareholder value (SHV) maximization framework, we analyze the implications of demographic risk on the optimal risk management mix (equity capital, asset allocation, and product policy) for a limited liability insurance company operating in a market with insolvency‐averse insurance buyers. Our results show that the utilization of natural hedging is optimal only if equity is scarce. Otherwise, hedging can even destroy SHV. A sensitivity analysis shows that a misspecification of demographic risk has severe consequences for both the insurer and the insured. This result highlights the importance of further research in the field of demographic risk.     

财产保险的保险价值界定探析——解读新《保险法》第55条

保险价值在财产保险中占有核心地位,是确定赔付比例和赔偿限额的标准。在实务和媒体报道中,财产保险索赔争议案例多与对保险价值的不同理解有关。本文将通过案例分析保险法和保险条款对保险价值界定中存在的问题,并对保险价值相关立法和司法解释的进一步完善提出合理建议。     

江苏农村小额人身保险的调查——基于资源配置角度

农村小额人身保险已在全国多个省份进行试点,并取得了阶段性成果。文章从资源配置角度总结出江苏农村小额人身保险开展的可行性因素以及可能存在的风险,并针对江苏保险业实际情况和目前的经济大环境提出一些可行的对策,推动小额保险项目的创新与可持续发展。     

A stochastic differential game for optimal investment of an insurer with regime switching

We introduce a model to discuss an optimal investment problem of an insurance company using a game theoretic approach. The model is general enough to include economic risk, financial risk, insurance risk, and model risk. The insurance company invests its surplus in a bond and a stock index. The interest rate of the bond is stochastic and depends on the state of an economy described by a continuous-time, finite-state, Markov chain. The stock index dynamics are governed by a Markov, regime-switching, geometric Brownian motion modulated by the chain. The company receives premiums and pays aggregate claims. Here the aggregate insurance claims process is modeled by either a Markov, regime-switching, random measure or a Markov, regime-switching, diffusion process modulated by the chain. We adopt a robust approach to model risk, or uncertainty, and generate a family of probability measures using a general approach for a measure change to incorporate model risk. In particular, we adopt a Girsanov transform for the regime-switching Markov chain to incorporate model risk in modeling economic risk by the Markov chain. The goal of the insurance company is to select an optimal investment strategy so as to maximize either the expected exponential utility of terminal wealth or the survival probability of the company in the ‘worst-case’ scenario. We formulate the optimal investment problems as two-player, zero-sum, stochastic differential games between the insurance company and the market. Verification theorems for the HJB solutions to the optimal investment problems are provided and explicit solutions for optimal strategies are obtained in some particular cases.     

中国寿险市场存在逆向选择吗?——来自CHARLS数据的经验证据

我国寿险市场是否存在逆向选择问题,在理论和实证两个方面缺乏细致的讨论。本文利用CHARLS数据和正相关理论检验了我国定期寿险和终身寿险市场中的逆向选择问题。我们选取了死亡率这一远期指标和健康状况这一近期指标来衡量消费者的死亡风险,从广延边际和集约边际两个方面利用正相关理论进行了深入的研究。实证结论表明,以死亡率和健康状况衡量的死亡风险与寿险消费负相关或者不相关,即我国寿险市场并不存在逆向选择问题。然后,我们讨论了模型的内生性问题,并根据年龄变量检验了结论的稳健性,实证结果表明我们的结论是稳健的。最后,本文利用双变量Probit模型设计了一个机制,并利用该机制验证了利他动机是我国寿险市场不存在逆向选择的原因之一。     

保险资金参与地方保障房建设制度设计的探讨——以浙江省保障性住房建设为例

保障房建设所具有的低风险和收益稳定的特点,符合当前保险资金资产负债配置的需要。保险资金介入地方保障房建设有助于降低保险资金投资收益对资本市场的依赖程度,规避因资本市场的波动所带来的风险。出于对投保人利益以及保险资金安全的考虑,监管机构应加强对保险公司投资保障性住房的引导和规整。保险公司应建立健全保险资金投资保障房建设的风险管理机制,加强保险公司介入保障房建设融资资金的退出机制构建。