科技保险基金风险管理与投资策略研究展望

在介绍科技保险与再保险研究情况的基础上,探讨如何针对科技保险的风险机制和保险特征研究科技保险基金的风险管理与投资策略问题。在综述相关研究现状与趋势后认为,可从以下方面展开：建立风险资产模型,构造一个新型风险函数,研究最优再保险策略与各参数之间的关系以及最优分红策略,并研究风险资产模型对破产概率和确定时刻预期累计收益的影响;研究再保险方式对破产概率和确定时刻预期累计收益的影响;研究不同效用函数对不同确定时刻预期累计收益的影响,并引入不同风险测度方法,研究在不同情形下如何选择最优风险测度准则;考虑再保险双方,设计一种新的保险机制;建立试点平台,采集大量经验概率,并以此为基础建立科技保险的费率厘定模型,进而形成一套方法体系。     

Optimal Controls for a Large Insurance Under a CEV Model: Based on the Legendre Transform-Dual Method

The purpose of this paper is to consider the optimal proportional reinsurance and investment strategies for an insurance company. The insurer’s surplus process is approximated by a Brownian motion with drift. The insurance company can purchase proportional reinsurance and invest the surplus in a financial market which includes one risk-free asset and one risky asset whose price is modeled by a CEV model. The primary problem is changed to the dual problem by implying Legendre transform. When the objective of the insurance company is to maximize the expected logarithmic utility from terminal wealth, the closed-form expressions for the optimal reinsurance-investment policy which is different to the Merton case to the primal optimal problem are obtained and numerical simulations are provided to demonstrate our results. Moreover, we find an interesting result that risk exposure is non-monotonic in the cost of reinsurance.

     

Optimal reinsurance and dividend for a diffusion model with capital injection: Variance premium principle

This paper considers the optimal dividend problem with proportional reinsurance and capital injection for a large insurance portfolio. In particular, the reinsurance premium is assumed to be calculated via the variance principle instead of the expected value principle. Our objective is to maximize the expectation of the discounted dividend payments minus the discounted costs of capital injection. This optimization problem is studied in four cases depending on whether capital injection is allowed and whether there exist restrictions on dividend policies. In all cases, closed-form expressions for the value function and optimal dividend and reinsurance policies are obtained. From the results, we see that the optimal dividend distribution policy is of threshold type with a constant barrier, and that the optimal ceded proportion of risk exponentially decreases with the initial surplus and remains constant when the initial surplus exceeds the dividend barrier. Furthermore, we show that the optimization problem without capital injection is the limiting case of the one with capital injection when the proportional transaction cost goes to infinity.     

The effect of ceded reinsurance on solvency of primary insurers

Primary insurance companies diversify their underwriting risk and thus improve their financial stability through buying reinsurance contracts. However, excessive use of reinsurance by an insurance company may signal the presence of financial difficulties. In fact, as research shows, a less solvent insurer tends to use more reinsurance because of its inability to raise needed capital in the financial market. Thus, regulators need to pay extra attention to insurers that overly use reinsurance since such behavior could signal an insurer's disproportionately high risk and its eventual probability of insolvency.     

On optimal reinsurance,dividend and reinvestment strategies

We investigate an optimal reinsurance and dividend problem of an insurance company with the presence of reinvestments, or retained earnings. We consider the general situation that the company needs to pay both fixed and proportional costs. The object of the company is to determine reinsurance, dividend and reinvestment strategies so as to maximize the difference between the expected discounted dividends minus the expected discounted reinvestment until the time of ruin. We focus on the excess-of-loss reinsurance strategy, which is shown to be optimal. The mixed classical-impulse control is then used to discuss the problem. Using inventory control theory, the value function and optimal strategy are derived.     

财险公司防范利率风险的策略研究

财险公司在防范利率风险时，需要采用对利率变动反应灵敏的策略。大多数的研究都不太重视这个问题，认为财险公司可以通过再保险安排来解决利率风险问题。本文利用期望效用理论证明了财险公司不能依靠再保险来防范利率风险。而后．通过一个算例直观地说明了利率变动与财险公司保费策略之问的关系．并结合我国的保险实践提出了解决方案。     

Optimal risk and dividend control problem with fixed costs and salvage value: Variance premium principle

In this paper we study the combined optimal dividend, capital injection and reinsurance problems in a dynamic setting. The reinsurance premium is assumed to be calculated via the variance principle instead of the expected value principle. The proportional and fixed transaction costs and the salvage value at bankruptcy are included in the model. In both cases of unrestricted dividend rate and restricted dividend rate, we obtain the closed-form solutions of the value function and the optimal joint strategies, which depend on the transaction costs and the profitability in future.     

On the optimal design of insurance contracts with the restriction of equity risk

This paper focuses on the optimal design of insurance contracts with the restriction of equity risk by Arrow's optimal insurance model [2] and Zhou's optimal insurance model [4]. The insured aims to maximize his/her expected utility of terminal wealth, under the constraint that the insurer wishes to control his/her risk. We establish an optimal insurance model that restrains underwriting risk and investment risk simultaneously. We solve this problem and obtain the results which improve and extend the results given by Arrow [2] and Zhou [4].     

基于条件价值评估法的中国巨灾风险保险模式定量设计——基于网络问卷调查的实证研究

巨灾风险损失经验数据的缺乏使得保险人设计合理的巨灾风险保险模式存在较大困难。基于巨灾风险保险的准公共物品性质,通过网络问卷调查,运用条件价值评估法,从消费者意愿角度对中国巨灾风险保险模式的主要项目进行定量设计,可以克服非寿险常规费率厘定方法的缺陷,对纠正巨灾风险保险市场失灵亦有积极意义。     

Estimates for the optimal control policy in the presence of regulations and heavy tails

We consider a classical heavy tailed risk model, included in a regulation mechanism. The regulator exercises a minimal cash requirement level and penalties for violating it to regulate the insurance firm. The problem of the insurance firm is to establish an investment and risk exposure policy as well as a barrier dividend strategy, which is a function of the strategy used by the regulator. For regularly varying tailed claim size distributions, we find the asymptotics of the stationary distribution of the risk model and derive fundamental asymptotic results of the insurance firm's problem. In the special case of Pareto claim size distributions, the asymptotic optimal control policy is found in closed form, as well as numerical results.     

保险公司不动产最优投资策略研究*

本文研究了保险公司投资不动产时的最优投资策略问题。本文假设保险公司的风险过程为经典Cramer Lundeberg模型。保险公司可把资金投资于现金市场和两个风险市场，分别为债券、股票和不动产。在卖空、借贷限制下，基于均值—方差模型，应用辅助随机二次线性问题求解方法，得到最优投资策略和有效边界。研究结果显示，不动产最优投资量不仅与初始资本金存在非简单线性关系，还与不动产的市场溢价水平、未预期冲击存在一系列复杂关系。     

Life insurer efficiency and state regulation: evidence of optimal firm behavior

Proponents of an optional federal charter for life insurers argue that the current state-based system of insurer regulation increases insurer costs and reduces their revenues and profits. This study examines the impact of multi-state regulation on life insurer cost, revenue and profit efficiency. The main findings suggest that insurer cost efficiency is inversely related to the number of states licensed and directly related to total assets, after controlling for geographic concentration, insolvency risk and other firm-specific characteristics. Further, the results support the expectation that insurer expansion into additional states is optimal in that the additional regulatory and other costs associated with operating in more states are offset by higher revenues to the extent that insurer profit efficiency is not affected. A robustness test is conducted using an indicator variable for New York licensed insurers to examine the relation between regulatory stringency and insurer efficiency. This test confirms the results, even in the presence of the more stringent regulation of New York. These findings are consistent with the expectation that any regulatory cost savings that result from an optional federal charter, or single regulator, will be passed along to insurance consumers in a competitive insurance market.     

Broker monitoring of premium adequacy: the role of contingent commissions

Contingent commissions, which are payments made by an insurer to brokers based on the volume and profitability of insurance placed with the insurer, have been criticized as damaging to the relationship between the insured and its broker. The argument is made that contingent commission payments encourage brokers to select insurers for their clients based on the potential to earn contingent commissions, rather than on the needs of the insured. We argue that contingent commission payments, which while directly paid by the insurer are ultimately paid by the insured through higher premiums, are beneficial to insureds because they provide an incentive for the broker to place their coverage with an insurer that is charging an adequate premium. We contend that although inadequate premiums are perhaps good for the insured in the short term, in the longer term, inadequate premiums will result in price hikes or coverage restrictions that are harmful to the insureds. Our empirical analysis demonstrates that insurers who pay contingent commissions experience less price fluctuation over the underwriting cycle than insurers who do not pay contingent commissions in the US property and casualty insurance industry.     

Implications for unisex statutes and risk-pooling: The costs of gender and underwriting attributes in the automobile insurance market

In this paper, we explore the effects of gender and other demographic features and benefit provisions on insurance premiums using individual data from a property and liability insurer domiciled in Georgia for three types of automobile insurance coverages: collision insurance, comprehensive insurance, and liability insurance. We report the implicit prices of individual and automobile underwriting attributes and find that the effect of gender on the insurance premium for each of our coverage types is significant but has a lower absolute effect than other underwriting attributes, raising questions about the regulatory impact of unisex statutes. Finally, we examine three alternatives open to the regulator who must mandate and monitor insurance pricing under a unisex statute.     

On the Design of Optimal Insurance Policies Under Manipulation of Audit Cost

This article characterizes optimal insurance policies under deterministic auditing in a situation where the policyholders can misrepresent their losses. Under exogenous audit cost, a straight deductible is optimal when the policyholders can inflate their claims by intentionally increasing the damages. If policyholders can manipulate the audit cost and the insurer is unable to observe the cost incurred by his or her auditor, then the auditor should receive contingent fees. When the auditor is risk-averse, the optimal insurance policy involves some degree of coinsurance. An upper limit on coverage is optimal when the auditor is infinitely risk-averse.     

基于PPP模式的海洋灾害保险合作模式分析

基于我国灾害救助以政府为主、商业性模式开发不足，且海洋灾害风险管理实践发展相对落后的现实，以PPP模式为雏形的灾害保险不失为一种有益的尝试。针对海洋灾害保险存在的信息不对称与主体地位不对等问题，在引入再保险机构、构建新的不对称PPP参与模式基础上，运用灰博弈模型对各主体参与的动态博弈过程及稳定策略进行分析，利用原保险与再保险双维灰博弈矩阵，求得各参数情形下的稳定策略，并对各情形下的稳定策略实现路径进行具体解析，为海洋灾害保险合作模式的达成提供进一步的决策参考     

Efficient Transfer of Aging Provisions in Private Health Insurance

In German-style private health insurance contracts, aging provisions are used to flatten premium profiles. An individual would like to change insurer if she perceives a low service quality. The first-best optimum is characterized by provision transfers upon insurer changes which are higher for high risks and may be negative for low risks. Should the actual risk status not be verifiable, provision transfers have to be uniform. Efficient transfers will equalize consumption across periods and states if high risks are deterred from switching. Otherwise, the optimum transfer balances the distortion of incentives for high-risk and low-risk individuals.     

Estimating bivariate yield distributions and crop insurance premiums using nonparametric methods

Modelling crop yield distribution is crucial in crop insurance premium setting. The correlation between different crop yields due to rotations or systemic risks requires estimation of joint yield distribution for multiple crops. In this article, we apply a nonparametric method to estimate bivariate yield distributions using farm-level yield data of wheat and corn in Shandong Province in China. Then, the simulated yields are used to evaluate the expected indemnity of one traditional and one hypothetical crop insurance programme. Our results reveal that the nonparametric bivariate method is very flexible in shaping the yield probability density functions to estimate local idiosyncrasies and correlation between two crops. It is also feasible to simulate the nonparametric yield distributions at a satisfying level of accuracy. The simulation results show that the hypothetical two-crop insurance contract can be more affordable to farmers than traditional individual crop insurance contracts.     

Transferable Ageing Provisions in Individual Health Insurance Contracts

Abstract. We consider lifetime health insurance contracts in which ageing provisions are used to smooth the premium profile. The capital stock accumulated for each individual can be decomposed into two parts: a premium insurance and an annuitized life insurance, only the latter being transferable between insurers without triggering premium changes through risk segmentation. In a simulation based on German data, the transferable share declines in age and falls with an increasing age of entry into the contract. In spite of different benefit profiles, it is almost identical for women and men.     

Pareto optimal chains of reinsurance

Extending Arrow (1963), we show that coinsurance is the optimal insurance scheme if all companies belonging to a chain of reinsurance are risk averse. The extent to which Borch's (1960) theorem and corollary are still valid in this context is investigated.