寿险合同复效之立法变动及规范方向

保险合同的中止和复效是因人寿保险合同的保险费交付债务的特殊性而在保险法上的特别规定。其规定在强行性上属于半强性规范,是为保护危险团体成员的利益而设,保险人不能通过格式条款或其他方式予以排除适用,或作出较该规范更不利于危险团体成员利益的规定。为此,需要在立法上增加关于认知和判断半强性规范的效力性规定,同时,也需明确复效的具体条件,以消除保险人在实际上通过协商同意来操控处于效力停止状态的保险合同的命运,使危险团体成员的利益得以落实。     

Regression-based algorithms for life insurance contracts with surrender guarantees

We present a general framework for pricing life insurance contracts embedding a surrender option. The model allows for several sources of risk, such as uncertainty in mortality, interest rates and other financial factors. We describe and compare two numerical schemes based on the Least Squares Monte Carlo method, emphasizing underlying modeling assumptions and computational issues.     

Uniqueness of the fair premium for equity-linked life insurance contracts

An equity-linked life insurance contract combines an endowment life insurance and an investment strategy with a minimum guarantee. The benefit of this contract is determined by the guaranteed amount plus a bonus equal to a call on the portfolio. This bonus is similar to an Asian option. This article analyzes the relationship between the periodic insurance premium and its proportional share invested into the portfolio. For a general model of the financial risks we show the existence and uniqueness of an insurance premium. Furthermore the premium is strictly increasing and convex as a function of the share invested.     

The benefit of life insurance contracts with capped index participation when stock prices are subject to jump risk

We analyze the benefit to the insured of newly traded, innovative life insurance contracts. On a sequence of yearly reference days, the insured can choose between a guaranteed return (linked to the insurer’s asset result) and a capped index participation. The cap is adjusted at the beginning of each year such that both alternatives have the same value and the option to select is costless (product structuring condition). We point out that this condition cannot always be met. If the guaranteed return exceeds the upper bound of the capped index participation, the insurer can make a side profit. We show that a rather low insurance result also implies a rather low stock exposure, even if the insured opts for the index participation. Concerning the impact of the index dynamics, we emphasize that it is important to distinguish between jump and diffusion risk because the pricing of jump risk has an impact on cap rates that can be offered to an insured. Finally, we show that the optimal decision strategy of a CRRA investor implies an index selection even if it is unfairly priced such that the insurer indeed makes a side profit.     

Improved approximations for the aggregate claims distribution of a life insurance portfolio

Abstract

In an earlier paper the author derived a recursion formula which permits the exact computation of the aggregrate claims distribution in the individual life model. This exact procedure requires of course more computing time than approximative methods such as Kornya's algorithm, which seemed to be the best compromise between accuracy and computational effort. In the present paper it is shown that, to save time, the exact formula can be used in an approximative way and that the corresponding error bound is smaller than the one of the Kornya-type approximations.     

湖南保险代理公司业务转型趋势及风险探析

随着寿险业务经营理念的不断深入,加之资本市场运作的推动以及公司持续发展的需要,湖南的部分保险代理公司已经逐渐向代理寿险业务转型。尽管湖南寿险专业代理机构采取了精英模式、华康模式、泛华模式等不同的经营管理模式,但都呈现出资金实力相对比较强,分支机构建设力度较大,盈利周期普遍较长,合作模式和渠道单一,从业人员素质不高等共同特点。监管机构必须高度关注寿险专业代理机构发展过程中存在的风险,及时采取应对措施,以促进湖南保险业持续健康发展。     

Insurance contracts portfolios with heterogenous parametric life distributions

In this paper we consider two portfolios: one of m endowment insurance contracts and one of m whole life insurance contracts. We introduce the majorization order, Schur functions, and parametric families of distribution functions. We assume that the owners of the portfolios are exposed to different members of a known parametric family of distributions and study the effect of this stochastic heterogeneity on the premiums and death benefits of the insurance contracts. We show that the premiums paid in both contracts are Schur concave and that the death benefit awarded in the whole life contract is Schur convex. We provide upper and lower bounds for the premiums and for the death benefit, and compute the bounds for four parametric families of distribution functions used frequently in the Actuarial Sciences.     

Seasonal mortality for fractional ages in short term life insurance

Abstract

Fernández-Durán, and Gregorio-Domínguez, Seasonal Mortality for Fractional Ages in Life Insurance. Scandinavian Actuarial Journal. A uniform distribution of deaths between integral ages is a widely used assumption for estimating future-lifetimes; however, this assumption does not necessarily reflect the true distribution of deaths throughout the year. We propose the use of a seasonal mortality assumption for estimating the distribution of future-lifetimes between integral ages: this assumption accounts for the number of deaths that occurs in given months of the year, including the excess mortality that is observed in winter months. The impact of this seasonal mortality assumption on short-term life insurance premium calculations is then examined by applying the proposed assumption to Mexican mortality data.     

寿险营销的创新战略——数据库营销

客户是企业的生命,也是企业唯一诉求的目标.开拓新客户,服务老客户,培养长期的忠诚的客户群,这是企业的价值所在.目前,寿险营销的核心问题就是客户问题.以代理人为主体的行销过程中,存在着准客户积累不足、新客户开拓不足、老客户留存不足、忠诚客户沉淀不足的问题.本文提出了数据库营销的创新战略,从根本上解决了服务客户时的"找不到...     

Huntington's disease,critical illness insurance and life insurance

We describe briefly a model of Huntington's disease (HD), a highly penetrant, dominantly inherited, fatal neurological disorder. Although it is a single-gene disorder, mutations are variable in their effects, depending on the number of times that the CAG trinucleotide is repeated in a certain region of the HD gene. The model covers: (a) rates of onset, depending on CAG repeat length as well as age; (b) post-onset rates of mortality; and (c) the distribution of CAG repeat lengths in the population. Using these, we study the critical illness and life insurance markets. We calculate premiums based on genetic test results that disclose the CAG repeat length, or more simply on a family history of HD. These vary widely with age and policy term; some are exceptionally high, but in a large number of cases cover could be offered within normal underwriting limits. We then consider the possible costs of adverse selection, in terms of increased premiums, under various possible moratoria on the use of genetic information, including family history. These are uniformly very small, because of the rarity of HD, but do show that the costs would be much larger in relative terms if family history could not be used in underwriting. We point out some difficulties involved in applying a moratorium that recognises simply a dichotomy between ‘carriers’ and ‘non-carriers’ of any mutation in a gene when these mutations are, in fact, very variable in their effects. These complexities suggest that restrictions on the disclosure, rather than on the use, of genetic information, if it became established as a principle, could deprive insurers of information needed for risk management even if not used in underwriting.     

法院审理保险合同案件的两种解释方法比较

目前保险合同诉讼案件日趋增多,为探究当事人订立合同时的真正意图,不少法院采用了语境解释,当事人为证实自己的主张不断地举证,法院慎重地审查当事人提出的证据,但法院仍然存在错判的风险,而当事人诉讼成本的增加则是确定的。有时法院采用文本解释,即仅根据保险合同本身也能正确地判案,但诉讼成本大大降低。本文比较了这两种解释方法对法院判决保险合同案件准确性以及当事人花费诉讼成本的影响,指出文本解释优于语境解释。     

Cash flows and policyholder behaviour in the semi-Markov life insurance setup

Within the setup of a semi-Markov process in a finite state space, we consider a life insurance contract. First, without the modelling of policyholder behaviour, we show how to calculate the expected cash flow associated with future payments, and to that end we present a version of Kolmogorov’s forward integro-differential equation. The semi-Markov model is then extended to include modelling of surrender and free policy behaviour, and the main result is a modification of Kolmogorov’s forward integro-differential equation, such that the cash flow can be calculated without significantly more complexity than the cash flow without policyholder modelling. The result is also demonstrated for the traditional Markov case where there is no duration dependence, and numerical examples are studied.     

寿险公司内部控制问题探析

当今社会经济的日益繁荣及经济来往的多元化、复杂化,使寿险公司的经营面临着诸多风险,加强内部控制研究和实施就成为寿险公司亟待解决的一个问题。本文揭示了内部控制的涵义和本质,描述了寿险公司内部控制的特点和目前存在的问题,提出了加强寿险公司内部控制应采取的对策:强化内部控制在战略管理中的地位;寿险公司内部控制作为核心竞争力的培育;建立寿险公司内部控制标准;提升内部控制设计思路;加强内部控制的执行力等。     

基于产品组合视角我国寿险公司综合免疫策略研究

针对我国人寿保险公司的经营面临着日益加大的市场风险与死亡率风险．提出了一种同时规避死亡率风险与利率风险的综合免疫策略。假设寿险公司采取资产主导的资产负债管理模式,通过对寿险公司两类主要产品（死亡给付产品和生存给付产品）的组合比例调整,实现对死亡率风险和利率风险的双重免疫。为此首先建立寿险公司死亡率自然对冲模型,在此基础上将利率风险引入模型,进而构建起同时规避死亡率和利率风险的寿险公司综合免疫产品组合策略。     

Bond Immunization for Affine Term Structures

This paper generalizes a number of important immunization theorems. We show that the Fisher and Weil immunization, Bierwag and Khang minimax, Redington multiple liability, and Bierwag, Kaufman, and Toevs coverage theorems can be generalized to the class of affine term structures. This class of term structures contains many models that are commonly used in the finance literature.     

Pricing catastrophe risk in life (re)insurance

What is the catastrophe risk a life insurance company faces? What is the correct price of a catastrophe cover? During a review of the current standard model, due to Strickler, we found that this model has some serious shortcomings. We therefore present a new model for the pricing of catastrophe excess of loss cover (Cat XL). The new model for annual claim cost C is based on a compound Poisson process of catastrophe costs. To evaluate the distribution of the cost of each catastrophe, we use the Peaks Over Threshold model for the total number of lost lives in each catastrophe and the beta binomial model for the proportion of these corresponding to customers of the insurance company. To be able to estimate the parameters of the model, international and Swedish data were collected and compiled, listing accidents claiming at least twenty and four lives, respectively. Fitting the new model to data, we find the fit to be good. Finally we give the price of a Cat XL contract and perform a sensitivity analysis of how some of the parameters affect the expected value and standard deviation of the cost and thus the price.     

Dynamics of solvency risk in life insurance liabilities

We describe the time dynamics of the solvency level of life insurance contracts by representing the solvency level and the underlying risk sources as the solution of a forward–backward system. This leads to an additive decomposition of the total solvency level with respect to time and different risk sources. The decomposition turns out to be an intuitive tool to study risk sensitivities. We study the forward–backward system and discuss two methods to obtain explicit representations: via linear partial differential equations and via a Monte Carlo method based on Malliavin calculus.     

Competition,efficiency and soundness in European life insurance markets

This paper provides cross-country evidence on the association between soundness and competition in the life insurance industry, where competition is measured by the Boone indicator. We analyse 10 European Union (EU) life insurance markets over the post-deregulation period 1999–2011. The results indicate that competition increases the soundness of the EU life insurance markets. Since the Boone indicator measures competition based on the reallocation of profits from inefficient insurers to efficient ones, our results suggest that efficiency is the mechanism through which competition contributes to insurer solvency. The soundness-enhancing effect of competition is greater for weak insurers than for healthy ones.     

Firm life expectancy and the heterogeneity of the book-to-market effect

I argue that the reason the book-to-market effect is stronger in small stocks is because smaller stocks generally have shorter life expectancy and therefore shorter equity duration. I build a model in which the book-to-market effect is stronger in stocks with shorter life expectancy. Empirically, I use delisting probability as my proxy for life expectancy. The data support my model's central prediction and its additional implications for stock return and variance. My results provide a rational explanation for the heterogeneity of the book-to-market effect, evidence previously taken as support for behavioral explanations.