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1.
购买再保险是保险公司进行风险管理和风险控制的重要手段,其中确定最优分保额度是保险公司确定再保险的核心。本文通过建立最优再保保费——自留风险优化模型,研究了保险公司最优止损再保险策略问题,借助共单调理论得到了最优自留风险额度应该满足的方程以及该方程模拟求解的步骤,并选取了2002年至2014年人保财险公司的历史数据进行实证研究。通过实证研究发现,当置信水平为5%时测算得到的分出比例为3815%,当置信水平为10%时测算得到的分出比例为3635%;具体到不同业务线,货物运输险的分出比例最高,责任险和企业财产险的分出比例次之,机动车辆险的分出比例最低。 相似文献
2.
文章首先介绍了非比例再保险的概念及其运作,然后在具体分析影响保险公司资本结构和规模的内外资因素的基础上,推出了如何运用非比例再保险以转移风险、降低资本规模需求以及合理避税的角度达到优化保险公司资本结构的目的。 相似文献
3.
基于随机微分博弈的保险公司最优决策模型 总被引：5，自引：0，他引：5
本文研究了基于保险公司与自然之间二人-零和随机微分博弈的最优投资及再保险问题。假设保险公司具有指数效用,自然是博弈的虚拟对手,通过求解最优控制问题对应的HJB I方程,得到了保险公司的最优投资和再保险策略以及最优值函数的闭式解。结果显示,在完全分保时(即自留比例为零),保险公司应该将全部财富购买无风险资产,即风险资产投资额为零;在不完全分保时保险公司将卖空风险资产,且卖空数量及保险自留比例都随保险公司盈余过程与风险资产间的相关性的提高而增大,随终止时刻T的临近而增加,但随市场中无风险资产回报率的增加而减少。 相似文献
4.
随着人身保险业务的不断发展,寿险公司面临非正常死亡风险、长寿风险、利差风险和特别承保风险.人身险再保险是寿险公司转移风险、防止责任累积过大的风险管理工具之一,主要分为比例再保险、非比例再保险和财务再保险三种类型.寿险公司应通过科学确定自留额、选择合适的分保方式、谨慎采用财务再保险来安排人身险分保. 相似文献
5.
保监会在2007年6月19日发布的《中国再保险市场发展规划》中指出,要“巩固和扩大传统再保险业务,充分发展传统再保险服务功能,满足市场基本的再保险需求。”根据分出人和接受人责任划分的不同,传统再保险划分为比例再保险和非比例再保。长期以来,我国再保险市场以比例再保险为主, 相似文献
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7.
文章通过最优化保险人的风险调整资本收益率,得到最优的再保险策略。分析成数再保险时,得到结论为:风险全部自留可以使保险人的风险调整资本收益率最大化;分析停止损失再保险时,得到的结论为:存在一个最优的自留额使得保险人的风险调整资本收益率最大。 相似文献
8.
文章通过最优化保险人的风险调整资本收益率,得到最优的再保险策略。分析成数再保险时,得到结论为:风险全部自留可以使保险人的风险调整资本收益率最大化;分析停止损失再保险时,得到的结论为:存在一个最优的自留额使得保险人的风险调整资本收益率最大。 相似文献
9.
最优再保险的两类定价模型 总被引：4，自引：0，他引：4
针对停止损失再保险(stop loss reinsurance),分别运用均值一方差(mean-variance)保费定价原理及效用理论(utility theory),在再保险人总索赔额的基础之上推导出最优再保险(optimal reinsurance)的保费定价模型。 相似文献
10.
阳波 《江西金融职工大学学报》2007,(1):31-32
使投保人、原保险人、再保险人三者达到帕累托最优状态的再保险合同的设计,基本模型是保持投保人与再保险人的效用水平不变,寻求最优再保险合同使原保险人的效用达到最大。在原保费与再保险费固定的条件下,最优再保险合同要么是有再保限额的合同,要么是存在自留额的合同。在保费变动的条件下,帕累托最优再保险合同必须具备两个特征:其一是有再保限额的合同不是最优的,其二是当再保险成本取决于再保险赔付时才会有一个自留额。再保险合同的存在不会影响原保险合同的最优设计。基于年度损失的赔付率超赔再保险具有帕累托最优性。 相似文献
11.
AbstractIn this paper, we consider the optimal proportional reinsurance problem in a risk model with the thinning-dependence structure, and the criterion is to minimize the probability that the value of the surplus process drops below some fixed proportion of its maximum value to date which is known as the probability of drawdown. The thinning dependence assumes that stochastic sources related to claim occurrence are classified into different groups, and that each group may cause a claim in each insurance class with a certain probability. By the technique of stochastic control theory and the corresponding Hamilton–Jacobi–Bellman equation, the optimal reinsurance strategy and the corresponding minimum probability of drawdown are derived not only for the expected value principle but also for the variance premium principle. Finally, some numerical examples are presented to show the impact of model parameters on the optimal results. 相似文献
12.
Ninna Reitzel Jensen 《Scandinavian actuarial journal》2019,2019(3):204-227
In this paper, we generalize recursive utility to include lifetime uncertainty and utility from bequest. The generalization applies to discrete-time as well as continuous-time recursive utility, and it is an important step forward in the development of recursive utility. We formalize the problem of optimal consumption, investment, and life insurance choice under recursive utility, and we state a verification theorem with a generalized Hamilton-Jacobi-Bellman equation. Our generalization of recursive utility allows us to study optimal consumption, investment, and life insurance choice under separation of (market) risk aversion, elasticity of inter-temporal substitution, and elasticity of substitution between bequest and future utility. The separation gives rise to hump-shaped consumption patterns as observed in realized consumption. 相似文献
13.
A.Y. Golubin 《Scandinavian actuarial journal》2016,2016(3):181-197
The paper studies the so-called individual risk model where both a policy of per-claim insurance and a policy of reinsurance are chosen jointly by the insurer in order to maximize his/her expected utility. The insurance and reinsurance premiums are defined by the expected value principle. The problem is solved under additional constraints on the reinsurer’s risk and the residual risk of the insured. It is shown that the solution to the problem is the following: The optimal reinsurance is a modification of stop-loss reinsurance policy, so-called stop-loss reinsurance with an upper limit; the optimal insurer’s indemnity is a combination of stop-loss- and deductible policies. The results are illustrated by a numerical example for the case of exponential utility function. The effects of changing model parameters on optimal insurance and reinsurance policies are considered. 相似文献
14.
Proportional reinsurance is often thought to be a very simple method of covering the portfolio of an insurer. Theoreticians are not really interested in analysing the optimality properties of these types of reinsurance covers. In this paper, we will use a real-life insurance portfolio in order to compare four proportional structures: quota share reinsurance, variable quota share reinsurance, surplus reinsurance and surplus reinsurance with a table of lines. 相似文献
15.
The main tools and concepts of financial and actuarial theory are designed to handle standard, or even small risks. The aim of this paper is to reconsider some selected financial problems, in a setup including infrequent extreme risks. We first consider investors maximizing the expected utility function of their future wealth, and we establish the necessary and sufficient conditions on the utility function to ensure the existence of a non degenerate demand for assets with extreme risks. This new class of utility functions, called LIRA, does not contain the classical HARA and CARA utility functions, which are not adequate in this framework. Then we discuss the corresponding asset supply-demand equilibrium model. 相似文献
16.
Spectral risk measures (SRMs) are risk measures that take account of user risk-aversion, but to date there has been little
guidance on the choice of utility function underlying them. This paper addresses this issue by examining alternative approaches
based on exponential and power utility functions. A number of problems are identified with both types of spectral risk measure.
The general lesson is that users of spectral risk measures must be careful to select utility functions that fit the features
of the particular problems they are dealing with, and should be especially careful when using power SRMs.
相似文献
| Ghulam SorwarEmail: |
17.
The Vanilla Passport Option is an insurance against trading loss. In this paper, we add various exotic features to the Vanilla contract and price the resulting financial products. The assumptions that we make are the same as the Black-Scholes ones and the resulting pricing equations are Hamilton-Jacobi-Bellman type equations or parabolic free boundary PDE's which can be solved via finite difference methods. 相似文献
18.
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. 相似文献
19.
Duni Hu 《Scandinavian actuarial journal》2013,2013(9):752-767
ABSTRACTEmpirical studies suggest that many insurance companies recontract with their clients on premiums by extrapolating past losses: a client is offered a decrease in premium if the monetary amounts of his claims do not exceed some prespecified quantities, otherwise, an increase in premium. In this paper, we formulate the empirical studies and investigate optimal reinsurance problems of a risk-averse insurer by introducing a loss-dependent premium principle, which uses a weighted average of history losses and the expectation of future losses to replace the expectation in the expected premium principle. This premium principle satisfies the bonus-malus and smoothes the insurer's wealth. Explicit expressions for the optimal reinsurance strategies and value functions are derived. If the reinsurer applies the loss-dependent premium principle to continuously adjust his premium, we show that the insurer always needs less reinsurance when he also adopts this premium principle than when he adopts the expected premium principle. 相似文献
20.
In this paper, we consider the optimal proportional reinsurance strategy in a risk model with two dependent classes of insurance business, where the two claim number processes are correlated through a common shock component. Under the criterion of maximizing the expected exponential utility with the variance premium principle, we adopt a nonstandard approach to examining the existence and uniqueness of the optimal reinsurance strategy. Using the technique of stochastic control theory, closed-form expressions for the optimal strategy and the value function are derived for the compound Poisson risk model as well as for the Brownian motion risk model. From the numerical examples, we see that the optimal results for the compound Poisson risk model are very different from those for the diffusion model. The former depends not only on the safety loading, time, and the interest rate, but also on the claim size distributions and the claim number processes, while the latter depends only on the safety loading, time, and the interest rate. 相似文献