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再保险
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  reinsurance
Optimal reinsurance under expected value principle
      
The paper concerns the problem how to purchase the reinsurance in order to make the insurer and the reinsurance company's total risk to be least under the expected value principle.
      
When the insurer and reinsurance company take arbitrary risk measures, sufficient conditions for optimality of reinsurance contract are given within the restricted class of admissible contracts.
      
Further, the explicit forms of optimal reinsurance contract under several special risk measures are given, and the method to decide parameters as well.
      
On ruin probability minimization under excess reinsurance
      
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This paper gives the sufficient - necessary conditions which the optimal reinsurance strategy should suggest, analysis the form of a strategy, and discusses three price mechanism to obtain the corresponding determinate strategy.

本文建立了最优再保险策略所应满足的充要条件,分析了一类最优再保险策略的形式,确定了三种不同价格机制下的最优再保险策略.

On the basis of a proportional reinsurance model with dividend process, we introduce a borrowing process into the state process, making up a new one that includes two processes. By using the optimal control policy of stochastic analysis, we obtain its optimal control polices and the corresponding maximal return functions for different parameters.

在一类带分红过程比例再保险模型的基础上,把借贷过程这一因素考虑进去,构造了一新的包括分红过程和借贷过程的比例再保险模型.利用随机分析中的最优控制理论,通过数学分析,针对不同的参数得出了不同情形下最优控制策略及相应的最大回报函数.

In this paper, two classes of risk order, i.e., stochastic dominance order and dual stochastic dominance order,are analogically analysed and got three descriptions about the characteristic of order as following:(1) utility-free order equivalent to stochastic dominance order; (2) distortion-free order equivalent to dual stochastic dominance order; (3) the first and second stochastic dominance order equivalent to that of dual stochastic dominance order, but it is not true for higher order than the third. At last,...

In this paper, two classes of risk order, i.e., stochastic dominance order and dual stochastic dominance order,are analogically analysed and got three descriptions about the characteristic of order as following:(1) utility-free order equivalent to stochastic dominance order; (2) distortion-free order equivalent to dual stochastic dominance order; (3) the first and second stochastic dominance order equivalent to that of dual stochastic dominance order, but it is not true for higher order than the third. At last, we obtained two meaningful applications for comonotonic risks by these properties.One is determined a class of optimal reinsurance contract,the other relates to the problem of the measuring of the relative inequity in net premium.

首先对比分析两类风险秩序 :随机控制秩序与对偶随机控制秩序 ,得到关于风险本质特征的三个方面的刻画 :(1)效用自由秩序等价于随机控制秩序 ;(2 )畸变自由秩序等价于对偶随机控制秩序 ;(3)第一、第二阶随机控制秩序等价于相应的对偶随机控制秩序 ,但对高于三阶的情况不一定成立。其次 ,针对同单调风险给出了两个方面的应用 :(1)确定了一类最优再保险合同 ;(2 )给出了均衡净保费的相对不公平性的一个测度方法。

 
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