基于扭曲风险度量及扭曲保费原理的最优安全加载因子

Optimal reinsurance problem for insurers and reinsurers based on distortion risk measures

  • 摘要: 本文研究了再保险定价中再保险公司应设定的最优安全加载因子.我们假设保险公司根据Cai等(2008)的结果选择特定形式的分出损失函数,并假设保险公司面临的损失服从零修正指数分布.我们研究了基于扭曲风险度量和扭曲保险费原则的再保险保险费原则的最优安全加载因子.当扭曲风险度量被指定为风险价值(VaR)风险度量和条件尾期望(CTE)风险度量,扭曲保费原理被指定为期望保费原理时,我们分别得到了再保险保费原理的最优安全加载因子.

     

    Abstract: In this paper, the optimal safety loading that the reinsurer should set in the reinsurance pricing is studied. We assume that the insurer chooses the specific form of the loss function according to the result of Cai et al. (2008), and assume that the loss faced by the insurer follows the zero-modified exponential distribution. We study the optimal safety loading of reinsurance premium principle with distortion risk measures and distortion premium principle. When the distortion risk measures is specified to be the value at risk (VaR) risk measure and conditional tail expectation (CTE) risk measure, and the distortion premium principle is specified to be the expectation premium principle, we study the optimal safety loading of reinsurance premium principle, respectively.

     

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