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关于再保险效应的注记
A Note on the Effects of Reinsurance
【摘要】 本文在Sparre Anderson模型中采用超额损失再保险与成数分保混合的策略,其中成数分保再保险费按照原始条款计算,超额损失再保险费按Esscher保费原则计算。通过调整系数来研究再保险的效应,将调整系数看作自留额水平的函数,证明了在M充分大时保险人的调整系数关于自留额水平M单调增加,在一定程度上有利于保险公司确定更合理的自留额水平M。
【Abstract】 We study the insurer’s adjustment coefficient as a function of retention levels for combinations of quota-share with excess of loss reinsurance in the Sparre Anderson model.We show that the insurer’s adjustment coefficient is increasing in M under some conditions when the quota-share reinsurance premium is calculated on original terms and when the excess of loss premium is calculated according to the Esscher premium principle.
【关键词】 Sparre Anderson模型;
调整系数;
再保险;
超额损失;
成数分保;
超额损失再保险与成数分保的组合;
Esscher保费原则。;
【Key words】 Sparre Anderson model; adjustment coefficient; reinsurance; excess of loss; quota-share; combinations of quota-share with excess of loss reinsurance; Esscher premium principle.;
【Key words】 Sparre Anderson model; adjustment coefficient; reinsurance; excess of loss; quota-share; combinations of quota-share with excess of loss reinsurance; Esscher premium principle.;
【基金】 国家自然科学项目(No.10271049)
- 【文献出处】 数理统计与管理 ,Application of Statistics and Management , 编辑部邮箱 ,2007年04期
- 【分类号】F840;F224
- 【被引频次】7
- 【下载频次】120