当前位置: X-MOL 学术Probab. Eng. Inf. Sci. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
An adaptive strategy for offering m-out-of-n insurance policies
Probability in the Engineering and Informational Sciences ( IF 1.1 ) Pub Date : 2022-03-15 , DOI: 10.1017/s0269964821000504
George S. Fishman 1 , Shaler Stidham 1
Affiliation  

A company with $n$ geographically widely dispersed sites seeks insurance that pays off if $m$ out of the $n$ sites experience rarely occurring catastrophes (e.g., earthquakes) during a year. This study describes an adaptive dynamic strategy that enables an insurance company to offer the policy with smaller loss probability than more conventional static policies induce, but at a comparable or lower premium. The strategy accomplishes this by periodically purchasing reinsurance on individual sites. Exploiting rarity, the policy induces zero loss with probability one if no more than one quake occurs during any review interval. The policy also may induce a profit if $m$ or more quakes occur in an interval if no quakes have occurred in previous intervals. The study also examines the benefit of more than one reinsurance policy per active site. The study relies on expected utility to determine indifference premiums and derives an upper bound on loss probability independent of premium.



中文翻译:

一种提供 m-out-of-n 保单的自适应策略

一家拥有$n$个地点分布广泛的公司寻求保险,如果$n$个地点中的$m$个在一年内经历了很少发生的灾难(例如地震),该保险就能获得回报。本研究描述了一种自适应动态策略,该策略使保险公司能够提供比更传统的静态保单具有更小损失概率的保单,但保费相当或更低。该策略通过定期在各个站点购买再保险来实现这一点。利用稀有性,如果在任何审查间隔期间发生的地震不超过一次,则该策略会导致零损失,概率为 1。如果$m$,该保单也可能带来利润如果在以前的时间间隔内没有发生地震,则在一个时间间隔内会发生更多地震。该研究还检查了每个活跃站点的多个再保险政策的好处。该研究依靠预期效用来确定无差异保费,并推导出独立于保费的损失概率上限。

更新日期:2022-03-15
down
wechat
bug