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基于等级依赖期望效用的最优保险设计

OPTIMAL INSURANCE DESIGN UNDER RANK‐DEPENDENT EXPECTED UTILITY

Mathematical Finance · 2013
被引 122 · 同刊同年前 10%
人大 BABS 3

中文导读

研究了在等级依赖期望效用理论下,个体如何设计最优保险合同,发现最优合同不仅覆盖大额损失(超过免赔额),还全额覆盖小额损失,这与保修需求等行为一致。

Abstract

We consider an optimal insurance design problem for an individual whose preferences are dictated by the rank‐dependent expected utility (RDEU) theory with a concave utility function and an inverse‐S shaped probability distortion function. This type of RDEU is known to describe human behavior better than the classical expected utility. By applying the technique of quantile formulation, we solve the problem explicitly. We show that the optimal contract not only insures large losses above a deductible but also insures small losses fully. This is consistent, for instance, with the demand for warranties. Finally, we compare our results, analytically and numerically, both to those in the expected utility framework and to cases in which the distortion function is convex or concave.

保险经济学行为经济学风险管理最优契约设计