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Title: Optimal insurance contract with stochastic background wealth
Authors: Huang, Hung-Hsi;Shiu, Yung-Ming;Wang, Ching-Ping
Contributors: 風管系
Date: 2011-01
Issue Date: 2015-01-07 16:54:26 (UTC+8)
Abstract: This study presents an optimal insurance contract developed endogenously when insured individuals face two mutually dependent risks, background wealth and insurable loss. If background wealth is conditionally normally distributed given insurable loss, the optimal insurance contract may be proportional coinsurance above a straight deductible for a quadratic, negative exponential, or mean-variance utility function. Additionally, when the insured has a quadratic utility or mean-variance utility, the optimal retained schedule is a function of conditional expected value of background wealth given insurable loss. Moreover, the optimal insurance contracts for quadratic and negative exponential utility functions need not to be mean-variance efficient, even when the conditional normal distribution is assumed. Finally, when a portfolio problem is considered, the calculation about the optimal insurance contract remains almost unchanged.
Relation: Scandinavian Actuarial Journal,2013(2), 119-139
Data Type: article
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Appears in Collections:[風險管理與保險學系] 期刊論文

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