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題名 Optimal insurance contract with stochastic background wealth
作者 Huang, Hung-Hsi;Shiu, Yung-Ming;Wang, Ching-Ping
貢獻者 風管系
日期 2011-01
上傳時間 7-Jan-2015 16:54:26 (UTC+8)
摘要 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.
關聯 Scandinavian Actuarial Journal,2013(2), 119-139
資料類型 article
DOI http://dx.doi.org/10.1080/03461238.2011.574347
dc.contributor 風管系
dc.creator (作者) Huang, Hung-Hsi;Shiu, Yung-Ming;Wang, Ching-Ping
dc.date (日期) 2011-01
dc.date.accessioned 7-Jan-2015 16:54:26 (UTC+8)-
dc.date.available 7-Jan-2015 16:54:26 (UTC+8)-
dc.date.issued (上傳時間) 7-Jan-2015 16:54:26 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/72647-
dc.description.abstract (摘要) 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.
dc.format.extent 454824 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Scandinavian Actuarial Journal,2013(2), 119-139
dc.title (題名) Optimal insurance contract with stochastic background wealth
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1080/03461238.2011.574347en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1080/03461238.2011.574347en_US