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Changes in Risk and the Demand for Coinsurance for Economically Important Individuals

風險轉換與經濟重要性個人之共同保險需求

摘要


This paper provides the necessary and sufficient conditions such that economically important individuals, as suggested by Tsetlin et al. (2015), demand a higher coinsurance rate when they face a change in the underlying loss distribution. We further study this issue by classifying the changes in risk into: (1) an increase in the severity of loss, and (2) an increase in the probability of loss. Finally, we provide a numerical example to demonstrate the usefulness of the proposed approach.

並列摘要


本文以Tsetlin et al.(2015)定義之經濟重要性(economically important)個人,探討其在面臨損失分配改變時,保險需求提升的充分必要條件。接著進一步將風險變動的來源,劃分為以下兩個部分討論:第一部分是損失強度(severity of loss)增加,第二部分是損失機率(probability of loss)增加。最後,本文以數值範例說明主要定理之應用。

參考文獻


Chuang, O-Chia, Chung-Ming Kuan, and Larry Y. Tzeng, 2017, Testing for central dominance: Method and application, Journal of Econometrics 196, 368-378.
Gollier, Christian, 1995, The comparative statics of changes in risk revisited, Journal of Economic Theory 66, 522-535.
Hadar, Josef, and Tae Kun Seo, 1990, The effects of shifts in a return distribution on optimal portfolios, International Economic Review 31, 721-736.
Hollifield, Burton, and Alan Kraus, 2009, Defining bad news: Changes in return distributions that decrease risky asset demand, Management Science 55, 1227-1236.
Huang, Yi-Chieh, Kamhon Kan, Larry Y. Tzeng, and Kili C. Wang, 2021, Estimating the critical parameter in almost stochastic dominance from insurance deductibles, Management Science 67, 4742-4755.

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