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Optimal reinsurance with premium constraint under distortion risk measures

Collection: Articles
Title: Optimal reinsurance with premium constraint under distortion risk measures / Yanting Zheng, Wei CuiAuthor: Zheng, Yanting
Notes: Sumario: Recently distortion risk measure has been an interesting tool for the insurer to reflect its attitude toward risk when forming the optimal reinsurance strategy. Under the distortion risk measure, this paper discusses the reinsurance design with unbinding premium constraint and the ceded loss function in a general feasible region which requiring the retained loss function to be increasing and left-continuous. Explicit solution of the optimal reinsurance strategy is obtained by introducing a premium-adjustment function. Our result has the form of layer reinsurance with the mixture of normal reinsurance strategies in each layer. Finally, to illustrate the applicability of our results, we derive the optimal reinsurance solutions with premium constraint under two special distortion risk measuresVaR and TVaR.Related records: En: Insurance : mathematics and economics. - Oxford : Elsevier, 1990- = ISSN 0167-6687. - 03/11/2014 Volumen 59 Número 1 - noviembre 2014 Other categories: 6
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