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J. Risk Financial Manag. 2017, 10(1), 4; doi:10.3390/jrfm10010004

Determination of the Optimal Retention Level Based on Different Measures

Department of Actuarial Sciences, Hacettepe University, 06800 Ankara, Turkey
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Academic Editor: Michael McAleer
Received: 6 December 2016 / Revised: 17 January 2017 / Accepted: 18 January 2017 / Published: 25 January 2017
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Abstract

This paper deals with the optimal retention level under four competitive criteria: survival probability, expected profit, variance and expected shortfall of the insurer’s risk. The aggregate claim amounts are assumed to be distributed as compound Poisson, and the individual claim amounts are distributed exponentially. We present an approach to determine the optimal retention level that maximizes the expected profit and the survival probability, whereas minimizing the variance and the expected shortfall of the insurer’s risk. In the decision making process, we concentrate on multi-attribute decision making methods: the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) and the VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) methods with their extended versions. We also provide comprehensive analysis for the determination of the optimal retention level under both the expected value and standard deviation premium principles. View Full-Text
Keywords: optimal reinsurance; survival probability; expected profit; expected shortfall; variance of the insurer’s risk; TOPSIS; VIKOR optimal reinsurance; survival probability; expected profit; expected shortfall; variance of the insurer’s risk; TOPSIS; VIKOR
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Bulut Karageyik, B.; Şahin, Ş. Determination of the Optimal Retention Level Based on Different Measures. J. Risk Financial Manag. 2017, 10, 4.

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