مجلة بحوث الإدارة والاقتصاد
Volume 2, Numéro 4, Pages 86-100
2020-09-22
Application Of Convex Optimization Results Of De Finetti’s Problem For Proportional Reinsurance (study Case Caarama)
Authors : Cheraitia Zahra . Kherchi Medjden Hanya .
Abstract
he objective of this research is to find the optimal retention level for a proportional reinsurance treaty based on the results of the convex optimization developed in De Finetti’s model. The latter makes it possible to determine the level of retention that achieves the expected profit by the insurer, while minimizing claims volatility. The convex functions appear abundantly in economics and finance. They have remarkable specificities that allows actuaries to minimize financial risks to which some institutions are exposed, especially insurance companies. Therefore, the use of mathematical tools to manage the various risks is paramount.In order to remedy the optimization problem, we have combined the probability of failure method with the "De Finetti" model for proportional reinsurance, which proposed a retention optimization process that minimizes claim volatility for a fixed expected profit based on the results of the non-linear optimization.
Keywords
Convex function, Nonlinear optimization, Proportional reinsurance, Risk minimization.
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