In this paper we study optimal reinsurance models from the per- spective of an insurer by minimizing the total risk exposure under a distortion risk measure in the hypothesis of a stochastic reinsurance premium. This assumption is consistent with reinsurance practice in which reinsurance premiums frequently depend on the recorded claims rate, therefore a random component results. For example, it is consis- tent with reinstatement clauses which are widely used in the industry.
On Optimal Reinsurance with Stochastic Premium
Campana, Antonella;Ferretti, Paola
2019
Abstract
In this paper we study optimal reinsurance models from the per- spective of an insurer by minimizing the total risk exposure under a distortion risk measure in the hypothesis of a stochastic reinsurance premium. This assumption is consistent with reinsurance practice in which reinsurance premiums frequently depend on the recorded claims rate, therefore a random component results. For example, it is consis- tent with reinstatement clauses which are widely used in the industry.
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