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The Pareto-Optimal Stop-Loss Reinsurance

Haiyan You and Xiaoqing Zhou

Mathematical Problems in Engineering, 2021, vol. 2021, 1-6

Abstract:

Reinsurance plays a role of a stabilizer of the insurance industry and can be an effective tool to reduce the risk for the insurer. This paper aims to provide the optimal reinsurance design associated with the stop-loss reinsurance under the criterion of value-at-risk (VaR) risk measure. In this paper, the probability levels in the VaRs used by the both reinsurance parties are assumed to be different and the optimality results of reinsurance are derived by minimizing linear combination of the VaRs of the cedent and the reinsurer. The optimal parameter values of the stop-loss reinsurance policy are formally derived under the expectation premium principle.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2839726

DOI: 10.1155/2021/2839726

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