Abstract
In this article, we study optimal reinsurance design. By employing the increasing convex functions as the admissible ceded loss functions and the distortion premium principle, we study and obtain the optimal reinsurance treaty by minimizing the VaR (value at risk) of the reinsurer’s total risk exposure. When the distortion premium principle is specified to be the expectation premium principle, we also obtain the optimal reinsurance treaty by minimizing the CTE (conditional tail expectation) of the reinsurer’s total risk exposure. The present study can be considered as a complement of that of Cai et al. [5].
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Supported by the Natural Science Foundation of Xinjiang Province (2018D01C074) and the National Natural Science Foundation of China (11861064, 11771343, 61563050).
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Tan, T., Chen, T., Wu, L. et al. VaR and CTE Based Optimal Reinsurance from a Reinsurer’s Perspective. Acta Math Sci 40, 1915–1927 (2020). https://doi.org/10.1007/s10473-020-0619-2
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DOI: https://doi.org/10.1007/s10473-020-0619-2
Key words
- optimal reinsurance
- value at risk
- conditional tail expectation
- distortion premium principle
- expectation premium principle