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Optimal mean-variance reinsurance and investment strategy with constraints in a non-Markovian regime-switching model

Liming Zhang, Rongming Wang and Jiaqin Wei

Statistical Theory and Related Fields, 2020, vol. 4, issue 2, 214-227

Abstract: This paper is devoted to study the proportional reinsurance/new business and investment problem under the mean-variance criterion in a continuous-time setting. The strategies are constrained in the non-negative cone and all coefficients in the model except the interest rate are stochastic processes adapted the filtration generated by a Markov chain. With the help of a backward stochastic differential equation driven by the Markov chain, we obtain the optimal strategy and optimal cost explicitly under this non-Markovian regime-switching model. The cases with one risky asset and Markov regime-switching model are considered as special cases.

Date: 2020
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DOI: 10.1080/24754269.2020.1719356

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