Optimal Reinsurance-Investment Strategies in a Mean-Reverting Market

Abstract

Abstract: In a mean-reverting market, how to arrange reinsurance and investment proportions is a practical problem faced by general insurers. Assuming that the price of the risky asset is simulated by the exponential OrnsteinUhlenbeck process and the claim process follows a Brownian motion with drift, the optimal proportional reinsurance and investment decisions for insurers with power utility or exponential utility function were studied by stochastic control. A numerical simulation was presented to illustrate the relationship between the speed of mean-reversion and the optimal investment strategy. The results indicate that in a meanreverting market, the optimal strategy depends on not only time and wealth but also the extent of the spot price of the risky asset deviating from the mean value. The predictability of prices requires decision makers to judge the market stage and decide investment strategy in the light of market trend. Key words：

Key words: investment, mean-reversion, optimal strategies, stochastic control, reinsurance

CLC Number:

F 840.3

WANG Lei, GU Meng-Di. Optimal Reinsurance-Investment Strategies in a Mean-Reverting Market[J]. Journal of Shanghai Jiaotong University, 2013, 47(03): 438-443.

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