This paper studies the optimization problem with both investment and proportional reinsurance control under the assumption that the surplus process of an insurance entity is represented by a pure diffusion process.The...This paper studies the optimization problem with both investment and proportional reinsurance control under the assumption that the surplus process of an insurance entity is represented by a pure diffusion process.The company can buy proportional reinsurance and invest its surplus into a Black-Scholes risky asset and a risk free asset without restrictions.The authors define absolute ruin as that the liminf of the surplus process is negative infinity and propose absolute ruin minimization as the optimization scenario.Applying the HJB method the authors obtain explicit expressions for the minimal absolute ruin function and the associated optimal investment strategy.The authors find that the minimal absolute ruin function here is convex,but not S-shaped investigated by Luo and Taksar(2011).And finally,from behavioral finance point of view,the authors come to the conclusion:It is the restrictions on investment that results in the kink of minimal absolute ruin function.展开更多
In this paper, the surplus process is assumed to be a periodic risk model and the insurer is allowed to invest in multiple risky assets described by the Black-Scholes market model. Under shortselling prohibition, the ...In this paper, the surplus process is assumed to be a periodic risk model and the insurer is allowed to invest in multiple risky assets described by the Black-Scholes market model. Under shortselling prohibition, the authors consider the optimal investment from an insurer＇s point of view by maximizing the adjustment coefficent and the expected exponential utility of wealth at one period, respectively. It is shown that the optimal strategies of both of optimization problems are to invest a fixed amount of money in each risky asset.展开更多
基金supported by the National Natural Science Foundation for Young Scholars of China under Grant No.11401556the National Natural Science Foundation of China under Grant Nos.11471304 and 11171321
文摘This paper studies the optimization problem with both investment and proportional reinsurance control under the assumption that the surplus process of an insurance entity is represented by a pure diffusion process.The company can buy proportional reinsurance and invest its surplus into a Black-Scholes risky asset and a risk free asset without restrictions.The authors define absolute ruin as that the liminf of the surplus process is negative infinity and propose absolute ruin minimization as the optimization scenario.Applying the HJB method the authors obtain explicit expressions for the minimal absolute ruin function and the associated optimal investment strategy.The authors find that the minimal absolute ruin function here is convex,but not S-shaped investigated by Luo and Taksar(2011).And finally,from behavioral finance point of view,the authors come to the conclusion:It is the restrictions on investment that results in the kink of minimal absolute ruin function.
基金supported by National Basic Research Program of China(973 Program) under Grant No. 2007CB814905the Natural Science Foundation of China under Grant No.11171164
文摘In this paper, the surplus process is assumed to be a periodic risk model and the insurer is allowed to invest in multiple risky assets described by the Black-Scholes market model. Under shortselling prohibition, the authors consider the optimal investment from an insurer＇s point of view by maximizing the adjustment coefficent and the expected exponential utility of wealth at one period, respectively. It is shown that the optimal strategies of both of optimization problems are to invest a fixed amount of money in each risky asset.
