马尔科夫机制转换谱正Lévy风险模型中的最优分红策略

Optimal Dividend Strategy in the Spectrally Postive Lévy Risk Model with Regime Switching

在马尔科夫机制转换谱正Levy风险模型中,研究最优分红问题.通过构造辅助的最优化问题,利用动态规划准则和Levy过程的漂移理论,证明了调节有界分红策略是最优策略,通过迭代方法得到了值函数和最优分红水平.

In this paper,we consider the optimal dividend problem in the spectrally positive Levy model with regime switching.By an auxiliary optimal problem,the principle of dynamic programming and the fluctuation theory of Levy processes,we show that optimal strategy is a modulated barrier strategy.The value function and the optimal dividend barrier are obtained by iteration.