Equilibrium Dividend Strategies in the Dual Model with a Random Time Horizon
Applied Mathematics-A Journal of Chinese Universities(2023)
摘要
This paper investigates the dividend problem with non-exponential discounting in a dual model. We assume that the dividends can only be paid at a bounded rate and that the surplus process is killed by an exponential random variable. Since the non-exponential discount function leads to a time inconsistent control problem, we study the equilibrium HJB-equation and give the associated verification theorem. For the case of a mixture of exponential discount functions and exponential gains, we obtain the explicit equilibrium dividend strategy and the corresponding equilibrium value function. Besides, numerical examples are shown to illustrate our results.
更多查看译文
关键词
equilibrium dividend strategies,non-exponential discounting,time inconsistence,dual model,equilibrium HJB-equation
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要