摘要
该文研究了两类风险模型下具有两个再保险公司的最优再保险和投资问题.保险公司购买比例再保险并投资于无风险资产和风险资产组成的金融市场,其风险资产价格模型受Ornstein-Uhlenbeck过程影响.假设再保险的保费按照指数保费原则来计算,保险公司的目标是使终端财富的期望指数效用最大化.利用随机控制理论和HJB方程,推导出了最优策略和值函数的显式表达式.最后,通过数值分析验证了模型参数对最优策略的影响.
This paper studies the optimal reinsurance and investment problem with two reinsurance companies under two risk models.The insurance company purchases proportional reinsurance and invests in the financial market consisting of one risk-free asset and one risky asset,where the price of the risky asset is influenced by the Ornstein-Uhlenbeck process.Assuming that premiums for reinsurance are calculated according to the exponential premium principle,and the insurer's goal is to maximize the expected exponential utility of terminal wealth.Using stochastic control theory and HJB equation,the explicit expressions of the optimal strategy and value function are derived.Finally,the influence of model parameters on optimal strategy is verified by numerical analysis.
作者
黄玲
刘海燕
陈密
Huang;Liu Haiyan;Chen Mi(School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117;Fujian Provincial Key Laboratory of Mathematical Analysis and its Applications,Fuzhou 350117)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2023年第3期957-969,共13页
Acta Mathematica Scientia
基金
国家自然科学基金(11701087)
福建省自然科学基金(2019J01673)~~。
