| With the development of the economy,the society and people’s living condition,people are paying more and more attention to personal and family quality of life issues,which means that more families will buy life insurance,so the life insurance will also welcome a big opportunity to develop.At the same time as the rapid development of the economy,there is also a problem that gradually emerges,that is,the problem of imbalance in the level of development between regions.This imbalance will also cause differences in the health-level of residents between different regions,and this difference will have an impact on the operation of insurance companies.This paper is based on this difference in health-level,while considering the health level and studying the optimal investment problems of life insurance companies.The main research content of this paper is the optimal investment problem for life insurance company based on health level.First,based on the actual data,study the impact of health level on insurance company claims,and fit the function of compensation and health level.It is assumed that there are two kinds of assets in the market for insurance companies to make investment choices,a risk-free asset and a risk asset,in which the risk asset obeys the geometric Brownian motion.Based on the health-level of the insurer’s optimal risk investment process,the stochastic optimal control theory is applied to obtain the corresponding Hamilton-Jacobi-Bellman equation.For a mean-variance criterion,the optimal investment is obtained by setting and separating variables.Finally,for the above-mentioned insurer’s optimal investment and pricing problems,analyze the influence of each model parameter on the optimal investment strategy and value function,and the corresponding economic explanation is given,which is the insurer in the actual market.Investing in decision-making provides effective theoretical guidance,while also making meaningful explorations for further research in the future. |
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