Pricing Of Life Insurance Products Under Random Environment

As one of the core of the operating system of insurance companies,insurance pricing has been paid more and more attention in recent years.The research on the application of stochastic differential equation to insurance pricing is becoming more and more in-depth.In this paper,considering the rules of random environment and the change of insurance risk,the backward stochastic differential equation is used to apply the backward stochastic differential equation to the pricing system of life insurance.The main feature is to solve the investment strategy by describing a variety of different investment assets and combining the backward stochastic partial differential equation,and taking the investment strategy as the condition,the iterative formula is obtained by the asset share pricing method,and the pricing of life insurance is given.After that,the interest rate is extended to the random interest rate,and the Vasicek model and the backward stochastic differential equation are used to determine the life insurance pricing problem.The paper also makes numerical analysis on the pricing results of multiple assets and stochastic interest rates.The article extends the new pricing method of life insurance and enables it to better adapt to the investment situation of the insurance company under the new situation.