基于投资理论的保险定价公式

Insurance Pricing Formula Based on Investment Theory

在保险公司是风险中性的假设下 ,运用倒向随机微分方程的理论 ,研究了保险公司在风险投资框架下的保险定价问题。首先 ,建立了保险定价问题的线性正倒向随机微分方程数学模型 ;然后 ,根据一类特殊线性倒向随机微分方程的显式解 ,推出了由风险投资确定的保险定价公式 ;最后 ,进行了算例分析。

Under the assumption that insurance companies are risk neutral,and using the theory of backward stochastic differential equation,the insurance pricing problem is studied in the framework of investment theory.At first,the linear forward-backward stochastic differential equation for insurance pricing is established.Then the insurance pricing formula based on the investment theory is obtained on the basis of the explicit solution of a special class of linear backward stochastic differential equation.Finally,an example is provided.