对现有的利息力模型进行改进,应用复合Poisson过程模拟银行对利率的正常调整,应用标准Brownian运动模拟随机事件对利率正常调整的干扰.在此基础上,推导出纯保费、年金、责任准备金在此随机利率下的公式.
To improve the existing model for force of interest, compound Poisson process is used to simulate bank normal adjustments to interest rates, and standard Brownian motion is applied to simulate the adjustments to normal interest rates interfered by stochastic events. On this basis, a formula used to derive pure premiums, annuity and reserves under stochastic interest rates is thus worked out.