Reserve of Semi-continuous Life Insurance Model under Random Interest Rate

摘要

In this paper, it aims at an n-year term increasing life insurance model, considers the factual statements and the bursting out things' influence on interest rate, establishes the model for stochastic interest rate by Reflected Brownian motion associating with Poisson process, and gives the common expression of semi-continuous reserve and the expression in the suppose of Uniform distribution of death.