Research on the Application of Pension Insurance Actuarial Model Based on Stochastic Interest Rate and Improved APC Mortality Rate

Abstract

In this paper, the representative retirement annuity in the old-age insurance is taken as the research object, the retirement age is described by the (a,b,0) distribution class, and the interest rate is described by the combination of the origin reflection Brownian motion and the Quasi-Gaussian distribution, the second-order moment present value and equilibrium net premium expression of retirement annuity are obtained by choosing the extended APC model which can fit the mortality rate of China.