Continuous life annuities under uncertain interest rate

Abstract

Actuarial science provide scientific basis and tools for raising the level of management and making strategies, and life annuity is a critical issue of actuarial science. In this paper, we focus on presenting uncertain process for modeling the force of interest, combining the survival rate to calculate various life annuities. Then we compare the net premium under uncertain interest to the traditional methods for deterministic interest and stochastic interest.