Calculating Survival Probability by Stochastic Mortality

To calculate premiums, reserves and survival probability in life insurance, we use force of mortality which is usually considered as a deterministic. Here, we model the mortality intensity as a stochastic pro- cess and calculate survival probability which presented in [M. Dahl, Stochastic mortality in life insurance: market reserves and mortality-linked insurance contracts, Insurance: mathematics and economics, 35(1): 113-136, 2004.].