This work considers stochastic models of defined benefit pension plans. Stochastic growth rate of salary, and stochastic mortality is allowed to evaluate pension plan. Especially important thing is that based on Momon (2004), we extend Vasicek model to multi-dimentional cases and use it to mode...

We establish stochastic models considering stochastic growth rate of salary, stochastic return rate of investment portfolio and stochastic mortality to evaluate pension surplus. We also establish the stochastic objective function of minimizing the contribution rate satisfying the constraint of...