%0 Journal Article %T A Class of Variable Payment Life Insurance Actuarial Model with the Stochastic Interest Rate under the Weibull Distribution of Death %A Niannian Jia %A Yanhui Ji %J Journal of Modern Mathematics and Statistics %D 2012 %I %R 10.3923/jmmstat.2011.80.83 %X Owing to the steady fluctuation of the Wiener process and the sudden disturbance of the negative binomial distribution, we proposed an interest force accumulation function model with a Wiener process and a negative binomial distribution. We built a n-years variable payment life insurance Actuarial Model with this interest force accumulation function. Meanwhile, we obtained the level net premium based on the semi-continuous variable payment life insurance policy with the hypothesis of Weibull mortality. Finally, we simulated model in a numerical example with Matlab and concluded the impact of different parameters upon the level net premium. That further verified the feasibility of the model. %U http://www.medwellonline.net/abstract/?doi=jmmstat.2011.80.83