TY - JOUR T1 - A Class of Variable Payment Life Insurance Actuarial Model with the Stochastic Interest Rate under the Weibull Distribution of Death AU - Jia, Niannian AU - Ji, Yanhui JO - Journal of Modern Mathematics and Statistics VL - 5 IS - 4 SP - 80 EP - 83 PY - 2011 DA - 2001/08/19 SN - 1994-5388 DO - jmmstat.2011.80.83 UR - https://makhillpublications.co/view-article.php?doi=jmmstat.2011.80.83 KW - Stochastic interest rate KW -Wiener process KW -level net premium KW -Actuarial Model KW -Weibull mortality KW -China AB - 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. ER -