@article{MAKHILLJMMS20115428174, title = {A Class of Variable Payment Life Insurance Actuarial Model with the Stochastic Interest Rate under the Weibull Distribution of Death}, journal = {Journal of Modern Mathematics and Statistics}, volume = {5}, number = {4}, pages = {80-83}, year = {2011}, issn = {1994-5388}, doi = {jmmstat.2011.80.83}, url = {https://makhillpublications.co/view-article.php?issn=1994-5388&doi=jmmstat.2011.80.83}, author = {Niannian and}, keywords = {Stochastic interest rate,Wiener process,level net premium,Actuarial Model,Weibull mortality,China}, abstract = {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.} }