本文研究带常利率的离散时间的风险模型,得出了保险公司最终破产概率的一个近似解.给出了估计破产概率的上下界的表达式,并得到近似解的误差估计值.最后将结果应用到当保费服从指数分布这一特殊情况.
This paper studies the discrete risk model with constant interest. An estimate of the ultimate ruin probability is derived. And upper bound and lower bound are also derived respectively. According to the upper bound and lower bound, we can easily obtain the error estimate of the approximate. In the end, we apply the results to the model that the claims have the exponential distribution.