跳扩散盈余过程的最优投资和最优再保险

被引:14
作者
梁志彬
机构
[1] 南京师范大学数学与计算机科学学院
关键词
随机控制; Hamilton-Jacobi-Bellman方程; 跳扩散过程;
D O I
暂无
中图分类号
O211.63 [随机微分方程];
学科分类号
摘要
站在保险人的立场上,研究了跳扩散盈余过程的最优投资和最优再保险问题.在方差保费原理下,以盈余终值的期望指数效用达到最大作为最优准则,给出了最优策略和值函数的近似表达式.同时也证明了投资总比不投资好的结论.最后,通过一些数例和图表来进一步说明所获得的结论.
引用
收藏
页码:1195 / 1204
页数:10
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