期刊文献+

随机利率下的责任准备金 被引量:2

Reserves under stochastic interest rates
下载PDF
导出
摘要 针对按年缴费的终身寿险模型,改进传统的常值利率的准备金模型.考虑突发事件对利率的影响,利用Weiner过程和Poisson过程联合对利息力建模,求出了此时的均衡保费和准备金的表达式,并在此基础上得出了损失变量方差的表达式. We extend the traditional constant interest rate reserve model in life insurance with premium paid each year until death. In consideration of abrupt events, we establish the model for the force of interest by both Wiener process and Poisson process, and get the expression for net premium, reserve and the variance for the loss variable.
作者 张文彬
出处 《中国科学院研究生院学报》 CAS CSCD 2007年第2期145-148,共4页 Journal of the Graduate School of the Chinese Academy of Sciences
关键词 准备金 随机利率 WIENER过程 POISSON过程 reserve, stochastic interest rate, Wiener process, Poisson process
  • 相关文献

参考文献4

二级参考文献3

  • 1何文炯,蒋庆荣.随机利率下的增额寿险[J].高校应用数学学报(A辑),1998,13(2):145-152. 被引量:36
  • 2[4]BEARD R E. Risk Theory,the stochastic basis of insurance[M].Chapman and Hall,1987.
  • 3GERBER H U. Life Insurance Mathematics: 3 ed [M]. London: Springer-Verlag, 1997.

共引文献13

同被引文献9

  • 1郎艳怀.随机利率下的寿险模型研究[J].中国管理科学,2004,12(z1):316-318. 被引量:2
  • 2李晋枝,乔克林.一类随机利率的寿险模型[J].延安大学学报(自然科学版),2004,23(4):19-21. 被引量:7
  • 3Beekman J A,Fueling C F.Extra randomness in certain annuities models[J].Insurance:Mathematics & Economics,1991,10:275-287.
  • 4Biagini F,Hu Y,(O)ksendal B,et al.Stochastic Calculus for Fractional Brownian Motion and Applications[M].Springer,2006.
  • 5BEEKMAN J A, FUELING C F. Extra randomness in certain annuities models [ J ]. Insurance : Mathematics & Economics, 1991,10( 1 ) :275-287.
  • 6SCHEPPER A, GOOVAERTS M. Some further results on annuities certain with random interest [ J ]. Insurance:Mathematics I Economics, 1992,11 ( 1 ) :283-290.
  • 7BIAGINI F, HU Y, OKSENDAL B, et al. Stochastic calculus for fractional brownian motion and applications[ M]. Berlin: Heidelberg, New York: Springer, 2006.
  • 8刘凌云,汪荣明.一类随机利率下的增额寿险模型[J].应用概率统计,2001,17(3):283-290. 被引量:43
  • 9王明姬,田乃硕.息力函数综合寿险模型[J].运筹与管理,2003,12(3):5-8. 被引量:7

引证文献2

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部