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随机利率下的增额寿险模型研究 被引量:3

A Study on Models of Increasing Life Insurance under Random Interest Rate
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摘要 在实际的保险精算中,保单保险金现值函数的期望就是该种保单的纯保费,而方差常用来度量该种保单的风险.对随机利率采用W iener过程建模,得到了增额寿险保险金现值函数的期望和方差. Expectation of present value function of portfolio fund is the pure premium of policies, and variance is usually used to measure risk in insurance and actuarial field. In this paper, under Random Interest Rate modeled with Wiener process, expectation and variance of present value function of increasing life insurance were obtained.
出处 《数学的实践与认识》 CSCD 北大核心 2005年第10期41-44,共4页 Mathematics in Practice and Theory
基金 教育部人文社科项目资助课题(编号:02JA790057) 国家社会科学基金(03BJY099) 教育部博士点专项科研基金(20020532005)
关键词 WIENER过程 现值函数 增额寿险 随机利率 模型 保险精算 过程建模 值函数 纯保费 方差 wiener process present value function increasing life insurance
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参考文献6

  • 1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
  • 2Dufresne D. The distribution of a perpetuity with application to risk theory and pension funding [J ]. Scand Actuarial J. 1990. 39-79.
  • 3Parker G. Two stochastic approaches for discounting actuarial function[J]. Astin Bulletin, 1996. 26(1): 167-181.
  • 4Parker G. Stochastic analysis of the interaction between investment and insurance risks [J]. North American Actuarial Journal. 1997. 1(2):55-84.
  • 5欧阳资生,鄢茵.随机利率下增额寿险现值函数矩的一些结果[J].经济数学,2003,20(1):41-47. 被引量:7
  • 6Aichison. J & Brown. J A C. The lognormal distribution[M]. 176. Cambridge University Press. 1963.

二级参考文献6

  • 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
  • 2Aichison, J & Brown, J. A. C. , The lognormal distribution, Cambridge University Press, 1963, P.176.
  • 3Dufresne, D. , The distribution of a perpetuity with application to risk theory and pension funding,Scand Actuarial J. , 1990, 39-79.
  • 4Parker, G. , Two stochastic approaches for discounting actuarial function, Astin Bulletin, 26:1(1996),167-181.
  • 5Parker, G. , Stochastic analysis of the interaction between investment and insurance risks, North American Actuarial Journal, 12(1997), 55-84.
  • 6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

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