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随机期度与利率反向变动关系的初步研究
引用本文:张玉磊,张曙光.随机期度与利率反向变动关系的初步研究[J].运筹与管理,2005,14(5):117-121.
作者姓名:张玉磊  张曙光
作者单位:中国科学技术大学,统计与金融系,安徽合肥230026
基金项目:国家自然科学基金资助项目(10201029)
摘    要:本文介绍了随机利率下相应的期度—随机期度的定义及其性质.对常见的随机利率模型Vasciek 模型和CIR模型,证明了随机期度与随机利率之间存在着反向的变动关系,从而辅证了随机期度定义的合理性.

关 键 词:随机期度  利率变动关系  利率的期限结构  CIR模型  Vasciek模型
文章编号:1007-3221(2005)05-0117-05
收稿时间:01 25 2005 12:00AM
修稿时间:2005年1月25日

On the Relationship between Stochastic Duration and Interest Rate
ZHANG Yu-lei,ZHANG Shu-guang.On the Relationship between Stochastic Duration and Interest Rate[J].Operations Research and Management Science,2005,14(5):117-121.
Authors:ZHANG Yu-lei  ZHANG Shu-guang
Institution:Dept. of Statistic and Banking, University of Science and Technology of China, Hefei 230026, China
Abstract:In this paper,the relation between stochastic duration and interest rate is studied.We prove that for some typical interest rate models(Vasciek model and CIR model),there is a reverse change between duration and interest rate.Such a result shows that the stochastic duration is reasonably defined.
Keywords:stochastic duration  relationship with interest rate  the term structure of interest rate  CIR model  Vasciek model
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