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均值-CVaR模型下的两基金分离定理

Two-fund separation theorem under mean-CVaR model

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【作者】 曹静秦超英覃森

【Author】 CAO Jing~1,QIN Chao-ying~1,QIN Sen~(1,2) (1.Department of Applied Mathematics,Northwestern Polytechnical University,Xi’an 710072,China; 2.School of Automation,Northwestern Polytechnical University,Xi’an 710072,China)

【机构】 西北工业大学应用数学系西北工业大学应用数学系 陕西西安710072陕西西安710072西北工业大学自动化学院

【摘要】 两基金分离定理对资本资产定价模型的研究有重要意义.经典的理论以方差为风险度量方法,而CVaR是近年来提出的一种新的风险度量方法.本文基于CVaR风险度量方法,研究了正态情形下风险资产组合的均值-CVaR模型,得到了此模型下的两基金分离定理及其有关性质,并与均值-方差模型进行了比较.最后通过实例分析表明均值-CVaR模型下的两基金分离定理更能满足投资者不同的风险忍受水平.

【Abstract】 Two-fund separation theorem is very important for the research of capital asset pricing model.Classical theory is based on the variance technique,and CVaR conditional value_at_risk is a new measure of risk which is presented recently.Based on the CVaR technique,the MeanCVaR model under the assumption of normality of risk securities is studied in this paper.The two-fund separation theorem and the corresponding properties are proposed,and the comparison between the Mean-CVaR model and Mean-Variance model is provided.Finally,an empirical example is given to show that the two-fund separation theorem in Mean-CVaR model rather satisfies the different risk tolerance levels of the investors.

  • 【文献出处】 系统工程学报 ,Journal of Systems Engineering , 编辑部邮箱 ,2006年02期
  • 【分类号】F830.59
  • 【被引频次】31
  • 【下载频次】580
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