均值-CVaR模型下的两基金分离定理

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.

Two-fund separation theorem under mean-CVaR model

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.