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均值—条件风险价值模型有效前沿分析——以含无风险资产和持有期为研究视角
引用本文:周圣.均值—条件风险价值模型有效前沿分析——以含无风险资产和持有期为研究视角[J].西南交通大学学报(社会科学版),2012,13(3):122-126.
作者姓名:周圣
作者单位:西南交通大学经济管理学院,四川成都,610031
基金项目:教育部人文社会科学基金(12YJA790110);中央高校基本科研业务费专题项目(A0920502051113-67)
摘    要:从有效投资组合的角度构建持有期下含有无风险资产的均值—条件风险价值模型,用Lagrange乘子法对该模型求解,可得到:一定条件下,新模型的有效前沿与均值—方差模型有效前沿是一致的;且当借贷利率不同时,新模型的有效前沿可以根据组合预期收益率与借贷利率的不同关系,由线段、双曲线以及射线三个部分组合而成。

关 键 词:投资组合  条件风险价值  无风险资产  有效前沿  均值—方差模型  均值—条件风险价值模型

Efficient Frontier Analysis of Mean-CVaR Based on Risk-free Asset and Holding Period Condition
ZHOU Sheng.Efficient Frontier Analysis of Mean-CVaR Based on Risk-free Asset and Holding Period Condition[J].Journal of Southwest Jiaotong Universit(Social Science Edition),2012,13(3):122-126.
Authors:ZHOU Sheng
Institution:ZHOU Sheng(School of Economics and Management,Southwest Jiaotong University,Chengdu 610031,China)
Abstract:A risk-free asset is included in the portfolio,and the mean-CVaR model is established under holding period condition.The model is solved through Lagrange multiplier method,and the results show that efficient frontiers of mean-CVaR and mean-variance model coincide based on some given conditions.Furthermore,according to the relationship between the expected rate of return and borrowing-lending rates,the efficient frontier of mean-CVaR model consists of line segment,hyperbola segment and half line with different borrowing-lending rates.
Keywords:portfolio  conditional value at risk  risk-free asset  efficient frontier  mean-variance model  mean-CVaR model
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