华南理工大学学报(自然科学版) ›› 2004, Vol. 32 ›› Issue (2): 85-88.

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基于VaR风险测度的投资组合优化模型及应用

罗军 何春雄   

  1. 华南理工大学 应用数学系‚广东 广州510640
  • 收稿日期:2003-04-07 出版日期:2004-02-20 发布日期:2015-09-07
  • 通信作者: 罗军(1979-)‚男‚硕士生‚主要从事资产定价和风险管理的研究。 E-mail:jluo@163.net
  • 作者简介:罗军(1979-)‚男‚硕士生‚主要从事资产定价和风险管理的研究。

Optimal Portfolio Model Based on VaR and Its Application

Luo Jun He Chun-xiong   

  1. Department of Applied Mathematics‚South China Univ.of Tech.‚Guangzhou510640‚Guangdong‚China
  • Received:2003-04-07 Online:2004-02-20 Published:2015-09-07
  • Contact: 罗军(1979-)‚男‚硕士生‚主要从事资产定价和风险管理的研究。 E-mail:jluo@163.net
  • About author:罗军(1979-)‚男‚硕士生‚主要从事资产定价和风险管理的研究。

摘要: 以 VaR 作为投资组合风险的衡量尺度‚在马柯维茨框架下建立均值-VaR 投资组合优化模型‚并采用蒙特卡罗模拟与遗传算法相结合的方法求解该模型.通过该模型在中国股市的实证研究‚从资产收益率分布的假设与 VaR 置信水平的假设两方面对投资决策的影响进行了讨论‚发现如果资产收益率分布的尾部越厚、VaR 置信水平越高‚那么投资策略越保守.

关键词: 风险价值, 遗传算法, 风险厌恶, 置信水平

Abstract: With VaR as a measure of investment combination‚the “Mean-VaR” optimal portfolio model was established by using Markowitz’s Portfolio Theory.Furthermore‚Mont Carlo simulation method as well as the Genetic Algorithm was designed for solving this model.Following‚through the study on China stock market analysis was given to examine the proposed method‚some valuable results that if the fatter the tail of the distribution is‚or the higher VaR confidence level is‚then the more conservative
the portfolio decision is can be obtained by discussing the effect on investment from the hypothesis of between the distribution of capital asset rate and the VaR confidence level.

Key words: value at risk, genetic algorithm, risk aversion, confidence level

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