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主办:中国优选法统筹法与经济数学研究会
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中国管理科学 ›› 2008, Vol. 16 ›› Issue (4): 30-35.

• 论文 • 上一篇    下一篇

不允许卖空情况下均值-方差和均值-VaR投资组合比较研究

张鹏   

  1. 武汉科技大学管理学院 湖北 武汉 430081
  • 收稿日期:2008-05-08 修回日期:2008-12-11 出版日期:2008-08-31 发布日期:2008-08-31
  • 基金资助:
    国家自然科学基金资助项目(70471077);武汉科技大学校基金项目(2008XY33)

The Comparison between Mean-Variance and Mean-VaR Portfolio Models without Short Sales

ZHANG Peng   

  1. School of Management, Wuhan University of Science and Technology, Wuhan 430081, China
  • Received:2008-05-08 Revised:2008-12-11 Online:2008-08-31 Published:2008-08-31

摘要: 文章研究了不允许卖空情况的均值-方差和均值-VaR两种投资组合模型,并运用不等式组的旋转算法并结合序列二次规划法进行求解。最后,通过实证研究验证了上述算法的有效性。计算结果还表明,在不允许卖空情况下,均值-VaR投资组合的有效前沿为均值-方差投资组合有效前沿的子集;置信度越低,投资者越倾向于选择收益率大而风险也大的投资组合。

关键词: 投资组合, 不允许卖空, 均值-VaR, 序列二次规划, 旋转算法

Abstract: The paper studied mean-variance and mean-VaR models without short sales respectively, then used pivoting algorithm and sequence of quadratic programming method to solve those models.The algorithms were proved efficient by the empirical research.The result indicated that the efficient frontiers of mean-VaR model were the subset of the efficient frontiers of mean-variance model.The smaller the credit value was, the more the investors were interested in the portfolio that the expected return and variance were all big.

Key words: portfolio selection, without short sales, mean-VaR, sequence of quadratic programming, pivoting algorithm

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