V2EX mean-variance optimization

Mean-Variance Optimization

释义 Definition

均值-方差优化:一种投资组合构建方法,用资产的预期收益(均值)风险(收益波动的方差/标准差)来权衡,在给定约束下寻找“在同等风险下收益最高”或“在同等收益下风险最低”的资产权重组合。它是现代投资组合理论(MPT)的核心工具之一。(在实践中也常扩展为使用协方差矩阵来刻画资产间联动风险。)

例句 Examples

A mean-variance optimization suggested putting more weight on bonds to reduce risk.
均值-方差优化建议提高债券权重以降低风险。

Using mean-variance optimization with a covariance matrix, the analyst built an efficient portfolio under limits on leverage and short selling.
分析师结合协方差矩阵进行均值-方差优化,在杠杆与卖空受限的条件下构建了一个有效率的投资组合。

发音 Pronunciation (IPA)

/minvrins ptmazen/

词源 Etymology

该术语由两部分组成:mean(均值、平均水平)+ variance(方差、波程度)描述风险收益刻画方式;optimization(优化)源自“使达到最佳”的数学/工程用语。在金融语境中,“均值-方差”框架由哈里马科维茨(Harry Markowitz)在20世纪中期系统化,用于用数学方法选择资产配置。

相关词 Related Words

文学与经典著作 Literary Works

  • Harry Markowitz, “Portfolio Selection” (1952)
  • Harry Markowitz, Portfolio Selection: Efficient Diversification of Investments (1959)
  • William F. Sharpe, Gordon J. Alexander, Jeffrey W. Bailey, **Investments**(多版教材中讨论均值-方差框架)
  • Zvi Bodie, Alex Kane, Alan J. Marcus, **Investments**(多版教材中系统介绍均值-方差与有效前沿)
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