V2EX efficient frontier

Efficient Frontier

Definition / 定义

有效前沿:现代投资组合理论中的概念,指在相同风险水平下收益最高,或在相同预期收益下风险最低的一组最优投资组合的集合。它通常用“风险(波动率)收益”的曲线表示。该术语常见于资产配置、投资组合优化与风险管理语境。(在不同语境中 frontier 也可泛指“前沿/边界”,但此处为金融学专用含义。)

Pronunciation / 发音

/fnt frn.tr/

Examples / 例句

The efficient frontier helps investors choose portfolios with the best trade-off between risk and return.
有效前沿帮助投资者选择在风险与收益之间权衡最优的投资组合。

After adding bonds to the portfolio, the efficient frontier shifted upward, implying higher expected returns for the same level of risk.
在投资组合中加入债券后,有效前沿整体上移,意味着在相同风险水平下可以获得更高的预期收益。

Etymology / 词源

Efficient 源自拉丁语 efficere(“完成、实现”),引申为“有效率的、能产生最好结果的”;frontier 原指“边界、疆界”。“Efficient fronier”由经济学家哈里马科维茨(Harry Markowitz)在现代投资组合理论中推广,用来表示最优可达的边界:在可行投资组合集合中,位于“边界”上的组合才是“有效”的。

Related Words / 相关词

Literary Works / 文学作品举例

  • Markowitz, Harry (1952). Portfolio Selection(提出并奠定有效前沿与均值方差框架的经典论文)
  • Markowitz, Harry (1959). Portfolio Selection: Efficient Diversification of Investments(系统阐述有效分散与有效前沿)
  • Bodie, Zvi; Kane, Alex; Marcus, Alan J. Investments(投资学经典教材,常用有效前沿讲解资产配置)
  • Elton, Edwin J.; Gruber, Martin J. Modern Portfolio Theory and Investment Analysis(现代投资组合理论教材,频繁讨论有效前沿)
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