王同学2020-07-12 19:38:47
efficient frontier不是弯曲的那条线吗?他们不都是在cml上嘛?为啥是Yes?
回答(1)
Adam2020-07-13 17:26:49
同学你好,首先马克维茨有效前沿上的投资组合仅包含所有风险资产,也就是说我所配置的风险资产都是在有效前沿上的(我们常说的可行集的右边达不到说的是:投资风险资产不能达到)
而cml是无风险资产和风险资产M
也就是说现在我的投资组合是P=权重*无风险资产+M*权重。
即我所投资的风险资产M都在马科维茨有效前沿上,无论我怎么改变权重这条线上所有的组合都是有效组合(我现在只面临系统性风险,无风险资产不会对我有影响)all efficient portfolios would lie along the capital market line(原版书)
所以说在引入无风险资产后,马科维茨有效前沿就变成了cml
原版书中并未明确提及,但在notes中说道:Because the expected return and portfolio standard deviation of the combination of a risk-free asset and risky portfolio are both linear, the efficient frontier reduces to a linear equation. That is, by including the risk-free asset, we have caused the efficient frontier to become a straight line. The equation for the efficient frontier becomes the capital market line (CML).
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