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六姑娘 · 2023年08月03日

这句话怎么理解?

NO.PZ2023021601000008

问题如下:

With respect to an equally-weighted portfolio made up of a large number of assets, which of the following contributes the most to the volatility of the portfolio?

选项:

A.Average variance of the individual assets. B.Standard deviation of the individual assets. C.Average covariance between all pairs of assets.

解释:

The co-movement measures between the assets increases (i.e., covariance and correlation) as the number of assets in the equally weighted portfolio increases. The contribution of each individual asset’s variance (or standard deviation) to the portfolio’s volatility decreases as the number of assets in the equally weighted portfolio increases. The following equation for the variance of an equally weighted portfolio illustrates these points:


The contribution of each individual asset’s variance (or standard deviation) to the portfolio’s volatility decreases as the number of assets in the equally weighted portfolio increases. 

1 个答案

Kiko_品职助教 · 2023年08月03日

嗨,努力学习的PZer你好:


这句话的意思就是公式里面的N越大,σ²对于σp²的影响就越小。N趋近于无穷大的时候,加号左边的式子就趋近于0了,对σp²的贡献程度就几乎没有了。

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努力的时光都是限量版,加油!

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