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yan · 2024年12月25日

为什么低相关性,反而active risk会提高

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NO.PZ201809170400000506

问题如下:

As a result of Fund 3’s two trades, the portfolio’s active risk most likely:

选项:

A.

decreased.

B.

remained unchanged.

C.

increased.

解释:

C is correct. Active risk is affected by the degree of cross-correlation. The correlation of two stocks in different sectors is most likely lower than the correlation of two stocks in the same sector. Therefore, the correlation of the energy/financial pair is most likely lower than that of the automobile/automobile pair. Because both positions were implemented as an overweight and underweight, the lower correlation of the two stocks in the new position should contribute more to active risk than the two-stock position that it replaced.

为什么低相关性,反而active risk会提高

1 个答案

笛子_品职助教 · 2024年12月25日

嗨,从没放弃的小努力你好:


为什么低相关性,反而active risk会提高

Hello,亲爱的同学~

可以从active risk的计算公式来推理。

active risk,是(portfolio return - benchmark return)的标准差。

如果portfolio return与benchmark return一模一样,相关性为1,则portfolio return - benchmark return=0,一组都是0数据,这组数据 的标准差也是零。

此时active risk最小。

从上面的数学推理可以看出:portfolio return和benchmark return的相关性越大,active risk越小,呈现反向关系。

同样的反向关系,拓展到低相关性,可以得出:active risk高。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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