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岳同学2020-03-11 16:42:49

請問在原版書中 reading 25. Q6. 的解答中 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. cross-correlation 越低不是代表 risk to the total portfolio 越低嗎? 為什麼是 contribute more to active risk than the two-stock position that it replaced? 請問是因為 portfolio beta 偏離了 benchmark 的關係嗎?

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Dean2020-03-11 17:20:53

同学你好,因为题干这两只股票一个是高配一个是低配。或者可以理解为多long 和多short 了一只股票。那如果相关性高的话,这两者一涨一跌是可以弥补的。比如价格上涨,那多long的头寸获利1元,多short 的头寸损失1元,这两者是可以抵消的。
而如果相关性比较低,一只下降,另一只变化不一定,有可能也出现下降。所以从主动风险角度来看其对benchmark的偏离是更大的。

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