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wukefu · 2025年05月22日

题目是否有暗含的条件没有给出?

NO.PZ2019012201000035

问题如下:

Initially, Fund ABC held active positions in two real estate stocks—one was overweight by 1 %, and the other was underweight by 1%. Fund ABC traded back to benchmark weights on those two stocks. Then, ABC selected two different stocks that were held at benchmark weights, one automobile stock and one technology stock. ABC over-weighted the automobile stock by 1% and underweighted the technology stock by 1%. What was the effect of ABC’s two trades on its active risk? ABC’s active risk:

选项:

A.

decreased.

B.

remained unchanged.

C.

increased.

解释:

C is correct.

考点:Active Share and Active Risk

解析:主动风险受股票之间相关性的影响。不同行业的两只股票的相关性低于同一行业两只股票的相关性。因此,新头寸(汽车/科技股)的相关性低于初始头寸(房地产/房地产)的相关性。两只股票的相关性较低,两只股票头寸对主动风险的贡献就越大。

active risk 和weight 和 correlation都有关系。题目中的active weight 是没有变化的,唯一能解释答案的就是correlation变化了。

但是题目中并没有说,房地产行业的correlation 大于 科技&汽车行业的correlation(和bench market)啊?

所以为什么选择active risk 增加呢


1 个答案

笛子_品职助教 · 2025年05月23日

嗨,爱思考的PZer你好:


这里需要同学先掌握一个知识点:不同行业的两只股票的相关性低于同一行业两只股票的相关性。

结合本题:

portfolio与benchmark不同的2只股票,都是房地产行业。因为在同一个行业内部,因此相关性较高。

portfolio与benchmark不同的2只股票,一个是汽车,一个是科技。因为在不同的行业,因此相关性低。

相关性低的,active risk高。

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