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西红柿面 · 2025年04月28日

还是不懂

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NO.PZ202207040100000803

问题如下:

In Lazare and Warrack’s comments about Active Share and active risk, the comment that is least accurate is the one concerning:

选项:

A.portfolio diversification. B.neutralizing factor exposure. C.increasing idiosyncratic volatility.

解释:

Solution

B is correct. The comment concerning neutralizing factor exposure is incorrect: In a single-factor model, if the factor exposure is neutralized, the active risk will be entirely attributable to the Active Share—a consequence of the manager deviating from benchmark weights. The active risk attributed to Active Share will be smaller for more diversified portfolios with lower idiosyncratic risk. Active risk does rise with an increase in factor and idiosyncratic volatility.

A is incorrect. The active risk attributed to Active Share will be smaller for more diversified portfolios with lower idiosyncratic risk.

C is incorrect. Active risk does rise with an increase in factor and idiosyncratic volatility.

中文解析:

本题考查的是大家对于Active Share and Active Risk的理解。

需要特别注意的是选项的顺序和题干小点的顺序不一致。三个描述中的第三个小点(即选项B)的说法有误,正确的说法应该是If the factor exposure is fully neutralized, the active risk will be entirely attributed to the active Share. 它错在active Shareactive Risk写反了。这句话描述的是因子的full neutralized,即组合在承担因子这个层面已经是充分分散化了(风险因子的attributionbenchmark几乎一样),但此时还有active Risk说明组合的return依然和benchmark不一样,那就只有一种可能,就是基金经理买的股票 benchmark不同但行业选的和benchmark是类似的即那这种情况下产生AR只可能源于active share。打个比方,组合和benchmark都看好房地产,但组合投金地,而benchmark投万科。

The level of active risk will rise with an increase in factor and idiosyncratic volatility。当组合的因子更加集中(非系统性风险上升),组合与benchmark更不像,active risk也就跟着上升。这个描述是正确的。

The active risk attributed to Active Share will be smaller in more diversified portfolios. 如果组合的分散化非常好,说明它包含股票数量很多,非系统性风险很小。此时组合和benchmark 应该很像,如果仍存在差别(只要有差别就有active risk, 而组合已经包含了大量的股票,那么由于AS带来的active risk就非常小了。这个描述也是正确的。

The active risk attributed to Active Share will be smaller in more diversified portfolios.

如果组合风险因子是高度分散化(Fully neutralized)的,Active Risk可能全都是由于Active Share引起的(因为ρ≈1),这句话不就是错的吗??我都充分分散花了,那么只能是由于Active share引起的呀?

1 个答案

笛子_品职助教 · 2025年04月29日

嗨,爱思考的PZer你好:


如果组合风险因子是高度分散化(Fully neutralized)的,Active Risk可能全都是由于Active Share引起的(因为ρ≈1),这句话不就是错的吗??我都充分分散花了,那么只能是由于Active share引起的呀?

以上是同学的理解。

同学的这个理解是正确的。

如果风险因子是中性的,那么确实,active risk全部来自active share。

同学所理解的,这也就是基础讲义上,红框里的这句话。


但是本题的陈述,并不是同学所理解的这个意思。



我们看本题陈述,本题的意思是:如果风险因子是中性的,则active share全部来自active risk。be attributed to 是被动句哦。

注意,基础讲义上红框里的句子,和本题红框里句子,这两者的区别。题目陈述与讲义陈述,把active share与active risk调换了位置。


所以本题的陈述和同学的理解,正好相反。

因为同学的理解是正确的,因此本题陈述是错误的,题干要求选least likely,因此选B。

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