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pepperhyp · 2023年08月16日

这道题用active share/active risk计算可以嘛?

NO.PZ2023010903000065

问题如下:

Another of Langham’s clients, Marianne Quint, sits on the investment committee of the Amity Island Endowment. The $2 billion equity portion of the Amity fund is invested using a global equity index approach. Quint has been charged with identifying an active equity fund to replace 20% of the indexed portfolio. Three candidate funds with similar performance histories, benchmarks, and fees have been identified. Based on the characteristics shown in Exhibit 3, Quint asks Langham to recommend the fund that has demonstrated the best risk-efficient delivery of results.

Langham also identifies the fund that could minimize the active risk of the total $2 billion Amity equity portfolio after replacement is complete.

From Exhibit 3, the replacement candidate fund that, if included, will most likely minimize the active risk of the final Amity equity fund is:

选项:

A.

Ash

B.

Blue

C.

March

解释:

Active risk is a measure of the volatility of portfolio returns relative to the volatility of benchmark returns. The Ash fund will most likely minimize the active risk when combined in the final Amity equity portfolio because of its high covariance with the present fund. The low-covariance funds may reduce overall portfolio volatility but not active risk.

B is incorrect. The low covariance with the Amity portfolio will lower the overall volatility of the fund but not the active risk, because active risk measures the volatility of portfolio returns relative to that of the benchmark: This will be achieved through the substitution of a high-fund.

C is incorrect. The low covariance with the Amity portfolio will lower the overall volatility of the fund but not the active risk, because active risk measures the volatility of portfolio returns relative to that of the benchmark: This will be achieved through the substitution of a high covariance fund.

如题,如果每个fund用active share/active risk计算,不是越大越好嘛?

2 个答案

笛子_品职助教 · 2023年08月17日

嗨,从没放弃的小努力你好:


那这种理解方式可不可行: 因为active risk表达的是相对风险,加入一个和fund covariance大的(和fund相关性大),那么这个相对风险就可以减少。 如果加入一个和fund covariance小的(和fund相关性小),则active risk就会变大?

可以这么理解。

因为本题是,AMity fund已经是很像benchmark了,现在要替换掉20% 的amity fund,组成一个新基金,要求新基金的active risk小。因此选一个和amity fund最像的就可以了。

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笛子_品职助教 · 2023年08月16日

嗨,从没放弃的小努力你好:


如题,如果每个fund用active share/active risk计算,不是越大越好嘛?

这里不行。

要选与amity fund,协方差最高的ASH。


同学这里要先理解这道题的含义。

这道题是说,Amity有很低的active risk。现在要把Amity基金中20%换成其他基金,也就是新组合为:80%Amity + 20%其他基金。要求这个新组合,也有很低的active risk。


问其他基金选哪个。


我们可以看到,原来的Amity就已经很好了,现在要换,只要换一个和Amity最像的,就可以了。

因此选ASH基金,它和Amity的相关性最大。

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