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WINWIN8 · 2022年08月18日

那么图表里的active risk什么意思呢?

NO.PZ2015121810000018

问题如下:

An analyst is given the following information about a portfolio and its benchmark. In particular, the analyst is concerned that the portfolio is a closet index fund.1 The T-bill return chosen to represent the risk-free rate is 0.50%.

Which of the following three statements does not justify your belief that the portfolio is a closet index?

I. The Sharpe ratio of the portfolio is close to the Sharpe ratio of the benchmark.

II. The information ratio of the portfolio is relatively small.

III. The active risk of the portfolio is very low.

选项:

A.

Statement I

B.

Statement II

C.

Statement III

解释:

B is correct.

A closet index will have a very low active risk and will also have a Sharpe ratio very close to the benchmark. Therefore, Statements I and III are consistent with a closet index portfolio. A closet index’s information ratio can be indeterminate (because the active risk is so low), and often negative due to management fees.

考点: closet index fund

解析: closet index fund声称自己是积极主动管理的,但投资的股票、股票的权重都与benchmark非常接近。

Statement I 描述正确,因为投资的股票和股票的权重与benchmark接近,因此计算得出的Sharpe ratio也是接近的。

Statement III描述正确,因为投资的股票和股票的权重与benchmark接近,因此计算得出的active risk接近于0。

Statement II,因为IR=active return/active risk,而closet index fund的activer return和active risk都接近于0,如果active risk远小于activer return,那么IR就可能是非常大的数值。  而一旦active returncloset index fund的IR还有可能出现负数。所以IR结果如何是无法确定的。

请问图表里 portfolio active risk and active return 指的是portfolio和谁的active risk/return呢? 还是说这只是个干扰项?

2 个答案
已采纳答案

星星_品职助教 · 2022年08月19日

@STRENGTH8

选项要求根据表格中已知Portfolio的active risk和IR的数值,来判断这个Portfolio是不是实际上是一个被动投资的closet index fund。

1)benchmark的active risk是0,如果Portfolio的active risk也是0,或者和0很接近,就说明Portfolio的投资实际上和benchmark一样。本题Portfolio的active risk只有0.79%,可以看出来这个Portfolio的主动管理成分并不高。

2)IR并不能佐证一个Portfolio是否为closet index fund。Closet index fund的IR数值不确定,可能很大,也可能很小。所以表格中的IR=0.1896不能说明问题。

星星_品职助教 · 2022年08月19日

同学你好,

active return是用Portfolio和benchmark比。

Active return=Rp-Rb;Active risk是active return的标准差。

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