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izzyli · 2023年10月28日

如题

NO.PZ2023040601000105

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. 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:

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.

帮忙解释一下为何IR是不确定的?谢谢。

1 个答案
已采纳答案

星星_品职助教 · 2023年10月28日

同学你好,

IR=active return / active risk。对于closet index fund,active return和active risk都非常低,如果active risk极小,那么IR结果可能很大。反之active risk若相对active return较大,则IR结果就会很小,所以最后的比值结果是不确定的。

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