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金融民工阿聪 · 2022年02月14日

为什么BR可以直接等同于选股数量?

NO.PZ2015121810000015

问题如下:

Based on the fundamental law of active management, if a portfolio manager has an information ratio of 0.75, an information coefficient of 0.1819, and a transfer coefficient of 1.0, how many securities are in the portfolio manager’s fund, making the assumption that the active returns are uncorrelated.

选项:

A.

About 2

B.

About 4

C.

About 17

解释:

C is correct.

Using the equation IR=IC×BRIR\ast=IC\times\sqrt{BR} and assuming that breadth can be interpreted as number of securities in the portfolio, solving for breadth in the equation above yields (0.750.1819)2{(\frac{0.75}{0.1819})}^2 = 17.000.

考点:the full fundamental law

解析:根据IR=TC×IC×BRIR=TC\times IC\times\sqrt{BR},IR=0.75,IC=0.1819,TC=1,因此BR=17。

assuming that breadth can be interpreted as number of securities,这句话是代表了BR其实定义就是选股数量?

1 个答案

星星_品职助教 · 2022年02月14日

同学你好,

当每次选股都是独立的时候。相当于每选一次股,就做了一次独立决策。这时候BR就等于选股数量。

如果选股之间相互影响,此时不能认为BR=选股数量。