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三金 · 2021年03月26日

考点?

NO.PZ2019012201000074

问题如下:

Ap learns that Chiyodasenko has initiated a new equity fund. It is similar to Fund 1 but scales up active risk by doubling all of the active weights relative to Fund 1. The new fund aims to scale active return linearly with active risk, but implementation is problematic. Because of the cost and difficulty of borrowing some securities, the new fund cannot scale up its short positions to the same extent that it can scale up its long positions.

Relative to Fund 1, Chiyodasenko’s new equity fund will most likely exhibit a lower:

选项:

A.

information ratio

B.

idiosyncratic risk

C.

collateral requirement

解释:

As the new fund scales up active risk by doubling active weights, it will face implementation constraints that will prevent it from increasing the weights of many of its short positions. The information ratio (IR) is defined as the ratio of active return to active risk. If there were no constraints preventing the new fund from scaling up active weights, it could scale up active risk by scaling up active weights, proportionally increase active return, and keep the IR unchanged. Implementation constraints experienced by the new fund, however, such as the cost and difficulty in borrowing securities to support the scaled-up short positions, will prevent the active return from proportionally increasing with the active risk. Therefore, the IR would most likely be lower for the new fund than for Fund 1. As the following chart illustrates, as active risk is scaled up, implementation constraints create diminishing returns to scale for active returns, thereby degrading the IR.


看了题目、答案和其他同学的问答,还是不太明白本题考察的考点和需要辨析、记住的知识点。可否请老师讲解一下?


1 个答案

maggie_品职助教 · 2021年03月27日

嗨,努力学习的PZer你好:


1.这是咱们讲义249页这个知识点:决定风险水平(Determining the Appropriate Level of Risk)。如果没有印象了建议再去听一下这部分的视频。


2.我们知道只有承担风险才能获得收益,那是不是只要承担的风险越多,就能相应获得越高的收益?这道题就是问如果double AR是否能获得两倍的active return?

由于有投资限制(如题干很多股票你可能做空不了因为借不到或需要很高的成本才能借到),所以通过double的AR并不能获得两倍的active return。如上图所示IR随着你做决策的次数的上升会下降的(有点类似边际效应递减),即active risk都增加了,但是由于实际操作中的限制,你的实际收益并不能等比例上升,所以图中的直线越往后就越弯,即斜率(即IR)是随着active risk的增加而降低的。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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