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pseudonym · 2023年11月29日

active return可以理解为active weight吗

NO.PZ2023010903000073

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.


如题,active return可以理解为active weight吗?答案里一会用active return一会用active weight

1 个答案

笛子_品职助教 · 2023年11月30日

嗨,爱思考的PZer你好:


如题,active return可以理解为active weight吗?

Hello,亲爱的同学~

我们看公式:

active return = portfolio return - benchmark return。

active weight = portfolio weight - benchmark weight

这两者是不一样的哦,是两个概念的。


答案里一会用active return一会用active weight

答案解析的含义是:增加active weight(体现为增加了active risk),并不一定能同比例增加active return。



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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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