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Chasechoi · 2022年08月18日

为啥IR lower?

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.


为啥IR lower?是因为做不了空,波动变大?

1 个答案

笛子_品职助教 · 2022年08月18日

嗨,努力学习的PZer你好:


为啥IR lower?

因为有一些执行限制。


是因为做不了空,波动变大?

理解正确。

在做空上有限制。

波动太大,但是portfolio会有一些绝对风险控制,导致oppotunities的分散化不足。


这段知识点主要是为了引起Rg和Ra的公式,也就是强化讲义画橙色线的公式。



见强化讲义27页公式

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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