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双 · 2023年10月03日

C

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.


short受限,那对保证金要求低,为什么C不对

1 个答案

笛子_品职助教 · 2023年10月06日

嗨,从没放弃的小努力你好:


short受限,那对保证金要求低,为什么C不对

同学本身的这个理解没有问题,short受限,short仓位变少,自然因为short所需要缴纳的保证金也就变少了。

但是本题并没有涉及到这个问题。或者本题的题意,和同学所说“short受限”的,不是一个方面。


本题的意思是:随着杠杆的增加,收益会如何变化。


这个杠杆,可以是纯多头加杠杆,也可以是空头加杠杆。只要是借了其他人的钱或者股票,有“借”这个行为,就算是加杠杆。


我们知道,保证金比例是固定的,例如5%。


借了100万,保证金就要缴纳5万。借了200万,保证金就要缴纳10万。因此,随着杠杆增加(也就是借钱的数量越来越多),所需要保证金的绝对金额也是越来越大。


因此C选项说,借的钱越多,需要缴纳的保证金(collateral requirement)就越少,这个说法不正确。


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