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jojo · 2024年07月18日

知识框架图里把leverage归类到绝对风险=sharpe ratio不是吗?

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.


知识框架图85页:limitations of returns achieved by bearing risk下面有三点

  1. implementation constrains属于IR 相对风险
  2. limited diversification opportunities
  3. leverage beyond volatility reduces expected returns

我记得李老师在基础班说2和3是和sharpe ratio绝对风险有关的。


如果上述正确,那么题目会不会让区别是IR还是sharpe ratio?谢谢

1 个答案
已采纳答案

笛子_品职助教 · 2024年07月19日

嗨,爱思考的PZer你好:


Hello,亲爱的同学~

从数学原理上来说,加杠杆后风险扩大,但收益不一定会随着风险的扩大而扩大。

无论是绝对的风险收益,还是相对的风险收益,这个规律都是存在的。


所以同学看如何表述。

如果是相对风险收益,就是IR。

如果是绝对风险收益,就是SR。

----------------------------------------------
努力的时光都是限量版,加油!

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