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Pepe · 2019年04月17日

问一道题:NO.PZ201809170400000505 第5小题

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问题如下图:

    

选项:

A.

B.

C.

解释:


如题,如果无成本限制等,在完美情形下,scale up Information ratio 不变。这里想和Sharp ratio can be gamed做一个对比,Sharp ratio时间拉长,eg 从月到年,相当于分子return增长12倍,但分母standard deviation 未同比例增长,只增长了genghao根号12倍,导致Sharp ratio变大。这两个知识点感觉从数学原理上是一样的,为什么导出结果 一个是不变 一个是变大呢?求指点。

1 个答案

maggie_品职助教 · 2019年04月18日

不管是IR还是SR,月度数据变成年度数据都应该是保持不变的(因为时间拉的越长,相当于总共承担的风险也越大),SR比率会随着计算时间拉长呈平方根的速度增长这是用夏普比率衡量HF最大的缺点之一,因为他相当于假设前一期的波动和下一期的波动是不相关的(这是不现实的),因此SR can be gamed。

而这里IR不能一直保持不变(不是时间拉成造成的),是因为一些策略是有限制的,承担一单位风险不能获得等比例收益即上述图形是非线性(concave)这是实证检验的结果。


粉红豹 · 2020年01月12日

老师,这里的“用夏普比率衡量HF” 中的HF是什么啊?

maggie_品职助教 · 2020年01月14日

hedge fund的简称

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