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大蒙 · 2018年11月06日

问一道题:NO.PZ2015121801000068 [ CFA I ]

问题如下图:



老师你好,关于相关系数的知识点好像有点遗忘了。

数量里说相关系数的绝对值越小,代表线性关系越弱。

但是做组合题目的时候,相关系数=-1,反而是组合分散风险最有利的情况。

比如这题的相关系数分别是0.5,-0.5,-1,不是单纯看绝对值选择,而是选择了0.5。

那通常是什么样的提问,会只是根据绝对值大小来选择强弱呢?




    

选项:

A.

B.

C.

解释:



1 个答案
已采纳答案

Shimin_CPA税法主讲、CFA教研 · 2018年11月06日

组合中的风险是由standard deviation来衡量的。假设两资产做组合,根据公式,

当correlation=-1时,portfolio standard devation最小,风险最小,所以分散化效果最好。也就是说,资产之间的线性关系不是越弱越好的。

“相关系数的绝对值越小,代表线性关系越弱。”这是任何提问下,都成立的结论。

 

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