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rikkisong72 · 2017年07月24日

问一道题:NO.PZ2015121802000023

这道题我是选对为B 的,但是不理解答案为什么说当correlation coefficient为-1的时候,portfolio variance为0?谢谢!


问题如下图:

    

选项:

A.

B.

C.

解释:



1 个答案
已采纳答案

源_品职助教 · 2017年07月24日

解答意思是指组合中的资产相关系数为-1时,可以构建方差为0的组合,即可以存在组合收益方差为0的情况(但并不是在此情况下所有组合收益的方差都为0

举例:假设一个组合包含A,B两种资产,并且资产AB所占组合的权重同为50%,那么此时又由于AB间的相关系数为-1。所以不管市场行情如何变化,A资产的收益涨(跌)多少,B资产的收益就跌(张)多少,AB资产所构成的组合收益始终为0,收益的方差自然也为0(没有波动)。

不谢。

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