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Tse0507 · 2021年03月30日

相关系数的性质

NO.PZ2018062016000071

问题如下:

When the correlation between two stocks decreases from 0 to -1, the diversification benefit will:

选项:

A.

increase.

B.

decrease.

C.

remain the same.

解释:

A is correct. As the correlation between two stocks decreases, diversification effect may enhance and diversification benefit will increase.

过往解析里写到,当相关系数为负1,可以找到使标准差为0的组合,这是什么意思,谢谢

1 个答案

星星_品职助教 · 2021年03月30日

同学你好,

通过下图两资产组合的方差可知,当ρ<0时,组合方差就会降低,起到了分散化效果。

当ρ=-1时,开方后可得σp=w1σ1-w2σ2,这个等式是可以等于0的,即“当相关系数为负1,可以找到使标准差为0的组合”


从图像上也可以迅速判断,当ρ=-1时,下图对应的图像是左侧的那两条蓝色的折线,可以看到存在一个和Y轴的交点,此时组合方差即为0.

---------------------

此外,当提到“过往解析里写到”的时候,需要复制一下过往的解析或者截图,不然过往的解析十几条,助教不知道学员针对的是哪一条的。

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