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ditto · 2023年09月10日

diversification benefits 和组合分散程度的关系

NO.PZ2017092702000071

问题如下:

All else being equal, as the correlation between two assets approaches +1.0, the diversification benefits:

选项:

A.

decrease.

B.

stay the same.

C.

increase.

解释:

A is correct.

As the correlation between two assets approaches +1, diversification benefits decrease. In other words, an increasingly positive correlation indicates an increasingly strong positive linear relationship and fewer diversification benefits.

ρ越大,组合方差σp的平方就越大,也就是风险越大。所以根据题干描述,当ρ逐渐向+1增加时,分散化的效果会越来越差

这道题的意思是或, 在组合越分散的情况下, diversification benefits 越大吗, 为什么呢?

1 个答案
已采纳答案

星星_品职助教 · 2023年09月12日

同学你好,

这道题的意思是相关系数越大,组合方差越大,即风险越大。风险大就说明分散化(diversification benefits)的好处小。

以最常用的两资产组合方差公式为例。可看出,当相关系数ρ=+1时,组合方差最大。同理,当相关系数ρ=-1时,组合方差最小。


数量中只是给出公式,分散化和资产组合的概念主要会在portfolio科目中讲解。

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