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ireneyyh · 2019年11月02日

问一道题:NO.PZ2015121801000068

问题如下:

An analyst has made the following return projections for each of three possible outcomes with an equal likelihood of occurrence:

If the analyst constructs two-asset portfolios that are equally weighted, which pair of assets provides the least amount of risk reduction?

选项:

A.

Asset 1 and Asset 2.

B.

Asset 1 and Asset 3.

C.

Asset 2 and Asset 3.

解释:

A  is correct.

An equally weighted portfolio of Asset 1 and Asset 2 has the highest level of volatility of the three pairs. All three pairs have the same expected return; however, the portfolio of Asset 1 and Asset 2 provides the least amount of risk reduction.

不是应该选相关系数绝对值最大的吗?

1 个答案

星星_品职助教 · 2019年11月02日

同学你好,

相关系数绝对值最大,指的是这两组资产的线性相关关系最强,例如ρ= -0.7的线性相关性强于ρ=+0.2。

这道题是考察分散化效果,负相关性越强,分散化效果才会更好,正相关性强不利于分散化,如果两个资产相关系数为+1,则没有分散化效果。这道题资产1,2 的相关系数为0.5,;2,3的相关系数为-1;1,3的相关系数为-0.5。所以分散化效果最差的是1,2;最好的是2,3的组合。

这道题本身不是一个常见的考法,掌握隐含的知识点即可,再就是考点不要混淆了。加油

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