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哒哒哒哒 · 2024年07月31日

怎么判断risk reduction

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.

这个题怎么判断risk deduction 用计算器的话

1 个答案

Kiko_品职助教 · 2024年07月31日

嗨,努力学习的PZer你好:


risk reduction指的是风险变小,风险越小,分散化效果越好。 least amount of risk reduction就是相反的意思,要找最不能减小风险的,也就是找风险最大的,分散化效果最差的。根据组合方差的公式可以得出,两两资产之间的相关系数越高,那么分散化效果越差,于是RISK REDUNTION也就越小。所以这道题就变成了找相关系数最大的组合。

以1、2资产的相关性计算为例,使用计算器:

[2nd][7]进入data模式,依次输入X01=12,Y01=12;X02=0,Y02=6;X03=6,Y03=0,

然后[2nd][8]进入STAT模式,一直按下箭头,直到屏幕出现r=,算出来是0.5。说明两组数据的相关性=0.5。依次算1和3和2和3资产。最后得出12之间的相关系数最大。选A

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