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文志(Wenzhi) · 2023年07月22日

能否详细讲解一下

NO.PZ2022081802000023

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:

Solution

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.

题目没读懂,哪个知识点 谢谢

1 个答案

Kiko_品职助教 · 2023年07月24日

嗨,爱思考的PZer你好:


题目问的是哪对资产组合后风险减小是最小的。其实要问的就是,哪对资产组合后分散化效果是最差的。那么根据资产组合标准差的公式,可以推断出,要找哪两对资产收益率的相关性系数是最大的。

用计算器7,8功能键可以算得,1,2的相关系数为0.5;1,3 的相关系数为-0.5;2,3的相关系数为-1。所以1,2的相关系数最高,分散化最差,波动最大。

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