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Nancy 王悦 · 2020年05月12日

问一道题:NO.PZ2018070201000062 [ CFA I ]

问题如下:

Laurel, an manager from an investment company, recently constructs the following portfolio, assuming that the two assets are not relevant, what is the expected standard deviation if the two assets are equal-weighted:

选项:

A.

8.00%.

B.

10.00%.

C.

12.00%.

解释:

Each stock contains the same weight in the equal-weighted portfolio, so ω1=ω2=0.5

σport=ω12σ12+ω22σ22+2·ω1ω2·ρ·σ1σ2=(0.5)2(16%)2+(0.5)2(12%)2+2×0.5×0.5×0×16%×12%=10%

不太明白这道题怎么做cov同等权重在这里怎么理解?

2 个答案

Kiko_品职助教 · 2022年03月26日

嗨,爱思考的PZer你好:


是的,只是按照常规公式代入的话那段算出来就是0,是一样的。

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丹丹_品职答疑助手 · 2020年05月12日

嗨,努力学习的PZer你好:


同学你好,题干中说了是two assets are not relevant,,所以两个资产的cov应该是0。请知悉


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小蜜蜂jj1 · 2022年03月26日

cov等于0为什么后面的2w1w2那一段还计算呢?不应该只有两个平方相加吗

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