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Sallyrrr · 2024年03月26日

Standard deviation是怎么算的?

NO.PZ2015121802000031

问题如下:

An portfolio is constructed as 65% on risky assets with expected return of 12% and standard deviation of 10.15%, and 35% on risk-free assets with a 3% return. What is the expected return and standard deviation of his portfolio?

选项:

Expected return
Standard deviation
A.
6.25%
5.56%
B.
8.85%
6.60%
C.
10.25%
8.90%

解释:

B is correct.

Expected return: (0.65 x 0.12) + (0.35 x 0.03) = 0.0885, or 8.85%.

Standard deviation: 0.65 x 0.1015 = 0.0660, or 6.60%.

1 个答案

Kiko_品职助教 · 2024年03月26日

嗨,努力学习的PZer你好:


无风险资产没有风险,它的标准差等于0。

求组合的标准差是要用到我截图里面的公式,因为无风险资产的标准差等于0,所以 σp=w1*σ1

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