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sherry_lee · 2021年05月19日

monthly standard deviation

NO.PZ2019012201000065

问题如下:

Based on Exhibit 2, theportion of total portfolio risk that is explained by the market factor in Fund1’s existing portfolio is closest to:

选项:

A.

3%

B.

81%

C.

87%

解释:

The portion oftotal portfolio risk explained by the market factor is calculated in two steps.The first step is to calculate the contribution of the market factor to totalportfolio variance as follows:


Where

CVmarket factor = contribution of the market factor to totalportfolio variance

xmarket factor = weight of the market factor in theportfolio

xj = weight of factor j in the portfolio

Cmf,j = covariance between the market factor and factor j

The variance attributed to the market factor is as follows:

CVmarket factor = (1.080 × 0.00109 × 1.080) + (1.080 ×0.00053 × 0.098) + (1.080 × 0.00022 × –0.401) + (1.080 × –0.00025 × 0.034)

CVmarket factor = 0.001223

The second step isto divide the resulting variance attributed to the market factor by theportfolio variance of returns, which is the square of the standard deviation ofreturns:

Portion of totalportfolio risk explained by the market factor = 0.001223/(0.0374)2

Portion of totalportfolio risk explained by the market factor = 87%

monthly standard deviation不用乘以12吗?

1 个答案

maggie_品职助教 · 2021年05月20日

嗨,爱思考的PZer你好:


不用啦。从原版书的例题到课后题都给的是月数据,答案都没有进行年化处理,我理解考试也会和这些题目保持一致。此外,三级考试的重点已经不再细扣这些数据转化的问题了,特别是权益在三级主要以掌握定性结论为主,定量的要求不高。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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