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shirley_hd · 2020年02月26日

问一道题:NO.PZ2019012201000065

问题如下:

Based on Exhibit 2, the portion of total portfolio risk that is explained by the market factor in Fund 1’s existing portfolio is closest to:

选项:

A.

3%

B.

81%

C.

87%

解释:

The portion of total 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 total portfolio variance as follows:


Where

CVmarket factor = contribution of the market factor to total portfolio variance

xmarket factor = weight of the market factor in the portfolio

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 is to divide the resulting variance attributed to the market factor by the portfolio variance of returns, which is the square of the standard deviation of returns:

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

Portion of total portfolio risk explained by the market factor = 87%

coefficient如果理解成weight的话,计算时候还用加%吗?另外各个coefficient相加需要等于1么?

1 个答案
已采纳答案

maggie_品职助教 · 2020年02月27日

嗨,努力学习的PZer你好:


1、不需要啦。数据不带%,我们计算就不用带。如果需要%,表格里会告诉你的。

2、这道题比较贴近实务,请看表格的标题,它只是FUND1截取的数据,所以权重加总可能不等于1(还有其他因子但是题目为了简化,所以没有全部列出)。此外,我们只需要根据题干给出的信息来计算就可以啦。


-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


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