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JoannaHan · 2022年02月11日

计算absolute risk contribution时,公式中的weight,这里为何用coefficient代替?

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%

计算absolute risk contribution时,公式中的weight,这里为何用coefficient代替?

1 个答案

笛子_品职助教 · 2022年02月11日

嗨,从没放弃的小努力你好:


计算absolute risk contribution时,公式中的weight,这里为何用coefficient代替?


因子系数,就是因子的权重。


仔细理解一下,两者的趋同性:

一个组合投了3个股票,每个股票的权重是,weight1,weight2,weight3

一个组合头了3个因子,每个因子的权重,就是因子系数,分别是,coefficient1,coefficient2,coefficient3。


所以是一个东西。

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