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Baober731 · 2024年07月06日

请问coefficient是回归系数,为什么代表了每个资产的权重?

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%

请问coefficient是回归系数,为什么代表了每个资产的权重?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) 答案中直接用的是coefficient数值作为权重带入计算的是吗

1 个答案

笛子_品职助教 · 2024年07月08日

嗨,从没放弃的小努力你好:


请问coefficient是回归系数,为什么代表了每个资产的权重?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) 答案中直接用的是coefficient数值作为权重带入计算的是吗

当分析portfolio里的股票时,使用weight。

当分析portfolio里的因子时,使用coefficient。

coefficient是回归系数,又称为因子权重。

Factor,对应coefficient 。

如果有别的单词,例如Factor weight,也可以使用,和coefficient 是一个意思。

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