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Ryoooh · 2020年08月29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%

你好,看了老师对其他同学的回答,想请问“risk factor角度出发,coefficient系数也可以理解为是这个因子的weight”这个知识点出现在第几章呀?想回去巩固一些,谢谢

2 个答案

maggie_品职助教 · 2020年09月15日

同学你好,这里和我们上课讲过的例子稍稍有些不同,我们上课讲的例子是以资产来看的,所以计算的是资产的weighting,方差和相关系数,而这个题目是从risk factor的角度来看的,是把收益回归成以risk factor为变量的方程,方程可以表达为y=a+1.08*market factor+0.098*size factor-0.401*Value factor+0.034*Momentum factor+E,coefficient系数就是这个因子的变动程度,也可以理解为是这个因子的weight.

maggie_品职助教 · 2020年08月30日

这里上课没有讲,可以参考原版书P500页例题5。这里如果考到也不会有新的花样,因此不需要深挖,只要把例题和课后题计算思路掌握好就行了。

Candice000 · 2020年09月14日

可以请老师解释一下为什么weight和coefficient在这道题里是等同的吗?谢谢

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