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Liang · 2024年07月14日

哪个考点?

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%

这题是对应PPT上面哪个考点?没找到

2 个答案

笛子_品职助教 · 2024年07月15日

嗨,从没放弃的小努力你好:


看明白了,谢谢。 还有个问题:Portion of total portfolio risk explained by the market factor = 0.001223/(0.0374)2 这里为啥0.0374需要除以2

(0.0374)2是(0.0374)的平方。

正确写法是: 0.001223 / (0.0374*0.0374)

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笛子_品职助教 · 2024年07月14日

嗨,从没放弃的小努力你好:


Hello,亲爱的同学~

同学注意一下CFA的教材编写方式。

我们国内的教科书,一般会把知识点,写进正文,然后例题,只是巩固这个知识点。

但CFA,知识点并不一定写在正文里,CFA的例题,可以出现新的知识点。


这题的知识点,就是以原版书例题的形式出现的。正文里是找不到知识点的。

本题对应知识点的位置在基础讲义248-249页。




例题用的是股票weight,这里给的是coefficient(coefficient又称为因子weight),这两者是一致的,没有差异。

例题和习题的回归形式是一致的

例题:R = w1*S1+ ...+ wn*Sn

本题:R = C1*F1+.....+ Cn*Fn

股票1收益S1就对应因子1的收益F1。

股票1权重W1就对应因子1的权重C1。


同学可以找到基础讲义对应内容的视频,先听一听。

听完后,如果还有问题,也欢迎随时提问,祝学习顺利~

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努力的时光都是限量版,加油!

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