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胖妞儿也很努力呀 · 2021年07月02日

对题目有疑问

NO.PZ2019012201000065

问题如下:

Based on Exhibit 2, theportion of total portfolio risk that is explained by the market factor in Fund1’s existing portfolio is closest to:

选项:

A.

3%

B.

81%

C.

87%

解释:

The portion oftotal 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 totalportfolio variance as follows:


Where

CVmarket factor = contribution of the market factor to totalportfolio variance

xmarket factor = weight of the market factor in theportfolio

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

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

Portion of totalportfolio risk explained by the market factor = 87%

这道题目coefficient那一行加起来也不是1啊,total portfolio weight不一定是1?

1 个答案

伯恩_品职助教 · 2021年07月02日

嗨,努力学习的PZer你好:


同学你好,

这道题目coefficient那一行加起来也不是1啊,——是的,这里不是1,因为这一行并不是Portfolio Weight,而是coefficient,是系数。Portfolio

Weight

total portfolio weight不一定是1?——这个一定是1.

这里是把比例弄成系数了,相当于生成的系数。这块不用太在意,按照协会给的方法去解决就行。加油。

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

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