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Celestine · 2021年06月06日

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%

请问表格第三行variance of the market factor return and covariance with the market factor return是什么意思?这道题用李老师的九宫格法不知道该怎么解,表格中哪个代表权重,哪个代表风险?

2 个答案

伯恩_品职助教 · 2021年08月07日

嗨,努力学习的PZer你好:


其实严格意义上说,coefficient不能代表权重。但是书上的例子就是这么举例。只能这么套公式。

另外可以用一个大概的方式去解释一下,不懂的话真的就强记住吧,人家拿着判断对错的大权,只能按照他们的逻辑。

coefficient意思是系数,你可以理解为对某个东西的影响(或者关联的关系)的比例值。有的影响只有一半,就是0.5,有的影响是2倍,就是2.这和权重不是异曲同工之效嘛。这样理解了吗?

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

伯恩_品职助教 · 2021年06月07日

嗨,努力学习的PZer你好:


同学你好,variance of the market factor return and covariance with the market factor return的意思是市场因素回报的方差和与市场因素回报的协方差。

同学你好,这个代表的是权重,

这个代表协方差

然后套公式解题就行



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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

Sharon Shi~~~ · 2021年08月07日

老师请问一下为什么coefficient可以代表权重?

v2.1 · 2021年09月29日

variance of the market factor return and covariance with the market factor return的意思是市场因素回报的方差和与市场因素回报的协方差。这路里为什么仅体现了covoraince,没体现variance?

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