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Randia · 2025年07月03日

请问这道题的知识点在哪里呢

* 问题详情,请 查看题干

NO.PZ201809170400000504

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:

C is correct.

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:

CVmarket  factor=j=1nXmarket  factorXjCmf,jCV_{market\;factor}={\textstyle\sum_{j=1}^n}X_{market\;factor}X_jC_{mf,j}

=Xmarket  factorj=1nXjCmf,j=X_{market\;factor}{\textstyle\sum_{j=1}^n}X_jC_{mf,j}

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%

RT

1 个答案

笛子_品职助教 · 2025年07月04日

嗨,爱思考的PZer你好:


请问这道题的知识点在哪里呢

Hello,亲爱的同学~

这道题的知识点是在一道例题里。


具体来说是Equity Pathway部分的risk contribution知识点(contribution to total portfolio variace)


例题内容如下:




这类习题的解法都和这道例题是完全一样的,是固定计算解法。

同学可以看看对应例题的视频。


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