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必过1030_ · 2020年01月04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%

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)

这步是什么意思啊?

2 个答案

必过1030_ · 2020年01月07日

例题是用权重乘以cov或者var啊

maggie_品职助教 · 2020年01月07日

这里的coefficient就是权重,1.08相当于我买了108%。

粉红豹 · 2020年01月11日

老师,表格中的“variance of market return and covariance with the market factor return” 这个,到底是covariance with the market factor return? 还是variance of market return啊?为什么合起来表达啊?

maggie_品职助教 · 2020年01月14日

这样列是为了简便,因为这道题只需要计算市场因子,所以题目省略了其它数据。自己和自己的协方差不就是方差吗,所以除了第一个数,其它都是协方差。

maggie_品职助教 · 2020年01月06日

我们这一步计算的是市场风险因子对于整个组合的风险贡献度。咱们基础班是有一样的例题的,如果不明白建议看听一下基础班的课程(讲义247页)。

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