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Spencer · 2022年06月20日

为何每个括号内都先乘以1.08?

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%

老师请问,为何在这个公式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)每个括号内都先乘以1.08?

2 个答案
已采纳答案

笛子_品职助教 · 2022年06月24日

嗨,爱思考的PZer你好:


是不是所有的market factor的权重都等于1.08呢?

在这道题里,是的。

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加油吧,让我们一起遇见更好的自己!

笛子_品职助教 · 2022年06月21日

嗨,努力学习的PZer你好:


这个题目就是书上的一道例题。是个固定算法。所有这类题目都是一个解题套路。

1.08可以看成是 market factor的权重。然后遵循以下基础讲义例题的解题套路。





这道题总结成如下笔记。





可以先看基础讲义截图,看不明白再看笔记,然后再看看对应视频。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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