开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

魏丽aa · 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%

老师,这道题coefficient是当成weight吗,那为啥加一起不等于1呢

1 个答案

maggie_品职助教 · 2020年01月06日

是的,coefficient是每个因子的权重,请看表格的标题,它只是FUND1截取的数据,所以权重加总可能不等于1(还有其他因子但是题目为了简化,所以没有全部列出。

he123456 · 2020年01月19日

可是如果没有全部列出,那不是会影响这道题目的计算结果吗

maggie_品职助教 · 2020年01月21日

不会的,因为它给你的方差和协方差也只是这4四个因子之间的。这个地方不用担心哈,协会就是为方便大家做计算才做的简化。

  • 1

    回答
  • 0

    关注
  • 432

    浏览
相关问题

NO.PZ2019012201000065 问题如下 Baseon Exhibit 2, theportion of totportfolio risk this explainethe market factor in Fun’s existing portfolio is closest to: A.3% B.81% C.87% The portion oftotportfolio risk explainethe market factor is calculatein two steps.The first step is to calculate the contribution of the market factor to totalportfolio varianfollows:WhereCVmarket factor = contribution of the market factor to totalportfolio variancexmarket factor = weight of the market factor in theportfolioxj = weight of factor j in the portfolioCmf,j = covarianbetween the market factor anfactor jThe varianattributeto the market factor is 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 = 0.001223The seconstep isto vi the resulting varianattributeto the market factor theportfolio varianof returns, whiis the square of the stanrviation ofreturns:Portion of totalportfolio risk explainethe market factor = 0.001223/(0.0374)2Portion of totalportfolio risk explainethe market factor = 87% 这题是对应PPT上面哪个考点?没找到

2024-07-14 17:52 2 · 回答

NO.PZ2019012201000065 问题如下 Baseon Exhibit 2, theportion of totportfolio risk this explainethe market factor in Fun’s existing portfolio is closest to: A.3% B.81% C.87% The portion oftotportfolio risk explainethe market factor is calculatein two steps.The first step is to calculate the contribution of the market factor to totalportfolio varianfollows:WhereCVmarket factor = contribution of the market factor to totalportfolio variancexmarket factor = weight of the market factor in theportfolioxj = weight of factor j in the portfolioCmf,j = covarianbetween the market factor anfactor jThe varianattributeto the market factor is 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 = 0.001223The seconstep isto vi the resulting varianattributeto the market factor theportfolio varianof returns, whiis the square of the stanrviation ofreturns:Portion of totalportfolio risk explainethe market factor = 0.001223/(0.0374)2Portion of totalportfolio risk explainethe market factor = 87% 请问coefficient是回归系数,为什么代表了每个资产的权重?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) 答案中直接用的是coefficient数值作为权重带入计算的是吗

2024-07-06 17:32 1 · 回答

NO.PZ2019012201000065 问题如下 Baseon Exhibit 2, theportion of totportfolio risk this explainethe market factor in Fun’s existing portfolio is closest to: A.3% B.81% C.87% The portion oftotportfolio risk explainethe market factor is calculatein two steps.The first step is to calculate the contribution of the market factor to totalportfolio varianfollows:WhereCVmarket factor = contribution of the market factor to totalportfolio variancexmarket factor = weight of the market factor in theportfolioxj = weight of factor j in the portfolioCmf,j = covarianbetween the market factor anfactor jThe varianattributeto the market factor is 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 = 0.001223The seconstep isto vi the resulting varianattributeto the market factor theportfolio varianof returns, whiis the square of the stanrviation ofreturns:Portion of totalportfolio risk explainethe market factor = 0.001223/(0.0374)2Portion of totalportfolio risk explainethe market factor = 87% 问的是portion of totportfolio risk, 为什么不可以把CV=0.001223开根号取Stanrviation的3.4971%, 最后3.4971/3.74=93.51%

2024-06-25 22:02 1 · 回答

NO.PZ2019012201000065问题如下 Baseon Exhibit 2, theportion of totportfolio risk this explainethe market factor in Fun’s existing portfolio is closest to:A.3% B.81% C.87% The portion oftotportfolio risk explainethe market factor is calculatein two steps.The first step is to calculate the contribution of the market factor to totalportfolio varianfollows:WhereCVmarket factor = contribution of the market factor to totalportfolio variancexmarket factor = weight of the market factor in theportfolioxj = weight of factor j in the portfolioCmf,j = covarianbetween the market factor anfactor jThe varianattributeto the market factor is 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 = 0.001223The seconstep isto vi the resulting varianattributeto the market factor theportfolio varianof returns, whiis the square of the stanrviation ofreturns:Portion of totalportfolio risk explainethe market factor = 0.001223/(0.0374)2Portion of totalportfolio risk explainethe market factor = 87%组合的标准差给的是月度的,这里要不要考虑把标准差年化处理?

2024-06-22 22:08 1 · 回答

NO.PZ2019012201000065 问题如下 Baseon Exhibit 2, theportion of totportfolio risk this explainethe market factor in Fun’s existing portfolio is closest to: A.3% B.81% C.87% The portion oftotportfolio risk explainethe market factor is calculatein two steps.The first step is to calculate the contribution of the market factor to totalportfolio varianfollows:WhereCVmarket factor = contribution of the market factor to totalportfolio variancexmarket factor = weight of the market factor in theportfolioxj = weight of factor j in the portfolioCmf,j = covarianbetween the market factor anfactor jThe varianattributeto the market factor is 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 = 0.001223The seconstep isto vi the resulting varianattributeto the market factor theportfolio varianof returns, whiis the square of the stanrviation ofreturns:Portion of totalportfolio risk explainethe market factor = 0.001223/(0.0374)2Portion of totalportfolio risk explainethe market factor = 87% 老师,这题是求CV/portfolio variance,之前有一题问the proportion of totportfolio variancontributeasset 2,是求CV2的,问题都好像,分不清他问CV,还是CV/portfolio variance

2024-06-14 09:57 1 · 回答