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

米妮涵 · 2023年03月26日

权重换成系数

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%

讲义例题是有权重的,这道题只有系数,解题思路是怎样的?

1 个答案

笛子_品职助教 · 2023年03月27日

嗨,从没放弃的小努力你好:


讲义例题是有权重的,这道题只有系数,解题思路是怎样的?

Hello,亲爱的同学!


本题的因子系数,就等同于例题里的股票权重。

解题思路就是把因子系数当做权重,然后沿用例题的计算方法。


原因在于:


股票的权重是W,股票用S表示:

则portfolio return = w1*S1 + w2*S2 +...+wn*Sn + residual


因子的系数是C,因子用F表示:

则portfolio return = C1*F1 + C2*F2 + ...Cn*Fn + residual


我们看到,基于权重和股票的表达式,与基于系数和因子的表达式,形式上是相同的。


所以我们计算S1的方差对portfolio 方差的贡献时,与计算F1的方差对portfolio方差的贡献时,所用的计算方法也是相同的。

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

  • 1

    回答
  • 0

    关注
  • 281

    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