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princessmiao · 2019年12月30日

问一道题:NO.PZ2015121801000044 [ CFA I ]

问题如下图:

选项:

A.

B.

C.

解释:

请问这道题的计算过程是?

1 个答案

星星_品职助教 · 2019年12月30日

同学你好,
这道题的计算过程比较巧妙,是通过给出的组合方差14.40%正好和单个资产的平方和的形式相等,从而得出了ρ=1(因为只有ρ=1时这两者才相等),然后直接就可以算cov了。列式如下:

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NO.PZ2015121801000044 问题如下 A portfolio manager creates the following portfolio:If the stanrviation of the portfolio is 14.40%, the covarianbetween the two securities is equto: A.0.0006. B.0.0240. C.1.0000. is correct.A portfolio stanrviation of 14.40% is the weighteaverage, whiis possible only if the correlation between the securities is equto 1.0. If the correlation coefficient is equto 1.0,then the covarianmust equ0.0240, calculateas: Cov( R 1 , R 2 )= ρ 12 σ 1 σ 2 =(1.0)(20%)(12%)=2.40%=0.0240. 14%^2= 30%^2✖️20%^2+70%^2✖️12%^2+2✖️30%✖️70%✖️covcov算出来=0.1014请问是哪里算错了

2023-12-06 11:34 1 · 回答

NO.PZ2015121801000044 问题如下 A portfolio manager creates the following portfolio:If the stanrviation of the portfolio is 14.40%, the covarianbetween the two securities is equto: A.0.0006. B.0.0240. C.1.0000. is correct.A portfolio stanrviation of 14.40% is the weighteaverage, whiis possible only if the correlation between the securities is equto 1.0. If the correlation coefficient is equto 1.0,then the covarianmust equ0.0240, calculateas: Cov( R 1 , R 2 )= ρ 12 σ 1 σ 2 =(1.0)(20%)(12%)=2.40%=0.0240. 我用了,(w+σ)^2+(w+σ)^2+2w1w2σ1σ2 cov这个公式反推不出来,算出来的结果是0.9901

2022-12-28 12:24 2 · 回答

NO.PZ2015121801000044 老师,14.4%推出p=1,这个点还不是很懂?请解惑,谢谢!

2021-09-01 00:01 1 · 回答

https://class.pzacamy.com/qa/45937 我看的这里的图,助教的图显示不出来 我想问下“是通过给出的组合方差14.40%正好和单个资产的平方和的形式相等,从而得出了ρ=1” 14.4%等于资产2的方差12%的平方,但是公式 rp^2=(w1*r1)^+(w2*r2)^2+w1*w2*+2*w1*w2*r1*r2*p 我不知道怎么和这个复杂的式子就联系上了呢? r2^2=0.12^2=14.4% 而rp^2= 14.4%^2=0.020736,完全没关系啊

2020-10-21 16:36 2 · 回答

0.0240. 1.0000. B   is correct. A portfolio stanrviation of 14.40% is the weighteaverage, whiis possible only if the correlation between the securities is equto 1.0. If the correlation coefficient is equto 1.0,then the covarianmust equ0.0240, calculateas: Cov( R 1 , R 2 )= ρ 12 σ 1 σ 2  =(1.0)(20%)(12%)=2.40%=0.0240. 老师,正常是不是要用组合标准差公式到算出相关系数?即,已知组合标准差是14.4%,两个组合的权重和分别的标准差。求相关系数?

2020-06-13 12:04 1 · 回答