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胡昱 · 2021年05月08日

还是没懂为啥截距是0.2%?怎么推算这个截距?

NO.PZ2016062402000021

问题如下:

Consider two stocks, A and B. Assume their annual returns are jointly normally distributed, the marginal distribution of each stock has mean 2% and standard deviation 10%, and the correlation is 0.9. What is the expected annual return of stock A if the annual return of stock B is 3%?

选项:

A.

2%

B.

2.9%

C.

4.7%

D.

1.1%

解释:

The information in this question can be used to construct a regression model of A on B. We have RA=2%+0.9(10%/10%)(RB2%)+εR_A=2\%+0.9{(10\%/10\%)}{(R_B-2\%)}+\varepsilon. Next, replacing \(\;R_B\) by 3% gives R^A{\widehat R}_A = 2% + 0.9(3% - 2%) = 2.9%.

还是没懂为啥截距是0.2%?怎么推算这个截距?

1 个答案

小刘_品职助教 · 2021年05月08日

同学你好,

之前有个老师的方法我觉得更容易理解。

直接设回归方程Ra=b0+b1Rb,根据b1的公式算出来b1=0.9.

代入b1=0.9和Ra=Rb=2%后

得出b0=0.2%

再把Rb=3%代入,算出Ra=2.9%

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NO.PZ2016062402000021问题如下 Consir two stocks, A anAssume their annureturns are jointly normally stribute the marginstribution of eastohme2% anstanrviation 10%, anthe correlation is 0.9. Whis the expecteannureturn of stoA if the annureturn of stoB is 3%? 2% 2.9% 4.7% 1.1% The information in this question cuseto construa regression mol of A on We have RA=2%+0.9(10%/10%)(RB−2%)+εR_A=2\%+0.9{(10\%/10\%)}{(R_B-2\%)}+\varepsilonRA​=2%+0.9(10%/10%)(RB​−2%)+ε. Next, replacing \(\;R_B\) 3% gives R^A{\wihR}_AR= 2% + 0.9(3% - 2%) = 2.9%.题目那句话可以看出要这样减去0.2呀

2022-08-13 14:44 1 · 回答

NO.PZ2016062402000021 2.9% 4.7% 1.1% The information in this question cuseto construa regression mol of A on We have RA=2%+0.9(10%/10%)(RB−2%)+εR_A=2\%+0.9{(10\%/10\%)}{(R_B-2\%)}+\varepsilonRA​=2%+0.9(10%/10%)(RB​−2%)+ε. Next, replacing \(\;R_B\) 3% gives R^A{\wihR}_= 2% + 0.9(3% - 2%) = 2.9%.百分之二在这里怎么用?怎么理解。

2022-01-16 13:33 2 · 回答

还是不太懂为什么要减去2%,可以告诉一下什么嘛时候要减什么时候不用吗?

2021-01-21 22:16 1 · 回答

看了下提问,思考了下简单说说我的想法 这个题和何老师课上讲的那个题虽然计算目标相同,求E(R_a|R_b=3%)=?但计算角度肯定不一样,原因如下 这个题是从CAPM角度考虑,E(R_p)=R_f+b*(E(R_m)-R_f),题目上说marginstribution of eastohme2%,无论如何和两个股票都有2%的收益,相当于CAPM里的R_f的概念。 CAPM是个系统风险补偿模型,对于到题目里如果直接带入3%,实际就考虑重复了,因为3%里面的2%已经在截距项里面考虑过了,beta是对风险补偿的系数,所以其实不管R_b等于多少,在计算R_a的时候都要剔除2%。 何老师上课讲那个题是肯定不是从CAPM角度去考虑,是从R_a,R_b相关性的角度去考虑的,肯定不需要减去R_a,R_b中同时共有的收益嘛

2020-06-23 11:23 1 · 回答