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seven-zhu · 2021年03月31日

No.PZ2016062402000023

NO.PZ2016062402000023

问题如下:

Which of the following statements about the linear regression of the return of a portfolio over the return of its benchmark presented below are correct?

I. The correlation is 0.71.

II. About 34% of the variation in the portfolio return is explained by variation in the benchmark return.

III. The portfolio is the dependent variable.

IV. For an estimated portfolio return of 12%, the confidence interval at 95% is (7.16%-16.84%).

选项:

A.

II and IV

B.

Ill and IV

C.

I, II, and III

D.

II,IIIand IV

解释:

The correlation is given by 0.66=0.81\sqrt{0.66}=0.81 so answer I is incorrect. Next,66% of the variation in Y is explained by the benchmark, so answer II. is incorrect. The portfolio return is indeed the dependent variable Y, so answer III. is correct. Finally, to find the 95 % two-tailed confidence interval, we use a from a normal distribution, which covers 95% within plus or minus 1.96, close to 2.00. The interval is theny2SD(e),  y+2SD(e)y-2SD{(e)},\;y+2SD{(e)} or (7.16 -16.84). So answers III. and IV. are correct.

D选项,我看了老师给其他同学的解答,为什么用12 而不是12%呢?考试的时候怎么知道用哪个哎~

2 个答案
已采纳答案

品职答疑小助手雍 · 2021年04月01日

嗨,努力学习的PZer你好:


它有意义的,这里相当于均值就是12%,而标准误那个2.42也是带百分号的,你要理解这个回归和interval的含义其实就是收益率的可接受的区间,理解了这些数字代表的含义你能分辨出哪些数字是应该有百分号,哪些应该没有。

不过考试时候如果出题严谨是不会让你区分这个的,该带百分号的出题人不会省略。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

品职答疑小助手雍 · 2021年03月31日

嗨,努力学习的PZer你好:


没太懂这个问题哈,是要算12%的confidence interval啊,只是把%省略了。

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加油吧,让我们一起遇见更好的自己!

seven-zhu · 2021年03月31日

12%+-2*2.42=-4.72——4.96 12+-2*2.42=7.16——16.84 上面两个式子,答案用的是第二个,我自己做的时候用的第一个,所以我想问为什么在这里要把%当作一个符号,而没有实际意义,考试的时候我怎么知道到底是要算12还是12%呢。

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