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shron · 2022年02月25日

第三个选项不太明白什么意思。

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.

第三个选项不太明白问的什么?

1 个答案
已采纳答案

李坏_品职助教 · 2022年02月25日

嗨,努力学习的PZer你好:


III说的是组合收益率是因变量(dependent variable),也就是线性回归模型里面的Y。


III说的是对的,因为我们的model就是为了对portfolio return进行分析,所以它就是Y

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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