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elwin · 2022年10月16日

risk相近为什么能证明他们dependent

NO.PZ2018062016000143

问题如下:

Claire paid close attention to two portfolios specializing in stocks. The two portfolios were nearly in risk(measured by standard deviation of return) during 2013-2017. Claire believed that the mean monthly return difference between the two portfolio equal to zero and gathered the data of mean monthly retun of two portfolios from 2013-2017. In order to test the hypothesis that the mean monthly return on two portfolios equal from 2013-2017, which of the following test statistic is most appropriate?

选项:

A.

a paired comparisons t-test.

B.

an approximate t-test of mean differences between the two populations.

C.

a t-test of the difference between the two population means.

解释:

A is correct. The two portfolios have the same series of risk factors, so their returns were not independent. Besides, the data is arranged in paired observations. We choose the paired comparisons t-test.

risk相近说明方差相似,不能说明他们是dependent或者independent吧?

1 个答案

星星_品职助教 · 2022年10月16日

同学你好,

承担类似的风险就说明两个组合的收益波动类似。要么都不出风险,要么都出风险。这就是收益之间互相有关系不独立。

从考试的角度出发,这里的考点关键就是看是否独立,此时题目给出类似提示,就是要说明是不独立的。

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