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施敏 · 2021年02月10日

问一道题:NO.PZ2017092702000132 [ CFA I ]

问题如下:

An analyst tests the profitability of a trading strategy with the null hypothesis being that the average abnormal return before trading costs equals zero. The calculated t-statistic is 2.802, with critical values of ± 2.756 at significance level α = 0.01. After considering trading costs, the strategy’s return is near zero. The results are most likely:

选项:

A.

statistically but not economically significant.

B.

economically but not statistically significant.

C.

neither statistically nor economically significant.

解释:

A is correct.

The hypothesis is a two-tailed formulation. The t-statistic of 2.802 falls outside the critical rejection points of less than –2.756 and greater than 2.756, therefore the null hypothesis is rejected; the result is statistically significant. However, despite the statistical results, trying to profit on the strategy is not likely to be economically meaningful because the return is near zero after transaction costs

Significant level=0.01,为什么critical value不是2.58
1 个答案
已采纳答案

星星_品职助教 · 2021年02月10日

同学你好,

±2.58是正态分布下的置信区间所对应的关键值。所以要使得一个假设检验的关键值为±2.58,需要满足两个前提条件:

①双尾假设检验(本题满足)

②分布要是正态分布(本题不满足)

针对②点,题干中并没有说分布为正态,且给出的是t统计量(The calculated t-statistics is 2.802...)所以这是一个t分布,如果题干不给出关键值的话,需要自己去查t分布表得到关键值。

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