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C_M_ · 2024年10月19日

D

NO.PZ2023101902000059

问题如下:

Based on 60 monthly returns, you estimate an actively managed portfolio alpha = 1.24% and standard error of alpha = 0.1278%. The portfolio manager wants to get due credit for producing positive alpha and believes that the probability of observing such a large alpha by chance is only 1%. Calculate the t-statistic, and based on the estimated t-value would you accept (or reject) the claim made by the portfolio manager.

选项:

A.t = 9.70, accept

B.t = 2.66, accept

C.t = 2.66, reject

D.t = 9.70, reject

解释:


With 60 observations and such a large t value, you would have rejected H0 (alpha = 0). The manager should receive credit for the statistically significant alpha.

这道题答案不应该是d吗

1 个答案

李坏_品职助教 · 2024年10月19日

嗨,从没放弃的小努力你好:


首先,H0是:alpha = 0。

计算出来的t统计量是9.702,这个t值已经很大了(大于3了),所以是落入了拒绝区域,也就是要拒绝H0. 结论应该是:alpha是显著大于0的,这个投资经理确实很有能力。


而manager的观点是,能够获得1.24%的alpha是一个小概率的事件,这是因为manager能力很强。


题目最后问你,应该接受还是拒绝manager的观点(不是问你是否接受H0)?最后应该是接受manager的观点。



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