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罗小胖 · 2023年10月05日

为什么,没懂

NO.PZ2022062760000017

问题如下:

Using the returns of the prior 12 months, an analyst estimates the mean monthly return of stock XYZ to be -0.75% with a standard error of 2.70%.


Using the t-table above, which of the following is the 95% confidence interval for the mean return?

选项:

A.

-6.69% and 5.19%

B.

-6.63% and 5.15%

C.

-5.60% and 4.10%

D.

-5.56% and 4.06%

解释:

中文解析:

区间=mean+z值*σ

mean=-0.75%

σ=2.7%

z值的查找:自由度=12-1=11,双尾5%,单尾2.5%

z值=2.201

区间=-0.75% - 2.201*2.70% and -0.75% + 2.201*2.70%

The confidence interval is equal to the mean monthly return plus or minus the t-statistic times the standard error. To get the proper t-statistic, the 0.025 column must be used since this is a two-tailed interval. Since the mean return is being estimated using the sample observations, the appropriate degrees of freedom to use is equal to the number of sample observations minus 1, which is 11. Therefore, the proper statistic to use from the t-distribution is 2.201. The 95% confidence interval is between -0.75% - 2.201*2.70% and -0.75% + 2.201*2.70%.

为什么方差不用除以根号N呢?

1 个答案

DD仔_品职助教 · 2023年10月06日

嗨,从没放弃的小努力你好:


同学你好,

因为题目给出的mean和standard deviation都是针对monthly return的,不是年数据,所以不需要转换

----------------------------------------------
努力的时光都是限量版,加油!

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