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大老王 · 2023年04月12日

通过B1判断

* 问题详情,请 查看题干

NO.PZ201709270100000502

问题如下:

2. Based on the regression output in Exhibit 1, the first-differenced series used to run Regression 2 is consistent with:

选项:

A.

a random walk.

B.

covariance stationarity.

C.

a random walk with drift.

解释:

B is correct. The critical t-statistic at a 5% confidence level is 1.98. As a result, neither the intercept nor the coefficient on the first lag of the first-differenced exchange rate in Regression 2 differs significantly from zero. Also, the residual autocorrelations do not differ significantly from zero. As a result, Regression 2 can be reduced to yt = εt with a mean-reverting level of b0/(1 b1) = 0/1 = 0.

Therefore, the variance of yt in each period is Var(εt) = σ2. The fact that the residuals are not autocorrelated is consistent with the covariance of the times series, with itself being constant and finite at different lags. Because the variance and the mean of yt are constant and finite in each period, we can also conclude that yt is covariance stationary.

请问本题是否直接可以从b1判断,即因为题目中b1给了不等于1,所以不是unit root或者说是 covariance-stationary?

1 个答案

星星_品职助教 · 2023年04月12日

同学你好,

如果要从b1角度出发,不能用t检验去检验b1是否等于1,而需要用DF test去检验g是否等于0。这两个检验是有区别的,例如检验的关键值是不同的(非教材内容,了解即可)。

所以,如果要从b1和1的关系角度入手,题干中必须给出DF test的结果,仅靠目前题干中出的t检验的结果是不够的。

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