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Kokonoi Hajime · 2024年09月09日

这个地方DW test不是significant了吗

NO.PZ2023040502000043

问题如下:

The analyst decides to do additional analysis by first-differencing the data and running anew regression: yt = b0 + b1yt–1 + εt, where yt = xt – xt–1.

Exhibit 1. First-Differenced Exchange Rate AR(1) Model: Month-End Observations, Last 10 Years


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

选项:

A.

a random walk

B.

covariance stationarity

C.

a random walk with drift

解释:

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 differs significantly from zero. Also, the residual autocorrelations do not differ significantly from zero. As a result, Regression 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.

那不是reject了没有autocorrelation的null hypothesis,应该有autocorrelation?

1 个答案

品职助教_七七 · 2024年09月10日

嗨,从没放弃的小努力你好:


AR模型中并不使用DW test来判断Autocorrelation,需要使用的是t-test。DW的数据在本题里不需要看。

此外,本题考察的是covariance stationary,并不是Autocorrelation。

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NO.PZ2023040502000043问题如下 The analyst cis to aitionanalysis first-fferencing the ta anrunning anew regression:yt = + b1yt–1 + εt,where yt = xt – xt–1.Exhibit 1. First-fferenceExchange Rate AR(1)Mol: Month-EnObservations, Last 10 YearsBaseon the regression output in Exhibit 1, the first-fferenceeries useto run Regression is consistent with: A.a ranm walkB.covarianstationarityC.a ranm walk with ift The critict-statistic a 5% confinlevel is1.98. a result, neither the intercept nor the coefficient on the first lagof the first-fferenceexchange rate in Regression ffers significantly fromzero. Also, the resiautocorrelations not ffer significantly fromzero. a result, Regression creceto yt = εtwith a mean-reverting level of b0/(1 – b1) = 0/1 =0.Therefore, the varianof yt in eaperiois Var(εt)= σ2. The faththe resials are not autocorrelateisconsistent with the covarianof the times series, with itself being constantanfinite fferent lags. Because the variananthe meof ytare constant anfinite in eaperio we calso conclu thytis covarianstationary. 两个t statistics都很小,说明b0和b1都为0,所以yt = + b1yt–1 + εt就相当于yt = 0 + 0*yt–1 + εt=εt。这为什么不是simple ranm walk呢?

2024-11-11 05:25 1 · 回答

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2024-03-15 16:35 2 · 回答

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2023-08-23 10:54 1 · 回答