Results from unit root test with smooth breaks
| Level shift | Level and trend shift | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Country | ADF(k*) | p | k* | Ftrig | p-val. | ADF(k*) | p | k* | Ftrig | p-val. |
| Greece | −3.596* | 12 | 1 | 7.329*** | 0.000 | −3.610 | 12 | 1 | 4.826*** | 0.008 |
| Ireland | −3.392** | 3 | 3 | 3.165** | 0.042 | −3.646* | 3 | 3 | 3.644** | 0.026 |
| Italy | −2.403 | 11 | 2 | 2.311 | 0.100 | −3.247 | 11 | 2 | 3.714** | 0.024 |
| Portugal | −3.591* | 10 | 1 | 5.443*** | 0.004 | −3.525 | 10 | 1 | 4.431** | 0.012 |
| Spain | −2.809 | 9 | 2 | 0.800 | 0.449 | −3.524* | 9 | 3 | 3.391* | 0.092 |
| Level shift | Level and trend shift | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Country | F | F | ||||||||
| Greece | −3.596 | 12 | 1 | 7.329 | 0.000 | −3.610 | 12 | 1 | 4.826 | 0.008 |
| Ireland | −3.392 | 3 | 3 | 3.165 | 0.042 | −3.646 | 3 | 3 | 3.644 | 0.026 |
| Italy | −2.403 | 11 | 2 | 2.311 | 0.100 | −3.247 | 11 | 2 | 3.714 | 0.024 |
| Portugal | −3.591 | 10 | 1 | 5.443 | 0.004 | −3.525 | 10 | 1 | 4.431 | 0.012 |
| Spain | −2.809 | 9 | 2 | 0.800 | 0.449 | −3.524 | 9 | 3 | 3.391 | 0.092 |
Notes:
The optimal lag(s), p, were determined by the t-stat significance of the last lagged dependent variable at the 10% significance level by setting the maximum number of lags to 12. The optimal Fourier frequency k* was selected by minimizing the sum of squared residuals from OLS estimation with k ∈ [1,…,5]. Ftrig is the usual F-statistic for testing the null hypothesis of the absence of trigonometric terms (i.e. δ1=δ2 = 0) in equation (8) for the model with level shift and equation (9) for the model with level and trend shift by using k = k*. The critical values for Fourier ADF, ADF(k*), test are available in Enders and Lee (2012).
(1%),
(5%) and
(10%)