Johansen test results during most recent period-unrestricted cointegration rank test (Trace and maximum Eigenvalue)
| Number of cointegrating relations | Eigenvalue | Trace Statistic | 0.05 Critical value | Prob.** | Max-eigen Statistic | 0.05 Critical value | Prob.** |
|---|---|---|---|---|---|---|---|
| None * | 0.846620 | 392.7454 | 239.2354 | 0.0000 | 119.9896 | 64.50472 | 0.0000 |
| At most 1 * | 0.702374 | 272.7558 | 197.3709 | 0.0000 | 77.56265 | 58.43354 | 0.0003 |
| At most 2 * | 0.637797 | 195.1931 | 159.5297 | 0.0001 | 64.99530 | 52.36261 | 0.0016 |
| At most 3 * | 0.466725 | 130.1978 | 125.6154 | 0.0255 | 40.23800 | 46.23142 | 0.1903 |
| At most 4 * | 0.384521 | 89.95981 | 95.75366 | 0.1171 | 31.06272 | 40.07757 | 0.3569 |
| At most 5 * | 0.296061 | 58.89709 | 69.81889 | 0.2708 | 22.46807 | 33.87687 | 0.5714 |
| At most 6 * | 0.270870 | 36.42901 | 47.85613 | 0.3750 | 20.21778 | 27.58434 | 0.3263 |
| At most 7 * | 0.147266 | 16.21123 | 29.79707 | 0.6974 | 10.19567 | 21.13162 | 0.7260 |
| At most 8 * | 0.089446 | 6.015561 | 15.49471 | 0.6937 | 5.996929 | 14.26460 | 0.6136 |
| At most 9 | 0.000291 | 0.018632 | 3.841465 | 0.8913 | 0.018632 | 3.841465 | 0.8913 |
| Number of cointegrating relations | Eigenvalue | Trace | 0.05 | Prob.** | Max-eigen | 0.05 | Prob.** |
|---|---|---|---|---|---|---|---|
| None * | 0.846620 | 392.7454 | 239.2354 | 0.0000 | 119.9896 | 64.50472 | 0.0000 |
| At most 1 * | 0.702374 | 272.7558 | 197.3709 | 0.0000 | 77.56265 | 58.43354 | 0.0003 |
| At most 2 * | 0.637797 | 195.1931 | 159.5297 | 0.0001 | 64.99530 | 52.36261 | 0.0016 |
| At most 3 * | 0.466725 | 130.1978 | 125.6154 | 0.0255 | 40.23800 | 46.23142 | 0.1903 |
| At most 4 * | 0.384521 | 89.95981 | 95.75366 | 0.1171 | 31.06272 | 40.07757 | 0.3569 |
| At most 5 * | 0.296061 | 58.89709 | 69.81889 | 0.2708 | 22.46807 | 33.87687 | 0.5714 |
| At most 6 * | 0.270870 | 36.42901 | 47.85613 | 0.3750 | 20.21778 | 27.58434 | 0.3263 |
| At most 7 * | 0.147266 | 16.21123 | 29.79707 | 0.6974 | 10.19567 | 21.13162 | 0.7260 |
| At most 8 * | 0.089446 | 6.015561 | 15.49471 | 0.6937 | 5.996929 | 14.26460 | 0.6136 |
| At most 9 | 0.000291 | 0.018632 | 3.841465 | 0.8913 | 0.018632 | 3.841465 | 0.8913 |
Note(s): Trace test indicates 4 cointegrating eqn(s) and Max-eigenvalue test indicates 3 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**p-values
Source(s): Author’s calculations