Date: 04/25/16 Time: 21:56
Sample (adjusted): 2001 2013
Included observations: 13 after adjustments
Trend assumption: Linear deterministic trend
Series: Y X1 X2 X3
Lags interval (in first differences): 1 to 1
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.974313 105.1938 47.85613 0.0000
At most 1 * 0.955833 57.59107 29.79707 0.0000
At most 2 * 0.540423 17.03387 15.49471 0.0291
At most 3 * 0.413070 6.927041 3.841466 0.0085
Trace test indicates 4 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegration Rank Test (Maximum Eigenvalue)
Hypothesized Max-Eigen 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.974313 47.60277 27.58434 0.0000
At most 1 * 0.955833 40.55721 21.13162 0.0000
At most 2 0.540423 10.10683 14.26460 0.2050
At most 3 * 0.413070 6.927041 3.841466 0.0085
Max-eigenvalue test indicates 2 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegrating Coefficients (normalized by b'*S11*b=I):