Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.461927 69.74973 54.07904 0.0011
At most 1 0.232689 34.42337 35.19275 0.0604
At most 2 0.171903 19.32618 20.26184 0.0669
At most 3 0.139663 8.574573 9.164546 0.0646
Trace test indicates 1 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 * 0.461927 35.32636 28.58808 0.0059
At most 1 0.232689 15.09719 22.29962 0.3671
At most 2 0.171903 10.75161 15.89210 0.2708
At most 3 0.139663 8.574573 9.164546 0.0646
Max-eigenvalue test indicates 1 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):