Date: 04/23/14 Time: 19:09
Sample (adjusted): 1993 2012
Included observations: 20 after adjustments
Trend assumption: Linear deterministic trend
Series: LNI LNM LNR
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 * 0.942080 62.76340 29.79707 0.0000
At most 1 0.236579 5.789564 15.49471 0.7202
At most 2 0.019344 0.390664 3.841466 0.5319
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 * 0.942080 56.97383 21.13162 0.0000
At most 1 0.236579 5.398900 14.26460 0.6909
At most 2 0.019344 0.390664 3.841466 0.5319
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):
LNI LNM LNR
2.971531 15.26281 31.58521
3.590706 16.27321 11.12387
-0.249162 -7.837917 -17.59201
Unrestricted Adjustment Coefficients (alpha):
D(LNI) -0.131504 -0.081883 -0.017392
D(LNM) 0.021208 -0.002101 0.011971
D(LNR) -0.053403 -0.005467 -0.003329
1 Cointegrating Equation(s): Log likelihood 90.91965
Normalized cointegrating coefficients (standard error in parentheses)
LNI LNM LNR
1.000000 5.136346 10.62927
(0.14609) (0.50727)
Adjustment coefficients (standard error in parentheses)
D(LNI) -0.390769
(0.16283)
D(LNM) 0.063020
(0.06625)
D(LNR) -0.158689
(0.02269)
2 Cointegrating Equation(s): Log likelihood 93.61910
Normalized cointegrating coefficients (standard error in parentheses)
LNI LNM LNR
1.000000 0.000000 -53.38332
(15.1002)
0.000000 1.000000 12.46267
(2.94873)
Adjustment coefficients (standard error in parentheses)
D(LNI) -0.684787 -3.339625
(0.23562) (1.12791)
D(LNM) 0.055476 0.289502
(0.10387) (0.49724)
D(LNR) -0.178318 -0.904042
(0.03498) (0.16742)