Date: 05/16/14 Time: 22:24
Sample (adjusted): 6 265
Included observations: 260 after adjustments
Trend assumption: Linear deterministic trend
Series: LNHF LNHS LNHW LNHX
Lags interval (in first differences): 1 to 2
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None 0.070207 39.97709 47.85613 0.2233
At most 1 0.062623 21.05090 29.79707 0.3545
At most 2 0.016163 4.236854 15.49471 0.8835
At most 3 3.41E-07 8.85E-05 3.841466 0.9932
Trace test indicates no cointegration 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 0.070207 18.92619 27.58434 0.4202
At most 1 0.062623 16.81405 21.13162 0.1809
At most 2 0.016163 4.236765 14.26460 0.8336
At most 3 3.41E-07 8.85E-05 3.841466 0.9932
Max-eigenvalue test indicates no cointegration 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):
LNHF LNHS LNHW LNHX
-56.92907 28.92840 12.74214 22.05430
-21.30553 -2.731752 34.06984 -33.80236
-2.214322 21.40811 -12.54706 -3.154290
2.046861 7.389875 -11.50625 -12.12063
Unrestricted Adjustment Coefficients (alpha):
D(LNHF) 0.002506 -0.000765 -0.000778 -1.59E-06
D(LNHS) -0.000400 -0.000827 -0.001438 -7.40E-08
D(LNHW) -0.000493 -0.001726 0.000335 -5.10E-06
D(LNHX) -0.000176 0.001051 -0.000572 -2.79E-06
1 Cointegrating Equation(s): Log likelihood 3313.917
Normalized cointegrating coefficients (standard error in parentheses)
LNHF LNHS LNHW LNHX
1.000000 -0.508148 -0.223825 -0.387400
(0.10291) (0.13086) (0.16685)
Adjustment coefficients (standard error in parentheses)
D(LNHF) -0.142657
(0.04220)
D(LNHS) 0.022766
(0.04275)
D(LNHW) 0.028073
(0.04172)
D(LNHX) 0.009993
(0.02815)
2 Cointegrating Equation(s): Log likelihood 3322.324
Normalized cointegrating coefficients (standard error in parentheses)
LNHF LNHS LNHW LNHX
1.000000 0.000000 -1.322009 1.188832
(0.15031) (0.36060)
0.000000 1.000000 -2.161150 3.101914
(0.31236) (0.74937)
Adjustment coefficients (standard error in parentheses)
D(LNHF) -0.126360 0.074581
(0.04496) (0.02149)
D(LNHS) 0.040381 -0.009310
(0.04553) (0.02176)
D(LNHW) 0.064851 -0.009550
(0.04405) (0.02106)
D(LNHX) -0.012402 -0.007949
(0.02979) (0.01424)
3 Cointegrating Equation(s): Log likelihood 3324.442
Normalized cointegrating coefficients (standard error in parentheses)
LNHF LNHS LNHW LNHX
1.000000 0.000000 0.000000 -1.684647
(0.47673)
0.000000 1.000000 0.000000 -1.595496
(0.73284)
0.000000 0.000000 1.000000 -2.173569
(0.42070)
Adjustment coefficients (standard error in parentheses)
D(LNHF) -0.124639 0.057934 0.015626
(0.04489) (0.02664) (0.02840)
D(LNHS) 0.043565 -0.040090 -0.015225
(0.04522) (0.02683) (0.02861)
D(LNHW) 0.064108 -0.002369 -0.069304
(0.04406) (0.02614) (0.02787)
D(LNHX) -0.011136 -0.020189 0.040749
(0.02972) (0.01764) (0.01880)


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