Sample (adjusted): 1982Q2 2014Q4

Included observations: 131 after adjustments

Trend assumption: Linear deterministic trend

Series: ZARX R

Lags interval (in first differences): 1 to 4

Unrestricted Cointegration Rank Test (Trace)

Hypothesized

Trace

0.05

No. of CE(s)

Eigenvalue

Statistic

Critical Value

Prob.**

None

0.099364

13.84352

15.49471

0.0873

At most 1

0.001021

0.133772

3.841466

0.7145

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

0.099364

13.70974

14.26460

0.0610

At most 1

0.001021

0.133772

3.841466

0.7145

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):

ZARX

R

0.422452

0.363892

0.299547

−0.065434

Unrestricted Adjustment Coefficients (alpha):

D(ZARX)

−0.058162

−0.011648

D(R)

−0.320328

0.008697

1 Cointegrating Equation(s):

Log likelihood

−251.4944

Normalized cointegrating coefficients (standard error in parentheses)

ZARX

R

1.000000

0.861381

(0.17095)

Adjustment coefficients (standard error in parentheses)

D(ZARX)

−0.024571

(0.01553)

D(R)

−0.135323

(0.03848)