I tried to do cointegration test for 4 variables (y, x, z, w) using vecrank command and found that there are 2 cointegration relationships. I tried to do vector error correction model using vce command.
I got two cointegration vectors below. One cointegration vector is y+δ1z+ δ2w+constant=0 and the other cointegration vector is x+γ1z+ γ2w+constant=0.

Array

How to find the long run relationship between y and x? When there are two cointegration relationships between 4 variables, can we long run relationship among four variables?


Jaimin Lee