stability of VAR model

The VAR model is stable if it generates Stationary time series - all of them. This is a little intense to think about since each variable can depend on lags of other variables.

A VAR(p) is stable if the (modulus of the) eigenvalues of the coefficient matrix are less than 1. This works even for p > 1 since we can make an augmented matrix holding all the other matrices which is equivalent