The present paper shows that a DSGE model can be represented by a finite order VAR if and only if the eigenvalues of the matrix defined in Fernández-Villaverde et al. (2007) are all equal to zero. Further it shows that this condition is equivalent to the unimodularity condition presented...

This paper analyzes the hypothesis of hysteresis in Europe. The results are favorable to smooth transition trend-stationarity in European unemployment rates around highly persistent structural changes. In addition, we find evidence of a common force that generates this nonlinear behavior.