The present paper shows that there is a simple way to check whether a DSGE model can be represented by a finite order VAR. This consists in verifying that the eigenvalues of a certain matrix defined in Fernandez-Villaverde et al. (2007) are all equal to zero. Further we show that this condition...

This paper shows that the poor man's invertibility condition in Fernandez-Villaverde et al. (2007) is, in general, sufficient but not necessary for fundamentalness; that is, a violation of this condition does not necessarily imply the impossibility of recovering the structural shocks of a DSGE...