This paper proposes a recursive procedure that characterizes the order of the pole and the coecients of the Laurent series representation of the inverse of a regular analytic matrix function. The algorithm consists in performing a finite sequence of rank factorizations of matrices of...

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...

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...

We extend the representation theory of the autoregressive model in the fractional lag operator of Johansen (2008, <italic>Econometric Theory</italic> 24, 651–676). A recursive algorithm for the characterization of cofractional relations and the corresponding adjustment coefficients is given, and it is shown...

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.

The `local rank factorization' (lrf) of a regular matrix polynomial at an eigenvalue consists of a sequence of matrix rank factorizations of a certain function of its coecients; the lrf delivers the local Smith form and extended canonical systems of root functions that correspond to the...

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...

This paper shows that the poor man's invertibility condition in Fernández-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...