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A Matter of Perspective: Mapping Linear Rational Expectations Models into Finite-Order VAR Form
This paper considers the characterization of the reduced-form solution of a large class of linear rational expectations models. I show that under certain conditions, if a solution exists and is unique, it can be cast in finite-order VAR form. I also investigate the conditions for the VAR form to be stationary with a well-defined residual variance-covariance matrix in equilibrium, for the shocks to be recoverable, and for local identification of the structural parameters for estimation from the sample likelihood. An application to the workhorse New Keynesian model with accompanying Matlab ...
Finite-Order VAR Representation of Linear Rational Expectations Models: With Some Lessons for Monetary Policy
This paper considers the characterization via finite-order VARs of the solution of a large class of linear rational expectations (LRE) models. I propose a unified approach that uses a companion Sylvester equation to check the existence and uniqueness of a solution to the canonical (first-order) LRE model in finite-order VAR form and a quadratic matrix equation to characterize it decoupling the backward- and forward-looking aspects of the model. I also investigate the fundamentalness of the shocks recovered. Solving LRE models by this procedure is straightforward to implement, general in its ...
Equilibrium Yield Curves and the Interest Rate Lower Bound
We study the term structure of default-free interest rates in a sticky-price model with an occasionally binding effective lower bound (ELB) constraint on interest rates and recursive preferences. The ELB constraint induces state-dependency in the dynamics of term premiums by affecting macroeconomic uncertainty and interest-rate sensitivity to economic activities. In a model calibrated to match key features of the aggregate economy and term structure dynamics in the U.S. above and at the ELB, we find that the ELB constraint typically lowers the absolute size of term premiums at the ELB and ...