NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

Martin M. Andreasen

Aarhus University
Fuglesangs Allé 4
8210 Aarhus V
Denmark

E-Mail: mandreasen@econ.au.dk

NBER Working Papers and Publications

April 2013The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications
with Jesús Fernández-Villaverde, Juan Rubio-Ramírez: w18983
This paper studies the pruned state-space system for higher-order approximations to the solutions of DSGE models. For second- and third-order approximations, we derive the statistical properties of this system and provide closed-form expressions for first and second unconditional moments and impulse response functions. Thus, our analysis introduces GMM estimation for DSGE models approximated up to third-order and provides the foundation for indirect inference and SMM when simulation is required. We illustrate the usefulness of our approach by estimating a New Keynesian model with habits and Epstein-Zin preferences by GMM when using first and second unconditional moments of macroeconomic and financial data and by SMM when using additional third and fourth unconditional moments and non-Gauss...
 
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