The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications

Martin Andreasen, Jesus Fernandez-Villaverde and Juan F Rubio-Ramirez

No 18983, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: 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-Gaussian innovations.

JEL-codes: C15 C53 E30 (search for similar items in EconPapers)
Date: 2013-04
New Economics Papers: this item is included in nep-dge
Note: EFG
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Citations: View citations in EconPapers (64)

Published as The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications Martin M Andreasen Jesús Fernández-Villaverde Juan F Rubio-Ramírez The Review of Economic Studies, Volume 85, Issue 1, 1 January 2018, Pages 1–49, https://doi.org/10.1093/restud/rdx037

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Related works:
Journal Article: The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications (2018)
Working Paper: The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications (2016)
Working Paper: The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications (2013)
Working Paper: The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications (2013)
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