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Solving DSGE Models with a Nonlinear Moving Average

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  • Hong Lan
  • Alexander Meyer-Gohde

Abstract

We introduce a nonlinear infinite moving average as an alternative to the standard state-space policy function for solving nonlinear DSGE models. Perturbation of the nonlinear moving average policy function provides a direct mapping from a history of innovations to endogenous variables, decomposes the contributions from individual orders of uncertainty and nonlinearity, and enables familiar impulse response analysis in nonlinear settings. When the linear approximation is saddle stable and free of unit roots, higher order terms are likewise saddle stable and first order corrections for uncertainty are zero. We derive the third order approximation explicitly and examine the accuracy of the method using Euler equation tests.

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Bibliographic Info

Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2011-087.

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Length: 56 pages
Date of creation: Dec 2011
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2011-087

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Keywords: Perturbation; nonlinear impulse response; DSGE; solution methods;

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Citations

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Cited by:
  1. Hong Lan & Alexander Meyer-Gohde, 2012. "Existence and Uniqueness of Perturbation Solutions to DSGE Models," SFB 649 Discussion Papers SFB649DP2012-015, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  2. Hong Lan & Alexander Meyer-Gohde, 2013. "Decomposing Risk in Dynamic Stochastic General Equilibrium," SFB 649 Discussion Papers SFB649DP2013-022, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  3. Andreasen, Martin M. & Fernández-Villaverde, Jesús & Rubio-Ramírez, Juan Francisco, 2013. "The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications," CEPR Discussion Papers 9442, C.E.P.R. Discussion Papers.
  4. Dario Bonciani & Björn van Roye, 2013. "Uncertainty shocks, banking frictions, and economic activity," Kiel Working Papers 1843, Kiel Institute for the World Economy.
  5. S. Borağan Aruoba & Luigi Bocola & Frank Schorfheide, 2013. "Assessing DSGE Model Nonlinearities," NBER Working Papers 19693, National Bureau of Economic Research, Inc.

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