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Solving Linear Rational Expectations Models with Lagged Expectations Quickly and Easily

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  • Alexander Meyer-Gohde

Abstract

A solution method is derived in this paper for solving a system of linear rationalexpectations equation with lagged expectations (e.g., models incorporating sticky information) using the method of undetermined coefficients for the infinite MA representation. The method applies a combination of a Generalized Schur Decomposition familiar elsewhere in the literature and a simple system of linear equations when lagged expectations are present to the infinite MA representation. Execution is faster, applicability more general, and use more straightforward than with existing algorithms. Current methods of truncating lagged expectations are shown to not generally be innocuous and the use of such methods are rendered obsolete by the tremendous gains in computational efficiency of the method here which allows for a solution to floating-point accuracy in a fraction of the time required by standard methods. The associated computational application of the method provides impulse responses to anticipated and unanticipated innovations, simulations, and frequency-domain and simulated moments.

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Bibliographic Info

Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2007-069.

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Length: 33 pages
Date of creation: Dec 2007
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2007-069

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Keywords: Lagged expectations; linear rational expectations models; block tridiagonal; Generalized Schur Form; QZ decomposition; LAPACK;

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Citations

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Cited by:
  1. Alexander Meyer-Gohde, 2008. "The Natural Rate Hypothesis and Real Determinacy," SFB 649 Discussion Papers SFB649DP2008-054, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  2. Carrillo Julio A., 2010. "How Well Does Sticky Information Explain Inflation and Output Inertia?," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. Yao, Fang, 2009. "Time-dependent pricing and New Keynesian Phillips curve," Discussion Paper Series 1: Economic Studies 2009,08, Deutsche Bundesbank, Research Centre.
  4. Carrillo, Julio A., 2012. "How well does sticky information explain the dynamics of inflation, output, and real wages?," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 830-850.
  5. Fabio Verona & Maik H. Wolters, 2013. "Sticky Information Models in Dynare," CEF.UP Working Papers 1306, Universidade do Porto, Faculdade de Economia do Porto.
  6. Hong Lan & Alexander Meyer-Gohde, 2011. "Solving DSGE Models with a Nonlinear Moving Average," SFB 649 Discussion Papers SFB649DP2011-087, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  7. Ricardo Reis, 2009. "A Sticky-Information General-Equilibrium Model for Policy Analysis," NBER Working Papers 14732, National Bureau of Economic Research, Inc.
  8. Jan-Oliver Menz & Lena Vogel, 2009. "A Detailed Derivation of the Sticky Price and Sticky Information New Keynesian DSGE Model," Macroeconomics and Finance Series 200902, Hamburg University, Department Wirtschaft und Politik.
  9. Alexander Meyer-Gohde, 2011. "Sticky Information and Determinacy," SFB 649 Discussion Papers SFB649DP2011-006, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  10. Mehmet Fatih, Ekinci, 2010. "Inattentive Consumers and Exchange Rate Volatility," MPRA Paper 26472, University Library of Munich, Germany, revised 31 Oct 2010.
  11. Herings P. Jean-Jacques & Peeters Ronald & Yang Michael S., 2009. "Piracy on the internet: Accommodate it or fight it? A dynamic approach," Research Memorandum 034, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  12. Lena Dräger, 2011. "Endogenous Persistence with Recursive Inattentiveness," KOF Working papers 11-285, KOF Swiss Economic Institute, ETH Zurich.
  13. Fang Yao, 2009. "Non-constant Hazard Function and Inflation Dynamics," SFB 649 Discussion Papers SFB649DP2009-030, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  14. Lena Dräger, 2010. "Why don't people pay attention? Endogenous Sticky Information in a DSGE Model," Macroeconomics and Finance Series 201002, Hamburg University, Department Wirtschaft und Politik.

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