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Solving linear rational expectations models: a horse race

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  • Gary S. Anderson

Abstract

This paper compares the functionality, accuracy, computational efficiency, and practicalities of alternative approaches to solving linear rational expectations models, including the procedures of (Sims, 1996), (Anderson and Moore, 1983), (Binder and Pesaran, 1994), (King and Watson, 1998), (Klein, 1999), and (Uhlig, 1999). While all six procedures yield similar results for models with a unique stationary solution, the AIM algorithm of (Anderson and Moore, 1983) provides the highest accuracy; furthermore, this procedure exhibits significant gains in computational efficiency for larger-scale models.

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Bibliographic Info

Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 2006-26.

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Date of creation: 2006
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Handle: RePEc:fip:fedgfe:2006-26

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Keywords: Rational expectations (Economic theory) ; Econometric models;

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  1. repec:cup:etheor:v:11:y:1995:i:2:p:229-57 is not listed on IDEAS
  2. Laurence Broze & Christian Gouriéroux & Ariane Szafarz, 1995. "Solutions of Multivariate Rational Expectations Models," ULB Institutional Repository 2013/701, ULB -- Universite Libre de Bruxelles.
  3. Uhlig, H., 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper 1995-97, Tilburg University, Center for Economic Research.
  4. Anderson, Gary S., 2010. "A reliable and computationally efficient algorithm for imposing the saddle point property in dynamic models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 472-489, March.
  5. Zadrozny, Peter A., 1998. "An eigenvalue method of undetermined coefficients for solving linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1353-1373, August.
  6. Laurence Broze & Christian Gouriéroux & Ariane Szafarz, 1985. "Solutions of Dynamic Linear Rational Expectations Models," ULB Institutional Repository 2013/675, ULB -- Universite Libre de Bruxelles.
  7. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
  8. Binder,M. & Pesaran,H.M., 1995. "Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results," Cambridge Working Papers in Economics 9415, Faculty of Economics, University of Cambridge.
  9. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  10. King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-26, November.
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Cited by:
  1. Alejandro Justiniano & Claudio Michelacci, 2011. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies in the United States and Europe," NBER Chapters, in: NBER International Seminar on Macroeconomics 2011, pages 169-235 National Bureau of Economic Research, Inc.
  2. Luiz de Mello & Diego Moccero, 2007. "Monetary Policy and Macroeconomic Stability in Latin America: The Cases of Brazil, Chile, Colombia and Mexico," OECD Economics Department Working Papers 545, OECD Publishing.
  3. Ariane Szafarz, 2012. "Financial crises in efficient markets: How fundamentalists fuel volatility," ULB Institutional Repository 2013/149191, ULB -- Universite Libre de Bruxelles.
  4. Anderson, Gary S., 2010. "A reliable and computationally efficient algorithm for imposing the saddle point property in dynamic models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 472-489, March.
  5. Ariane Szafarz, 2010. "How Did Financial-Crisis-Based Criticisms of Market Efficiency Get It So Wrong?," DULBEA Working Papers 10-01.RS., ULB -- Universite Libre de Bruxelles.
  6. Garth Heutel, 2011. "Online Appendix to "How Should Environmental Policy Respond to Business Cycles? Optimal Policy under Persistent Productivity Shocks"," Technical Appendices 10-62, Review of Economic Dynamics.
  7. Dufour, Jean-Marie & Khalaf, Lynda & Kichian, Maral, 2013. "Identification-robust analysis of DSGE and structural macroeconomic models," Journal of Monetary Economics, Elsevier, vol. 60(3), pages 340-350.
  8. Heutel, Garth, 2011. "How Should Environmental Policy Respond to Business Cycles? Optimal Policy under Persistent Productivity Shocks," Working Papers 11-8, University of North Carolina at Greensboro, Department of Economics.
  9. Hirokazu Ishise, 2011. "The World Has More Than Two Countries: Implications of Multi- Country International Real Business Cycle Models," IMES Discussion Paper Series 11-E-11, Institute for Monetary and Economic Studies, Bank of Japan.
  10. Hernandez, Kolver, 2013. "A system reduction method to efficiently solve DSGE models," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 571-576.
  11. Iskrev, Nikolay, 2010. "Local identification in DSGE models," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 189-202, March.
  12. Alejandro Justiniano & Claudio Michelacci, 2011. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies in the US and Europe," NBER Working Papers 17429, National Bureau of Economic Research, Inc.
  13. Meyer-Gohde, Alexander, 2010. "Linear rational-expectations models with lagged expectations: A synthetic method," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 984-1002, May.
  14. Chib, Siddhartha & Ramamurthy, Srikanth, 2010. "Tailored randomized block MCMC methods with application to DSGE models," Journal of Econometrics, Elsevier, vol. 155(1), pages 19-38, March.

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