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Computing second-order-accurate solutions for rational expectation models using linear solution methods

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Author Info
Giovanni Lombardo () (European Central Bank, Kaiserstrasse 29, D-60311 Frankfurt am Main, Germany)
Alan Sutherland () (School of Economics and Finance, University of St Andrews, St Andrews, KY16 9AL, United Kingdom)

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Abstract

This paper shows how to compute a second-order accurate solution of a non-linear rational expectation model using algorithms developed for the solution of linear rational expectation models. The result is a state-space representation for the realized values of the variables of the model. This state-space representation can easily be used to compute impulse responses as well as conditional and unconditional forecasts.

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Paper provided by European Central Bank in its series Working Paper Series with number 487.

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Length: 25 pages
Date of creation: May 2005
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Handle: RePEc:ecb:ecbwps:20050487

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Related research
Keywords: Second order approximation Solution method for rational expectation models.

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Find related papers by JEL classification:
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
E0 - Macroeconomics and Monetary Economics - - General

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Christopher A. Sims & Jinill Kim & Sunghyun Kim, 2003. "Calculating and Using Second Order Accurate Solution of Discrete Time Dynamic Equilibrium Models," Computing in Economics and Finance 2003 162, Society for Computational Economics. [Downloadable!]
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  2. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September. [Downloadable!] (restricted)
  3. Lawrence J. Christiano, 1998. "Solving Dynamic Equilibrium Models by a Method of Undetermined Coefficients," NBER Technical Working Papers 0225, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Alan Sutherland, 2002. "A Simple Second-Order Solution Method for Dynamic General Equilibrium Models," Discussion Paper Series, Department of Economics 0211, Department of Economics, University of St. Andrews. [Downloadable!]
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  5. Pierpaolo Benigno & Michael Woodford, 2004. "Optimal monetary and fiscal policy: a linear-quadratic approach," International Finance Discussion Papers 806, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  6. Kim, Jinill & Kim, Sunghyun Henry, 2003. "Spurious welfare reversals in international business cycle models," Journal of International Economics, Elsevier, vol. 60(2), pages 471-500, August. [Downloadable!] (restricted)
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  7. Harald Uhlig, 1998. "A Toolkit for Analysing Nonlinear Dynamic Stochastic Models Easily," QM&RBC Codes 123, Quantitative Macroeconomics & Real Business Cycles. [Downloadable!]
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  8. King, Robert G & Watson, Mark W, 2002. "System Reduction and Solution Algorithms for Singular Linear Difference Systems under Rational Expectations," Computational Economics, Springer, vol. 20(1-2), pages 57-86, October. [Downloadable!]
  9. Canton, E., 1996. "Business cycles in a two-sector model of endogenous growth," Discussion Paper 116, Tilburg University, Center for Economic Research. [Downloadable!]
  10. Pierpaolo Benigno & Michael Woodford, 2004. "Optimal Stabilization Policy When Wages and Prices are Sticky: The Case of a Distorted Steady State," NBER Working Papers 10839, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January. [Downloadable!] (restricted)
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  12. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Henri Pagès & David Humphrey, 2005. "Settlement finality as a public good in large-value payment systems," Working Paper Series 506, European Central Bank. [Downloadable!]
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  2. Gianni Amisano & Oreste Tristani, 2007. "Euro area inflation persistence in an estimated nonlinear DSGE model," Working Paper Series 754, European Central Bank. [Downloadable!]
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  3. Devereux, Michael B & Sutherland, Alan, 2007. "Country Portfolio Dynamics," CEPR Discussion Papers 6208, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  4. Katrin Tinn, 2005. "Optimal research in financial markets with heterogeneous private information a rational expectations model," Working Paper Series 493, European Central Bank. [Downloadable!]
  5. Matthias Mohr, 2005. "A Trend-Cycle(-Season) Filter," Econometrics 0508004, EconWPA. [Downloadable!]
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  6. Barbara Annicchiarico & Luisa Corrado & Alessandra Pelloni, 2008. " Long-Term Growth and Short-Term Volatility: The Labour Market Nexus," CDMA Working Paper Series 0806, Centre for Dynamic Macroeconomic Analysis. [Downloadable!]
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  7. Devereux, Michael B & Sutherland, Alan, 2006. "Solving for Country Portfolios in Open Economy Macro Models," CEPR Discussion Papers 5966, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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