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Computing Second-Order-Accurate Solutions for Rational Expectation Models Using Linear Solution Methods

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  • Giovanni Lombardo

  • Alan Sutherland

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. This 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.

Suggested Citation

  • Giovanni Lombardo & Alan Sutherland, 2005. "Computing Second-Order-Accurate Solutions for Rational Expectation Models Using Linear Solution Methods," CDMA Conference Paper Series 0504, Centre for Dynamic Macroeconomic Analysis.
    • Handle: RePEc:san:cdmacp:0504
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    File URL: https://www.st-andrews.ac.uk/CDMA/papers/cp0504.pdf
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    8. Pierpaolo Benigno & Michael Woodford, 2004. "Optimal Monetary and Fiscal Policy: A Linear-Quadratic Approach," NBER Chapters, in: NBER Macroeconomics Annual 2003, Volume 18, pages 271-364, National Bureau of Economic Research, Inc.
    9. Pierpaolo Benigno & Michael Woodford, 2005. "Optimal stabilization policy when wages and prices are sticky: the case of a distorted steady state," Proceedings, Board of Governors of the Federal Reserve System (U.S.), pages 127-180.
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    Cited by:

    1. Sutherland, Alan & Devereux, Michael B, 2006. "Solving for Country Portfolios in Open Economy Macro Models," CEPR Discussion Papers 5966, C.E.P.R. Discussion Papers.
    2. Gomme, Paul & Klein, Paul, 2011. "Second-order approximation of dynamic models without the use of tensors," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 604-615, April.
    3. Devereux, Michael B. & Sutherland, Alan, 2010. "Country portfolio dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1325-1342, July.
    4. Matthias Mohr, 2005. "A Trend-Cycle(-Season) Filter," Econometrics 0508004, University Library of Munich, Germany.
    5. Ozge Senay & Alan Sutherland, 2008. "A quantitative analysis of cost-push shocks and optimal inflation volatility," Applied Economics Letters, Taylor & Francis Journals, vol. 15(10), pages 753-757.
    6. Lombardo, Giovanni, 2006. "Inflation targeting rules and welfare in an asymmetric currency area," Journal of International Economics, Elsevier, vol. 68(2), pages 424-442, March.
    7. Daniel Burren, 2010. "The Term Structure of Interest Rates in a New Keynesian Model with Time-Varying Macro Volatility," Annals of Economics and Finance, Society for AEF, vol. 11(2), pages 277-299, November.

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    Keywords

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    JEL classification:

    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury Policy
    • E0 - Macroeconomics and Monetary Economics - - General

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