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Solving Forward-Looking Models of Cross-Country Adjustment within the Euro Area

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  • Andrzej Torój

    (Warsaw School of Economics and Ministry of Finance in Poland)

Abstract

This article introduces and applies two refinements to the algorithm of solving rational expectations models of a currency union. Firstly, building upon Klein (2000), it generalizes the standard methods of solving rational expectations models to the case of time-varying nonstochastic parameters, recurring in a finite cycle. Such a specification occurs in a simple stylized New Keynesian model of the euro area after a joint introduction of (i) rotation in the ECB Governing Council (as constituted by the Treaty of Nice) and (ii) home bias in the interest rate decisions preferred by its members. Secondly, we apply the method of Christiano (2002) to solve the model with heterogenous information sets. This is justified if we argue that the information set of domestic economic agents in a currency union is home-biased (i.e. foreign shocks enter only with a lag). Both methods of solution are illustrated with simulation results.

Suggested Citation

  • Andrzej Torój, 2009. "Solving Forward-Looking Models of Cross-Country Adjustment within the Euro Area," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 1(3), pages 211-241, November.
    • Handle: RePEc:psc:journl:v:1:y:2009:i:3:p:211-241
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    1. Yunus Aksoy & Paul De Grauwe & Hans Dewachter, 2014. "Do Asymmetries Matter for European Monetary Policy?," World Scientific Book Chapters, in: Exchange Rates and Global Financial Policies, chapter 13, pages 321-353, World Scientific Publishing Co. Pte. Ltd..
    2. Séverine Menguy, 2009. "Heterogeneity in Inflation Persistence and Monetary Policy in a Monetary Union," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 52(2), pages 121-141.
    3. Christiano, Lawrence J, 2002. "Solving Dynamic Equilibrium Models by a Method of Undetermined Coefficients," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 21-55, October.
    4. Berger, Helge & Ehrmann, Michael & Fratzscher, Marcel, 2006. "Forecasting ECB monetary policy: accuracy is (still) a matter of geography," Discussion Papers 2006/11, Free University Berlin, School of Business & Economics.
    5. Volker Clausen & Bernd Hayo, 2006. "Asymmetric monetary policy effects in EMU," Applied Economics, Taylor & Francis Journals, vol. 38(10), pages 1123-1134.
    6. Ansgar Belke & Barbara Styczynska, 2006. "The Allocation of Power in the Enlarged ECB Governing Council: An Assessment of the ECB Rotation Model," Journal of Common Market Studies, Wiley Blackwell, vol. 44(5), pages 865-897, December.
    7. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    8. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, April.
    9. Brissimis, Sophocles N. & Skotida, Ifigeneia, 2008. "Optimal monetary policy in the euro area in the presence of heterogeneity," Journal of International Money and Finance, Elsevier, vol. 27(2), pages 209-226, March.
    10. Benigno, Pierpaolo & Lopez-Salido, J. David, 2006. "Inflation Persistence and Optimal Monetary Policy in the Euro Area," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(3), pages 587-614, April.
    11. Fuhrer, Jeffrey C. & Rudebusch, Glenn D., 2004. "Estimating the Euler equation for output," Journal of Monetary Economics, Elsevier, vol. 51(6), pages 1133-1153, September.
    12. Farmer, Roger E.A. & Waggoner, Daniel F. & Zha, Tao, 2011. "Minimal state variable solutions to Markov-switching rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2150-2166.
    13. Benigno, Pierpaolo, 2004. "Optimal monetary policy in a currency area," Journal of International Economics, Elsevier, vol. 63(2), pages 293-320, July.
    14. Charles Goodhart & Boris Hofmann, 2005. "The Phillips Curve, the IS Curve and Monetary Transmission: Evidence for the US and the Euro Area," CESifo Economic Studies, CESifo Group, vol. 51(4), pages 757-775.
    15. Richard Clarida & Jordi Gali & Mark Gertler, 2001. "Optimal Monetary Policy in Open versus Closed Economies: An Integrated Approach," American Economic Review, American Economic Association, vol. 91(2), pages 248-252, May.
    16. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    17. Ansgar Belke, 2003. "The rotation model is not sustainable," Intereconomics: Review of European Economic Policy, Springer;ZBW - Leibniz Information Centre for Economics;Centre for European Policy Studies (CEPS), vol. 38(3), pages 119-124, May.
    18. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    19. Soderlind, Paul, 1999. "Solution and estimation of RE macromodels with optimal policy," European Economic Review, Elsevier, vol. 43(4-6), pages 813-823, April.
    20. 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.
    21. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    22. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    23. Andrzej Toroj, 2009. "Macroeconomic adjustment and heterogeneity in the euro area," NBP Working Papers 54, Narodowy Bank Polski.
    24. Agnès Bénassy-Quéré & Edouard Turkisch, 2005. "ECB Governance in an Enlarged Eurozone," Working Papers 2005-20, CEPII research center.
    25. Richard Clarida & Jordi Gali & Mark Gertler, 2001. "Optimal Monetary Policy in Closed versus Open Economies: An Integrated Approach," NBER Working Papers 8604, National Bureau of Economic Research, Inc.
    26. David N. DeJong & Chetan Dave, 2007. "Introduction to Structural Macroeconometrics," Introductory Chapters, in: Structural Macroeconometrics, Princeton University Press.
    27. Fabio Rumler, 2007. "Estimates of the Open Economy New Keynesian Phillips Curve for Euro Area Countries," Open Economies Review, Springer, vol. 18(4), pages 427-451, September.
    28. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    29. Stephan Sauer & Jan-Egbert Sturm, 2003. "Using Taylor Rules to Understand ECB Monetary Policy," CESifo Working Paper Series 1110, CESifo.
    30. repec:bla:jcmkts:v:44:y:2006:i::p:865-897 is not listed on IDEAS
    31. Linde, Jesper, 2005. "Estimating New-Keynesian Phillips curves: A full information maximum likelihood approach," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1135-1149, September.
    32. Mavroeidis, Sophocles, 2005. "Identification Issues in Forward-Looking Models Estimated by GMM, with an Application to the Phillips Curve," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(3), pages 421-448, June.
    33. Gerlach-Kristen, Petra, 2006. "Monetary policy committees and interest rate setting," European Economic Review, Elsevier, vol. 50(2), pages 487-507, February.
    34. Lars Calmfors & Giancarlo Corsetti & Michael P. Devereux & Seppo Honkapohja & Gilles Saint-Paul & Hans-Werner Sinn & Jan-Egbert Sturm & Xavier Vives, 2007. "EEAG Report on the European Economy 2007," EEAG Report on the European Economy, CESifo, vol. 0, pages 1-156, February.
    35. Gerdesmeier, Dieter & Roffia, Barbara & Eleftheriou, Maria, 2006. "Monetary policy rules in the pre-EMU era: Is there a common rule?," Working Paper Series 659, European Central Bank.
    36. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    37. Gebhard Flaig & Timo Wollmershäuser, 2007. "Does the Euro-zone Diverge? A Stress Indicator for Analyzing Trends and Cycles in Real GDP and Inflation," CESifo Working Paper Series 1937, CESifo.
    38. Marimon, Ramon & Scott, Andrew (ed.), 1999. "Computational Methods for the Study of Dynamic Economies," OUP Catalogue, Oxford University Press, number 9780198294979.
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    More about this item

    Keywords

    solving rational expectations models; generalized Schur decomposition; heterogenous information sets; method of Christiano; divergences in EMU;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • F15 - International Economics - - Trade - - - Economic Integration

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