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An analytical and numerical search for bifurcations in open economy New Keynesian models

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  • Barnett, William
  • Eryilmaz, Unal

Abstract

We explore bifurcation phenomena in the open-economy New Keynesian model developed by Gali and Monacelli (2005). We find that the open economy framework brings about more complex dynamics, along with a wider variety of qualitative behaviors and policy responses. Introducing parameters related to the open economy structure affects the values of bifurcation parameters and changes the location of bifurcation boundaries. As a result, the stratification of the confidence region, as previously seen in closed-economy New Keynesian models, remains an important research and policy risk to be considered in the context of the open-economy New Keynesian functional structures. In fact, econometrics and optimal policy design become more complex within an open economy. Dynamical inferences need to be qualified by the risk of bifurcation boundaries crossing the confidence regions. Policy design needs to take into consideration that a change in monetary policy can produce an unanticipated bifurcation, without adequate prior econometrics research.

Suggested Citation

  • Barnett, William & Eryilmaz, Unal, 2012. "An analytical and numerical search for bifurcations in open economy New Keynesian models," MPRA Paper 40426, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:40426
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    References listed on IDEAS

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    1. Campbell Leith & Ioana Moldovan & Raffaele Rossi, 2012. "Optimal Monetary Policy in a New Keynesian Model with Habits in Consumption," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(3), pages 416-435, July.
    2. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 99-128, October.
    3. Ronald Schettkat & Rongrong Sun, 2009. "Monetary policy and European unemployment," Oxford Review of Economic Policy, Oxford University Press, vol. 25(1), pages 94-108, Spring.
    4. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    5. Banerjee, Sanjibani & A. Barnett, William & A. Duzhak, Evgeniya & Gopalan, Ramu, 2011. "Bifurcation analysis of Zellner's Marshallian Macroeconomic Model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1577-1585, September.
    6. Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, May.
    7. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    8. Airaudo, Marco & Zanna, Luis-Felipe, 2012. "Interest rate rules, endogenous cycles, and chaotic dynamics in open economies," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1566-1584.
    9. Bergstrom, A. R. & Nowman, K. B. & Wymer, C. R., 1992. "Gaussian estimation of a second order continuous time macroeconometric model of the UK," Economic Modelling, Elsevier, vol. 9(4), pages 313-351, October.
    10. Campbell Leith & Ioana Moldovan & Raffaele Rossi, 2012. "Optimal Monetary Policy in a New Keynesian Model with Habits in Consumption," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(3), pages 416-435, July.
    11. Demirel, Ufuk Devrim, 2010. "Macroeconomic stabilization in developing economies: Are optimal policies procyclical?," European Economic Review, Elsevier, vol. 54(3), pages 409-428, April.
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    Cited by:

    1. Barnett, William A. & Eryilmaz, Unal, 2013. "Hopf bifurcation in the Clarida, Gali, and Gertler model," Economic Modelling, Elsevier, vol. 31(C), pages 401-404.
    2. repec:taf:oaefxx:v:5:y:2017:i:1:p:1327184 is not listed on IDEAS

    More about this item

    Keywords

    stability; bifurcation; open economy; New Keynesian; determinacy; macroeconomics; dynamic systems;

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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