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Hopf bifurcation in the Clarida, Gali, and Gertler model

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  • Barnett, William A.
  • Eryilmaz, Unal

Abstract

We explore bifurcation phenomena in the open-economy New Keynesian model developed by Clarida, Gali and Gertler (2002). We find that the open economy framework can bring 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. Without adequate prior econometric research, policy design needs to take into consideration that a change in monetary policy can produce an unanticipated bifurcation.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 40668.

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Date of creation: 13 Aug 2012
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Handle: RePEc:pra:mprapa:40668

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Keywords: stability; bifurcation; open economy; New Keynesian; macroeconomics; dynamic systems;

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References

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  1. Barnett, William A. & Duzhak, Evgeniya A., 2007. "Non-Robust Dynamic Inferences from Macroeconometric Models: Bifurcation Stratification of Confidence Regions," MPRA Paper 6005, University Library of Munich, Germany.
  2. Barnett, William A. & He, Yijun, 2002. "Stabilization Policy As Bifurcation Selection: Would Stabilization Policy Work If The Economy Really Were Unstable?," Macroeconomic Dynamics, Cambridge University Press, vol. 6(05), pages 713-747, November.
  3. Clarida, Richard & Galí, Jordi & Gertler, Mark, 2002. "A Simple Framework for International Monetary Policy Analysis," CEPR Discussion Papers 3355, C.E.P.R. Discussion Papers.
  4. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
  5. 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.
  6. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer, vol. 45(1), pages 99-128, October.
  7. Jordi Gali & Tommaso Monacelli, 1999. "Optimal Monetary Policy and Exchange Rate Volatility in a Small Open Economy," Boston College Working Papers in Economics 438, Boston College Department of Economics, revised 15 Nov 1999.
  8. Jordi Gal� & Tommaso Monacelli, 2005. "Monetary Policy and Exchange Rate Volatility in a Small Open Economy," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 707-734.
  9. Barnett William A. & He Yijun, 1999. "Stability Analysis of Continuous-Time Macroeconometric Systems," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(4), pages 1-22, January.
  10. Yijun He & William A. Barnett, 2004. "Singularity Bifurcation," Macroeconomics 0409024, EconWPA, revised 13 Oct 2004.
  11. Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, December.
  12. 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.
  13. William Barnett & Unal Eryilmaz, 2012. "An Analytical and Numerical Search for Bifurcations in Open Economy New Keynesian Models," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201210, University of Kansas, Department of Economics, revised Aug 2012.
  14. Eric M. Leeper & Christopher A. Sims, 1994. "Toward a Modern Macroeconomic Model Usable for Policy Analysis," NBER Working Papers 4761, National Bureau of Economic Research, Inc.
  15. Senay, Ozge & Sutherland, Alan, 2004. "The Expenditure Switching Effect and the Choice Between Fixed and Floating Exchange Rates," CEPR Discussion Papers 4300, C.E.P.R. Discussion Papers.
  16. Wei Dong, 2007. "Expenditure-Switching Effect and the Choice of Exchange Rate Regime," Working Papers 07-54, Bank of Canada.
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Cited by:
  1. Barnett, William A. & Ghosh, Taniya, 2013. "Stability analysis of Uzawa-Lucas endogenous growth model," MPRA Paper 47231, University Library of Munich, Germany.

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