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Measuring Synchronisation and Convergence of Business Cycles

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Author Info
Siem Jan Koopman () (Faculty of Economics and Business Administration, Vrije Universiteit Amsterdam)
Joao Valle e Azevedo () (Faculty of Economics and Business Administration, Vrije Universiteit Amsterdam)

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Abstract

This paper investigates business cycle relations among different economies in the Euro area. Cyclical dynamics are explicitly modelled as part of a time series model. We introduce mechanisms that allow for increasing or diminishing phase shifts and for time-varying association patterns in different cycles. Standard Kalman filter techniques are used to estimate the parameters simultaneously by maximum likelihood. The empirical illustrations are based on gross domestic product (GDP) series of seven European countries which are compared with the GDP series of the Euro Area and that of the United States. The original integrated time series are band-pass filtered. We find that there is an increasing resemblance between the business cycle fluctuations of the European countries analysed and those of the Euro area, although with varying patterns.

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Publisher Info
Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 03-052/4.

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Date of creation: 13 Jun 2003
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Handle: RePEc:dgr:uvatin:20030052

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Related research
Keywords: Band-pass filter; Cyclical convergence; Kalman filter; Unobserved components time series models; Phase shifts.;

Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

References listed on IDEAS
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. Engle, Robert F & Kozicki, Sharon, 1993. "Testing for Common Features," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(4), pages 369-80, October.
    Other versions:
  2. Ignazio Angeloni & Luca Dedola, 1999. "From the ERM to the euro: new evidence on economic and policy convergence among EU countries," Working Paper Series 4, European Central Bank. [Downloadable!]
    Other versions:
  3. Diebold, Francis X & Rudebusch, Glenn D, 1996. "Measuring Business Cycles: A Modern Perspective," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 67-77, February. [Downloadable!] (restricted)
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  4. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March. [Downloadable!] (restricted)
  5. Harvey, A C, 1985. "Trends and Cycles in Macroeconomic Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 3(3), pages 216-27, June.
  6. Siem Jan Koopman & Neil Shephard & Jurgen A. Doornik, 1999. "Statistical algorithms for models in state space using SsfPack 2.2," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 107-160.
    Other versions:
  7. Marianne Baxter & Robert G. King, 1999. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 575-593, November. [Downloadable!] (restricted)
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  8. Artis, Michael J & Zhang, W, 1997. "International Business Cycles and the ERM: Is There a European Business Cycle?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 2(1), pages 1-16, January. [Downloadable!] (restricted)
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  9. Fagan, Gabriel & Henry, Jerome & Mestre, Ricardo, 2005. "An area-wide model for the euro area," Economic Modelling, Elsevier, vol. 22(1), pages 39-59, January. [Downloadable!] (restricted)
  10. Mike Artis & Hans-Martin Krolzig & Juan Toro, 2002. "The European Business Cycle," Economic Working Papers at Centro de Estudios Andaluces E2002/19, Centro de Estudios Andaluces. [Downloadable!]
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  11. Mark A. Wynne & Jahyeong Koo, 1997. "Business cycles under monetary union: EU and US business cycles compared," Working Papers 97-07, Federal Reserve Bank of Dallas. [Downloadable!]
  12. Don Harding & Adrian Pagan, 1999. "Dissecting the Cycle," Melbourne Institute Working Paper Series wp1999n13, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne. [Downloadable!]
  13. Engle, Robert F & Kozicki, Sharon, 1993. "Testing for Common Features: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(4), pages 393-95, October.
  14. Hans-Martin Krolzig & Juan Toro, 2002. "Classical and Modern Business Cycle Measurement: The European Case," Economic Working Papers at Centro de Estudios Andaluces E2002/20, Centro de Estudios Andaluces. [Downloadable!]
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  15. Gerhard Runstler, 2004. "Modelling phase shifts among stochastic cycles," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 232-248, 06. [Downloadable!] (restricted)
  16. Gabriel Fagan & Jérôme Henry & Ricardo Mestre, 2001. "An area-wide model (AWM) for the euro area," Working Paper Series 42, European Central Bank. [Downloadable!]
  17. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January. [Downloadable!] (restricted)
  18. Tamim Bayoumi and Barry Eichengreen., 1992. "Shocking Aspects of European Monetary Unification," Economics Working Papers 92-187, University of California at Berkeley. [Downloadable!]
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  19. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, 05. [Downloadable!] (restricted)
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  20. Rob Luginbuhl & Siem Jan Koopman, 2003. "Convergence in European GDP Series," Tinbergen Institute Discussion Papers 03-031/4, Tinbergen Institute. [Downloadable!]
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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. Matteo M. Pelagatti, 2005. "Business cycle and sector cycles," Econometrics 0503006, EconWPA. [Downloadable!]
  2. Matthieu Lemoine, 2005. "A model of the stochastic convergence between business cycles," Documents de Travail de l'OFCE 2005-05, Observatoire Francais des Conjonctures Economiques (OFCE). [Downloadable!]
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