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A Time-Frequency Analysis of the Coherences of the US Business

Author

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  • Christian Richter
  • Andrew Hughes Hallett

    (Economics Loughborough University)

Abstract

The dating of a possible European business cycle has been inconclusive. At this stage, there is no consensus on the existence of such a cycle, or of its periodicity and amplitude, or of the relationship of individual member countries to that cycle. Yet cyclical convergence is the key consideration for countries that wish to be members of the currency union. The confusion over whether and to what degree the UK is converging on the cycles of her European partners, or whether her cycle is more in line with the US, is an example of this lack of consensus. We show that countries will vary in the components and characteristics that make up their output cycles, as well as in the state of their cycle at any point of time. Next, we show how to decompose a business cycle in a time-frequency framework. This allows us to decompose movements in output, both at the European level and in member countries, into their component cycles and allows those component cycles to vary in importance and cyclical characteristics over time. It also allows us to determine if the inconclusive convergence results so far have appeared because member countries have some cycles in common, but diverge at other frequencies

Suggested Citation

  • Christian Richter & Andrew Hughes Hallett, 2005. "A Time-Frequency Analysis of the Coherences of the US Business," Computing in Economics and Finance 2005 45, Society for Computational Economics.
  • Handle: RePEc:sce:scecf5:45
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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Frankel, Jeffrey A & Rose, Andrew K, 1998. "The Endogeneity of the Optimum Currency Area Criteria," Economic Journal, Royal Economic Society, vol. 108(449), pages 1009-1025, July.
    3. Andrew B. Bernard & Steven N. Durlauf, 1991. "Convergence of International Output Movements," NBER Working Papers 3717, National Bureau of Economic Research, Inc.
    4. Sala-i-Martin, Xavier X., 1996. "Regional cohesion: Evidence and theories of regional growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1325-1352, June.
    5. Robert J. Barro, 1991. "Economic Growth in a Cross Section of Countries," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 407-443.
    6. Andrew Hughes Hallett & Christian R. Richter, 2002. "Are Capital Markets Efficient? Evidence from the Term Structure of Interest Rates in Europe," The Economic and Social Review, Economic and Social Studies, vol. 33(3), pages 333-356.
    7. Marcelle Chauvet & Simon Potter, 2001. "Recent Changes in the US Business Cycle," Manchester School, University of Manchester, vol. 69(5), pages 481-508, October.
    8. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-251, April.
      • Barro, R.J. & Sala-I-Martin, X., 1991. "Convergence," Papers 645, Yale - Economic Growth Center.
      • Barro, Robert J. & Sala-i-Martin, Xavier, 1992. "Convergence," Scholarly Articles 3451299, Harvard University Department of Economics.
    9. Quah, D., 1990. "Galton'S Fallacy And The Tests Of The Convergence Hypothesis," Working papers 552, Massachusetts Institute of Technology (MIT), Department of Economics.
    10. Torres,Francisco & Giavazzi,Francesco (ed.), 1993. "Adjustment and Growth in the European Monetary Union," Cambridge Books, Cambridge University Press, number 9780521440196, October.
    11. Levy, Daniel & Dezhbakhsh, Hashem, 2003. "International Evidence on Output Fluctuation and Shock Persistence," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 50(7), pages 1499-1530.
    12. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 70(1), pages 65-94.
    13. Prasad, Eswar S, 1999. "International Trade and the Business Cycle," Economic Journal, Royal Economic Society, vol. 109(458), pages 588-606, October.
    14. Mojon, Benoît & Agresti, Anna Maria, 2001. "Some stylised facts on the euro area business cycle," Working Paper Series 95, European Central Bank.
    15. Ferdinand Fichtner, 2003. "Germany and the European Business Cycle - An Analysis of Causal Relations in an International Real Business Cycle Model," IWP Discussion Paper Series 01/2003, Institute for Economic Policy, Cologne, Germany.
    16. James H. Stock & Mark W. Watson, 2003. "Has the Business Cycle Changed and Why?," NBER Chapters, in: NBER Macroeconomics Annual 2002, Volume 17, pages 159-230, National Bureau of Economic Research, Inc.
    17. Papell, David H & Prodan, Ruxandra, 2004. "The Uncertain Unit Root in U.S. Real GDP: Evidence with Restricted and Unrestricted Structural Change," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(3), pages 423-427, June.
    18. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 407-437.
    19. Andrew Hughes Hallett & Christian R. Richter, 2004. "Spectral Analysis as a Tool for Financial Policy: An Analysis of the Short-End of the British Term Structure," Computational Economics, Springer;Society for Computational Economics, vol. 23(3), pages 271-288, April.
    20. Olivier Blanchard & John Simon, 2001. "The Long and Large Decline in U.S. Output Volatility," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 32(1), pages 135-174.
    21. Evans, Paul & Karras, Georgios, 1996. "Convergence revisited," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 249-265, April.
    22. Tamim Bayoumi & Barry Eichengreen, 1992. "Shocking Aspects of European Monetary Unification," NBER Working Papers 3949, National Bureau of Economic Research, Inc.
    23. David E. Rapach, 2002. "Are Real GDP Levels Nonstationary? Evidence from Panel Data Tests," Southern Economic Journal, John Wiley & Sons, vol. 68(3), pages 473-495, January.
    24. Robert J. Barro & Xavier Sala-i-Martin, 1991. "Convergence across States and Regions," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(1), pages 107-182.
    25. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    26. Hossein Samiei & Mr. Zenon Kontolemis, 2000. "The U.K. Business Cycle, Monetary Policy, and EMU Entry," IMF Working Papers 2000/210, International Monetary Fund.
    27. Inklaar, Robert & de Haan, Jakob, 2001. "Is There Really a European Business Cycle? A Comment," Oxford Economic Papers, Oxford University Press, vol. 53(2), pages 215-220, April.
    28. Perron, P., 1987. "The Great Crash, the Oil Prices and the Unit Root Hypothesis," Cahiers de recherche 8749, Universite de Montreal, Departement de sciences economiques.
    29. Wolff, Edward N, 1991. "Capital Formation and Productivity Convergence over the Long Term," American Economic Review, American Economic Association, vol. 81(3), pages 565-579, June.
    30. Hughes Hallett, A. & Piscitelli, Laura, 2002. "Does trade integration cause convergence?," Economics Letters, Elsevier, vol. 75(2), pages 165-170, April.
    31. Khurshid M. Kiani & Prasad V. Bidarkota, 2004. "On Business Cycle Asymmetries in G7 Countries," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(3), pages 333-351, July.
    32. Luca Benati, 2001. "Band-pass filtering, cointegration, and business cycle analysis," Bank of England working papers 142, Bank of England.
    33. Peter McAdam, 2007. "USA, Japan and the Euro Area: Comparing Business-Cycle Features," International Review of Applied Economics, Taylor & Francis Journals, vol. 21(1), pages 135-156.
    34. Rob Luginbuhl & Siem Jan Koopman, 2004. "Convergence in European GDP series: a multivariate common converging trend-cycle decomposition," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(5), pages 611-636.
    35. Rob Luginbuhl & Siem Jan Koopman, 2003. "Convergence in European GDP Series," Tinbergen Institute Discussion Papers 03-031/4, Tinbergen Institute.
    36. James H. Stock & Mark W. Watson, 2005. "Understanding Changes In International Business Cycle Dynamics," Journal of the European Economic Association, MIT Press, vol. 3(5), pages 968-1006, September.
    37. W A Razzak, 1998. "Business cycle asymmetries and the nominal exchange rate regimes," Reserve Bank of New Zealand Discussion Paper Series G98/4, Reserve Bank of New Zealand.
    38. U. -G. Gerdtham & M. Lothgren, 2002. "New panel results on cointegration of international health expenditure and GDP," Applied Economics, Taylor & Francis Journals, vol. 34(13), pages 1679-1686.
    39. Robert Inklaar & Jakob de Haan & Jakob de Haan, 2000. "Is there Really a European Business Cycle?," CESifo Working Paper Series 268, CESifo.
    40. Quah, Danny, 1993. " Galton's Fallacy and Tests of the Convergence Hypothesis," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(4), pages 427-443, December.
    41. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Cited by:

    1. Matthieu Lemoine, 2006. "Annex A5 : A model of the stochastic convergence between euro area business cycles," SciencePo Working papers Main hal-00972793, HAL.
    2. Jitka Poměnková & Svatopluk Kapounek & Roman Maršálek, 2011. "Comparison of methodological approaches to identify economic activity regularities in transition economy," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 59(7), pages 283-292.
    3. repec:hal:spmain:info:hdl:2441/1461 is not listed on IDEAS
    4. Andrew Hughes Hallett & Christian Richter, 2011. "Is there clustering among the Eurozone economies? Evidence from how the EU's New Member States are converging," Journal of Economic Policy Reform, Taylor & Francis Journals, vol. 14(2), pages 127-150.
    5. 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).
    6. Luís Aguiar-Conraria & Manuel M. F. Martins & Maria Joana Soares, 2011. "Synchronization of Economic Sentiment Cycles in the Euro Area: a time-frequency analysis," CEF.UP Working Papers 1105, Universidade do Porto, Faculdade de Economia do Porto.

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    More about this item

    Keywords

    Time-Frequency Analysis; Coherence; Growth Rates; Business Cycle;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C29 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Other
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other

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