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Fractional integration and business cycle features

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  • Candelon, Bertrand
  • Gil-Alaña, Luis A.

Abstract

We show in this article that fractionally integrated univariate models for GDP may lead to a better replication of business cycle characteristics. We firstly show that the business cycle features are clearly affected by the degree of integration as well as by the other short run components of the series. Then, we model the real GDP in France, the UK and the US by means of fractionally ARIMA (ARFIMA) models, and show that the three time series can be specified in terms of this type of models with orders of integration higher than one but smaller than two. Comparing the ARFIMA specifications with those based on ARIMA models, we show via simulations that the former better describes the business cycles features of the data at least for the cases of the UK and the US. --

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Bibliographic Info

Paper provided by Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes in its series SFB 373 Discussion Papers with number 2001,46.

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Date of creation: 2001
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Handle: RePEc:zbw:sfb373:200146

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Keywords: Long memory; Business cycles; Fractional integration;

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References

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  1. Zarnowitz, Victor & Moore, Geoffrey H, 1982. "Sequential Signals of Recession and Recovery," The Journal of Business, University of Chicago Press, vol. 55(1), pages 57-85, January.
  2. L A Gil-Alana & Peter M. Robinson, 2000. "Testing of seasonal fractional integration in UK and Japanese consumption and income," LSE Research Online Documents on Economics 2051, London School of Economics and Political Science, LSE Library.
  3. Romer, Christina D., 1994. "Remeasuring Business Cycles," The Journal of Economic History, Cambridge University Press, vol. 54(03), pages 573-609, September.
  4. Don Harding & Adrian Pagan, 2000. "Disecting the Cycle: A Methodological Investigation," Econometric Society World Congress 2000 Contributed Papers 1164, Econometric Society.
  5. Stock, James H. & Watson, Mark W., 1986. "Does GNP have a unit root?," Economics Letters, Elsevier, vol. 22(2-3), pages 147-151.
  6. Diebold, Francis X & Rudebusch, Glenn D, 1992. "Have Postwar Economic Fluctuations Been Stabilized?," American Economic Review, American Economic Association, vol. 82(4), pages 993-1005, September.
  7. Gerhard Bry & Charlotte Boschan, 1971. "Cyclical Analysis of Time Series: Selected Procedures and Computer Programs," NBER Books, National Bureau of Economic Research, Inc, number bry_71-1, July.
  8. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
  9. Romer, Christina D, 1986. "Is the Stabilization of the Postwar Economy a Figment of the Data?," American Economic Review, American Economic Association, vol. 76(3), pages 314-34, June.
  10. Gregory D. Hess & Shigeru Iwata, 1995. "Measuring business cycle features," Research Working Paper 95-10, Federal Reserve Bank of Kansas City.
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  12. William R. Parke, 1999. "What Is Fractional Integration?," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 632-638, November.
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  14. Artis, Michael J & Kontolemis, Zenon G & Osborn, Denise R, 1997. "Business Cycles for G7 and European Countries," The Journal of Business, University of Chicago Press, vol. 70(2), pages 249-79, April.
  15. Gil-Alana, Luis A., 1999. "Testing fractional integration with monthly data," Economic Modelling, Elsevier, vol. 16(4), pages 613-629, December.
  16. L. A. Gil-Alaña & Peter M. Robinson, 2001. "Testing of seasonal fractional integration in UK and Japanese consumption and income," LSE Research Online Documents on Economics 298, London School of Economics and Political Science, LSE Library.
  17. Hess, Gregory D & Iwata, Shigeru, 1997. "Measuring and Comparing Business-Cycle Features," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(4), pages 432-44, October.
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  20. Pierre-Yves Hénin & Bertrand Candelon, 1995. "La récession des années quatre-vingt dix a-t-elle été exceptionnelle ?," Économie et Prévision, Programme National Persée, vol. 120(4), pages 51-71.
  21. Neftci, Salih N, 1984. "Are Economic Time Series Asymmetric over the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 92(2), pages 307-28, April.
  22. Beaudry, Paul & Koop, Gary, 1993. "Do recessions permanently change output?," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 149-163, April.
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  24. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
  25. L A Gil-Alaña & Peter M Robinson, 2000. "Testing of Seasonal Fractional Integration in UK and Japanese Consumption and Income," STICERD - Econometrics Paper Series /2000/402, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  26. 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.
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Citations

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Cited by:
  1. Ekaterini Panopoulou & N. Pittis & S. Kalyvitis, 2006. "Looking far in the past:Revisiting the growth-returns nexus with non-parametric tests," Economics, Finance and Accounting Department Working Paper Series n1660306, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
  2. Guglielmo Maria Caporale & Juncal Cuñado & Luis A. Gil-Alana, 2013. "Modelling long-run trends and cycles in financial time series data," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(3), pages 405-421, 05.
  3. Roger Bowden & Jennifer Zhu, 2010. "Multi-scale variation, path risk and long-term portfolio management," Quantitative Finance, Taylor & Francis Journals, vol. 10(7), pages 783-796.
  4. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2005. "Long Run And Cyclical Dynamics In The Us Stock Market," Economics and Finance Discussion Papers 05-09, Economics and Finance Section, School of Social Sciences, Brunel University.
  5. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2004. "Long Memory At The Long Run And At The Cyclical Frequencies: Modelling Real Wages In England, 1260 -1994," Public Policy Discussion Papers 04-21, Economics and Finance Section, School of Social Sciences, Brunel University.
  6. L.A. Gil-Alanaa, 2007. "Testing The Existence of Multiple Cycles in Financial and Economic Time Series," Annals of Economics and Finance, Society for AEF, vol. 8(1), pages 1-20, May.

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