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Fractional integration and business cycle features

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  • Bertrand Candelon
  • Luis A. Gil-Alana

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Abstract

We show in this article that fractionally integrated univariate models for GDP lead to a better replication of the main 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 (AR, MA, etc.) components of the series. Then, we model the real GDP in the UK and the US by means of fractionally ARIMA (ARFIMA) model, and show that the time series can be specified in terms of this type of model 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 describe the business cycles features of the data. Copyright Springer-Verlag 2004

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Bibliographic Info

Article provided by Springer in its journal Empirical Economics.

Volume (Year): 29 (2004)
Issue (Month): 2 (05)
Pages: 343-359

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Handle: RePEc:spr:empeco:v:29:y:2004:i:2:p:343-359

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Keywords: Long memory; business cycles; fractional integration;

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References

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  1. L. A. Gil-Alana & P. M. Robinson, 2001. "Testing of seasonal fractional integration in UK and Japanese consumption and income," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 95-114.
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Citations

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Cited by:
  1. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2004. "Long-run and Cyclical Dynamics in the US Stock Market," Economics Series 155, Institute for Advanced Studies.
  2. 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.
  3. 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.
  4. 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.
  5. Guglielmo Caporale & Luis Gil-Alana, 2006. "Long memory at the long run and at the cyclical frequencies: modelling real wages in England, 1260–1994," Empirical Economics, Springer, vol. 31(1), pages 83-93, March.
  6. 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.

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