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Long Memory and Fractional Integration in High Frequency Data on the US Dollar / British Pound Spot Exchange Rate

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  • Guglielmo Maria Caporale
  • Luis A. Gil-Alana

Abstract

This paper analyses the long-memory properties of a high-frequency financial time series dataset. It focuses on temporal aggregation and other features of the data, and how they might affect the degree of dependence of the series. Fractional integration or I(d) models are estimated with a variety of specifications for the error term. In brief, we find evidence that a lower degree of integration is associated with lower data frequencies. In particular, when the data are collected every 10 minutes there are several cases with values of d strictly smaller than 1, implying mean-reverting behaviour; however, for higher data frequencies the unit root null cannot be rejected. This holds for all four series examined, namely Open, High, Low and Last observations for the US dollar / British pound spot exchange rate and for different sample periods.

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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 4224.

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Date of creation: 2013
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Handle: RePEc:ces:ceswps:_4224

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Keywords: high frequency data; long memory; volatility persistence; structural breaks;

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References

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  3. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2002. "Fractional integration and mean reversion in stock prices," The Quarterly Review of Economics and Finance, Elsevier, vol. 42(3), pages 599-609.
  4. G. Dufrenot & L. Mathieu & V. Mignon, & A. Peguin-Feissolle, 2002. "Persistent misalignments of the European exchange rates : some evidence from nonlinear cointegration," THEMA Working Papers 2002-29, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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  22. Ohanissian, Arek & Russell, Jeffrey R. & Tsay, Ruey S., 2008. "True or Spurious Long Memory? A New Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 161-175, April.
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Cited by:
  1. Mensi, Walid & Hammoudeh, Shawkat & Yoon, Seong-Min, 2014. "Structural breaks and long memory in modeling and forecasting volatility of foreign exchange markets of oil exporters: The importance of scheduled and unscheduled news announcements," International Review of Economics & Finance, Elsevier, vol. 30(C), pages 101-119.
  2. Slim Chaouachi & Zied Ftiti & Frédèric Teulon, 2014. "Modelling the Real Exchange Rate: A new Sequential Approach," Working Papers 2014-390, Department of Research, Ipag Business School.
  3. Slim Chaouachi & Zied Ftiti & Frederic Teulon, 2014. "Explaining the Tunisian Real Exchange: Long Memory versus Structural Breaks," Working Papers 2014-147, Department of Research, Ipag Business School.

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