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An Investigation of Long Range Dependence in Intra-Day Foreign Exchange Rate Volatility

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  • Richard Payne
  • Marc Henry

Abstract

A comprehensive set of estimates of long memory in the volatility of three intra-day foreign exchange data series is presented. Robust semiparametric methods are used. Deseasonalizing procedures are proposed and permit the use of fully parametric methods which provide efficient tests of long memory. The hypothesis of long range dependence in the raw returns is rejected. In the volatility series, however, there is evidence of a long range dependent component, a finding which is significant and consistent across currencies. Furthermore, the hypothesis of I(1) volatility is strongly rejected in favour of a covariance stationary alternative, with evidence that previous findings of near-integrated volatility are due to the omission of long-range dependent components.

Suggested Citation

  • Richard Payne & Marc Henry, 1997. "An Investigation of Long Range Dependence in Intra-Day Foreign Exchange Rate Volatility," FMG Discussion Papers dp264, Financial Markets Group.
  • Handle: RePEc:fmg:fmgdps:dp264
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    Cited by:

    1. Robinson, Peter M. & Henry, Marc, 2003. "Higher-order kernel semiparametric M-estimation of long memory," Journal of Econometrics, Elsevier, vol. 114(1), pages 1-27, May.
    2. Perez, Ana & Ruiz, Esther, 2001. "Finite sample properties of a QML estimator of stochastic volatility models with long memory," Economics Letters, Elsevier, vol. 70(2), pages 157-164, February.
    3. Nuno Cassola & Claudio Morana, 2006. "Volatility of interest rates in the euro area: Evidence from high frequency data," The European Journal of Finance, Taylor & Francis Journals, pages 513-528.
    4. Luisa Bisaglia & Silvano Bordignon, 2002. "Mean square prediction error for long-memory processes," Statistical Papers, Springer, vol. 43(2), pages 161-175, April.
    5. Melvin, Michael & Yin, Xixi, 2000. "Public Information Arrival, Exchange Rate Volatility, and Quote Frequency," Economic Journal, Royal Economic Society, vol. 110(465), pages 644-661, July.
    6. Morana, Claudio & Beltratti, Andrea, 2004. "Structural change and long-range dependence in volatility of exchange rates: either, neither or both?," Journal of Empirical Finance, Elsevier, vol. 11(5), pages 629-658, December.
    7. Teyssière, Gilles, 1999. "Modelling exchange rates volatility with multivariate long-memory ARCH processes," SFB 373 Discussion Papers 1999,5, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.

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