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A Fractional Cointegration Approach to Testing Mean Reversion Between Spot and Forward Exchange Rates: A Case of High Frequency Data with Low Frequency Dynamics

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  • Abul M.M. Masih
  • Rumi Masih

Abstract

This paper applies a relatively new but generalised concept of fractional cointegration to shed some light on the validity of a long‐run relationship between high frequency daily spot and the lagged forward Australian‐US dollar exchange rate. An investigation of the stochastic properties of these rates reveals that, while the relationship is not cointegrated in their logs, they appear to be fractionally cointegrated if we allow for mean reverting processes that are CI(1, d) with 0

Suggested Citation

  • Abul M.M. Masih & Rumi Masih, 1998. "A Fractional Cointegration Approach to Testing Mean Reversion Between Spot and Forward Exchange Rates: A Case of High Frequency Data with Low Frequency Dynamics," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 25(7‐8), pages 987-1003, September.
    • Handle: RePEc:bla:jbfnac:v:25:y:1998:i:7-8:p:987-1003
    DOI: 10.1111/1468-5957.00222
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    Cited by:

    1. Masih, Abul M. M. & Masih, Rumi, 1999. "Are Asian stock market fluctuations due mainly to intra-regional contagion effects? Evidence based on Asian emerging stock markets," Pacific-Basin Finance Journal, Elsevier, vol. 7(3-4), pages 251-282, August.
    2. Breitung, Jorg & Hassler, Uwe, 2002. "Inference on the cointegration rank in fractionally integrated processes," Journal of Econometrics, Elsevier, vol. 110(2), pages 167-185, October.
    3. Hassler, U. & Marmol, F. & Velasco, C., 2006. "Residual log-periodogram inference for long-run relationships," Journal of Econometrics, Elsevier, vol. 130(1), pages 165-207, January.
    4. Hassler, Uwe & Breitung, Jörg, 2002. "A Residual-Based LM Test for Fractional Cointegration," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 37318, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Khasanov, Khush & Masih, Mansur, 2016. "Macroeconomic variables and oil price: evidence from Turkey," MPRA Paper 110192, University Library of Munich, Germany.
    6. Moore, Michael J. & Roche, Maurice J., 2001. "Liquidity in the forward exchange market," Journal of Empirical Finance, Elsevier, vol. 8(2), pages 157-170, May.
    7. Uwe Hassler & Francesc Marmol & Carlos Velasco, 2008. "Fractional cointegration in the presence of linear trends," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(6), pages 1088-1103, November.
    8. Dzanan, Haris & Masih, Mansur, 2017. "Does currency depreciation necessarily result in positive trade balance ? new evidence from Norway," MPRA Paper 82103, University Library of Munich, Germany.

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