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Fractional cointegration: Monte Carlo estimates of critical values, with an application

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  • P. S. Sephton

Abstract

A fractionally integrated series is mean-reverting, and may be covariance stationary. Recent interest in fractional integration has been extended to tests of whether series are fractionally cointegrated. This article provides simulated critical values for use in tests of fractional cointegration for up to six variables, over a number of sample sizes. An example illustrates the potential merits of tests for fractional cointegration.

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  • P. S. Sephton, 2002. "Fractional cointegration: Monte Carlo estimates of critical values, with an application," Applied Financial Economics, Taylor & Francis Journals, vol. 12(5), pages 331-335.
    • Handle: RePEc:taf:apfiec:v:12:y:2002:i:5:p:331-335
    DOI: 10.1080/09603100110086096
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    References listed on IDEAS

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    1. Baillie, Richard T & Bollerslev, Tim, 1994. "Cointegration, Fractional Cointegration, and Exchange Rate Dynamics," Journal of Finance, American Finance Association, vol. 49(2), pages 737-745, June.
    2. Sephton, Peter S, 1991. "Commodity Prices: Policy Target or Information Variable: A Comment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(2), pages 260-266, May.
    3. N/A, 1996. "Note:," Foreign Trade Review, , vol. 31(1-2), pages 1-1, January.
    4. Peter Sephton, 1996. "A note on fractional cointegration," Applied Economics Letters, Taylor & Francis Journals, vol. 3(10), pages 683-685.
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    Cited by:

    1. Choudhry, Taufiq, 1999. "Re-examining forward market efficiency Evidence from fractional and Harris-Inder cointegration tests," International Review of Economics & Finance, Elsevier, vol. 8(4), pages 433-453, November.
    2. Turvey, Calum G. & Power, Gabriel J., 2006. "The Confidence Limits of a Geometric Brownian Motion," 2006 Annual meeting, July 23-26, Long Beach, CA 21239, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Camilo Serrano & Martin Hoesli, 2012. "Fractional Cointegration Analysis of Securitized Real Estate," The Journal of Real Estate Finance and Economics, Springer, vol. 44(3), pages 319-338, April.
    4. P. S. Sephton, 2010. "Unit roots and purchasing power parity: another kick at the can," Applied Economics, Taylor & Francis Journals, vol. 42(27), pages 3439-3453.
    5. Valérie Mignon & Sandrine Lardic, 2003. "Cointégration fractionnaire entre la consommation et le revenu," Économie et Prévision, Programme National Persée, vol. 158(2), pages 123-142.
    6. J. Cunado & L. A. Gil-Alana & F. Perez de Gracia, 2007. "Testing for stock market bubbles using nonlinear models and fractional integration," Applied Financial Economics, Taylor & Francis Journals, vol. 17(16), pages 1313-1321.
    7. Sonila Beliu & Matthew Higgins, 2004. "Fractional cointegration analysis of EU convergence," Applied Economics, Taylor & Francis Journals, vol. 36(14), pages 1607-1611.
    8. S. Lardic & V. Mignon, 2002. "Fractional cointegration and term structure of interest rates," THEMA Working Papers 2002-28, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    9. Choudhry, Taufiq, 1999. "Purchasing Power Parity in High-Inflation Eastern European Countries: Evidence from Fractional and Harris-Inder Cointegration Tests," Journal of Macroeconomics, Elsevier, vol. 21(2), pages 293-308, April.
    10. Sandrine Lardic & Valérie Mignon, 2004. "Fractional cointegration and the term structure," Empirical Economics, Springer, vol. 29(4), pages 723-736, December.
    11. Marcel Aloy & Gilles de Truchis, 2012. "Estimation and Testing for Fractional Cointegration," Working Papers halshs-00793206, HAL.
    12. ERER, Deniz & ERER, Elif & GÜLEÇ, Tuna Can, 2016. "Fractional Cointegration Analysis Of Stock Market And Exchange Rates: The Case Of Turkey," Studii Financiare (Financial Studies), Centre of Financial and Monetary Research "Victor Slavescu", vol. 20(3), pages 80-94.
    13. Burcu Kiran, 2013. "A fractional cointegration analysis of Fisher hypothesis: evidence from Turkey," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(2), pages 1077-1084, February.
    14. Peter Sephton, 1996. "A note on fractional cointegration," Applied Economics Letters, Taylor & Francis Journals, vol. 3(10), pages 683-685.
    15. Burcu KIRAN, 2011. "On The Twin Deficits Hypothesis: Evidence From Turkey," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 11(1).
    16. Turvey, Calum G., 2007. "A note on scaled variance ratio estimation of the Hurst exponent with application to agricultural commodity prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 155-165.
    17. Adnan Kasman & Saadet Kirbas-Kasman & Evrim Turgutlu, 2005. "Nominal and real convergence between the CEE countries and the EU: a fractional cointegration analysis," Applied Economics, Taylor & Francis Journals, vol. 37(21), pages 2487-2500.

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