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Fractional integration and cointegration in stock prices and exchange rates

Author

Listed:
  • Marcel Aloy

    (DEFI, Université de la Méditerranée, France)

  • Mohamed Boutahar

    (GREQAM, Université de la Méditerranée, France)

  • Karine Gente

    (DEFI, Université de la Méditerranée, France)

  • Anne Péguin-feissolle

    (GREQAM, CNRS, France)

Abstract

This paper examines the relationships between the CAC40 index, the Dow Jones index and the Euro/USD exchange rate using daily data over the period 1999-2008. We find that these variables are I(1) nonstationary series, but they are fractionally cointegrated: equilibrium errors exhibit slow mean reversion, responding slowly to shocks. Therefore, with regard to the recent empirical cointegration literature, taking into account fractional cointegration techniques appears as a promising way to study the long-run relationships between stock prices and exchange rates.

Suggested Citation

  • Marcel Aloy & Mohamed Boutahar & Karine Gente & Anne Péguin-feissolle, 2010. "Fractional integration and cointegration in stock prices and exchange rates," Economics Bulletin, AccessEcon, vol. 30(1), pages 115-129.
    • Handle: RePEc:ebl:ecbull:eb-09-00644
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    References listed on IDEAS

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    1. Claude Diebolt & Catherine Kyrtsou, 2005. "New Trends in Macroeconomics," Post-Print hal-00279607, HAL.
    2. James Davidson, 2005. "Testing for Fractional Cointegration: The Relationship between Government Popularity and Economic Performance in the UK," Springer Books, in: Claude Diebolt & Catherine Kyrtsou (ed.), New Trends in Macroeconomics, pages 147-171, Springer.
    3. 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.
    4. Ingolf Dittmann, 2001. "Fractional cointegration of voting and non-voting shares," Applied Financial Economics, Taylor & Francis Journals, vol. 11(3), pages 321-332.
    5. 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.
    6. Guglielmo Maria Caporale & Luis A. Gil‐Alana, 2007. "Nonlinearities and Fractional Integration in the US Unemployment Rate," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(4), pages 521-544, August.
    7. 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.
    8. R. Smyth & M. Nandha, 2003. "Bivariate causality between exchange rates and stock prices in South Asia," Applied Economics Letters, Taylor & Francis Journals, vol. 10(11), pages 699-704.
    9. Nieh, Chien-Chung & Lee, Cheng-Few, 2001. "Dynamic relationship between stock prices and exchange rates for G-7 countries," The Quarterly Review of Economics and Finance, Elsevier, vol. 41(4), pages 477-490.
    10. D Marinucci & Peter M Robinson, 2001. "Semiparametric Fractional Cointegration Analysis," STICERD - Econometrics Paper Series 420, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    11. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    12. Angelos Kanas, "undated". "Linkages between the US and European Equity Markets: Further Evidence from cointegration Tests," Working Papers 9804, University of Crete, Department of Economics.
    13. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    14. Bierens, Herman J., 1997. "Nonparametric cointegration analysis," Journal of Econometrics, Elsevier, vol. 77(2), pages 379-404, April.
    15. Christensen, Bent Jesper & Nielsen, Morten Orregaard, 2006. "Asymptotic normality of narrow-band least squares in the stationary fractional cointegration model and volatility forecasting," Journal of Econometrics, Elsevier, vol. 133(1), pages 343-371, July.
    16. Angelos Kanas, 1998. "Linkages between the US and European equity markets: further evidence from cointegration tests," Applied Financial Economics, Taylor & Francis Journals, vol. 8(6), pages 607-614.
    17. Ying Wu, 2000. "Stock prices and exchange rates in VEC model—The case of Singapore in the 1990s," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 24(3), pages 260-274, September.
    18. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    19. Glenn Otto & Graham Voss & Luke Willard, 2001. "Understanding OECD Output Correlations," RBA Research Discussion Papers rdp2001-05, Reserve Bank of Australia.
    20. Huang, Bwo-Nung & Yang, Chin-Wei & Hu, John Wei-Shan, 2000. "Causality and cointegration of stock markets among the United States, Japan and the South China Growth Triangle," International Review of Financial Analysis, Elsevier, vol. 9(3), pages 281-297.
    21. Chamberlain, Sandra & Howe, John S. & Popper, Helen, 1997. "The exchange rate exposure of U.S. and Japanese banking institutions," Journal of Banking & Finance, Elsevier, vol. 21(6), pages 871-892, June.
    22. Luis Gil-Alana & Antonio Moreno, 2012. "Fractional integration and structural breaks in U.S. macro dynamics," Empirical Economics, Springer, vol. 43(1), pages 427-446, August.
    23. Luis A. Gil‐Alana, 2008. "Fractional integration and structural breaks at unknown periods of time," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(1), pages 163-185, January.
    24. Phylaktis, Kate & Ravazzolo, Fabiola, 2005. "Stock prices and exchange rate dynamics," Journal of International Money and Finance, Elsevier, vol. 24(7), pages 1031-1053, November.
    25. Gil-Alana, L.A., 2008. "Testing of seasonal integration and cointegration with fractionally integrated techniques: An application to the Danish labour demand," Economic Modelling, Elsevier, vol. 25(2), pages 326-339, March.
    26. Nielsen, Morten Orregaard, 2007. "Local Whittle Analysis of Stationary Fractional Cointegration and the ImpliedRealized Volatility Relation," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 427-446, October.
    27. Binswanger, Mathias, 2000. "Stock market booms and real economic activity: Is this time different?," International Review of Economics & Finance, Elsevier, vol. 9(4), pages 387-415, October.
    28. Claude Diebolt & Catherine Kyrtsou (ed.), 2005. "New Trends in Macroeconomics," Springer Books, Springer, number 978-3-540-28556-4, October.
    29. Shin, Yongcheol, 1994. "A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration," Econometric Theory, Cambridge University Press, vol. 10(1), pages 91-115, March.
    30. Marinucci, D & Robinson, Peter M., 2001. "Semiparametric fractional cointegration analysis," LSE Research Online Documents on Economics 2269, London School of Economics and Political Science, LSE Library.
    31. Gregory, Allan W & Hansen, Bruce E, 1996. "Tests for Cointegration in Models with Regime and Trend Shifts," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(3), pages 555-560, August.
    32. Richard A. Ajayi & Mbodja Mougouė, 1996. "On The Dynamic Relation Between Stock Prices And Exchange Rates," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 19(2), pages 193-207, June.
    33. Marinucci, D. & Robinson, P. M., 2001. "Semiparametric fractional cointegration analysis," Journal of Econometrics, Elsevier, vol. 105(1), pages 225-247, November.
    34. Pan, Ming-Shiun & Fok, Robert Chi-Wing & Liu, Y. Angela, 2007. "Dynamic linkages between exchange rates and stock prices: Evidence from East Asian markets," International Review of Economics & Finance, Elsevier, vol. 16(4), pages 503-520.
    35. Guglielmo Maria Caporale & Juncal Cunado & Luis A. Gil-Alana, 2007. "Deterministic versus Stochastic Seasonal Fractional Integration and Structural Breaks," CESifo Working Paper Series 1989, CESifo.
    36. L. A. Gil‐Alana & M. Nazarski, 2007. "Strong dependence in the nominal exchange rates of the Polish zloty," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 23(2), pages 97-116, March.
    37. Carlos Velasco, 2003. "Gaussian Semi‐parametric Estimation of Fractional Cointegration," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(3), pages 345-378, May.
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    Cited by:

    1. West, Kenneth D., 2012. "Econometric analysis of present value models when the discount factor is near one," Journal of Econometrics, Elsevier, vol. 171(1), pages 86-97.

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    More about this item

    Keywords

    fractional cointegration; long memory; stock prices; exchange rates;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • F3 - International Economics - - International Finance

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