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Fractional cointegration of voting and non-voting shares

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  • Ingolf Dittmann

Abstract

Voting and non-voting shares of ten German companies are analysed for fractional cointegration. It turns out that seven pairs of price series are fractionally cointegrated. The estimated long-memory parameter of the equilibrium errors lies between 0.5 and 0.8. If two stocks are fractionally cointegrated, future returns of at least one of the stocks can be predicted by past prices. This contradicts the weak form of the efficient market hypothesis. A simple trading strategy is proposed and analysed; it leads to considerable excess returns in two out-of-sample evaluations.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Applied Financial Economics.

Volume (Year): 11 (2001)
Issue (Month): 3 ()
Pages: 321-332

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Handle: RePEc:taf:apfiec:v:11:y:2001:i:3:p:321-332

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  1. Baillie, R.T. & Bollerslev, T., 1993. "Cointegration, Fractional Cointegration, and Exchange RAte Dynamics," Papers 9103, Michigan State - Econometrics and Economic Theory.
  2. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
  3. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  4. Cerchi, Marlene & Havenner, Arthur, 1988. "Cointegration and stock prices : The random walk on wall street revisited," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 333-346.
  5. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-12, January.
  6. Cheung, Yin-Wong & Lai, Kon S., 1997. "Bandwidth Selection, Prewhitening, and the Power of the Phillips-Perron Test," Econometric Theory, Cambridge University Press, vol. 13(05), pages 679-691, October.
  7. Fama, Eugene F, 1991. " Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-617, December.
  8. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-28, August.
  9. Michael Dueker & Richard Startz, 1998. "Maximum-Likelihood Estimation Of Fractional Cointegration With An Application To U.S. And Canadian Bond Rates," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 420-426, August.
  10. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
  11. Dittmann, Ingolf, 1998. "Residual-based tests for fractional cointegration: A Monte Carlo study," Technical Reports 1998,09, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
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Cited by:
  1. Krämer, Walter & Marmol, Francesc, 1998. "The power of residual-based tests for cointegration when residuals are fractionally integrated," Technical Reports 1998,42, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  2. 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.
  3. Kellard, Neil & Dunis, Christian & Sarantis, Nicholas, 2010. "Foreign exchange, fractional cointegration and the implied-realized volatility relation," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 882-891, April.
  4. Breitung, Jörg & Wulff, Christian, 1999. "Nonlinear error correction and the efficient market hypothesis: The case of German dual-class shares," SFB 373 Discussion Papers 1999,67, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  5. repec:ebl:ecbull:v:30:y:2010:i:1:p:115-129 is not listed on IDEAS
  6. Kellard, Neil & Sarantis, Nicholas, 2008. "Can exchange rate volatility explain persistence in the forward premium?," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 714-728, September.

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