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Fractional cointegration of voting and non-voting shares

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  • Dittmann, Ingolf

Abstract

Voting and non-voting shares of ten German companies are analyzed for fractional cointegration. It turns out that seven pairs of price series are fractionally cointegrated, which means that for each pair there is a linear combination of the two series that is a long-memory process. 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 analyzed; it leads to considerable excess returns in two out-of-sample evaluations.

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  • Dittmann, Ingolf, 1998. "Fractional cointegration of voting and non-voting shares," Technical Reports 1998,40, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:199840
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    1. John Geweke & Susan Porter‐Hudak, 1983. "The Estimation And Application Of Long Memory Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 4(4), pages 221-238, July.
    2. Ingolf Dittmann, 2000. "Residual‐Based Tests For Fractional Cointegration: A Monte Carlo Study," Journal of Time Series Analysis, Wiley Blackwell, vol. 21(6), pages 615-647, November.
    3. 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.
    4. Jeffrey Zwiebel, 1995. "Block Investment and Partial Benefits of Corporate Control," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(2), pages 161-185.
    5. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    6. 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.
    7. Zingales, Luigi, 1994. "The Value of the Voting Right: A Study of the Milan Stock Exchange Experience," The Review of Financial Studies, Society for Financial Studies, vol. 7(1), pages 125-148.
    8. Taylor, Mark P & Tonks, Ian, 1989. "The Internationalisation of Stock Markets and the Abolition of U.K. Exchange Control," The Review of Economics and Statistics, MIT Press, vol. 71(2), pages 332-336, May.
    9. Rydqvist, Kristian, 1996. "Takeover bids and the relative prices of shares that differ in their voting rights," Journal of Banking & Finance, Elsevier, vol. 20(8), pages 1407-1425, September.
    10. Fama, Eugene F, 1991. "Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-1617, December.
    11. Kasa, Kenneth, 1992. "Common stochastic trends in international stock markets," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 95-124, February.
    12. 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.
    13. Lease, Ronald C. & McConnell, John J. & Mikkelson, Wayne H., 1983. "The market value of control in publicly-traded corporations," Journal of Financial Economics, Elsevier, vol. 11(1-4), pages 439-471, April.
    14. 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(5), pages 679-691, October.
    15. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    16. G. Geoffrey Booth & Yiuman Tse, 1995. "Long memory in interest rate futures markets: A fractional cointegration analysis," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 15(5), pages 573-584, August.
    17. 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.
    18. 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 213-228, August.
    19. 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 103-112, January.
    20. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
    21. Roger M. Kunz & James J. Angel, 1996. "Factors Affecting the Value of Stock Voting Rights: Evidence from the Swiss Equity Market," Financial Management, Financial Management Association, vol. 25(3), Fall.
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    Cited by:

    1. 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.
    2. 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.
    3. Jörg Breitung & Christian Wulff, 2001. "Non‐linear Error Correction and the Efficient Market Hypothesis: The Case of German Dual‐Class Shares," German Economic Review, Verein für Socialpolitik, vol. 2(4), pages 419-434, November.
    4. 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.
    5. Kramer, Walter & Marmol, Francesc, 2004. "The power of residual-based tests for cointegration when residuals are fractionally integrated," Economics Letters, Elsevier, vol. 82(1), pages 63-69, January.
    6. Karin Niehoff, 2016. "Price Discovery in Voting and Non-Voting Stocks," Schmalenbach Business Review, Springer;Schmalenbach-Gesellschaft, vol. 17(3), pages 285-307, December.
    7. Krämer Walter, 2002. "Statistische Besonderheiten von Finanzzeitreihen / Statistical Properties of Financial Time Series," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 222(2), pages 210-229, April.
    8. 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.
    9. repec:ebl:ecbull:v:30:y:2010:i:1:p:115-129 is not listed on IDEAS

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