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Testing for Stochastic Cointegration and Evidence for Present Value Models

Author

Listed:
  • Brendan McCabe

    (Liverpool)

  • Stephen Leybourne

    (Nottingham)

  • David Harris

    (Melbourne)

Abstract

Using the stochastic integration/cointegration framework of Harris, McCabe and Leybourne (2002) we revisit the problem of assessing the empirical evidence for or against the present value class of models in the bond and stock markets. This framework allows for volatility in excess of that catered for by the conventional integration/cointegration paradigm by introducing nonlinear heteroscedasticity. We propose a test for stochastic cointegration against the alternative of no cointegration and a secondary test for stationary cointegration against the heteroscedastic alternative. Asymptotic distributions of these tests under their respective null hypotheses are derived and consistency under their respective alternatives is established. In contrast to conventional cointegration tests, which we show via simulation are unreliable in the presence of the kind of volatility typical of financial data, our tests are able to uncover new cointegration evidence in favour of the present value model, particularly in the bond market.

Suggested Citation

  • Brendan McCabe & Stephen Leybourne & David Harris, 2003. "Testing for Stochastic Cointegration and Evidence for Present Value Models," Econometrics 0311009, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpem:0311009
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    References listed on IDEAS

    as
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    Cited by:

    1. Lucey, Brian M. & Voronkova, Svitlana, 2008. "Russian equity market linkages before and after the 1998 crisis: Evidence from stochastic and regime-switching cointegration tests," Journal of International Money and Finance, Elsevier, vol. 27(8), pages 1303-1324, December.
    2. Raj Aggarwal & Brian M. Lucey & Sunil K. Mohanty, 2006. "The Forward Exchange Rate Bias Puzzle: Evidence from New Cointegration Tests," The Institute for International Integration Studies Discussion Paper Series iiisdp123, IIIS.
    3. Schindler, Felix & Voronkova, Svitlana, 2010. "Linkages between international securitized real estate markets: Further evidence from time-varying and stochastic cointegration," ZEW Discussion Papers 10-051, ZEW - Leibniz Centre for European Economic Research.
    4. Lucey, Brian M. & Voronkova, Svitlana, 2005. "Russian equity market linkages before and after the 1998 crisis : evidence from time-varying and stochastic cointegration tests," BOFIT Discussion Papers 12/2005, Bank of Finland, Institute for Economies in Transition.
    5. Gawon Yoon, 2006. "A Note on Some Properties of STUR Processes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(2), pages 253-260, April.
    6. Gawon Yoon, 2005. "Stochastic Unit Roots in the Capital Asset Pricing Model?," Bulletin of Economic Research, Wiley Blackwell, vol. 57(4), pages 369-389, October.

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    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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