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Testing for strict stationarity in financial variables

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  • Kapetanios, George
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    Abstract

    This paper considers the stationarity properties of a variety of financial variables using statistical tests for strict stationarity. We find that there has been a gradual shift in unconditional variances for the variables examined during the 90's and 2000's and that this is the main cause of the widespread rejection of the strict stationarity null hypothesis. This is a powerful result which suggests that the consideration of conditional mean and, especially, conditional variance models which assume stationarity is problematic for the period under examination. This casts serious doubts on the usefulness of models that assume strict stationarity and model conditional second moments, such as GARCH and stochastic volatility models.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Banking & Finance.

    Volume (Year): 33 (2009)
    Issue (Month): 12 (December)
    Pages: 2346-2362

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    Handle: RePEc:eee:jbfina:v:33:y:2009:i:12:p:2346-2362

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    Web page: http://www.elsevier.com/locate/jbf

    Related research

    Keywords: S&P500 Covariance stationarity Strict stationarity;

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    References

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    1. Giraitis, Liudas & Kokoszka, Piotr & Leipus, Remigijus & Teyssiere, Gilles, 2003. "Rescaled variance and related tests for long memory in volatility and levels," Journal of Econometrics, Elsevier, vol. 112(2), pages 265-294, February.
    2. Xiao, Zhijie & Lima, Luiz Renato Regis de Oliveira, 2006. "Testing Covariance Stationarity," Economics Working Papers (Ensaios Economicos da EPGE) 632, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    3. Tsiakas, Ilias, 2008. "Overnight information and stochastic volatility: A study of European and US stock exchanges," Journal of Banking & Finance, Elsevier, vol. 32(2), pages 251-268, February.
    4. Mazouz, Khelifa & Joseph, Nathan L. & Joulmer, Joulmer, 2009. "Stock price reaction following large one-day price changes: UK evidence," Journal of Banking & Finance, Elsevier, vol. 33(8), pages 1481-1493, August.
    5. Bart Hobijn & Philip Hans Franses & Marius Ooms, 2004. "Generalizations of the KPSS-test for stationarity," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(4), pages 483-502.
    6. 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.
    7. Li, Xiafei & Miffre, Joëlle & Brooks, Chris & O'Sullivan, Niall, 2008. "Momentum profits and time-varying unsystematic risk," Journal of Banking & Finance, Elsevier, vol. 32(4), pages 541-558, April.
    8. Perignon, Christophe & Smith, Daniel R., 2007. "Yield-factor volatility models," Journal of Banking & Finance, Elsevier, vol. 31(10), pages 3125-3144, October.
    9. Leybourne, S J & McCabe, B P M, 1994. "A Consistent Test for a Unit Root," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 157-66, April.
    10. Ploberger, Werner & Kramer, Walter, 1992. "The CUSUM Test with OLS Residuals," Econometrica, Econometric Society, vol. 60(2), pages 271-85, March.
    11. Lee, Sangyeol & Na, Seongryong, 2004. "A nonparametric test for the change of the density function in strong mixing processes," Statistics & Probability Letters, Elsevier, vol. 66(1), pages 25-34, January.
    12. George Kapetanios & Elias Tzavalis, 2006. "Stochastic Volatility Driven by Large Shocks," Working Papers 568, Queen Mary, University of London, School of Economics and Finance.
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    Cited by:
    1. George Kapetanios & Fotis Papailias, 2011. "Block Bootstrap and Long Memory," Working Papers 679, Queen Mary, University of London, School of Economics and Finance.
    2. Wang, Zijun, 2010. "Dynamics and causality in industry-specific volatility," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1688-1699, July.
    3. Dichtl, Hubert & Drobetz, Wolfgang, 2011. "Portfolio insurance and prospect theory investors: Popularity and optimal design of capital protected financial products," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1683-1697, July.
    4. Schäfer, Rudi & Guhr, Thomas, 2010. "Local normalization: Uncovering correlations in non-stationary financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3856-3865.

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