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Panel unit root testing and the martingale difference hypothesis for German stocks

  • Matei Demetrescu

    ()

    (Goethe University Frankfurt)

Several panel unit root tests based on different ways to account for cross-unit dependence are reviewed. The note then illustrates the tests by checking whether the martingale difference hypothesis is appropriate for stock prices on the German stock market: according to the martingale difference hypothesis, logarithmized stock prices follow an integrated process without short-run dynamics. Compared with usual tests for no autocorrelation, unit root tests do not require strong moment conditions and can cope with stock returns series exhibiting infinite kurtosis. Evidence against the martingale difference hypothesis is found in a panel of 30 DAX stocks observed daily between 2004 and 2007.

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File URL: http://www.accessecon.com/Pubs/EB/2009/Volume29/EB-09-V29-I3-P23.pdf
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Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 29 (2009)
Issue (Month): 3 ()
Pages: 1749-1759

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Handle: RePEc:ebl:ecbull:eb-09-00155
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  1. Chang, Yoosoon, 2002. "Nonlinear IV Unit Root Tests in Panels with Cross-Sectional Dependency," Working Papers 2000-08, Rice University, Department of Economics.
  2. Demetrescu, Matei & Kuzin, Vladimir & Hassler, Uwe, 2008. "Long Memory Testing In The Time Domain," Econometric Theory, Cambridge University Press, vol. 24(01), pages 176-215, February.
  3. Jörg Breitung & Samarjit Das, 2005. "Panel unit root tests under cross-sectional dependence," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 414-433.
  4. Jushan Bai & Serena Ng, 2001. "A PANIC Attack on Unit Roots and Cointegration," Boston College Working Papers in Economics 519, Boston College Department of Economics.
  5. McPherson, Matthew Q. & Palardy, Joseph, 2007. "Are international stock returns predictable?: An examination of linear and non-linear predictability using generalized spectral tests," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 17(5), pages 452-464, December.
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  9. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
  10. Matei Demetrescu & Uwe Hassler & Adina Tarcolea, 2010. "Testing for stationarity in large panels with cross-dependence, and US evidence on unit labor cost," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(8), pages 1381-1397.
  11. James G. MacKinnon, 1995. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Working Papers 918, Queen's University, Department of Economics.
  12. Demetrescu Matei, 2009. "Panel Unit Root Testing with Nonlinear Instruments for Infinite-Order Autoregressive Processes," Journal of Time Series Econometrics, De Gruyter, vol. 1(2), pages 1-30, December.
  13. Krämer, Walter & Sibbertsen, Philipp & Kleiber, Christian, 2001. "Long memory vs. structural change in financial time series," Technical Reports 2001,37, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  14. Hassler, Uwe & Wolters, Jurgen, 1994. "On the power of unit root tests against fractional alternatives," Economics Letters, Elsevier, vol. 45(1), pages 1-5, May.
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  16. Baillie, Richard T & Bollerslev, Tim, 1989. " Common Stochastic Trends in a System of Exchange Rates," Journal of Finance, American Finance Association, vol. 44(1), pages 167-81, March.
  17. Matei Demetrescu & Uwe Hassler & Adina-Ioana Tarcolea, 2006. "Combining Significance of Correlated Statistics with Application to Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(5), pages 647-663, October.
  18. Horowitz, Joel L. & Lobato, I.N. & Nankervis, John C. & Savin, N.E., 2006. "Bootstrapping the Box-Pierce Q test: A robust test of uncorrelatedness," Journal of Econometrics, Elsevier, vol. 133(2), pages 841-862, August.
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