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Measuring the Speed of Convergence of Stock Prices: A Nonparametric and Nonlinear Approach

  • Hyeongwoo Kim
  • Deockhyun Ryu

This paper evaluates the speed of convergence across national stock markets employing a nonlinear, nonparametric stochastic model of relative stock prices. We use operational algorithms for estimating general measures of persistence of the relative stock price that are based on two statistical notions: the short memory in mean (SMM) and the short memory in distribution (SMD). Using G7 countries¡¯ stock indices, we obtain strong empirical evidence in favor of the contrarian strategy for France, Germany, Italy, and the UK relative to the US market, while our results imply quite limited usefulness of the strategy for Canada and Japan. Further, we obtain fairly fast convergence rates toward the equilibrium for the former group.

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File URL: http://cla.auburn.edu/econwp/Archives/2013/2013-06.pdf
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Paper provided by Department of Economics, Auburn University in its series Auburn Economics Working Paper Series with number auwp2013-06.

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Date of creation: Mar 2013
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Handle: RePEc:abn:wpaper:auwp2013-06
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Web page: http://cla.auburn.edu/economics/

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  1. Gallagher, Liam A & Taylor, Mark P, 2001. "Risky Arbitrage, Limits of Arbitrage, and Nonlinear Adjustment in the Dividend-Price Ratio," Economic Inquiry, Western Economic Association International, vol. 39(4), pages 524-36, October.
  2. Ronald Balvers & Yangru Wu & Erik Gilliland, 2000. "Mean Reversion across National Stock Markets and Parametric Contrarian Investment Strategies," Journal of Finance, American Finance Association, vol. 55(2), pages 745-772, 04.
  3. Kim, Hyeongwoo, 2009. "On the usefulness of the contrarian strategy across national stock markets: A grid bootstrap analysis," Journal of Empirical Finance, Elsevier, vol. 16(5), pages 734-744, December.
  4. Deb, Partha & Sefton, Martin, 1996. "The distribution of a Lagrange multiplier test of normality," Economics Letters, Elsevier, vol. 51(2), pages 123-130, May.
  5. Mototsugu Shintani, 2002. "A Nonparametric Measure of Convergence Toward Purchasing Power Parity," Vanderbilt University Department of Economics Working Papers 0219, Vanderbilt University Department of Economics, revised Jul 2004.
  6. Sarno, Lucio & Taylor, Mark P. & Chowdhury, Ibrahim, 2004. "Nonlinear dynamics in deviations from the law of one price: a broad-based empirical study," Journal of International Money and Finance, Elsevier, vol. 23(1), pages 1-25, February.
  7. Shu-Ling Chen & Hyeongwoo Kim, 2011. "Nonlinear Mean Reversion across National Stock Markets: Evidence from Emerging Asian Markets," International Economic Journal, Taylor & Francis Journals, vol. 25(2), pages 239-250.
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