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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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  1. Chortareas, Georgios E. & Kapetanios, George & Shin, Yongcheol, 2002. "Nonlinear mean reversion in real exchange rates," Economics Letters, Elsevier, vol. 77(3), pages 411-417, November.
  2. Domowitz, Ian & El-Gamal, Mahmoud A., 2001. "A consistent nonparametric test of ergodicity for time series with applications," Journal of Econometrics, Elsevier, vol. 102(2), pages 365-398, June.
  3. Kim, Hyeongwoo & Moh, Young-Kyu, 2010. "A century of purchasing power parity confirmed: The role of nonlinearity," Journal of International Money and Finance, Elsevier, vol. 29(7), pages 1398-1405, November.
  4. Fung, Michael K., 2009. "Financial development and economic growth: Convergence or divergence?," Journal of International Money and Finance, Elsevier, vol. 28(1), pages 56-67, February.
  5. L. Spierdijk & J.A. Bikker & P. van den Hoek, 2010. "Mean Reversion in International Stock Markets: An Empirical Analysis of the 20th Century," Working Papers 10-07, Utrecht School of Economics.
  6. Hyeongwoo Kim & Liliana Stern & Michael Stern, 2009. "Nonlinear mean reversion in the G7 stock markets," Applied Financial Economics, Taylor & Francis Journals, vol. 19(5), pages 347-355.
  7. Chowdhury, Ibrahim & Sarno, Lucio & Taylor, Mark P, 2002. "Non-Linear Dynamics in Deviations from the Law of One Price: A Broad-Based Empirical Study," CEPR Discussion Papers 3377, C.E.P.R. Discussion Papers.
  8. Narayan, Paresh Kumar & Sharma, Susan Sunila, 2015. "Does data frequency matter for the impact of forward premium on spot exchange rate?," International Review of Financial Analysis, Elsevier, vol. 39(C), pages 45-53.
  9. El-Gamal, Mahmoud A. & Ryu, Deockhyun, 2006. "Short-memory and the PPP hypothesis," Journal of Economic Dynamics and Control, Elsevier, vol. 30(3), pages 361-391, March.
  10. Sanjeev Bhojraj, 2006. "Macromomentum: Returns Predictability in International Equity Indices," The Journal of Business, University of Chicago Press, vol. 79(1), pages 429-451, January.
  11. Fama, Eugene F & French, Kenneth R, 1988. "Permanent and Temporary Components of Stock Prices," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 246-73, April.
  12. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
  13. McQueen, Grant, 1992. "Long-Horizon Mean-Reverting Stock Prices Revisited," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(01), pages 1-18, March.
  14. Peel, David & Sarno, Lucio & Taylor, Mark P, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Towards a Solution to the Purchasing Power Parity Puzzles," CEPR Discussion Papers 2658, C.E.P.R. Discussion Papers.
  15. Boswijk, H. Peter & Hommes, Cars H. & Manzan, Sebastiano, 2007. "Behavioral heterogeneity in stock prices," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 1938-1970, June.
  16. Peter C. B. Phillips & Donggyu Sul, 2003. "Dynamic panel estimation and homogeneity testing under cross section dependence *," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 217-259, 06.
  17. Jón Steinsson, 2008. "The Dynamic Behavior of the Real Exchange Rate in Sticky Price Models," American Economic Review, American Economic Association, vol. 98(1), pages 519-33, March.
  18. David McMillan, 2008. "Non-linear cointegration and adjustment: an asymmetric exponential smooth-transition model for US interest rates," Empirical Economics, Springer, vol. 35(3), pages 591-606, November.
  19. Hansen,B.E., 1998. "The grid bootstrap and the autoregressive model," Working papers 26, Wisconsin Madison - Social Systems.
  20. 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.
  21. Domowitz, Ian & El-Gamal, Mahmoud A., 1993. "A Consistent Test of Stationary Ergodicity," Working Papers 794, California Institute of Technology, Division of the Humanities and Social Sciences.
  22. Kasa, Kenneth, 1992. "Common stochastic trends in international stock markets," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 95-124, February.
  23. Richards, Anthony J., 1995. "Comovements in national stock market returns: Evidence of predictability, but not cointegration," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 631-654, December.
  24. Richardson, Matthew, 1993. "Temporary Components of Stock Prices: A Skeptic's View," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(2), pages 199-207, April.
  25. Poterba, James M. & Summers, Lawrence H., 1988. "Mean reversion in stock prices : Evidence and Implications," Journal of Financial Economics, Elsevier, vol. 22(1), pages 27-59, October.
  26. Myung Jig Kim & Charles R. Nelson & Richard Startz, 1991. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," Review of Economic Studies, Oxford University Press, vol. 58(3), pages 515-528.
  27. Paresh Kumar Narayan & Stephan Popp, 2009. "A New Unit Root Test with Two Structural Breaks in Level and Slope at Unknown Time," Economics Series 2009_11, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
  28. Deb, Partha & Sefton, Martin, 1996. "The distribution of a Lagrange multiplier test of normality," Economics Letters, Elsevier, vol. 51(2), pages 123-130, May.
  29. Granger, Clive W J, 1995. "Modelling Nonlinear Relationships between Extended-Memory Variables," Econometrica, Econometric Society, vol. 63(2), pages 265-79, March.
  30. Sagarika Mishra & Paresh Kumar Narayan, 2010. "Do Market Capitalisation and Stocks Traded Converge? New Global Evidence," Economics Series 2010_11, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
  31. 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.
  32. Paresh Kumar Narayan & Seema Narayan & Stephan Popp & Huson Ali Ahmed, 2015. "Is the efficient market hypothesis day-of-the-week dependent? Evidence from the banking sector," Applied Economics, Taylor & Francis Journals, vol. 47(23), pages 2359-2378, May.
  33. Andrews, Donald W K, 1993. "Exactly Median-Unbiased Estimation of First Order Autoregressive/Unit Root Models," Econometrica, Econometric Society, vol. 61(1), pages 139-65, January.
  34. De Bondt, Werner F M & Thaler, Richard, 1985. " Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
  35. Chen, Shu-Ling & Kim, Hyeongwoo, 2008. "Nonlinear Mean Reversion across National Stock Markets: Evidence from Emerging Asian Markets," MPRA Paper 18680, University Library of Munich, Germany, revised Nov 2009.
  36. Peel, David A & Taylor, Mark P, 2002. "Covered Interest Rate Arbitrage in the Interwar Period and the Keynes-Einzig Conjecture," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(1), pages 51-75, February.
  37. Fredj Jawadi & Georges Prat, 2011. "Arbitrage Costs and Nonlinear Adjustment in the G7 Stock Markets," Post-Print hal-00677631, HAL.
  38. Mylonidis, Nikolaos & Kollias, Christos, 2010. "Dynamic European stock market convergence: Evidence from rolling cointegration analysis in the first euro-decade," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2056-2064, September.
  39. Alan M. Taylor, 2000. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," NBER Working Papers 7577, National Bureau of Economic Research, Inc.
  40. 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.
  41. Junsoo Lee & Mark C. Strazicich, 2003. "Minimum Lagrange Multiplier Unit Root Test with Two Structural Breaks," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1082-1089, November.
  42. repec:taf:jnlbes:v:30:y:2012:i:3:p:351-357 is not listed on IDEAS
  43. Richardson, Matthew & Stock, James H., 1989. "Drawing inferences from statistics based on multiyear asset returns," Journal of Financial Economics, Elsevier, vol. 25(2), pages 323-348, December.
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