IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://cla.auburn.edu/econwp/Archives/2013/2013-06.pdf
Download Restriction: no

Paper provided by Department of Economics, Auburn University in its series Auburn Economics Working Paper Series with number auwp2013-06.

as
in new window

Length:
Date of creation: Mar 2013
Date of revision:
Handle: RePEc:abn:wpaper:auwp2013-06
Contact details of provider: Postal:
0326 Haley Center, Auburn University, AL 36849-5049

Phone: (334) 844-4910
Fax: (334) 844-4615
Web page: http://cla.auburn.edu/economics/

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. 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.
  2. Peter Boswijk & Cars H. Hommes & Sebastiano Manzan, 2005. "Behavioral Heterogeneity in Stock Prices," Tinbergen Institute Discussion Papers 05-052/1, Tinbergen Institute.
  3. 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.
  4. 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.
  5. 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.
  6. Myung Jig Kim & Charles R. Nelson & Richard Startz, 1988. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," NBER Working Papers 2795, National Bureau of Economic Research, Inc.
  7. 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.
  8. Paresh Kumar Narayan & Stephan Popp, 2010. "A new unit root test with two structural breaks in level and slope at unknown time," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1425-1438.
  9. Jón Steinsson, 2008. "The Dynamic Behavior of the Real Exchange Rate in Sticky Price Models," NBER Working Papers 13910, National Bureau of Economic Research, Inc.
  10. 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.
  11. 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.
  12. 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.
  13. Kim, Hyeongwoo & Moh, Young-Kyu, 2009. "A Century of Purchasing Power Parity Confirmed: The Role of Nonlinearity," MPRA Paper 17488, University Library of Munich, Germany.
  14. 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.
  15. 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.
  16. 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.
  17. Deb, Partha & Sefton, Martin, 1996. "The distribution of a Lagrange multiplier test of normality," Economics Letters, Elsevier, vol. 51(2), pages 123-130, May.
  18. 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.
  19. Bruce E. Hansen, 1999. "The Grid Bootstrap And The Autoregressive Model," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 594-607, November.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. Fredj Jawadi & Georges Prat, 2012. "Arbitrage costs and nonlinear adjustment in the G7 stock markets," Applied Economics, Taylor & Francis Journals, vol. 44(12), pages 1561-1582, April.
  25. James M. Poterba & Lawrence H. Summers, 1987. "Mean Reversion in Stock Prices: Evidence and Implications," NBER Working Papers 2343, National Bureau of Economic Research, Inc.
  26. 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.
  27. 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.
  28. 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.
  29. Kasa, Kenneth, 1992. "Common stochastic trends in international stock markets," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 95-124, February.
  30. 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.
  31. Granger, Clive W J, 1995. "Modelling Nonlinear Relationships between Extended-Memory Variables," Econometrica, Econometric Society, vol. 63(2), pages 265-79, March.
  32. 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.
  33. 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.
  34. Anthony J. Richards, 1996. "Comovements in National Stock Market Returns; Evidence of Predictability But Not Cointegration," IMF Working Papers 96/28, International Monetary Fund.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. repec:taf:jnlbes:v:30:y:2012:i:3:p:351-357 is not listed on IDEAS
  40. 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.
  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. 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.
  43. 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.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:abn:wpaper:auwp2013-06. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Hyeongwoo Kim)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.