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New Variance Ratio Tests to Identify Random Walk from the General Mean Reversion Model

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Author Info
Kin Lam (Department of Finance & Decision Sciences, Hong Kong Baptist University)
May Chun Mei Wong (Dental Public Health, The University of Hong Kong)
Wing-Keung Wong () (Department of Economics, The National University of Singapore)

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Abstract

We develop some properties on the autocorrelation of the k-period returns for the general mean reversion (GMR) process in which the stationary component is not restricted to the AR(l) process but take the form of a general ARMA process. We then derive some properties of the GMR process and three new non-parametric tests comparing the relative variability of returns over different horizons to validate the GMR process as an alternative to random walk. We further examine the asymptotic properties of these tests which can then be applied to identify random walk models from the GMR processes.

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Paper provided by National University of Singapore, Department of Economics in its series Departmental Working Papers with number wp0514.

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Length: 38 pages
Date of creation: 2005
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Handle: RePEc:nus:nusewp:wp0514

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Related research
Keywords: mean reversion variance ratio test random walk stock price stock return

Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies

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  1. Jegadeesh, Narasimhan, 1991. " Seasonality in Stock Price Mean Reversion: Evidence from the U.S. and the U.K," Journal of Finance, American Finance Association, vol. 46(4), pages 1427-44, September. [Downloadable!] (restricted)
  2. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June. [Downloadable!] (restricted)
  3. A. Craig MacKinlay, Krishna Ramaswamy, 1988. "Index-Futures Arbitrage and the Behavior of Stock Index Futures Prices," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 1(2), pages 137-158. [Downloadable!] (restricted)
  4. Kim, Myung Jig & Nelson, Charles R & Startz, Richard, 1991. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," Review of Economic Studies, Blackwell Publishing, vol. 58(3), pages 515-28, May. [Downloadable!] (restricted)
    Other versions:
  5. Summers, Lawrence H, 1986. " Does the Stock Market Rationally Reflect Fundamental Values?," Journal of Finance, American Finance Association, vol. 41(3), pages 591-601, July. [Downloadable!] (restricted)
  6. Bekaert, Geert & Hodrick, Robert J, 1992. " Characterizing Predictable Components in Excess Returns on Equity and Foreign Exchange Markets," Journal of Finance, American Finance Association, vol. 47(2), pages 467-509, June. [Downloadable!] (restricted)
    Other versions:
  7. Merton, Robert C., 1980. "On estimating the expected return on the market : An exploratory investigation," Journal of Financial Economics, Elsevier, vol. 8(4), pages 323-361, December. [Downloadable!] (restricted)
    Other versions:
  8. Cecchetti, Stephen G & Lam, Pok-sang & Mark, Nelson C, 1990. "Mean Reversion in Equilibrium Asset Prices," American Economic Review, American Economic Association, vol. 80(3), pages 398-418, June. [Downloadable!] (restricted)
    Other versions:
  9. Oldfield, George S, Jr & Rogalski, Richard J, 1980. " A Theory of Common Stock Returns over Trading and Non-Trading Periods," Journal of Finance, American Finance Association, vol. 35(3), pages 729-51, June. [Downloadable!] (restricted)
  10. Ayadi, O. Felix & Pyun, C. S., 1994. "An application of variance ratio test to the Korean securities market," Journal of Banking & Finance, Elsevier, vol. 18(4), pages 643-658, September. [Downloadable!] (restricted)
  11. De Bondt, Werner F M & Thaler, Richard H, 1989. "A Mean-Reverting Walk Down Wall Street," Journal of Economic Perspectives, American Economic Association, vol. 3(1), pages 189-202, Winter. [Downloadable!] (restricted)
  12. Daniel, Kent, 2001. "The power and size of mean reversion tests," Journal of Empirical Finance, Elsevier, vol. 8(5), pages 493-535, December. [Downloadable!] (restricted)
  13. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May. [Downloadable!] (restricted)
  14. Barone, E., 1990. "The italian stock market : Efficiency and calendar anomalies," Journal of Banking & Finance, Elsevier, vol. 14(2-3), pages 483-510, August. [Downloadable!] (restricted)
  15. Bessembinder, Hendrik, et al, 1995. " Mean Reversion in Equilibrium Asset Prices: Evidence from the Futures Term Structure," Journal of Finance, American Finance Association, vol. 50(1), pages 361-75, March. [Downloadable!] (restricted)
  16. Jensen, Michael C., 1978. "Some anomalous evidence regarding market efficiency," Journal of Financial Economics, Elsevier, vol. 6(2-3), pages 95-101. [Downloadable!] (restricted)
  17. Conrad, Jennifer & Kaul, Gautam, 1989. "Mean Reversion in Short-Horizon Expected Returns," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 2(2), pages 225-40. [Downloadable!] (restricted)
  18. Fong, Wai Mun & Koh, Seng Kee & Ouliaris, Sam, 1997. "Joint Variance-Ratio Tests of the Martingale Hypothesis for Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 51-59, January.
  19. Wright, Jonathan H, 2000. "Alternative Variance-Ratio Tests Using Ranks and Signs," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 1-9, January.
  20. 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. [Downloadable!] (restricted)
  21. Jones, Charles M. & Kaul, Gautam & Lipson, Marc L., 1994. "Information, trading, and volatility," Journal of Financial Economics, Elsevier, vol. 36(1), pages 127-154, August. [Downloadable!] (restricted)
  22. 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. [Downloadable!] (restricted)
    Other versions:
  23. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 1(1), pages 41-66. [Downloadable!] (restricted)
    Other versions:
  24. Liu, Christina Y & He, Jia, 1991. " A Variance-Ratio Test of Random Walks in Foreign Exchange Rates," Journal of Finance, American Finance Association, vol. 46(2), pages 773-85, June. [Downloadable!] (restricted)
  25. Durlauf, Steven N., 1993. "Time series properties of aggregate output fluctuations," Journal of Econometrics, Elsevier, vol. 56(1-2), pages 39-56, March. [Downloadable!] (restricted)
  26. Busetti, Fabio & Taylor, A M Robert, 2003. "Variance Shifts, Structural Breaks, and Stationarity Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(4), pages 510-31, October.
  27. Ojah, Kalu & Karemera, David, 1999. "Random Walks and Market Efficiency Tests of Latin American Emerging Equity Markets: A Revisit," The Financial Review, Eastern Finance Association, vol. 34(2), pages 57-72, May.
  28. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October. [Downloadable!] (restricted)
  29. 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. [Downloadable!] (restricted)
  30. French, Kenneth R. & Roll, Richard, 1986. "Stock return variances : The arrival of information and the reaction of traders," Journal of Financial Economics, Elsevier, vol. 17(1), pages 5-26, September. [Downloadable!] (restricted)
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