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Long-Horizon Mean-Reverting Stock Prices Revisited

Published online by Cambridge University Press:  06 April 2009

Abstract

This paper reexamines long-horizon stock returns and finds that previous work overstates the evidence of mean reversion. The overstatement is largely due to the implicit weighting of ordinary least-squares tests, which place more weight on the Depression and World War II observations, which have both large error variances and stronger mean-reverting tendencies. Additionally, the reliance on asymptotic statistics and the improper focus on only the most negative estimates of mean reversion contribute to the overstatement. Using generalized least-squares randomization tests on the 1926 to 1987 period, the random walk cannot be rejected for value- or equally-weighted real returns at any of 10 return horizons or by joint tests over all 10 horizons simultaneously. Additionally, the random walk cannot be rejected for the extended 1871 to 1987 period.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1992

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References

Cochrane, j.How Big is the Random Walk in GNP?Journal of Political Economy, 96 (10 1988), 893920.CrossRefGoogle Scholar
Cowles, A. A, HI, and Associates. Common Stock Indexes, 2nd Ed. Bloomington, IN: Principia Press (1939).Google Scholar
Cutler, D. M.; Poterba, J. M.; and Summers, L. H.. “Speculative Dynamics and the Role of Feedback Traders.” The American Economic Review, 80 (06 1990), 6368.Google Scholar
Fama, E. F.Efficient Capital Markets: A Review of Theory and Empirical Work.” The Journal of Finance, 25 (06 1970), 383416.CrossRefGoogle Scholar
Fama, E. F, and French, K. R.. “Permanent and Temporary Components of Stock Prices.” Journal of Political Economy, 96 (04 1988), 246273.CrossRefGoogle Scholar
French, K. R.; Schwert, G. W.; and Stambaugh, R. F.. “Expected Stock Returns and Volatility.” Journal of Financial Economics, 19 (09 1987), 329.CrossRefGoogle Scholar
Granger, C. W. J., and Newbold, P.. “Spurious Regressions in Econometrics.” Journal of Econometrics, 2 (07 1974), 111120.CrossRefGoogle Scholar
Hansen, L. P., and Hodrick, R. J.. “Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis.” Journal of Political Economy, 88 (10 1980), 829853.CrossRefGoogle Scholar
Hansen, L. P.Large Sample Properties of Generalized Method of Moments Estimators.” Econometrica, 50 (07 1982), 10291054.CrossRefGoogle Scholar
Hoeffding, W.The Large-Sample Power of Tests Based on Permutations of Observations.” Annals of Mathematical Statistics, 23 (1952), 169192.CrossRefGoogle Scholar
Huizinga, J. “Small Sample Properties of Market Efficiency Tests in Models with Overlapping Data.” Mimeograph, Univ. of Chicago, Graduate School of Business (05 1983).Google Scholar
Jones, C. P., and Wilson, J. W.Is Stock Price Volatility Increasing?Financial Analysts Journal, 45 (12 1989), 2026.CrossRefGoogle Scholar
Kendall, M.Note on Bias in the Estimation of Autocorrelation.” Biometrika, 41, pts. 3, 4 (1954), 403404.CrossRefGoogle Scholar
Kim, M.; Nelson, C.; and Startz, R.. “Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence”. Review of Economic Studies, 58 (05 1991), 515528.CrossRefGoogle Scholar
Lo, A., and MacKinlay, A.. “Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test.” The Review of Financial Studies, 1 (Spring 1988), 897916.CrossRefGoogle Scholar
Marriot, R, and Pope, J.. “Bias in the Estimation of Autocorrelations,” Biometrika, 41, pts. 3, 4 (1954), 390402.CrossRefGoogle Scholar
McQueen, G. R., and Thorley, S.. “Are Stock Returns Predictable? A Test Using Markov Chains.” The Journal of Finance, 46 (03 1991), 239263.CrossRefGoogle Scholar
Noreen, E. W.Computer-Intensive Methods for Testing Hypotheses: An Introduction. New York: John Wiley & Sons (1989).Google Scholar
Officer, R. R.The Variability of the Market Factor of New York Stock Exchange.” Journal of Business, 46 (07 1973), 434453.CrossRefGoogle Scholar
Poterba, J., and Summers, L.. “Mean Reversion in Stock Prices: Evidence and Implications.” Journal of Financial Economics, 22 (10 1988), 2759.CrossRefGoogle Scholar
Richardson, M. “Temporary Components of Stock Prices: A Skeptic's View.” Working Paper, Wharton School of Business, Univ. of Pennsylvania (05 1989).Google Scholar
Richardson, M., and Stock, J. H.. “Drawing Inferences from Statistics Based on Multiyear Asset Returns.” Journal of Financial Economics, 25 (12 1989), 323348.CrossRefGoogle Scholar
Schwert, G. W. “Why Does Stock Market Volatility Change over Time?” Working Paper, William E. Simon Graduate School of Business Administration, Univ. of Rochester (05 1988).Google Scholar
Schwer, G. W.Why Does Stock Market Volatility Change over Time?The Journal of Finance, 44 (12 1989), 11151153.CrossRefGoogle Scholar
Summers, L. “Does the Stock Market Rationally Reflect Fundamental Values?The Journal of Finance, 41 (07 1986), 591601.CrossRefGoogle Scholar
Turner, C. M.; Startz, R.; and Nelson, C. R.. “A Markov Model of Heteroskedasticity, Risk, and Learning in the Stock Market.” Journal of Financial Economics, 25 (11 1989), 322.CrossRefGoogle Scholar
Warren, G., and Pearson, F.. “Wholesale Prices, 1720 to 1889, Inclusive.” Bureau of Labor Statistics, Bulletin, No. 572 (1933), 111114.Google Scholar
Wilson, J., and Jones, C. P.. “A Comparison of Annual Common Stock Returns: 1871–1925 with 1926–85.” Journal of Business, 60 (04 1987), 239258.CrossRefGoogle Scholar
Wilson, J.. Returns on Stocks, Bonds, and Commercial Paper: Long-term Construction, Analysis, and Comparison.” Faculty Working Paper No. 117, North Carolina State Univ. (04 1988).Google Scholar
White, H. “A Heteroskedasticity-consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity.” Econometrica, 48 (05 1980), 817838.CrossRefGoogle Scholar