A Bayes Inference Approach to Testing Mean Reversion in the Swedish Stock Market
This paper makes use of the Bayesian approach to test for mean reversion in the Swedish stock market via Gibbs sampling. We use a sample of eighty years of monthly Swedish stock market returns including dividends from December 1918 to December 1998. We test for mean reversion in the short-run using two up to twelve months' horizons and in the long-run using yearly horizons up to ten years. Previous evidence of mean reversion via variance ratio is controversial because the test is only valid under the assumption of constant expected return. The return series from financial markets are well known to exhibit time varying volatility. Thus, the findings of mean reversion in the Swedish stock market might be explained by time-variation, or regime switches, in volatility. Hence we assume two regimes: low and high volatility and we let the volatility regimes be described by a two-state Hidden Markov Model, were the states are unobservable parameters. The Bayesian Gibbs sampling framework is advantageous as is allows us to make statistical inference of the parameters of interest without direct estimation of the likelihood function. This is pleasant property as we avoid the problem of estimating sometimes difficult likelihood functions. The result of our analysis offsets previous findings of mean reversion in the Swedish stock market. By simply account for the heteroscedasticty of the data and taking estimation bias into account we can not find any support of mean reversion. On the contrary the Swedish stock market can be characterized by two regimes, a tranquil and a volatile, and within the regimes the stock market is random. This finding is in line with what have been found on the U.S. stock market 1926-1986. Thus, accounting for time-variation in volatility and estimation bias improves the variance ratio test.
|Date of creation:||01 Aug 2000|
|Date of revision:|
|Contact details of provider:|| Phone: 1 212 998 3820|
Fax: 1 212 995 4487
Web page: http://www.econometricsociety.org/pastmeetings.asp
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.:
- Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
- 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.
- Kim, Myung Jig & Nelson, Charles R & Startz, Richard, 1991. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," Review of Economic Studies, Wiley Blackwell, vol. 58(3), pages 515-28, May.
- Malliaropulos, Dimitrios & Priestley, Richard, 1999. "Mean reversion in Southeast Asian stock markets," Journal of Empirical Finance, Elsevier, vol. 6(4), pages 355-384, October.
- Kim, Chang-Jin & Nelson, Charles R. & Startz, Richard, 1998. "Testing for mean reversion in heteroskedastic data based on Gibbs-sampling-augmented randomization1," Journal of Empirical Finance, Elsevier, vol. 5(2), pages 131-154, June.
- Kim, Chang-Jin & Nelson, Charles R., 1998. "Testing for mean reversion in heteroskedastic data II: Autoregression tests based on Gibbs-sampling-augmented randomization1," Journal of Empirical Finance, Elsevier, vol. 5(4), pages 385-396, October.
- Berg, Lennart & Lyhagen, Johan, 1996. "Short and Long Run Dependence in Swedish Stock Returns," Working Paper Series 1996:19, Uppsala University, Department of Economics.
- 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,
Society for Financial Studies, vol. 1(1), pages 41-66.
- Tom Doan, . "VRATIO: RATS procedure to implement variance ratio unit root test procedure," Statistical Software Components RTS00231, Boston College Department of Economics.
- Andrew W. Lo & A. Craig MacKinlay, 1987. "Stock Market Prices Do Not Follow Random Walks: Evidence From a Simple Specification Test," NBER Working Papers 2168, National Bureau of Economic Research, Inc.
- Luginbuhl, Rob & de Vos, Aart, 1999. "Bayesian Analysis of an Unobserved-Component Time Series Model of GDP with Markov-Switching and Time-Varying Growths," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 456-65, October.
- Goldfeld, Stephen M. & Quandt, Richard E., 1973. "A Markov model for switching regressions," Journal of Econometrics, Elsevier, vol. 1(1), pages 3-15, March.
- So, Mike K P & Li, W K, 1999. "Bayesian Unit-Root Testing in Stochastic Volatility Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 491-96, October.
- 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.
- Billio, M. & Monfort, A. & Robert, C. P., 1999. "Bayesian estimation of switching ARMA models," Journal of Econometrics, Elsevier, vol. 93(2), pages 229-255, December.
When requesting a correction, please mention this item's handle: RePEc:ecm:wc2000:1363. 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: (Christopher F. Baum)
If references are entirely missing, you can add them using this form.