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Extracting bull and bear markets from stock returns

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  • John M Maheu
  • Thomas H McCurdy
  • Yong Song

Abstract

Traditional methods used to partition the market index into bull and bear regimes often sort returns ex post based on a deterministic rule. We model the entire return distribution; two states govern the bull regime and two govern the bear regime, allowing for rich and heterogeneous intra-regime dynamics. Our model can capture bear market rallies and bull market corrections. A Bayesian estimation approach accounts for parameter and regime uncertainty and provides probability statements regarding future regimes and returns. Applied to 123 years of data our model provides superior identification of trends in stock prices.

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Bibliographic Info

Paper provided by University of Toronto, Department of Economics in its series Working Papers with number tecipa-369.

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Length: 34 pages
Date of creation: 06 Aug 2009
Date of revision:
Handle: RePEc:tor:tecipa:tecipa-369

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Related research

Keywords: Markov switching; bear market rallies; bull market corrections; Gibbs sampling;

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References

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  1. Perez-Quiros, Gabriel & Timmermann, Allan, 2001. "Business cycle asymmetries in stock returns: Evidence from higher order moments and conditional densities," Journal of Econometrics, Elsevier, vol. 103(1-2), pages 259-306, July.
  2. Turner, Christopher M. & Startz, Richard & Nelson, Charles R., 1989. "A Markov model of heteroskedasticity, risk, and learning in the stock market," Journal of Financial Economics, Elsevier, vol. 25(1), pages 3-22, November.
  3. Massimo Guidolin & Allan Timmerman, 2006. "International asset allocation under regime switching, skew and kurtosis preferences," Working Papers 2005-034, Federal Reserve Bank of St. Louis.
  4. 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.
  5. Massimo Guidolin & Allan Timmermann, 2005. "Economic Implications of Bull and Bear Regimes in UK Stock and Bond Returns," Economic Journal, Royal Economic Society, vol. 115(500), pages 111-143, 01.
  6. Gordon, Stephen & St-Amour, Pascal, 1999. "A Preference Regime Model of Bull and Bear Markets," Cahiers de recherche 9906, Université Laval - Département d'économique.
  7. Lunde, Asger & Timmermann, Allan G, 2003. "Duration Dependence in Stock Prices: An Analysis of Bull and Bear Markets," CEPR Discussion Papers 4104, C.E.P.R. Discussion Papers.
  8. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1998. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good To Be True?," NBER Working Papers 6354, National Bureau of Economic Research, Inc.
  9. Adrian R. Pagan & Kirill A. Sossounov, 2003. "A simple framework for analysing bull and bear markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 23-46.
  10. Chib, Siddhartha, 1996. "Calculating posterior distributions and modal estimates in Markov mixture models," Journal of Econometrics, Elsevier, vol. 75(1), pages 79-97, November.
  11. Hamilton, James D & Gang, Lin, 1996. "Stock Market Volatility and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(5), pages 573-93, Sept.-Oct.
  12. Maheu, John M & McCurdy, Thomas H, 2000. "Identifying Bull and Bear Markets in Stock Returns," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 100-112, January.
  13. Gerhard Bry & Charlotte Boschan, 1971. "Cyclical Analysis of Time Series: Selected Procedures and Computer Programs," NBER Books, National Bureau of Economic Research, Inc, number bry_71-1, October.
  14. Gonzalez, Liliana & Powell, John G. & Shi, Jing & Wilson, Antony, 2005. "Two centuries of bull and bear market cycles," International Review of Economics & Finance, Elsevier, vol. 14(4), pages 469-486.
  15. Turner, C.M. & Startz, R. & Nelson, C.R., 1989. "The Markov Model Of Heteroskedasticity, Risk And Learning In The Stock Market," Working Papers 89-01, University of Washington, Department of Economics.
  16. Andrew Ang & Geert Bekaert, 2002. "International Asset Allocation With Regime Shifts," Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1137-1187.
  17. Chauvet, Marcelle & Potter, Simon, 2000. "Coincident and leading indicators of the stock market," Journal of Empirical Finance, Elsevier, vol. 7(1), pages 87-111, May.
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Cited by:
  1. Frédérique BEC & Songlin ZENG, 2013. "Do Stock Returns Rebound After Bear Markets? An Empirical Analysis From Five OECD Countries," THEMA Working Papers 2013-21, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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