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Duration Dependence in Stock Prices: An Analysis of Bull and Bear Markets

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Author Info
Asger Lunde (Aalborg University)
Allan Timmermann (University of California)

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Abstract

This paper investigates the presence of bull and bear market states in stock price dynamics. A new definition of bull and bear market states based on sequences of stopping times tracing local peaks and troughs in stock prices is proposed. Duration dependence in stock prices is investigated through posterior mode estimates of the hazard function in bull and bear markets. We find that the longer a bull market has lasted, the lower is the probability that it will come to a termination. In contrast, the longer a bear market has lasted, the higher is its termination probability. Interest rates are also found to have an important effect on cumulated changes in stock prices: increasing interest rates are associated with an increase in bull market hazard rates and a decrease in bear market hazard rates.

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Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 1216.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:1216

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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.:
  1. Durland, J Michael & McCurdy, Thomas H, 1994. "Duration-Dependent Transitions in a Markov Model of U.S. GNP Growth," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 279-88, July.
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  2. John M. Maheu & Tom McCurdy, 2000. "Volatility Dynamics Under Duration-Dependent Mixing," Econometric Society World Congress 2000 Contributed Papers 1427, Econometric Society. [Downloadable!]
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  3. Matthew Richardson & James H. Stock, 1990. "Drawing Inferences From Statistics Based on Multi-Year Asset Returns," NBER Working Papers 3335, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. Wang, Jiang, 1993. "A Model of Intertemporal Asset Prices under Asymmetric Information," Review of Economic Studies, Blackwell Publishing, vol. 60(2), pages 249-82, April. [Downloadable!] (restricted)
  5. M. Hashem Pesaran & Allan Timmermann, 1995. "Predictability of Stock Returns: Robustness and Economic Significance," University of California at San Diego, Economics Working Paper Series 95-19, Department of Economics, UC San Diego.
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  6. Gabriel Perez-Quiros & Allan Timmermann, 2000. "Firm Size and Cyclical Variations in Stock Returns," Journal of Finance, American Finance Association, vol. 55(3), pages 1229-1262, 06. [Downloadable!] (restricted)
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  7. Francis X. Diebold & Glenn D. Rudebusch & Daniel E. Sichel, 1991. "Further evidence on business cycle duration dependence," Working Papers 91-11, Federal Reserve Bank of Philadelphia.
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  8. Faust, Jon, 1992. "When Are Variance Ratio Tests for Serial Dependence Optimal?," Econometrica, Econometric Society, vol. 60(5), pages 1215-26, September. [Downloadable!] (restricted)
  9. Diebold, Francis X & Rudebusch, Glenn D, 1990. "A Nonparametric Investigation of Duration Dependence in the American Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 596-616, June. [Downloadable!] (restricted)
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  10. 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. [Downloadable!] (restricted)
  11. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 2000. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good to Be True?," American Economic Review, American Economic Association, vol. 90(4), pages 787-805, September. [Downloadable!] (restricted)
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  12. Sueyoshi, Glenn T, 1995. "A Class of Binary Response Models for Grouped Duration Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 411-31, Oct.-Dec.. [Downloadable!] (restricted)
  13. Stephen J. Brown & William N. Goetzmann & Alok Kumar, 1998. "The Dow Theory: William Peter Hamilton's Track Record Reconsidered," Journal of Finance, American Finance Association, vol. 53(4), pages 1311-1333, 08. [Downloadable!] (restricted)
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  14. Robert F. Engle & Gary G.J. Lee, 1993. "A Permanent and Transitory Component Model of Stock Return Volatility," University of California at San Diego, Economics Working Paper Series 92-44r, Department of Economics, UC San Diego. [Downloadable!]
  15. Fabozzi, Frank J & Francis, Jack Clark, 1977. "Stability Tests for Alphas and Betas over Bull and Bear Market Conditions," Journal of Finance, American Finance Association, vol. 32(4), pages 1093-99, September. [Downloadable!] (restricted)
  16. 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)
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  17. Lawrence R. Glosten & Ravi Jagannathan & David E. Runkle, 1993. "On the relation between the expected value and the volatility of the nominal excess return on stocks," Staff Report 157, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  18. McQueen, Grant & Thorley, Steven, 1994. "Bubbles, Stock Returns, and Duration Dependence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(03), pages 379-401, September. [Downloadable!]
  19. Allan Timmermann & Halbert White & Ryan Sullivan, 1998. "Data-Snooping, Technical Trading, Rule Performance and the Bootstrap," FMG Discussion Papers dp303, Financial Markets Group. [Downloadable!] (restricted)
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  20. 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)
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  21. Kiefer, Nicholas M, 1988. "Economic Duration Data and Hazard Functions," Journal of Economic Literature, American Economic Association, vol. 26(2), pages 646-79, June. [Downloadable!] (restricted)
  22. Brock, William & Lakonishok, Josef & LeBaron, Blake, 1992. " Simple Technical Trading Rules and the Stochastic Properties of Stock Returns," Journal of Finance, American Finance Association, vol. 47(5), pages 1731-64, December. [Downloadable!] (restricted)
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  23. Bollerslev, Tim & Ole Mikkelsen, Hans, 1996. "Modeling and pricing long memory in stock market volatility," Journal of Econometrics, Elsevier, vol. 73(1), pages 151-184, July. [Downloadable!] (restricted)
  24. Kim, Moon K. & Zumwalt, J. Kenton, 1979. "An Analysis of Risk in Bull and Bear Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(05), pages 1015-1025, December. [Downloadable!]
  25. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November. [Downloadable!] (restricted)
  26. 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. [Downloadable!]
  27. 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.
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Cited by:
(explanations, 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.)

  1. M. Hashem Pesaran & Allan Timmermann, 2006. "Testing Dependence among Serially Correlated Multi-category Variables," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  2. James D. Hamilton & Oscar Jorda, 2000. "A Model for the Federal Funds Rate Target," NBER Working Papers 7847, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. John M Maheu & Thomas H McCurdy & Yong Song, 2009. "Extracting bull and bear markets from stock returns," Working Papers tecipa-369, University of Toronto, Department of Economics. [Downloadable!]
  4. George Woodward & Heather Anderson, 2003. "Does Beta React to Market Conditions? Estimates of Bull and Bear Betas using a Nonlinear Market Model with an Endogenous Threshold Parameter," Monash Econometrics and Business Statistics Working Papers 9/03, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  5. Asger Lunde & Allan Timmermann, 2005. "Completion time structures of stock price movements," Annals of Finance, Springer, vol. 1(3), pages 293-326, 08. [Downloadable!] (restricted)
  6. Torben G. Andersen & Dobrislav Dobrev & Ernst Schaumburg, 2009. "Duration-Based Volatility Estimation," Global COE Hi-Stat Discussion Paper Series gd08-034, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  7. Adrian pagan & Don Harding, 2006. "The Econometric Analysis of Constructed Binary Time Series. Working paper #1," NCER Working Paper Series 1, National Centre for Econometric Research. [Downloadable!]
  8. Rose Cunningham & Ilan Kolet, 2007. "Housing Market Cycles and Duration Dependence in the United States and Canada," Working Papers 07-2, Bank of Canada. [Downloadable!]
  9. Akifumi Isogai & Satoru Kanoh & Toshifumi Tokunaga, 2004. "An Extension of the Markov-Switching Model with Time-Varying Transition Probabilities: Bull-Bear Analysis of the Japanese Stock Market," Hi-Stat Discussion Paper Series d04-43, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  10. Eric Girardin & Zhenya Liu, 2003. "The Chinese Stock Market: A Casino with 'Buffer Zones'?," Journal of Chinese Economic and Business Studies, Taylor and Francis Journals, vol. 1(1), pages 57-70, January. [Downloadable!] (restricted)
  11. Don Harding & Adrian Pagan, 2006. "The Econometric Analysis of Constructed Binary Time Series," Department of Economics - Working Papers Series 963, The University of Melbourne. [Downloadable!]
  12. 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. [Downloadable!]
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