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A Duration Hidden Markov Model for the Identification of Regimes in Stock Market Returns

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  • Christos Ntantamis

    (School of Economics and Management, University of Aarhus and CREATES)

Abstract

This paper introduces a Duration Hidden Markov Model to model bull and bear market regime switches in the stock market; the duration of each state of the Markov Chain is a random variable that depends on a set of exogenous variables. The model not only allows the endogenous determination of the different regimes and but also estimates the effect of the explanatory variables on the regimes' durations. The model is estimated here on NYSE returns using the short-term interest rate and the interest rate spread as exogenous variables. The bull market regime is assigned to the identified state with the higher mean and lower variance; bull market duration is found to be negatively dependent on short-term interest rates and positively on the interest rate spread, while bear market duration depends positively the short-term interest rate and negatively on the interest rate spread.

Suggested Citation

  • Christos Ntantamis, 2010. "A Duration Hidden Markov Model for the Identification of Regimes in Stock Market Returns," CREATES Research Papers 2010-51, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2010-51
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    File URL: https://repec.econ.au.dk/repec/creates/rp/10/rp10_51.pdf
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    References listed on IDEAS

    as
    1. Dueker, Michael J, 1997. "Markov Switching in GARCH Processes and Mean-Reverting Stock-Market Volatility," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 26-34, January.
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    Cited by:

    1. John M. Maheu & Thomas H. McCurdy & Yong Song, 2012. "Components of Bull and Bear Markets: Bull Corrections and Bear Rallies," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(3), pages 391-403, February.
    2. Zegadło, Piotr, 2022. "Identifying bull and bear market regimes with a robust rule-based method," Research in International Business and Finance, Elsevier, vol. 60(C).

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    More about this item

    Keywords

    Hidden Markov Model; Variable-dependent regime duration; Regime Switching; Interest rate effect;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G1 - Financial Economics - - General Financial Markets

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