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Identification of speculative bubbles using state-space models with Markov-switching

Author

Listed:
  • Nael Al-Anaswah
  • Bernd Wilfling

Abstract

In this paper we use a state-space model with Markov-switching to detect speculative bubbles in stock-price data. Our two innovations are (1) to adapt this technology to the state-space representation of a well-known present-value stock-price model, and (2) to estimate the model via Kalman-filtering using a plethora of artificial as well as real-world data sets that are known to contain bubble periods. Analyzing the smoothed regime probabilities, we find that our technology is well suited to detecting stock-price bubbles in both types of data sets.

Suggested Citation

  • Nael Al-Anaswah & Bernd Wilfling, 2009. "Identification of speculative bubbles using state-space models with Markov-switching," CQE Working Papers 0309, Center for Quantitative Economics (CQE), University of Muenster.
  • Handle: RePEc:cqe:wpaper:0309
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    1. Hamilton, James D., 1988. "Rational-expectations econometric analysis of changes in regime : An investigation of the term structure of interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 385-423.
    2. Wu, Yangru, 1995. "Are there rational bubbles in foreign exchange markets? Evidence from an alternative test," Journal of International Money and Finance, Elsevier, vol. 14(1), pages 27-46, February.
    3. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    4. Kenneth D. West, 1987. "A Specification Test for Speculative Bubbles," The Quarterly Journal of Economics, Oxford University Press, vol. 102(3), pages 553-580.
    5. Hansen, Bruce E, 1992. "The Likelihood Ratio Test under Nonstandard Conditions: Testing the Markov Switching Model of GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 61-82, Suppl. De.
    6. Owen Lamont, 1998. "Earnings and Expected Returns," Journal of Finance, American Finance Association, vol. 53(5), pages 1563-1587, October.
    7. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    8. Marcelle Chauvet & James D. Hamilton, 2005. "Dating Business Cycle Turning Points," NBER Working Papers 11422, National Bureau of Economic Research, Inc.
    9. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
    10. Marcelle Chauvet & Jeremy M. Piger, 2003. "Identifying business cycle turning points in real time," Review, Federal Reserve Bank of St. Louis, vol. 85(Mar), pages 47-61.
    11. West, Kenneth D, 1988. "Dividend Innovations and Stock Price Volatility," Econometrica, Econometric Society, vol. 56(1), pages 37-61, January.
    12. Keith Cuthbertson & Dirk Nitzsche & Niall O' Sullivan, 2004. "UK Mutual Fund Performance: Genuine Stock-Picking Ability or Luck," Money Macro and Finance (MMF) Research Group Conference 2004 55, Money Macro and Finance Research Group.
    13. Wu, Yangru, 1997. "Rational Bubbles in the Stock Market: Accounting for the U.S. Stock-Price Volatility," Economic Inquiry, Western Economic Association International, vol. 35(2), pages 309-319, April.
    14. Campbell, John Y & Shiller, Robert J, 1988. " Stock Prices, Earnings, and Expected Dividends," Journal of Finance, American Finance Association, vol. 43(3), pages 661-676, July.
    15. Allen F. & Morris S. & Postlewaite A., 1993. "Finite Bubbles with Short Sale Constraints and Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 61(2), pages 206-229, December.
    16. Robert Vigfusson & Simon van Norden, 1996. "Avoiding the Pitfalls: Can Regime-Switching Tests Detect Bubbles?," Staff Working Papers 96-11, Bank of Canada.
    17. Henry, Ólan T., 2009. "Regime switching in the relationship between equity returns and short-term interest rates in the UK," Journal of Banking & Finance, Elsevier, vol. 33(2), pages 405-414, February.
    18. Chen, An-Sing & Cheng, Lee-Young & Cheng, Kuang-Fu, 2009. "Intrinsic bubbles and Granger causality in the S&P 500: Evidence from long-term data," Journal of Banking & Finance, Elsevier, vol. 33(12), pages 2275-2281, December.
    19. Hansen, Bruce E, 1996. "Erratum: The Likelihood Ratio Test under Nonstandard Conditions: Testing the Markov Switching Model of GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 195-198, March-Apr.
    20. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1999. "Detecting Periodically Collapsing Bubbles: A Markov-Switching Unit Root Test," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(2), pages 143-154, March-Apr.
    21. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    22. Gelman, Sergey & Wilfling, Bernd, 2009. "Markov-switching in target stocks during takeover bids," Journal of Empirical Finance, Elsevier, vol. 16(5), pages 745-758, December.
    23. Goodwin, Thomas H, 1993. "Business-Cycle Analysis with a Markov-Switching Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 331-339, July.
    24. Chen, Shiu-Sheng, 2009. "Predicting the bear stock market: Macroeconomic variables as leading indicators," Journal of Banking & Finance, Elsevier, vol. 33(2), pages 211-223, February.
    25. Chris Brooks & Apostolos Katsaris, 2005. "A Three-Regime Model of Speculative Behaviour: Modelling the Evolution of the S&P 500 Composite Index," Economic Journal, Royal Economic Society, vol. 115(505), pages 767-797, July.
    26. Ang, Andrew & Bekaert, Geert, 2002. "Regime Switches in Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 163-182, April.
    27. Choudhry, Taufiq, 2010. "World War II events and the Dow Jones industrial index," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 1022-1031, May.
    28. 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 357-384, March.
    29. van Norden Simon & Vigfusson Robert, 1998. "Avoiding the Pitfalls: Can Regime-Switching Tests Reliably Detect Bubbles?," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(1), pages 1-24, April.
    30. Garcia, Rene, 1998. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 763-788, August.
    31. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-530, June.
    32. Chauvet, Marcelle, 1998. "An Econometric Characterization of Business Cycle Dynamics with Factor Structure and Regime Switching," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 969-996, November.
    33. Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-930, September.
    34. Driffill, John & Sola, Martin, 1998. "Intrinsic bubbles and regime-switching," Journal of Monetary Economics, Elsevier, vol. 42(2), pages 357-373, July.
    35. Allen, Franklin & Gale, Douglas, 2000. "Bubbles and Crises," Economic Journal, Royal Economic Society, vol. 110(460), pages 236-255, January.
    36. Charemza, Wojciech W. & Deadman, Derek F., 1995. "Speculative bubbles with stochastic explosive roots: The failure of unit root testing," Journal of Empirical Finance, Elsevier, vol. 2(2), pages 153-163, June.
    37. Chang-Jin Kim & Charles R. Nelson, 1999. "State-Space Models with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262112388, April.
    38. McMillan, David G., 2007. "Bubbles in the dividend-price ratio? Evidence from an asymmetric exponential smooth-transition model," Journal of Banking & Finance, Elsevier, vol. 31(3), pages 787-804, March.
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    More about this item

    Keywords

    Stock market dynamics; Detection of speculative bubbles; Present value models; State-space models with Markov-switching;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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