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Markov-switching Unit Root Test: A study of the Property Price Bubbles in Hong Kong and Seoul

Author

Listed:
  • Qin Xiao

    (Division of Economics,School of Humanities and Social Sciences, Nanyang Technological University, Singapore)

  • Randolph Gee Kwang Tan

    (Division of Economics,School of Humanities and Social Sciences, Nanyang Technological University, Singapore)

Abstract

Evans (1991) demonstrates that the unit root tests recommended by Hamilton and Whiteman (1985) and Diba and Grossman (1988) will fail to detect periodically collapsing rational bubbles. Hall et al. (1999) however show that the power of this test procedure can be improved by incorporating a Markov-switching state variable. In this paper, we apply both procedures to selected data from Hong Kong and Seoul. Both point to the possible existence of a periodically-collapsing bubble in each price series investigated, with the second procedure more precise on timing the bubble. Our Markovswitching model is validated using a symmetry test and a Wald test.

Suggested Citation

  • Qin Xiao & Randolph Gee Kwang Tan, 2006. "Markov-switching Unit Root Test: A study of the Property Price Bubbles in Hong Kong and Seoul," Economic Growth Centre Working Paper Series 0602, Nanyang Technological University, School of Social Sciences, Economic Growth Centre.
  • Handle: RePEc:nan:wpaper:0602
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    File URL: http://www3.ntu.edu.sg/hss2/egc/wp/2006/2006-02.pdf
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    References listed on IDEAS

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    1. 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.
    2. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    3. 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.
    4. Alok Bhargava, 1986. "On the Theory of Testing for Unit Roots in Observed Time Series," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 369-384.
    5. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    6. Robert Breunig & Serinah Najarian & Adrian Pagan, 2003. "Specification Testing of Markov Switching Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(s1), pages 703-725, December.
    7. Giuseppe Cavaliere, 2003. "Asymptotics for unit root tests under Markov regime-switching," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 193-216, June.
    8. 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.
    9. 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.
    10. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    11. Raymond, Jennie E & Rich, Robert W, 1997. "Oil and the Macroeconomy: A Markov State-Switching Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(2), pages 193-213, May.
    12. Cecchetti, Stephen G & Lam, Pok-sang & Mark, Nelson C, 1990. "Mean Reversion in Equilibrium Asset Prices," American Economic Review, American Economic Association, vol. 80(3), pages 398-418, June.
    13. Chan, Hing Lin & Lee, Shu Kam & Woo, Kai Yin, 2001. "Detecting rational bubbles in the residential housing markets of Hong Kong," Economic Modelling, Elsevier, vol. 18(1), pages 61-73, January.
    14. Hamilton, James D., 1986. "State-space models," Handbook of Econometrics,in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 50, pages 3039-3080 Elsevier.
    15. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    16. Robert P. Flood & Robert J. Hodrick & Paul Kaplan, 1986. "An Evaluation of Recent Evidence on Stock Market Bubbles," NBER Working Papers 1971, National Bureau of Economic Research, Inc.
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    18. Kim, Kyung-Hwan & Suh, Seoung Hwan, 1993. "Speculation and Price Bubbles in the Korean and Japanese Real Estate Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 6(1), pages 73-87, January.
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    Cited by:

    1. Beatrice D. Simo - Kengne & Mehmet Balcilar & Rangan Gupta & Monique Reid & Goodness C. Aye, 2012. "Is the relationship between monetary policy and house prices asymmetric in South Africa? Evidence from a Markov-Switching Vector Autoregressive mode," Working Papers 15-26, Eastern Mediterranean University, Department of Economics.
    2. Simo-Kengne, Beatrice D. & Balcilar, Mehmet & Gupta, Rangan & Reid, Monique & Aye, Goodness C., 2013. "Is the relationship between monetary policy and house prices asymmetric across bull and bear markets in South Africa? Evidence from a Markov-switching vector autoregressive model," Economic Modelling, Elsevier, vol. 32(C), pages 161-171.

    More about this item

    Keywords

    Markov-switching; unit root test; periodically-collapsing bubble; real-estate;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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