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Avoiding the Pitfalls: Can Regime-Switching Tests Detect Bubbles?

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Author Info
Simon van Norden (Bank of Canada, International Department)
Robert Vigfusson

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Abstract

Work on testing for bubbles has caused much debate, much of which has focused on methodology. Monte Carlo simulations reported in Evans (1991) showed that standard tests for unit roots and cointegration frequently reject the presence of bubbles even when such bubbles are present by construction. Evans referred to this problem as the pitfall of testing for bubbles. Since Evans' note, new tests for rational speculative bubbles that rely on regime switching have been proposed. van Norden and Schaller (1993) and van Norden (1996) use a switching regression to look for a time- varying relationship between returns and deviations from an approximate fundamental price. Hall and Sola (1993) and Funke, Hall and Sola (1994) test whether asset prices seem to switch between explosive growth and stationary behaviour. Our paper does Monte Carlo experiments using Evan's data generating process to gauge the performance of these two kinds of regime-switching tests. These rely heavily on new fast robust programs developed at the Bank of Canada for the estimation of switching regression models, which make Monte Carlo studies of such estimators practical. We find that for some (but not all) parameter values, regime-switching tests have significant amount of power to detect periodically collapsing bubbles. We also compare and contrast the performance of the two different regime-switching tests.

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Paper provided by EconWPA in its series Meeting papers with number 9603001.

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Date of creation: 08 Mar 1996
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Handle: RePEc:wpa:wuwpme:9603001

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References listed on IDEAS
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. Hamilton, James D. & Whiteman, Charles H., 1985. "The observable implications of self-fulfilling expectations," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 353-373, November. [Downloadable!] (restricted)
  2. Simon van Norden & Robert Vigfusson, 1996. "Regime-Switching Models: A Guide to the Bank of Canada Gauss Procedures," Econometrics 9603004, EconWPA. [Downloadable!]
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  3. Funke, Michael & Hall, Stephen & Sola, Martin, 1994. "Rational bubbles during Poland's hyperinflation: Implications and empirical evidence," European Economic Review, Elsevier, vol. 38(6), pages 1257-1276, June. [Downloadable!] (restricted)
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  4. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-81, September. [Downloadable!] (restricted)
  5. van Norden, Simon, 1996. "Regime Switching as a Test for Exchange Rate Bubbles," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 219-51, May-June. [Downloadable!] (restricted)
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  6. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-38, August. [Downloadable!] (restricted)
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  7. Weil, Philippe, 1990. "On the Possibility of Price Decreasing Bubbles," Econometrica, Econometric Society, vol. 58(6), pages 1467-74, November. [Downloadable!] (restricted)
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  8. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-87, August. [Downloadable!] (restricted)
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  9. Van Norden, S. & Schaller, H., 1996. "Speculative Behaviour, Regime-Switching and Stock Market Crashes," Working Papers 96-13, Bank of Canada. [Downloadable!]
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  10. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-30, June.
  11. LeRoy, Stephen F, 1989. "Efficient Capital Markets and Martingales," Journal of Economic Literature, American Economic Association, vol. 27(4), pages 1583-1621, December. [Downloadable!] (restricted)
  12. Francis X. Diebold & Joon-Haeng Lee & Gretchen C. Weinbach, 1993. "Regime switching with time-varying transition probabilities," Working Papers 93-12, Federal Reserve Bank of Philadelphia.
  13. van Norden, Simon & Schaller, Huntley, 1993. "The Predictability of Stock Market Regime: Evidence from the Toronto Stock Exchange," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 505-10, August. [Downloadable!] (restricted)
  14. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Intrinsic Bubbles: The Case of Stock Prices," American Economic Review, American Economic Association, vol. 81(5), pages 1189-214, December. [Downloadable!] (restricted)
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  15. Flood, Robert P & Hodrick, Robert J, 1990. "On Testing for Speculative Bubbles," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 85-101, Spring. [Downloadable!] (restricted)
  16. Gilles, Christian & LeRoy, Stephen F, 1992. "Bubbles and Charges," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 323-39, May. [Downloadable!] (restricted)
  17. Leroy, S.F., 1989. "Efficient Capital Markets And Martingales," University of California at Santa Barbara, Economics Working Paper Series 13-89, Department of Economics, UC Santa Barbara.
  18. West, Kenneth D, 1987. "A Specification Test for Speculative Bubbles," The Quarterly Journal of Economics, MIT Press, vol. 102(3), pages 553-80, August. [Downloadable!] (restricted)
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  19. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November. [Downloadable!] (restricted)
  20. 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. [Downloadable!] (restricted)
  21. Bhargava, Alok, 1986. "On the Theory of Testing for Unit Roots in Observed Time Series," Review of Economic Studies, Blackwell Publishing, vol. 53(3), pages 369-84, July. [Downloadable!] (restricted)
  22. Franklin Allen & Gary Gorton, 1991. "Rational Finite Bubbles," NBER Working Papers 3707, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  23. Diba, Behzad T & Grossman, Herschel I, 1987. "On the Inception of Rational Bubbles," The Quarterly Journal of Economics, MIT Press, vol. 102(3), pages 697-700, August. [Downloadable!] (restricted)
  24. Bulow, Jeremy & Klemperer, Paul, 1994. "Rational Frenzies and Crashes," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 1-23, February. [Downloadable!] (restricted)
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  25. Obstfeld, Maurice & Rogoff, Kenneth, 1986. "Ruling out divergent speculative bubbles," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 349-362, May. [Downloadable!] (restricted)
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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. Maurice J. Roche, 1999. "Irish House Prices - Will the Roof Cave In?," The Economic and Social Review, Economic and Social Studies, vol. 30(4), pages 343-362. [Downloadable!]
  2. Maurice J. Roche & Kieran McQuinn, 2000. "Speculation in agricultural land," Economics, Finance and Accounting Department Working Paper Series n1010700, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth. [Downloadable!]
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