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Testing for a rational bubble under long memory

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  • Michael Fr�mmel
  • Robinson Kruse

Abstract

We analyse the time series properties of the S&P500 dividend--price ratio in the light of long-memory, structural breaks and rational bubbles. We find an increase in the long-memory parameter in the early 1990s by applying a test recently proposed by Sibbertsen and Kruse [ J. Time Series Anal. , 2009, 30 , 263--285]. An application of the unit root test against long memory of Demetrescu et al. [ Econometr. Theory , 2008, 24 , 176--215] suggests that the pre-break data can be characterized by long memory, while the post-break sample contains a unit root. These results reconcile two empirical findings that are seen as contradictory: on the one hand, they confirm the existence of fractional integration in the S&P500 log-dividend--price ratio and, on the other, they are consistent with the existence of a rational bubble. The result of a changing memory parameter in the dividend--price ratio has an important implication for the literature on return predictability: the shift from a stationary dividend--price ratio to a unit root process in 1991 is likely to have caused the well-documented failure of conventional return prediction models since the 1990s.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Quantitative Finance.

Volume (Year): 12 (2012)
Issue (Month): 11 (November)
Pages: 1723-1732

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Handle: RePEc:taf:quantf:v:12:y:2012:i:11:p:1723-1732

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  1. Florian Heinen & Philipp Sibbertsen & Robinson Kruse, 2009. "Forecasting long memory time series under a break in persistence," CREATES Research Papers 2009-53, School of Economics and Management, University of Aarhus.
  2. Refet S. Gürkaynak, 2008. "Econometric Tests Of Asset Price Bubbles: Taking Stock ," Journal of Economic Surveys, Wiley Blackwell, vol. 22(1), pages 166-186, 02.
  3. Martin Lettau & Stijn Van Nieuwerburgh, 2006. "Reconciling the Return Predictability Evidence," 2006 Meeting Papers 29, Society for Economic Dynamics.
  4. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
  5. Lubos Pastor & Robert F. Stambaugh, 2000. "The Equity Premium and Structural Breaks," NBER Working Papers 7778, National Bureau of Economic Research, Inc.
  6. Campbell, John & Shiller, Robert, 1987. "Cointegration and Tests of Present Value Models," Scholarly Articles 3122490, Harvard University Department of Economics.
  7. 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.
  8. Denis Kwiatkowski & Peter C.B. Phillips & Peter Schmidt, 1991. "Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure Are We That Economic Time Series Have a Unit Root?," Cowles Foundation Discussion Papers 979, Cowles Foundation for Research in Economics, Yale University.
  9. Robert Sollis, 2006. "Testing for bubbles: an application of tests for change in persistence," Applied Financial Economics, Taylor & Francis Journals, vol. 16(6), pages 491-498.
  10. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-74, May.
  11. Maureen O'Hara, 2008. "Bubbles: Some Perspectives (and Loose Talk) from History," Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 11-17, January.
  12. Demetrescu, Matei & Kuzin, Vladimir & Hassler, Uwe, 2008. "Long Memory Testing In The Time Domain," Econometric Theory, Cambridge University Press, vol. 24(01), pages 176-215, February.
  13. Sibbertsen, Philipp & Kruse, Robinson, 2007. "Testing for a break in persistence under long-range dependencies," Hannover Economic Papers (HEP) dp-381, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  14. Stephen Leybourne & Robert Taylor & Tae-Hwan Kim, 2007. "CUSUM of Squares-Based Tests for a Change in Persistence," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(3), pages 408-433, 05.
  15. Cunado, J. & Gil-Alana, L.A. & de Gracia, F. Perez, 2005. "A test for rational bubbles in the NASDAQ stock index: A fractionally integrated approach," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2633-2654, October.
  16. Owen Lamont, . "Earnings and Expected Returns," CRSP working papers 345, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  17. Sibbertsen, Philipp & Willert, Juliane, 2009. "Testing for a break in persistence under long-range dependencies and mean shifts," Hannover Economic Papers (HEP) dp-422, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  18. Craine, Roger, 1993. "Rational bubbles : A test," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 829-846.
  19. Bohl, Martin T., 2003. "Periodically collapsing bubbles in the US stock market?," International Review of Economics & Finance, Elsevier, vol. 12(3), pages 385-397.
  20. Koustas, Zisimos & Serletis, Apostolos, 2005. "Rational bubbles or persistent deviations from market fundamentals?," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2523-2539, October.
  21. Davidson, James & Sibbertsen, Philipp, 2005. "Tests of Bias in Log-Periodogram Regression," Hannover Economic Papers (HEP) dp-317, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  22. Peter C.B. Phillips & Yangru Wu & Jun Yu, 2009. "Explosive Behavior in the 1990s Nasdaq: When Did Exuberance Escalate Asset Values?," Cowles Foundation Discussion Papers 1699, Cowles Foundation for Research in Economics, Yale University.
  23. Stambaugh, Robert F., 1999. "Predictive regressions," Journal of Financial Economics, Elsevier, vol. 54(3), pages 375-421, December.
  24. 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.
  25. Taylor, Mark P. & Peel, David A., 1998. "Periodically collapsing stock price bubbles: a robust test," Economics Letters, Elsevier, vol. 61(2), pages 221-228, November.
  26. Hauser, Michael A, 1997. "Semiparametric and Nonparametric Testing for Long Memory: A Monte Carlo Study," Empirical Economics, Springer, vol. 22(2), pages 247-71.
  27. Park, Cheolbeom, 2010. "When does the dividend-price ratio predict stock returns?," Journal of Empirical Finance, Elsevier, vol. 17(1), pages 81-101, January.
  28. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
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Cited by:
  1. Jörg Breitung & Robinson Kruse, 2013. "When bubbles burst: econometric tests based on structural breaks," Statistical Papers, Springer, vol. 54(4), pages 911-930, November.
  2. Bond, Derek & Gallagher, Emer & Ramsey, Elaine, 2012. "A preliminary investigation of northern Ireland's housing market dynamics," MPRA Paper 39806, University Library of Munich, Germany.
  3. Sibbertsen, Philipp & Wegener, Christoph & Basse, Tobias, 2014. "Testing for a break in the persistence in yield spreads of EMU government bonds," Journal of Banking & Finance, Elsevier, vol. 41(C), pages 109-118.

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