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Rational bubbles and fractional integration

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  • Kruse, Robinson

Abstract

In this article we provide evidence for a rational bubble in S\&P 500 stock prices by applying a test for changing persistence under fractional integration proposed by Sibbertsen and Kruse (2007). We find strong evidence for stationary long memory before the estimated change point in 1955 and a unit root afterwards. These results bring two empirical findings in line: on one hand they confirm the previous result of fractional integration and on the other hand they support the hypothesis of a rational bubble.

Suggested Citation

  • Kruse, Robinson, 2008. "Rational bubbles and fractional integration," Hannover Economic Papers (HEP) dp-394, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    • Handle: RePEc:han:dpaper:dp-394
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    File URL: http://diskussionspapiere.wiwi.uni-hannover.de/pdf_bib/dp-394.pdf
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    References listed on IDEAS

    as
    1. Philipp Sibbertsen & Robinson Kruse, 2009. "Testing for a break in persistence under long‐range dependencies," Journal of Time Series Analysis, Wiley Blackwell, vol. 30(3), pages 263-285, May.
    2. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
    3. 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.
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    Keywords

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    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • 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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