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Testing for stock market bubbles using nonlinear models and fractional integration

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  • J. Cunado
  • L. A. Gil-Alana
  • F. Perez de Gracia

Abstract

In this article we test for bubbles in the S&P 500 stock market index using monthly data over the period 1871m1-2004m6. We use fractional integration techniques, allowing for structural breaks and a nonlinear adjustment process of prices to dividends. We find a significant structural break around 1932, a period in which the stock market began rising again after the market crash of 1929. Furthermore, we do not find evidence of asymmetric adjustment of prices to dividends when using both momentum-threshold autoregressive and threshold autoregressive models. Finally, we cannot reject the hypothesis of orders of integration equal to or higher than one and thus, we find support for the existence of bubbles in the S&P 500 stock market index.

Suggested Citation

  • J. Cunado & L. A. Gil-Alana & F. Perez de Gracia, 2007. "Testing for stock market bubbles using nonlinear models and fractional integration," Applied Financial Economics, Taylor & Francis Journals, vol. 17(16), pages 1313-1321.
    • Handle: RePEc:taf:apfiec:v:17:y:2007:i:16:p:1313-1321
    DOI: 10.1080/09603100600970081
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    3. Dettoni, Robinson & Gil-Alana, Luis A. & Yaya, OlaOluwa S., 2024. "Stock market prices and Dividends in the US: Bubbles or Long-run equilibria relationships?," International Review of Financial Analysis, Elsevier, vol. 94(C).
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    5. Waleed Khalid & Kashif Ur Rehman & Muhammad Kashif, 2019. "The Impact of Merger and Acquisition Firms on Stock Market Bubble," Global Regional Review, Humanity Only, vol. 4(1), pages 335-342, March.
    6. Marcel Aloy & Mohamed Boutahar & Karine Gente & Anne Péguin-feissolle, 2010. "Fractional integration and cointegration in stock prices and exchange rates," Economics Bulletin, AccessEcon, vol. 30(1), pages 115-129.
    7. Jung‐Suk Yu & M. Kabir Hassan, 2010. "Rational speculative bubbles in MENA stock markets," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 27(3), pages 247-264, August.
    8. Mehmet Balcilar & Rangan Gupta & Charl Jooste & Omid Ranjbar, 2015. "Characterising the South African Business Cycle: Is GDP Difference-Stationary or Trend-Stationary in a Markov-Switching Setup?," Working Papers 15-04, Eastern Mediterranean University, Department of Economics.
    9. Lyócsa, Štefan & Výrost, Tomáš & Baumöhl, Eduard, 2011. "Unit-root and stationarity testing with empirical application on industrial production of CEE-4 countries," MPRA Paper 29648, University Library of Munich, Germany.
    10. Ivasiuc Arina, 2023. "Herding Behavior in Frontier Nordic Countries," Studia Universitatis Babeș-Bolyai Oeconomica, Sciendo, vol. 68(1), pages 21-41, April.
    11. Aloy, Marcel & Boutahar, Mohamed & Gente, Karine & Péguin-Feissolle, Anne, 2011. "Purchasing power parity and the long memory properties of real exchange rates: Does one size fit all?," Economic Modelling, Elsevier, vol. 28(3), pages 1279-1290, May.
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    13. Caspi, Itamar & Katzke, Nico & Gupta, Rangan, 2018. "Date stamping historical periods of oil price explosivity: 1876–2014," Energy Economics, Elsevier, vol. 70(C), pages 582-587.
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