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Recursive Right-Tailed Unit Root Tests for an Explosive Asset Price Bubble

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  • David I. Harvey
  • Stephen J. Leybourne
  • Robert Sollis

Abstract

In this article, we compare the local asymptotic and finite sample power of two recently proposed recursive right-tailed Dickey–Fuller-type tests for an explosive rational bubble in asset prices. It is shown that the power of the two tests can differ substantially depending on the location of the explosive regime, and whether such a regime ends in collapse. Since this information is typically unknown to the practitioner, we propose a union of rejections strategy that combines inference from the two individual tests. We find that, for a given specification of the explosive regime, the union of rejections strategy always attains power close to the better of the individual tests considered. An empirical illustration using the Nasdaq composite price index is also provided.

Suggested Citation

  • David I. Harvey & Stephen J. Leybourne & Robert Sollis, 2015. "Recursive Right-Tailed Unit Root Tests for an Explosive Asset Price Bubble," Journal of Financial Econometrics, Oxford University Press, vol. 13(1), pages 166-187.
    • Handle: RePEc:oup:jfinec:v:13:y:2015:i:1:p:166-187.
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    File URL: http://hdl.handle.net/10.1093/jjfinec/nbt025
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    Cited by:

    1. Escobari, Diego & Garcia, Sergio & Mellado, Cristhian, 2017. "Identifying bubbles in Latin American equity markets: Phillips-Perron-based tests and linkages," Emerging Markets Review, Elsevier, vol. 33(C), pages 90-101.
    2. Jalan, Akanksha & Matkovskyy, Roman & Potì, Valerio, 2022. "Shall the winning last? A study of recent bubbles and persistence," Finance Research Letters, Elsevier, vol. 45(C).
    3. Pang, Tianxiao & Du, Lingjie & Chong, Terence Tai-Leung, 2021. "Estimating multiple breaks in nonstationary autoregressive models," Journal of Econometrics, Elsevier, vol. 221(1), pages 277-311.
    4. KIRKPINAR, Aysegul & ERER, Elif & ERER, Deniz, 2019. "Is There A Rational Bubble In Bist 100 And Sector Indices?," Studii Financiare (Financial Studies), Centre of Financial and Monetary Research "Victor Slavescu", vol. 23(3), pages 21-33, September.
    5. Benjamin Beckers, 2015. "The Real-Time Predictive Content of Asset Price Bubbles for Macro Forecasts," Discussion Papers of DIW Berlin 1496, DIW Berlin, German Institute for Economic Research.
    6. Nishi, Mikihito & 西, 幹仁 & Kurozumi, Eiji & 黒住, 英司, 2022. "Stochastic Local and Moderate Departures from a Unit Root and Its Application to Unit Root Testing," Discussion Papers 2022-02, Graduate School of Economics, Hitotsubashi University.
    7. Eiji Kurozumi, 2021. "Asymptotic Behavior of Delay Times of Bubble Monitoring Tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(3), pages 314-337, May.
    8. Skrobotov Anton, 2023. "Testing for explosive bubbles: a review," Dependence Modeling, De Gruyter, vol. 11(1), pages 1-26, January.
    9. Wang, Shaoping & Feng, Hao & Gao, Da, 2023. "Testing for short explosive bubbles: A case of Brent oil futures price," Finance Research Letters, Elsevier, vol. 52(C).
    10. Sinelnikova-Muryleva, Elena & Skrobotov, Anton, 2017. "Testing time series for the bubbles (with application to Russian data)," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 46, pages 90-103.
    11. Zhao, Zhao & Wen, Huwei & Li, Ke, 2021. "Identifying bubbles and the contagion effect between oil and stock markets: New evidence from China," Economic Modelling, Elsevier, vol. 94(C), pages 780-788.
    12. Moreira, Afonso M. & Martins, Luis F., 2020. "A new mechanism for anticipating price exuberance," International Review of Economics & Finance, Elsevier, vol. 65(C), pages 199-221.
    13. Christopher Lynch & Benjamin Mestel, 2019. "Change-Point Analysis Of Asset Price Bubbles With Power-Law Hazard Function," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(07), pages 1-24, November.
    14. Figuerola-Ferretti, Isabel & McCrorie, J. Roderick, 2016. "The shine of precious metals around the global financial crisis," Journal of Empirical Finance, Elsevier, vol. 38(PB), pages 717-738.
    15. Sam Astill & David I Harvey & Stephen J Leybourne & A M Robert Taylor & Yang Zu, 2023. "CUSUM-Based Monitoring for Explosive Episodes in Financial Data in the Presence of Time-Varying Volatility," Journal of Financial Econometrics, Oxford University Press, vol. 21(1), pages 187-227.
    16. Alexakis, Christos & Bagnarosa, Guillaume & Dowling, Michael, 2017. "Do cointegrated commodities bubble together? the case of hog, corn, and soybean," Finance Research Letters, Elsevier, vol. 23(C), pages 96-102.
    17. Marco R. Barassi & Nicola Spagnolo & Yuqian Zhao, 2018. "Fractional Integration Versus Structural Change: Testing the Convergence of $$\hbox {CO}_{2}$$ CO 2 Emissions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 71(4), pages 923-968, December.

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