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Improving the accuracy of asset price bubble start and end date estimators

Author

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

Abstract

Recent research has proposed using recursive right-tailed unit root tests to date the start and end of asset price bubbles. In this paper an alternative approach is proposed that utilises model-based minimum sum of squared residuals estimators combined with Bayesian Information Criterion model selection. Conditional on the presence of a bubble, the dating procedures suggested are shown to offer consistent estimation of the start and end dates of a fixed magnitude bubble, and can also be used to distinguish between different types of bubble process, i.e. a bubble that does or does not end in collapse, or a bubble that is ongoing at the end of the sample. Monte Carlo simulations show that the proposed dating approach out-performs the recursive unit root test methods for dating periods of explosive autoregressive behaviour in finite samples, particularly in terms of accurate identification of a bubble's end point. An empirical application involving Nasdaq stock prices is discussed.

Suggested Citation

  • Harvey, David I. & Leybourne, Stephen J. & Sollis, Robert, 2017. "Improving the accuracy of asset price bubble start and end date estimators," Journal of Empirical Finance, Elsevier, vol. 40(C), pages 121-138.
  • Handle: RePEc:eee:empfin:v:40:y:2017:i:c:p:121-138
    DOI: 10.1016/j.jempfin.2016.11.001
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    References listed on IDEAS

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    Cited by:

    1. Yang Hu, 2023. "A review of Phillips‐type right‐tailed unit root bubble detection tests," Journal of Economic Surveys, Wiley Blackwell, vol. 37(1), pages 141-158, February.
    2. H. Peter Boswijk & Jun Yu & Yang Zu, 2024. "Testing for an Explosive Bubble using High-Frequency Volatility," Working Papers 202402, University of Macau, Faculty of Business Administration.
    3. Horváth, Lajos & Li, Hemei & Liu, Zhenya, 2022. "How to identify the different phases of stock market bubbles statistically?," Finance Research Letters, Elsevier, vol. 46(PA).
    4. 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.
    5. Astill, Sam & Taylor, A.M. Robert & Kellard, Neil & Korkos, Ioannis, 2023. "Using covariates to improve the efficacy of univariate bubble detection methods," Journal of Empirical Finance, Elsevier, vol. 70(C), pages 342-366.
    6. Andria C. Evripidou & David I. Harvey & Stephen J. Leybourne & Robert Sollis, 2022. "Testing for Co‐explosive Behaviour in Financial Time Series," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(3), pages 624-650, June.
    7. Kruse, Robinson & Kaufmann, Hendrik & Wegener, Christoph, 2018. "Bias-corrected estimation for speculative bubbles in stock prices," Economic Modelling, Elsevier, vol. 73(C), pages 354-364.
    8. Emily J. Whitehouse & David I. Harvey & Stephen J. Leybourne, 2023. "Real‐Time Monitoring of Bubbles and Crashes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(3), pages 482-513, June.
    9. Sam Astill & David I. Harvey & Stephen J. Leybourne & Robert Sollis & A. M. Robert Taylor, 2018. "Real‐Time Monitoring for Explosive Financial Bubbles," Journal of Time Series Analysis, Wiley Blackwell, vol. 39(6), pages 863-891, November.
    10. Eiji Kurozumi & Anton Skrobotov, 2023. "On the asymptotic behavior of bubble date estimators," Journal of Time Series Analysis, Wiley Blackwell, vol. 44(4), pages 359-373, July.
    11. Skrobotov Anton, 2023. "Testing for explosive bubbles: a review," Dependence Modeling, De Gruyter, vol. 11(1), pages 1-26, January.
    12. Sam Astill & David I. Harvey & Stephen J. Leybourne & A. M. Robert Taylor, 2017. "Tests for an end-of-sample bubble in financial time series," Econometric Reviews, Taylor & Francis Journals, vol. 36(6-9), pages 651-666, October.
    13. Potrykus, Marcin, 2023. "Investing in wine, precious metals and G-7 stock markets – A co-occurrence analysis for price bubbles," International Review of Financial Analysis, Elsevier, vol. 87(C).
    14. 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.
    15. Pang, Tianxiao & Tai-Leung Chong, Terence & Zhang, Danna & Liang, Yanling, 2018. "Structural Change In Nonstationary Ar(1) Models," Econometric Theory, Cambridge University Press, vol. 34(5), pages 985-1017, October.
    16. David I. Harvey & Stephen J. Leybourne & Yang Zu, 2019. "Testing explosive bubbles with time-varying volatility," Econometric Reviews, Taylor & Francis Journals, vol. 38(10), pages 1131-1151, November.
    17. 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.
    18. Bellón, Carlos & Figuerola-Ferretti, Isabel, 2022. "Bubbles in Ethereum," Finance Research Letters, Elsevier, vol. 46(PB).
    19. Harvey, David I. & Leybourne, Stephen J. & Whitehouse, Emily J., 2020. "Date-stamping multiple bubble regimes," Journal of Empirical Finance, Elsevier, vol. 58(C), pages 226-246.
    20. Eiji Kurozumi & Anton Skrobotov, 2023. "Improving the accuracy of bubble date estimators under time-varying volatility," Papers 2306.02977, arXiv.org.
    21. Bouri, Elie & Shahzad, Syed Jawad Hussain & Roubaud, David, 2019. "Co-explosivity in the cryptocurrency market," Finance Research Letters, Elsevier, vol. 29(C), pages 178-183.
    22. Theodosios Perifanis, 2019. "Detecting West Texas Intermediate (WTI) Prices’ Bubble Periods," Energies, MDPI, vol. 12(14), pages 1-16, July.
    23. Eiji Kurozumi & Anton Skrobotov, 2021. "On the asymptotic behavior of bubble date estimators," Papers 2110.04500, arXiv.org, revised Sep 2022.
    24. Lajos Horv'ath & Lorenzo Trapani, 2023. "Real-time monitoring with RCA models," Papers 2312.11710, arXiv.org.

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    More about this item

    Keywords

    Rational bubble; Explosive autoregression; Regime change; Break date estimation;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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