IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-04454682.html
   My bibliography  Save this paper

The Mirror of History: How to Statistically Identify Stock Market Bubble Bursts

Author

Listed:
  • S. Boubaker

    (Métis Lab EM Normandie - EM Normandie - École de Management de Normandie, VNU - Vietnam National University [Hanoï], Swansea University)

  • Zhenya Liu

    (Renmin University of China = Université Renmin de Chine, CERGAM - Centre d'Études et de Recherche en Gestion d'Aix-Marseille - AMU - Aix Marseille Université - UTLN - Université de Toulon)

  • Tianqing Sui

    (Renmin University of China = Université Renmin de Chine)

  • L. Zhai

    (Renmin University of China = Université Renmin de Chine)

Abstract

This paper proposes a method for detecting bubble phases and the timing of bursts in global stock markets. The study identifies 27 bubbles in 29 global stock market indices over the last century. Using transformations and change-point detection on index returns, we discover that every major bubble has the same two-phase pattern indeed. Although the mechanisms or causes of each bubble are complex and unique, they all follow the same pattern. Thus, our findings suggest that history has a tendency to repeat itself. © 2022 Elsevier B.V.

Suggested Citation

  • S. Boubaker & Zhenya Liu & Tianqing Sui & L. Zhai, 2022. "The Mirror of History: How to Statistically Identify Stock Market Bubble Bursts," Post-Print hal-04454682, HAL.
    • Handle: RePEc:hal:journl:hal-04454682
    DOI: 10.1016/j.jebo.2022.09.024
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Peter C. B. Phillips & Shuping Shi & Jun Yu, 2015. "Testing For Multiple Bubbles: Historical Episodes Of Exuberance And Collapse In The S&P 500," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(4), pages 1043-1078, November.
    2. Peter C. B. Phillips & Yangru Wu & Jun Yu, 2011. "EXPLOSIVE BEHAVIOR IN THE 1990s NASDAQ: WHEN DID EXUBERANCE ESCALATE ASSET VALUES?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 201-226, February.
    3. Horváth, Lajos & Liu, Zhenya & Lu, Shanglin, 2022. "Sequential Monitoring Of Changes In Dynamic Linear Models, Applied To The U.S. Housing Market," Econometric Theory, Cambridge University Press, vol. 38(2), pages 209-272, April.
    4. Berkes, István & Horváth, Lajos, 2012. "The central limit theorem for sums of trimmed variables with heavy tails," Stochastic Processes and their Applications, Elsevier, vol. 122(2), pages 449-465.
    5. Broer, Tobias, 2018. "Securitization bubbles: Structured finance with disagreement about default risk," Journal of Financial Economics, Elsevier, vol. 127(3), pages 505-518.
    6. Brian H. Boyer & Tomomi Kumagai & Kathy Yuan, 2006. "How Do Crises Spread? Evidence from Accessible and Inaccessible Stock Indices," Journal of Finance, American Finance Association, vol. 61(2), pages 957-1003, April.
    7. Alexander Aue & Lajos Horváth, 2013. "Structural breaks in time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(1), pages 1-16, January.
    8. Hüsler, A. & Sornette, D. & Hommes, C.H., 2013. "Super-exponential bubbles in lab experiments: Evidence for anchoring over-optimistic expectations on price," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 304-316.
    9. Sébastien Lleo & William T. Ziemba, 2013. "Stock Market Crashes In 2007–2009: Were We Able To Predict Them?," World Scientific Book Chapters, in: Oliviero Roggi & Edward I Altman (ed.), Managing and Measuring Risk Emerging Global Standards and Regulations After the Financial Crisis, chapter 13, pages 457-499, World Scientific Publishing Co. Pte. Ltd..
    10. Almeida, Heitor & Campello, Murillo & Laranjeira, Bruno & Weisbenner, Scott, 2012. "Corporate Debt Maturity and the Real Effects of the 2007 Credit Crisis," Critical Finance Review, now publishers, vol. 1(1), pages 3-58, January.
    11. Peter C. B. Phillips & Shuping Shi & Jun Yu, 2015. "Testing For Multiple Bubbles: Historical Episodes Of Exuberance And Collapse In The S&P 500," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 1043-1078, November.
    12. Daniel Andrei & Michael Hasler, 2015. "Investor Attention and Stock Market Volatility," The Review of Financial Studies, Society for Financial Studies, vol. 28(1), pages 33-72.
    13. Philippas, Dionisis & Siriopoulos, Costas, 2013. "Putting the “C” into crisis: Contagion, correlations and copulas on EMU bond markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 27(C), pages 161-176.
    14. Barberis, Nicholas & Greenwood, Robin & Jin, Lawrence & Shleifer, Andrei, 2018. "Extrapolation and bubbles," Journal of Financial Economics, Elsevier, vol. 129(2), pages 203-227.
    15. Zhou, Wei-Xing & Sornette, Didier, 2006. "Is there a real-estate bubble in the US?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 297-308.
    16. Zheng, Huanhuan, 2020. "Coordinated bubbles and crashes," Journal of Economic Dynamics and Control, Elsevier, vol. 120(C).
    17. Boubaker, Sabri & Liu, Zhenya & Zhai, Ling, 2021. "Big data, news diversity and financial market crash," Technological Forecasting and Social Change, Elsevier, vol. 168(C).
    18. Dimitriou, Dimitrios & Kenourgios, Dimitris & Simos, Theodore, 2013. "Global financial crisis and emerging stock market contagion: A multivariate FIAPARCH–DCC approach," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 46-56.
    19. Westphal, Rebecca & Sornette, Didier, 2020. "Market impact and performance of arbitrageurs of financial bubbles in an agent-based model," Journal of Economic Behavior & Organization, Elsevier, vol. 171(C), pages 1-23.
    20. Jeremy J. Siegel, 2003. "What Is an Asset Price Bubble? An Operational Definition," European Financial Management, European Financial Management Association, vol. 9(1), pages 11-24, March.
    21. Yongheng Deng & Eric Girardin & Roselyne Joyeux & Shuping Shi, 2017. "Did bubbles migrate from the stock to the housing market in China between 2005 and 2010?," Pacific Economic Review, Wiley Blackwell, vol. 22(3), pages 276-292, August.
    22. Baur, Dirk G., 2012. "Financial contagion and the real economy," Journal of Banking & Finance, Elsevier, vol. 36(10), pages 2680-2692.
    23. Malmendier, Ulrike & Pouzo, Demian & Vanasco, Victoria, 2020. "Investor experiences and financial market dynamics," Journal of Financial Economics, Elsevier, vol. 136(3), pages 597-622.
    24. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    25. Enoksen, F.A. & Landsnes, Ch.J. & Lučivjanská, K. & Molnár, P., 2020. "Understanding risk of bubbles in cryptocurrencies," Journal of Economic Behavior & Organization, Elsevier, vol. 176(C), pages 129-144.
    26. Peter C. B. Phillips, 1998. "New Tools for Understanding Spurious Regressions," Econometrica, Econometric Society, vol. 66(6), pages 1299-1326, November.
    27. Karl E. Case & Robert J. Shiller, 2003. "Is There a Bubble in the Housing Market?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(2), pages 299-362.
    28. Eugene F. Fama, 2014. "Two Pillars of Asset Pricing," American Economic Review, American Economic Association, vol. 104(6), pages 1467-1485, June.
    29. Woo, Wing Thye, 1987. "Some Evidence of Speculative Bubbles in the Foreign Exchange Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 19(4), pages 499-514, November.
    30. Neumeyer, Natalie & Noh, Hohsuk & Van Keilegom, Ingrid, 2014. "Heteroscedastic semiparametric transformation models: estimation and testing for validity," LIDAM Discussion Papers ISBA 2014047, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    31. Boubaker, S. & Liu, Z. & Zhai, L., 2021. "Big data, news diversity and financial market crash," Post-Print hal-03323671, HAL.
    32. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(2), pages 323-336.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Bo & Liu, Zhenya & Teka, Hanen & Wang, Shixuan, 2023. "The evolvement of momentum effects in China: Evidence from functional data analysis," Research in International Business and Finance, Elsevier, vol. 64(C).
    2. Muhammad Ramzan & Mohammad Razib Hossain & Kashif Raza Abbasi & Tomiwa Sunday Adebayo & Rafael Alvarado, 2024. "Unveiling time-varying asymmetries in the stock market returns through energy prices, green innovation, and market risk factors: wavelet-based evidence from China," Economic Change and Restructuring, Springer, vol. 57(3), pages 1-36, June.
    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).
    4. Dettoni, Robinson & Gil-Alana, Luis Alberiko, 2023. "Testing the hypothesis of duration dependence in the U.S. housing market," Finance Research Letters, Elsevier, vol. 58(PD).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Assaf, Ata & Demir, Ender & Ersan, Oguz, 2024. "Detecting and date-stamping bubbles in fan tokens," International Review of Economics & Finance, Elsevier, vol. 92(C), pages 98-113.
    2. Bordalo, Pedro & Gennaioli, Nicola & Kwon, Spencer Yongwook & Shleifer, Andrei, 2021. "Diagnostic bubbles," Journal of Financial Economics, Elsevier, vol. 141(3), pages 1060-1077.
    3. ÅžimÅŸek, Alp, 2021. "The Macroeconomics of Financial Speculation," CEPR Discussion Papers 15733, C.E.P.R. Discussion Papers.
    4. Frank J. Fabozzi & Iason Kynigakis & Ekaterini Panopoulou & Radu S. Tunaru, 2020. "Detecting Bubbles in the US and UK Real Estate Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 60(4), pages 469-513, May.
    5. Jean-Louis Bago & Koffi Akakpo & Imad Rherrad & Ernest Ouédraogo, 2021. "Volatility Spillover and International Contagion of Housing Bubbles," JRFM, MDPI, vol. 14(7), pages 1-14, June.
    6. Efthymios Pavlidis & Alisa Yusupova & Ivan Paya & David Peel & Enrique Martínez-García & Adrienne Mack & Valerie Grossman, 2016. "Episodes of Exuberance in Housing Markets: In Search of the Smoking Gun," The Journal of Real Estate Finance and Economics, Springer, vol. 53(4), pages 419-449, November.
    7. Robert F. Bruner & Scott C. Miller, 2019. "The Great Crash of 1929: A Look Back After 90 Years," Journal of Applied Corporate Finance, Morgan Stanley, vol. 31(4), pages 43-58, December.
    8. Yang, Hui & Ferrer, Román, 2023. "Explosive behavior in the Chinese stock market: A sectoral analysis," Pacific-Basin Finance Journal, Elsevier, vol. 81(C).
    9. Basse, Tobias & Karmani, Majdi & Rjiba, Hatem & Wegener, Christoph, 2023. "Does adhering to the principles of green finance matter for stock valuation? Evidence from testing for (co-)explosiveness," Energy Economics, Elsevier, vol. 123(C).
    10. Dimitris Kenourgios & Dimitrios Dimitriou, 2014. "Contagion Effects of the Global Financial Crisis in US and European Real Economy Sectors," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 61(3), pages 275-288, June.
    11. Wang, Xiao-Qing & Qin, Meng & Moldovan, Nicoleta-Claudia & Su, Chi-Wei, 2023. "Bubble behaviors in lithium price and the contagion effect: An industry chain perspective," Resources Policy, Elsevier, vol. 83(C).
    12. Hansen, Jacob H. & Møller, Stig V. & Pedersen, Thomas Q. & Schütte, Christian M., 2024. "House price bubbles under the COVID-19 pandemic," Journal of Empirical Finance, Elsevier, vol. 75(C).
    13. Haddad, Valentin & Ho, Paul & Loualiche, Erik, 2022. "Bubbles and the value of innovation," Journal of Financial Economics, Elsevier, vol. 145(1), pages 69-84.
    14. Chang, Chiu-Lan, 2024. "Extreme events, economic uncertainty and speculation on occurrences of price bubbles in crude oil futures," Energy Economics, Elsevier, vol. 130(C).
    15. Wang, Xiao-Qing & Wu, Tong & Zhong, Huaming & Su, Chi-Wei, 2023. "Bubble behaviors in nickel price: What roles do geopolitical risk and speculation play?," Resources Policy, Elsevier, vol. 83(C).
    16. Janusz Sobieraj & Dominik Metelski, 2021. "Testing Housing Markets for Episodes of Exuberance: Evidence from Different Polish Cities," JRFM, MDPI, vol. 14(9), pages 1-29, September.
    17. Kenourgios, Dimitris & Asteriou, Dimitrios & Samitas, Aristeidis, 2013. "Testing for asymmetric financial contagion: New evidence from the Asian crisis," The Journal of Economic Asymmetries, Elsevier, vol. 10(2), pages 129-137.
    18. Zhuo Chen & Bo Yan & Hanwen Kang, 2023. "Price bubbles of agricultural commodities: evidence from China’s futures market," Empirical Economics, Springer, vol. 64(1), pages 195-222, January.
    19. Ozkan Haykir & Ibrahim Yagli, 2022. "Speculative bubbles and herding in cryptocurrencies," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-33, December.
    20. Li, Yi & Zhang, Wei & Urquhart, Andrew & Wang, Pengfei, 2022. "The role of media coverage in the bubble formation: Evidence from the Bitcoin market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 80(C).

    More about this item

    Keywords

    Bubble burst; Change-point detection; Stock markets; Transformation method;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • G01 - Financial Economics - - General - - - Financial Crises

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-04454682. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.