IDEAS home Printed from https://ideas.repec.org/a/taf/applec/v47y2015i3p255-271.html
   My bibliography  Save this article

Bubbles and the Weibull distribution: was there an explosive bubble in US stock prices before the global economic crisis?

Author

Listed:
  • Ky-Hyang Yuhn
  • Sang Bong Kim
  • Joo Ha Nam

Abstract

Existing studies on bubbles have been mainly concerned with investigating the stationarity properties of stock prices and market fundamentals. We develop a new method of testing for bubbles that relates the bubble component of stock prices to the probability of bursting in the context of the Weibull distribution. There were several eruptions and subsequent collapses of seeming bubbles over the past three decades: 1987 (Black Monday), 2000 (information technology (IT) boom) and 2007 (housing market boom). Using US monthly data for the S&P 500 and NASDAQ series, we have found that the S&P 500 series contained an explosive bubble only during the boom of the housing market that occurred before the 2007 global economic crisis, and the NASDAQ market contained an explosive bubble during the surge of stock prices peaking in 1987 and 2007, although our stationarity tests fail to detect the bubbles. No bubble was found in both the S&P and NASDAQ series during the 2000 IT boom. Our evidence corroborates the criticism that the traditional unit root and cointegration tests may not be able to detect some important class of bubbles.

Suggested Citation

  • Ky-Hyang Yuhn & Sang Bong Kim & Joo Ha Nam, 2015. "Bubbles and the Weibull distribution: was there an explosive bubble in US stock prices before the global economic crisis?," Applied Economics, Taylor & Francis Journals, vol. 47(3), pages 255-271, January.
    • Handle: RePEc:taf:applec:v:47:y:2015:i:3:p:255-271
    DOI: 10.1080/00036846.2014.969824
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00036846.2014.969824
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00036846.2014.969824?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. repec:bla:jfinan:v:53:y:1998:i:5:p:1563-1587 is not listed on IDEAS
    2. Gallegati Mauro & Greenwald Bruce & Richiardi Matteo G & Stiglitz Joseph E., 2008. "The Asymmetric Effect of Diffusion Processes: Risk Sharing and Contagion," Global Economy Journal, De Gruyter, vol. 8(3), pages 1-22, September.
    3. Diba, Behzad T. & Grossman, Herschel I., 1988. "Rational inflationary bubbles," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 35-46, January.
    4. Carmen M. Reinhart & Kenneth S. Rogoff, 2009. "Varieties of Crises and Their Dates," Introductory Chapters, in: This Time Is Different: Eight Centuries of Financial Folly, Princeton University Press.
    5. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
    6. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    7. 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.
    8. Engsted, Tom, 2006. "Explosive bubbles in the cointegrated VAR model," Finance Research Letters, Elsevier, vol. 3(2), pages 154-162, June.
    9. Jirasakuldech, Benjamas & Emekter, Riza & Rao, Ramesh P., 2008. "Do Thai stock prices deviate from fundamental values?," Pacific-Basin Finance Journal, Elsevier, vol. 16(3), pages 298-315, June.
    10. Diba, Behzad T & Grossman, Herschel I, 1988. "The Theory of Rational Bubbles in Stock Prices," Economic Journal, Royal Economic Society, vol. 98(392), pages 746-754, September.
    11. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    12. Hamilton, James D. & Whiteman, Charles H., 1985. "The observable implications of self-fulfilling expectations," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 353-373, November.
    13. Chan, Kalok & McQueen, Grant & Thorley, Steven, 1998. "Are there rational speculative bubbles in Asian stock markets?," Pacific-Basin Finance Journal, Elsevier, vol. 6(1-2), pages 125-151, May.
    14. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-574, May.
    15. Yvette Harman & Thomas Zuehlke, 2004. "Duration dependence testing for speculative bubbles," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 28(2), pages 147-154, June.
    16. Craine, Roger, 1993. "Rational bubbles : A test," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 829-846.
    17. L. Sarno & M. P. Taylor, 2003. "An empirical investigation of asset price bubbles in Latin American emerging financial markets," Applied Financial Economics, Taylor & Francis Journals, vol. 13(9), pages 635-643.
    18. Timmermann, Allan, 1995. "Cointegration Tests of Present Value Models with a Time-Varying Discount Factor," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(1), pages 17-31, Jan.-Marc.
    19. Ackert, Lucy F & Smith, Brian F, 1993. "Stock Price Volatility, Ordinary Dividends, and Other Cash Flows to Shareholders," Journal of Finance, American Finance Association, vol. 48(4), pages 1147-1160, September.
    20. McQueen, Grant & Thorley, Steven, 1994. "Bubbles, Stock Returns, and Duration Dependence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(3), pages 379-401, September.
    21. Bohl, Martin T., 2003. "Periodically collapsing bubbles in the US stock market?," International Review of Economics & Finance, Elsevier, vol. 12(3), pages 385-397.
    22. Cunado, J. & Gil-Alana, L.A. & de Gracia, F. Perez, 2005. "A test for rational bubbles in the NASDAQ stock index: A fractionally integrated approach," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2633-2654, October.
    23. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November.
    24. Flood, Robert P & Hodrick, Robert J, 1990. "On Testing for Speculative Bubbles," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 85-101, Spring.
    25. Nasseh, Alireza & Strauss, Jack, 2004. "Stock prices and the dividend discount model: did their relation break down in the 1990s?," The Quarterly Review of Economics and Finance, Elsevier, vol. 44(2), pages 191-207, May.
    26. Koustas, Zisimos & Serletis, Apostolos, 2005. "Rational bubbles or persistent deviations from market fundamentals?," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2523-2539, October.
    27. Hamilton, James D, 1986. "On Testing for Self-fulfilling Speculative Price Bubbles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(3), pages 545-552, October.
    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. Zeren Feyyaz & Yilanci Veli, 2019. "Are there Multiple Bubbles in the Stock Markets? Further Evidence from Selected Countries," Ekonomika (Economics), Sciendo, vol. 98(1), pages 81-95, June.
    2. Chuliá, Helena & Guillén, Montserrat & Uribe, Jorge M., 2017. "Measuring uncertainty in the stock market," International Review of Economics & Finance, Elsevier, vol. 48(C), pages 18-33.
    3. Velinov, Anton & Chen, Wenjuan, 2015. "Do stock prices reflect their fundamentals? New evidence in the aftermath of the financial crisis," Journal of Economics and Business, Elsevier, vol. 80(C), pages 1-20.
    4. Eryarsoy, Enes & Delen, Dursun & Davazdahemami, Behrooz & Topuz, Kazim, 2021. "A novel diffusion-based model for estimating cases, and fatalities in epidemics: The case of COVID-19," Journal of Business Research, Elsevier, vol. 124(C), pages 163-178.

    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. 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.
    2. Taipalus, Katja, 2012. "Detecting asset price bubbles with time-series methods," Scientific Monographs, Bank of Finland, number 2012_047.
    3. repec:zbw:bofism:2012_047 is not listed on IDEAS
    4. Ahmad, Mahyudin, 2012. "Duration dependence test for rational speculative bubble: the strength and weakness," MPRA Paper 42156, University Library of Munich, Germany.
    5. Taipalus, Katja, 2012. "Detecting asset price bubbles with time-series methods," Bank of Finland Scientific Monographs, Bank of Finland, volume 0, number sm2012_047, July.
    6. Michael Frömmel & Robinson Kruse, 2012. "Testing for a rational bubble under long memory," Quantitative Finance, Taylor & Francis Journals, vol. 12(11), pages 1723-1732, November.
    7. repec:zbw:bofism:2006_035 is not listed on IDEAS
    8. Taipalus, Katja, 2006. "Bubbles in the Finnish and US equities markets," Scientific Monographs, Bank of Finland, number 35/2006.
    9. 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).
    10. Jirasakuldech, Benjamas & Emekter, Riza & Rao, Ramesh P., 2008. "Do Thai stock prices deviate from fundamental values?," Pacific-Basin Finance Journal, Elsevier, vol. 16(3), pages 298-315, June.
    11. David G. McMillan, 2010. "Present Value Model, Bubbles and Returns Predictability: Sector‐Level Evidence," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 37(5‐6), pages 668-686, June.
    12. John Goddard & David Mcmillan & John Wilson, 2008. "Dividends, prices and the present value model: firm-level evidence," The European Journal of Finance, Taylor & Francis Journals, vol. 14(3), pages 195-210.
    13. Refet S. Gürkaynak, 2008. "Econometric Tests Of Asset Price Bubbles: Taking Stock," Journal of Economic Surveys, Wiley Blackwell, vol. 22(1), pages 166-186, February.
    14. Nathan S. Balke & Mark E. Wohar, 2009. "Market fundamentals versus rational bubbles in stock prices: a Bayesian perspective," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(1), pages 35-75.
    15. Qing He & Zongxin Qian & Zhe Fei & Terence Tai-Leung Chong, 2019. "Do speculative bubbles migrate in the Chinese stock market?," Empirical Economics, Springer, vol. 56(2), pages 735-754, February.
    16. Anderson, Keith & Brooks, Chris & Katsaris, Apostolos, 2010. "Speculative bubbles in the S&P 500: Was the tech bubble confined to the tech sector?," Journal of Empirical Finance, Elsevier, vol. 17(3), pages 345-361, June.
    17. Engsted, Tom, 2006. "Explosive bubbles in the cointegrated VAR model," Finance Research Letters, Elsevier, vol. 3(2), pages 154-162, June.
    18. Leone, Vitor & de Medeiros, Otavio Ribeiro, 2015. "Signalling the Dotcom bubble: A multiple changes in persistence approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 55(C), pages 77-86.
    19. Tolhurst, Tor N., 2018. "A Model-Free Bubble Detection Method: Application to the World Market for Superstar Wines," 2018 Annual Meeting, August 5-7, Washington, D.C. 274387, Agricultural and Applied Economics Association.
    20. Chen, Shyh-Wei & Xie, Zixiong, 2017. "Asymmetric adjustment and smooth breaks in dividend yields: Evidence from international stock markets," International Review of Economics & Finance, Elsevier, vol. 48(C), pages 339-354.
    21. Esteve, Vicente & Navarro-Ibáñez, Manuel & Prats, María A., 2020. "Stock prices, dividends, and structural changes in the long-term: The case of U.S," The North American Journal of Economics and Finance, Elsevier, vol. 52(C).
    22. Nawazish Mirza & Ayesha Afzal, 2012. "Some Preliminary Evidence on Stock Price Bubbles in an Emerging Market," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 15(44), pages 55-86, June.

    More about this item

    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:taf:applec:v:47:y:2015:i:3:p:255-271. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEC20 .

    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.