IDEAS home Printed from https://ideas.repec.org/a/eee/finana/v94y2024ics1057521924002515.html
   My bibliography  Save this article

Stock market prices and Dividends in the US: Bubbles or Long-run equilibria relationships?

Author

Listed:
  • Dettoni, Robinson
  • Gil-Alana, Luis A.
  • Yaya, OlaOluwa S.

Abstract

This paper presents a novel approach to identifying potential bubbles in the US stock market by employing alternative time series methods based on long memory, including fractional integration and cointegration, as well as duration dependence non-parametric models. To test for duration dependence, the paper employs a unique non-parametric hazard function estimation method, using monotonic P-splines, which enables the estimation of a coherent and sophisticated Bayesian confidence interval for the function. By analyzing historical data of real US stock index from January 1871 to November 2022, the results reveal strong evidence of bubbles in the US stock market. It is worth noting that this is the first time a fractional integration approach and a novel non-parametric hazard function have been utilized to test for rational speculative bubbles in the US stock market, making this paper a significant contribution to the field.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:finana:v:94:y:2024:i:c:s1057521924002515
    DOI: 10.1016/j.irfa.2024.103319
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1057521924002515
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.irfa.2024.103319?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. Gil-Alana, Luis Alberiko & Dettoni, Robinson & Costamagna, Rodrigo & Valenzuela, Mario, 2019. "Rational bubbles in the real housing stock market: Empirical evidence from Santiago de Chile," Research in International Business and Finance, Elsevier, vol. 49(C), pages 269-281.
    2. Lise Clain-Chamoset-Yvrard & Xavier Raurich & Thomas Seegmuller, 2024. "Rational housing demand bubble," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(3), pages 699-746, May.
    3. Rappoport, Peter & White, Eugene N, 1994. "Was the Crash of 1929 Expected?," American Economic Review, American Economic Association, vol. 84(1), pages 271-281, March.
    4. Robinson, Peter M. & Yajima, Yoshihiro, 2002. "Determination of cointegrating rank in fractional systems," Journal of Econometrics, Elsevier, vol. 106(2), pages 217-241, February.
    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. Diba, Behzad T. & Grossman, Herschel I., 1988. "Rational inflationary bubbles," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 35-46, January.
    7. Sichel, Daniel E, 1991. "Business Cycle Duration Dependence: A Parametric Approach," The Review of Economics and Statistics, MIT Press, vol. 73(2), pages 254-260, May.
    8. Fama, Eugene F & French, Kenneth R, 1988. "Permanent and Temporary Components of Stock Prices," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 246-273, April.
    9. van Eyden, Reneé & Gupta, Rangan & Nielsen, Joshua & Bouri, Elie, 2023. "Investor sentiment and multi-scale positive and negative stock market bubbles in a panel of G7 countries," Journal of Behavioral and Experimental Finance, Elsevier, vol. 38(C).
    10. Meese, Richard A, 1986. "Testing for Bubbles in Exchange Markets: A Case of Sparkling Rates?," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 345-373, April.
    11. 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.
    12. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    13. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    14. 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.
    15. Gupta, Rangan & Nel, Jacobus & Nielsen, Joshua, 2023. "US monetary policy and BRICS stock market bubbles," Finance Research Letters, Elsevier, vol. 51(C).
    16. Marra, Giampiero & Farcomeni, Alessio & Radice, Rosalba, 2021. "Link-based survival additive models under mixed censoring to assess risks of hospital-acquired infections," Computational Statistics & Data Analysis, Elsevier, vol. 155(C).
    17. Boubaker, Sabri & Liu, Zhenya & Sui, Tianqing & Zhai, Ling, 2022. "The mirror of history: How to statistically identify stock market bubble bursts," Journal of Economic Behavior & Organization, Elsevier, vol. 204(C), pages 128-147.
    18. 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).
    19. Shiller, Robert J., 1978. "Rational expectations and the dynamic structure of macroeconomic models : A critical review," Journal of Monetary Economics, Elsevier, vol. 4(1), pages 1-44, January.
    20. Summers, Lawrence H, 1986. "Does the Stock Market Rationally Reflect Fundamental Values?," Journal of Finance, American Finance Association, vol. 41(3), pages 591-601, July.
    21. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    22. Yang, Bingduo & Long, Wei & Yang, Zihui, 2022. "Testing predictability of stock returns under possible bubbles," Journal of Empirical Finance, Elsevier, vol. 68(C), pages 246-260.
    23. White, Eugene N, 1990. "The Stock Market Boom and Crash of 1929 Revisited," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 67-83, Spring.
    24. Giampiero Marra & Rosalba Radice, 2020. "Copula Link-Based Additive Models for Right-Censored Event Time Data," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 115(530), pages 886-895, April.
    25. 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.
    26. 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.
    27. Kenneth D. West, 1987. "A Specification Test for Speculative Bubbles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(3), pages 553-580.
    28. Diebold, Francis X & Rudebusch, Glenn D, 1990. "A Nonparametric Investigation of Duration Dependence in the American Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 596-616, June.
    29. Christensen, Bent Jesper & Nielsen, Morten Orregaard, 2006. "Asymptotic normality of narrow-band least squares in the stationary fractional cointegration model and volatility forecasting," Journal of Econometrics, Elsevier, vol. 133(1), pages 343-371, July.
    30. 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.
    31. David M. Cutler & James M. Poterba & Lawrence H. Summers, 1991. "Speculative Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 529-546.
    32. Robert J. Shiller, 2015. "Irrational Exuberance," Economics Books, Princeton University Press, edition 3, number 10421.
    33. Giampiero Marra & Rosalba Radice & Till Bärnighausen & Simon N. Wood & Mark E. McGovern, 2017. "A Simultaneous Equation Approach to Estimating HIV Prevalence With Nonignorable Missing Responses," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 484-496, April.
    34. Chen, An-Sing & Cheng, Lee-Young & Cheng, Kuang-Fu, 2009. "Intrinsic bubbles and Granger causality in the S&P 500: Evidence from long-term data," Journal of Banking & Finance, Elsevier, vol. 33(12), pages 2275-2281, December.
    35. Olivier J. Blanchard & Mark W. Watson, 1982. "Bubbles, Rational Expectations and Financial Markets," NBER Working Papers 0945, National Bureau of Economic Research, Inc.
    36. Tauchen, George E & Pitts, Mark, 1983. "The Price Variability-Volume Relationship on Speculative Markets," Econometrica, Econometric Society, vol. 51(2), pages 485-505, March.
    37. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-530, June.
    38. Phillips, Peter C.B. & Shi, Shu-Ping, 2018. "Financial Bubble Implosion And Reverse Regression," Econometric Theory, Cambridge University Press, vol. 34(4), pages 705-753, August.
    39. Camerer, Colin, 1989. "Bubbles and Fads in Asset Prices," Journal of Economic Surveys, Wiley Blackwell, vol. 3(1), pages 3-41.
    40. Nguyen, Quynh Nhu & Waters, George A., 2022. "Detecting periodically collapsing bubbles in the S&P 500," The Quarterly Review of Economics and Finance, Elsevier, vol. 83(C), pages 83-91.
    41. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    42. 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.
    43. van Norden, Simon, 1996. "Regime Switching as a Test for Exchange Rate Bubbles," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 219-251, May-June.
    44. Dezhbakhsh, Hashem & Demirguc-Kunt, Asli, 1990. "On the Presence of Speculative Bubbles in Stock Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(1), pages 101-112, March.
    45. Behzad T. Diba & Herschel I. Grossman, 1987. "On the Inception of Rational Bubbles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(3), pages 697-700.
    46. Zuehlke, Thomas W, 2003. "Business Cycle Duration Dependence Reconsidered," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(4), pages 564-569, October.
    47. 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.
    48. Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
    49. Hualde, Javier, 2013. "A simple test for the equality of integration orders," Economics Letters, Elsevier, vol. 119(3), pages 233-237.
    50. Beaudry, Paul & Portier, Franck, 2019. "Duration dependence in US expansions: A re-examination of the evidence," Economics Letters, Elsevier, vol. 183(C), pages 1-1.
    51. Flood, Robert P & Garber, Peter M, 1980. "Market Fundamentals versus Price-Level Bubbles: The First Tests," Journal of Political Economy, University of Chicago Press, vol. 88(4), pages 745-770, August.
    52. Qin, Meng & Mirza, Nawazish & Su, Chi-Wei & Umar, Muhammad, 2023. "Exploring Bubbles in the Digital Economy: The Case of China," Global Finance Journal, Elsevier, vol. 57(C).
    53. Wang, Jiaxin & Zhu, Zhaowei & Huang, Xiang, 2023. "Stock bubbles under sudden public crises: A perspective from the excessive financialization of firms," Finance Research Letters, Elsevier, vol. 57(C).
    54. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
    55. Evans, George W, 1986. "A Test for Speculative Bubbles in the Sterling-Dollar Exchange Rate: 1981-84," American Economic Review, American Economic Association, vol. 76(4), pages 621-636, September.
    Full references (including those not matched with items on IDEAS)

    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. 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).
    2. 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.
    3. 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.
    4. 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.
    5. Robert P. Flood & Robert J. Hodrick, 1989. "Testable Implications of Indeterminacies in Models with Rational Expectations," NBER Working Papers 2903, National Bureau of Economic Research, Inc.
    6. repec:zbw:bofism:2012_047 is not listed on IDEAS
    7. Yuchao Fan, 2022. "Dissecting the dot-com bubble in the 1990s NASDAQ," Papers 2206.14130, arXiv.org, revised Jul 2022.
    8. Ahmad, Mahyudin, 2012. "Duration dependence test for rational speculative bubble: the strength and weakness," MPRA Paper 42156, University Library of Munich, Germany.
    9. Taipalus, Katja, 2012. "Detecting asset price bubbles with time-series methods," Scientific Monographs, Bank of Finland, number 2012_047.
    10. 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.
    11. Taipalus, Katja, 2006. "Bubbles in the Finnish and US equities markets," Scientific Monographs, Bank of Finland, number 35/2006.
    12. repec:zbw:bofism:2006_035 is not listed on IDEAS
    13. 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.
    14. Saumitra N. Bhaduri, 2014. "Applying Approximate Entropy (ApEn) to Speculative Bubble in the Stock Market," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 13(1), pages 43-68, April.
    15. Robert A. Jarrow, 2015. "Asset Price Bubbles," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 201-218, December.
    16. Dmitry Kulikov, 2012. "Testing for Rational Speculative Bubbles on the Estonian Stock Market," Research in Economics and Business: Central and Eastern Europe, Tallinn School of Economics and Business Administration, Tallinn University of Technology, vol. 4(1).
    17. 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.
    18. 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.
    19. Stéphane Goutte & David Guerreiro & Bilel Sanhaji & Sophie Saglio & Julien Chevallier, 2019. "International Financial Markets," Post-Print halshs-02183053, HAL.
    20. Xie, Zixiong & Chen, Shyh-Wei, 2015. "Are there periodically collapsing bubbles in the REIT markets? New evidence from the US," Research in International Business and Finance, Elsevier, vol. 33(C), pages 17-31.
    21. Enrique Sentana, 1993. "The econometrics of the stock market I: rationality tests," Investigaciones Economicas, Fundación SEPI, vol. 17(3), pages 401-420, September.
    22. Chris Brooks & Apostolos Katsaris, 2003. "Rational Speculative Bubbles: An Empirical Investigation of the London Stock Exchange," Bulletin of Economic Research, Wiley Blackwell, vol. 55(4), pages 319-346, October.

    More about this item

    Keywords

    Stock market prices; Dividends; Fractional cointegration; Duration dependence models;
    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
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

    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:eee:finana:v:94:y:2024:i:c:s1057521924002515. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/620166 .

    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.