IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v127y2021ics0165188921000361.html
   My bibliography  Save this article

Speculative bubbles in present-value models: A Bayesian Markov-switching state space approach

Author

Listed:
  • Chan, Joshua C.C.
  • Santi, Caterina

Abstract

We estimate the dynamics of a speculative bubble subject to a surviving and a collapsing regime together with the dynamics of dividends and returns in a tractable state space specification of the present-value model. To estimate this new high-dimensional model, we develop an efficient Markov chain Monte Carlo sampler to simulate from the joint posterior distribution. We find that real-world stock price bubbles show significant Markov-switching structure. Further, the results indicate that dividend growth rates are highly predictable. Finally, we find that bubble variation explains a large share of the variation in the price-dividend ratio and unexpected return.

Suggested Citation

  • Chan, Joshua C.C. & Santi, Caterina, 2021. "Speculative bubbles in present-value models: A Bayesian Markov-switching state space approach," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
  • Handle: RePEc:eee:dyncon:v:127:y:2021:i:c:s0165188921000361
    DOI: 10.1016/j.jedc.2021.104101
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188921000361
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jedc.2021.104101?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. Asako, Yasushi & Funaki, Yukihiko & Ueda, Kozo & Uto, Nobuyuki, 2020. "(A)symmetric information bubbles: Experimental evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 110(C).
    2. Wu, Yangru, 1997. "Rational Bubbles in the Stock Market: Accounting for the U.S. Stock-Price Volatility," Economic Inquiry, Western Economic Association International, vol. 35(2), pages 309-319, April.
    3. Kwang Hun Choi & Chang‐Jin Kim & Cheolbeom Park, 2017. "Regime Shifts in Price‐Dividend Ratios and Expected Stock Returns: A Present‐Value Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(2-3), pages 417-441, March.
    4. 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.
    5. 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.
    6. Cerqueti, Roy & Costantini, Mauro, 2011. "Testing for rational bubbles in the presence of structural breaks: Evidence from nonstationary panels," Journal of Banking & Finance, Elsevier, vol. 35(10), pages 2598-2605, October.
    7. McCausland, William J. & Miller, Shirley & Pelletier, Denis, 2011. "Simulation smoothing for state-space models: A computational efficiency analysis," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 199-212, January.
    8. Chris Brooks & Apostolos Katsaris, 2005. "A Three-Regime Model of Speculative Behaviour: Modelling the Evolution of the S&P 500 Composite Index," Economic Journal, Royal Economic Society, vol. 115(505), pages 767-797, July.
    9. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
    10. 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.
    11. Wayne E. Ferson & Sergei Sarkissian & Timothy T. Simin, 2003. "Spurious Regressions in Financial Economics?," Journal of Finance, American Finance Association, vol. 58(4), pages 1393-1413, August.
    12. Andras Fulop & Jun Yu, 2017. "Bayesian Analysis of Bubbles in Asset Prices," Econometrics, MDPI, vol. 5(4), pages 1-23, October.
    13. Driffill, John & Sola, Martin, 1998. "Intrinsic bubbles and regime-switching," Journal of Monetary Economics, Elsevier, vol. 42(2), pages 357-373, July.
    14. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    15. Lammerding, Marc & Stephan, Patrick & Trede, Mark & Wilfling, Bernd, 2013. "Speculative bubbles in recent oil price dynamics: Evidence from a Bayesian Markov-switching state-space approach," Energy Economics, Elsevier, vol. 36(C), pages 491-502.
    16. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
    17. JULES H. Van BINSBERGEN & RALPH S. J. KOIJEN, 2010. "Predictive Regressions: A Present‐Value Approach," Journal of Finance, American Finance Association, vol. 65(4), pages 1439-1471, August.
    18. Ľuboš Pástor & Robert F. Stambaugh, 2009. "Predictive Systems: Living with Imperfect Predictors," Journal of Finance, American Finance Association, vol. 64(4), pages 1583-1628, August.
    19. 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.
    20. 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.
    21. Bohl, Martin T. & Siklos, Pierre L., 2004. "The present value model of U.S. stock prices redux: a new testing strategy and some evidence," The Quarterly Review of Economics and Finance, Elsevier, vol. 44(2), pages 208-223, May.
    22. Wayne E. Ferson & Sergei Sarkissian & Timothy T. Simin, 2003. "Spurious Regressions in Financial Economics?," Journal of Finance, American Finance Association, vol. 58(4), pages 1393-1414, August.
    23. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    24. Al-Anaswah, Nael & Wilfling, Bernd, 2011. "Identification of speculative bubbles using state-space models with Markov-switching," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1073-1086, May.
    25. Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-930, September.
    26. Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
    27. Bohl, Martin T., 2003. "Periodically collapsing bubbles in the US stock market?," International Review of Economics & Finance, Elsevier, vol. 12(3), pages 385-397.
    28. 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.
    29. Zheng, Huanhuan, 2020. "Coordinated bubbles and crashes," Journal of Economic Dynamics and Control, Elsevier, vol. 120(C).
    30. C. Wei Li & Hui Xue, 2009. "A Bayesian's Bubble," Journal of Finance, American Finance Association, vol. 64(6), pages 2665-2701, December.
    31. Chan, Joshua C.C., 2013. "Moving average stochastic volatility models with application to inflation forecast," Journal of Econometrics, Elsevier, vol. 176(2), pages 162-172.
    32. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1999. "Detecting Periodically Collapsing Bubbles: A Markov-Switching Unit Root Test," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(2), pages 143-154, March-Apr.
    33. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Intrinsic Bubbles: The Case of Stock Prices," American Economic Review, American Economic Association, vol. 81(5), pages 1189-1214, December.
    34. McMillan, David G., 2007. "Bubbles in the dividend-price ratio? Evidence from an asymmetric exponential smooth-transition model," Journal of Banking & Finance, Elsevier, vol. 31(3), pages 787-804, March.
    35. Shu-Ping Shi, 2013. "Specification sensitivities in the Markov-switching unit root test for bubbles," Empirical Economics, Springer, vol. 45(2), pages 697-713, October.
    36. Jiang, Xiaoquan & Lee, Bong-Soo, 2007. "Stock returns, dividend yield, and book-to-market ratio," Journal of Banking & Finance, Elsevier, vol. 31(2), pages 455-475, February.
    37. Chen, Shyh-Wei & Hsu, Chi-Sheng & Xie, Zixong, 2016. "Are there periodically collapsing bubbles in the stock markets? New international evidence," Economic Modelling, Elsevier, vol. 52(PB), pages 442-451.
    38. Chib, Siddhartha, 1996. "Calculating posterior distributions and modal estimates in Markov mixture models," Journal of Econometrics, Elsevier, vol. 75(1), pages 79-97, November.
    39. Goodwin, Thomas H, 1993. "Business-Cycle Analysis with a Markov-Switching Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 331-339, July.
    40. Chang-Jin Kim & Charles R. Nelson, 1999. "State-Space Models with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262112388, December.
    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. Chen, Shyh-Wei & Hsu, Chi-Sheng & Xie, Zixong, 2016. "Are there periodically collapsing bubbles in the stock markets? New international evidence," Economic Modelling, Elsevier, vol. 52(PB), pages 442-451.
    2. Stéphane Goutte & David Guerreiro & Bilel Sanhaji & Sophie Saglio & Julien Chevallier, 2019. "International Financial Markets," Post-Print halshs-02183053, HAL.
    3. 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.
    4. 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.
    5. Al-Anaswah, Nael & Wilfling, Bernd, 2011. "Identification of speculative bubbles using state-space models with Markov-switching," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1073-1086, May.
    6. 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.
    7. Xie, Zixiong & Chen, Shyh-Wei & Wu, An-Chi, 2019. "Asymmetric adjustment, non-linearity and housing price bubbles: New international evidence," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    8. repec:zbw:bofism:2006_035 is not listed on IDEAS
    9. Taipalus, Katja, 2012. "Detecting asset price bubbles with time-series methods," Scientific Monographs, Bank of Finland, number 2012_047.
    10. 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.
    11. Taipalus, Katja, 2006. "Bubbles in the Finnish and US equities markets," Scientific Monographs, Bank of Finland, number 35/2006.
    12. repec:zbw:bofism:2012_047 is not listed on IDEAS
    13. Balcombe, Kelvin & Fraser, Iain, 2017. "Do bubbles have an explosive signature in markov switching models?," Economic Modelling, Elsevier, vol. 66(C), pages 81-100.
    14. Yuchao Fan, 2022. "Dissecting the dot-com bubble in the 1990s NASDAQ," Papers 2206.14130, arXiv.org, revised Jul 2022.
    15. Taipalus, Katja, 2012. "Detecting asset price bubbles with time-series methods," Bank of Finland Scientific Monographs, Bank of Finland, volume 0, number sm2012_047.
    16. 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.
    17. John Knight & Stephen Satchell & Nandini Srivastava, 2012. "Steady-State Distributions for Models of Bubbles: their Existence and Econometric Implications," Birkbeck Working Papers in Economics and Finance 1208, Birkbeck, Department of Economics, Mathematics & Statistics.
    18. 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.
    19. Londono, Juan M. & Regúlez, Marta & Vázquez, Jesús, 2015. "An alternative view of the US price–dividend ratio dynamics," International Review of Economics & Finance, Elsevier, vol. 38(C), pages 291-307.
    20. Benedikt Rotermann & Bernd Wilfling, 2015. "Estimating rational stock-market bubbles with sequential Monte Carlo methods," CQE Working Papers 4015, Center for Quantitative Economics (CQE), University of Muenster.
    21. Gutierrez, Luciano, 2011. "Bootstrapping asset price bubbles," Economic Modelling, Elsevier, vol. 28(6), pages 2488-2493.
    22. Su, Chi-Wei & Li, Zheng-Zheng & Chang, Hsu-Ling & Lobonţ, Oana-Ramona, 2017. "When Will Occur the Crude Oil Bubbles?," Energy Policy, Elsevier, vol. 102(C), pages 1-6.

    More about this item

    Keywords

    Rational bubbles; Present-value model; Markov-switching model; State space model; Bayesian analysis;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    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:dyncon:v:127:y:2021:i:c:s0165188921000361. 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/jedc .

    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.