IDEAS home Printed from https://ideas.repec.org/p/pdn/ciepap/154.html
   My bibliography  Save this paper

A Model of Cycles and Bubbles under Heterogeneous Beliefs in Financial Markets

Author

Listed:
  • Carina Burs

    (Paderborn University)

Abstract

We study the effect of heterogeneous beliefs about asset prices on the long-term behavior of financial markets. Starting from the ideas of Abreu and Brunnermeier (2003), we develop a two-dimensional system of differential equations. The first dynamic variable is the asset price growth rate. The second dynamic variable is the number of investors who believe that asset prices are abnormally high. In a phase plane analysis we find both stable and unstable equilibria, depending on the spread of information and the response to other agents’ beliefs. If individuals try to increase their returns while perceiving more overpricing, these equilibria can be spirals or even approach limit cycles. Although we intend to study general price patterns, abnormally high asset prices can be caused by financial bubbles. In our model, bubbles can emerge and deflate both in cycles or directly, or they can grow until they burst. Further, we analyze market behavior after a central bank increases the interest rate. This can lead to new stable equilibria, but the emergence and bursting of bubbles cannot be prevented.

Suggested Citation

  • Carina Burs, 2023. "A Model of Cycles and Bubbles under Heterogeneous Beliefs in Financial Markets," Working Papers CIE 154, Paderborn University, CIE Center for International Economics.
    • Handle: RePEc:pdn:ciepap:154
    as

    Download full text from publisher

    File URL: http://groups.uni-paderborn.de/wp-wiwi/RePEc/pdf/ciepap/WP154.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Galati, Gabriele & Hindrayanto, Irma & Koopman, Siem Jan & Vlekke, Marente, 2016. "Measuring financial cycles in a model-based analysis: Empirical evidence for the United States and the euro area," Economics Letters, Elsevier, vol. 145(C), pages 83-87.
    2. Carmen M. Reinhart & Kenneth S. Rogoff, 2009. "The Aftermath of Financial Crises," American Economic Review, American Economic Association, vol. 99(2), pages 466-472, May.
    3. Kent Daniel & David Hirshleifer & Avanidhar Subrahmanyam, 1998. "Investor Psychology and Security Market Under- and Overreactions," Journal of Finance, American Finance Association, vol. 53(6), pages 1839-1885, December.
    4. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    5. Ashiya, Masahiro & Doi, Takero, 2001. "Herd behavior of Japanese economists," Journal of Economic Behavior & Organization, Elsevier, vol. 46(3), pages 343-346, November.
    6. 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.
    7. Robert J. Shiller, 2014. "Speculative Asset Prices," American Economic Review, American Economic Association, vol. 104(6), pages 1486-1517, June.
    8. Robert J. Shiller, 2014. "Speculative Asset Prices (Nobel Prize Lecture)," Cowles Foundation Discussion Papers 1936, Cowles Foundation for Research in Economics, Yale University.
    9. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    10. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    11. 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)

    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. ÅžimÅŸek, Alp, 2021. "The Macroeconomics of Financial Speculation," CEPR Discussion Papers 15733, C.E.P.R. Discussion Papers.
    2. John Fender, 2020. "Beyond the efficient markets hypothesis: Towards a new paradigm," Bulletin of Economic Research, Wiley Blackwell, vol. 72(3), pages 333-351, July.
    3. Ricardo J Caballero & Alp Simsek, 2020. "A Risk-Centric Model of Demand Recessions and Speculation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1493-1566.
    4. Bordalo, Pedro & Gennaioli, Nicola & Kwon, Spencer Yongwook & Shleifer, Andrei, 2021. "Diagnostic bubbles," Journal of Financial Economics, Elsevier, vol. 141(3), pages 1060-1077.
    5. Schaal, Edouard & Taschereau-Dumouchel, Mathieu, 2023. "Herding through booms and busts," Journal of Economic Theory, Elsevier, vol. 210(C).
    6. Wang, Hailong & Hu, Duni, 2021. "Heterogeneous beliefs with herding behaviors and asset pricing in two goods world," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    7. Brunnermeier, Markus K. & Oehmke, Martin, 2013. "Bubbles, Financial Crises, and Systemic Risk," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1221-1288, Elsevier.
    8. 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.
    9. Khrennikova, Polina & Patra, Sudip, 2019. "Asset trading under non-classical ambiguity and heterogeneous beliefs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 562-577.
    10. Stijn Claessens & M. Ayhan Kose, 2013. "Financial Crises: Explanations, Types and Implications," CAMA Working Papers 2013-06, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    11. Enders, Zeno & Hakenes, Hendrik Hakenes, 2014. "On the Existence and Prevention of Speculative Bubbles," Working Papers 0567, University of Heidelberg, Department of Economics.
    12. He, Xue-Zhong & Li, Kai & Santi, Caterina & Shi, Lei, 2022. "Social interaction, volatility clustering, and momentum," Journal of Economic Behavior & Organization, Elsevier, vol. 203(C), pages 125-149.
    13. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," PSE Working Papers halshs-03735680, HAL.
    14. Penasse, J.N.G. & Renneboog, L.D.R., 2014. "Bubbles and Trading Frenzies : Evidence from the Art Market," Other publications TiSEM bf0d8984-df7f-4f02-afc7-3, Tilburg University, School of Economics and Management.
    15. Barberis, Nicholas & Greenwood, Robin & Jin, Lawrence & Shleifer, Andrei, 2018. "Extrapolation and bubbles," Journal of Financial Economics, Elsevier, vol. 129(2), pages 203-227.
    16. Li Lin & Didier Sornette, 2009. "Diagnostics of Rational Expectation Financial Bubbles with Stochastic Mean-Reverting Termination Times," Papers 0911.1921, arXiv.org.
    17. Matsushima, Hitoshi, 2013. "Behavioral aspects of arbitrageurs in timing games of bubbles and crashes," Journal of Economic Theory, Elsevier, vol. 148(2), pages 858-870.
    18. Hibbert, Ann Marie & Kang, Qiang & Kumar, Alok & Mishra, Suchi, 2020. "Heterogeneous beliefs and return volatility around seasoned equity offerings," Journal of Financial Economics, Elsevier, vol. 137(2), pages 571-589.
    19. Li, Jinfang, 2022. "The sentiment pricing dynamics with short-term and long-term learning," The North American Journal of Economics and Finance, Elsevier, vol. 63(C).
    20. Feng Liu & Joseph S. White & John R. Conlon, 2023. "A Three‐State Rational Greater‐Fool Bubble Model With Intertemporal Consumption Smoothing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(4), pages 1565-1594, November.

    More about this item

    Keywords

    Financial Markets; Heterogeneous Beliefs; Asset Pricing; Financial Bubbles; Monetary Policy;
    All these keywords.

    JEL classification:

    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pdn:ciepap:154. 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: WP-WiWi-Info or the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/cipadde.html .

    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.