IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2210.13804.html
   My bibliography  Save this paper

Liquidity based modeling of asset price bubbles via random matching

Author

Listed:
  • Francesca Biagini
  • Andrea Mazzon
  • Thilo Meyer-Brandis
  • Katharina Oberpriller

Abstract

In this paper we study the evolution of asset price bubbles driven by contagion effects spreading among investors via a random matching mechanism in a discrete-time version of the liquidity based model of [25]. To this scope, we extend the Markov conditionally independent dynamic directed random matching of [13] to a stochastic setting to include stochastic exogenous factors in the model. We derive conditions guaranteeing that the financial market model is arbitrage-free and present some numerical simulation illustrating our approach.

Suggested Citation

  • Francesca Biagini & Andrea Mazzon & Thilo Meyer-Brandis & Katharina Oberpriller, 2022. "Liquidity based modeling of asset price bubbles via random matching," Papers 2210.13804, arXiv.org, revised Nov 2022.
    • Handle: RePEc:arx:papers:2210.13804
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2210.13804
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-1168, September.
    2. 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.
    3. Duffie, Darrell & Qiao, Lei & Sun, Yeneng, 2018. "Dynamic directed random matching," Journal of Economic Theory, Elsevier, vol. 174(C), pages 124-183.
    4. 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.
    5. Sun, Yeneng, 1998. "A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN1," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 419-503, May.
    6. Kaizoji, Taisei, 2000. "Speculative bubbles and crashes in stock markets: an interacting-agent model of speculative activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 493-506.
    7. Andrew Filardo, 2011. "The Impact of the International Financial Crisis on Asia and the Pacific: Highlighting Monetary Policy Challenges from a Negative Asset Price Bubble Perspective," BIS Working Papers 356, Bank for International Settlements.
    8. Robert Jarrow & Philip Protter, 2011. "Foreign currency bubbles," Review of Derivatives Research, Springer, vol. 14(1), pages 67-83, April.
    9. Alexander Cox & David Hobson, 2005. "Local martingales, bubbles and option prices," Finance and Stochastics, Springer, vol. 9(4), pages 477-492, October.
    10. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    11. Loewenstein, Mark & Willard, Gregory A., 2000. "Rational Equilibrium Asset-Pricing Bubbles in Continuous Trading Models," Journal of Economic Theory, Elsevier, vol. 91(1), pages 17-58, March.
    12. Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-896, July.
    13. Patrick Bayer & Kyle Mangum & James W. Roberts, 2021. "Speculative Fever: Investor Contagion in the Housing Bubble," American Economic Review, American Economic Association, vol. 111(2), pages 609-651, February.
    14. Robert A. Jarrow & Philip Protter & Alexandre F. Roch, 2012. "A liquidity-based model for asset price bubbles," Quantitative Finance, Taylor & Francis Journals, vol. 12(9), pages 1339-1349, August.
    15. Wan, Junmin, 2018. "Prevention and landing of bubble," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 190-204.
    16. Earl, Peter E. & Peng, Ti-Ching & Potts, Jason, 2007. "Decision-rule cascades and the dynamics of speculative bubbles," Journal of Economic Psychology, Elsevier, vol. 28(3), pages 351-364, June.
    17. Sun, Yeneng, 2006. "The exact law of large numbers via Fubini extension and characterization of insurable risks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 31-69, January.
    18. 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.
    19. Robert A. Jarrow & Philip Protter, 2009. "Forward And Futures Prices With Bubbles," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 901-924.
    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. Francesca Biagini & Andrea Mazzon & Thilo Meyer-Brandis, 2016. "Liquidity induced asset bubbles via flows of ELMMs," Papers 1611.01440, arXiv.org, revised Nov 2016.
    2. Francesca Biagini & Thomas Reitsam, 2019. "Asset Price Bubbles in market models with proportional transaction costs," Papers 1911.10149, arXiv.org, revised Dec 2020.
    3. Robert A. Jarrow, 2015. "Asset Price Bubbles," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 201-218, December.
    4. Francesca Biagini & Hans Föllmer & Sorin Nedelcu, 2014. "Shifting martingale measures and the birth of a bubble as a submartingale," Finance and Stochastics, Springer, vol. 18(2), pages 297-326, April.
    5. Kaizoji, Taisei (kaizoji@icu.ac.jp), 2010. "A Behavioral Model of Bubbles and Crashes," MPRA Paper 20352, University Library of Munich, Germany.
    6. Hugonnier, Julien & Prieto, Rodolfo, 2015. "Asset pricing with arbitrage activity," Journal of Financial Economics, Elsevier, vol. 115(2), pages 411-428.
    7. Li Lin & Didier Sornette, 2009. "Diagnostics of Rational Expectation Financial Bubbles with Stochastic Mean-Reverting Termination Times," Papers 0911.1921, arXiv.org.
    8. Arzu Uluc, 2018. "Stabilising House Prices: the Role of Housing Futures Trading," The Journal of Real Estate Finance and Economics, Springer, vol. 56(4), pages 587-621, May.
    9. 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.
    10. Utz Weitzel & Christoph Huber & Jürgen Huber & Michael Kirchler & Florian Lindner & Julia Rose & Lauren Cohen, 2020. "Bubbles and Financial Professionals [Margin, short sell, and lotteries in experimental asset markets]," The Review of Financial Studies, Society for Financial Studies, vol. 33(6), pages 2659-2696.
    11. Michael Bailey & Ruiqing Cao & Theresa Kuchler & Johannes Stroebel, 2016. "Social Networks and Housing Markets," NBER Working Papers 22258, National Bureau of Economic Research, Inc.
    12. Qian, Xiaolin, 2014. "Small investor sentiment, differences of opinion and stock overvaluation," Journal of Financial Markets, Elsevier, vol. 19(C), pages 219-246.
    13. Hugonnier, Julien, 2012. "Rational asset pricing bubbles and portfolio constraints," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2260-2302.
    14. Kaizoji, Taisei & Leiss, Matthias & Saichev, Alexander & Sornette, Didier, 2015. "Super-exponential endogenous bubbles in an equilibrium model of fundamentalist and chartist traders," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 289-310.
    15. Hong, Harrison & Scheinkman, José & Xiong, Wei, 2008. "Advisors and asset prices: A model of the origins of bubbles," Journal of Financial Economics, Elsevier, vol. 89(2), pages 268-287, August.
    16. Li, Jinfang, 2017. "Investor sentiment, heterogeneous agents and asset pricing model," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 504-512.
    17. Wei Xiong, 2013. "Bubbles, Crises, and Heterogeneous Beliefs," NBER Working Papers 18905, National Bureau of Economic Research, Inc.
    18. Johannes Muhle-Karbe & Marcel Nutz, 2018. "A risk-neutral equilibrium leading to uncertain volatility pricing," Finance and Stochastics, Springer, vol. 22(2), pages 281-295, April.
    19. Douglas R. Emery, 2022. "Negative bubbles and the market for “dreams”: “Lemons” in the looking glass," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 45(1), pages 5-16, March.
    20. Yan, Wanfeng & Woodard, Ryan & Sornette, Didier, 2012. "Diagnosis and prediction of rebounds in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1361-1380.

    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:arx:papers:2210.13804. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.