IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1611.01440.html
   My bibliography  Save this paper

Liquidity induced asset bubbles via flows of ELMMs

Author

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

Abstract

We consider a constructive model for asset price bubbles, where the market price $W$ is endogenously determined by the trading activity on the market and the fundamental price $W^F$ is exogenously given, as in the work of Jarrow, Protter and Roch (2012). To justify $W^F$ from a fundamental point of view, we embed this constructive approach in the martingale theory of bubbles, see Jarrow, Protter and Shimbo (2010) and Biagini, F\"ollmer and Nedelcu (2014), by showing the existence of a flow of equivalent martingale measures for $W$, under which $W^F$ equals the expectation of the discounted future cash flow. As an application, we study bubble formation and evolution in a financial network.

Suggested Citation

  • Francesca Biagini & Andrea Mazzon & Thilo Meyer-Brandis, 2016. "Liquidity induced asset bubbles via flows of ELMMs," Papers 1611.01440, arXiv.org, revised Nov 2016.
  • Handle: RePEc:arx:papers:1611.01440
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1611.01440
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Blei, Stefan & Engelbert, Hans-Jürgen, 2009. "On exponential local martingales associated with strong Markov continuous local martingales," Stochastic Processes and their Applications, Elsevier, vol. 119(9), pages 2859-2880, September.
    2. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    3. 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.
    4. Franklin Allen & Douglas Gale, 2000. "Financial Contagion," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 1-33, February.
    5. M. E. J. Newman & S. H. Strogatz & D. J. Watts, 2000. "Random Graphs with Arbitrary Degree Distribution and Their Applications," Working Papers 00-07-042, Santa Fe Institute.
    6. 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.
    7. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    8. 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.
    9. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    10. 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.
    11. Youngna Choi & Raphaël Douady, 2013. "Financial Crisis and Contagion: A Dynamical Systems Approach," Post-Print hal-00666752, HAL.
    12. Daron Acemoglu & Vasco M. Carvalho & Asuman Ozdaglar & Alireza Tahbaz‐Salehi, 2012. "The Network Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 80(5), pages 1977-2016, September.
    13. Robert Jarrow & Philip Protter, 2011. "Foreign currency bubbles," Review of Derivatives Research, Springer, vol. 14(1), pages 67-83, April.
    14. Alexander Cox & David Hobson, 2005. "Local martingales, bubbles and option prices," Finance and Stochastics, Springer, vol. 9(4), pages 477-492, October.
    15. 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.
    16. 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.
    17. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-1168, September.
    18. 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.
    19. Hamed Amini & Rama Cont & Andreea Minca, 2016. "Resilience To Contagion In Financial Networks," Mathematical Finance, Wiley Blackwell, vol. 26(2), pages 329-365, April.
    20. Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-896, July.
    21. Follmer, Hans & Horst, Ulrich & Kirman, Alan, 2005. "Equilibria in financial markets with heterogeneous agents: a probabilistic perspective," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 123-155, February.
    22. 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.
    23. 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 & Katharina Oberpriller, 2022. "Liquidity based modeling of asset price bubbles via random matching," Papers 2210.13804, arXiv.org, revised Nov 2022.
    2. 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.
    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 & Thomas Reitsam, 2019. "Asset Price Bubbles in market models with proportional transaction costs," Papers 1911.10149, arXiv.org, revised Dec 2020.
    5. 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.
    6. Kaizoji, Taisei (kaizoji@icu.ac.jp), 2010. "A Behavioral Model of Bubbles and Crashes," MPRA Paper 20352, University Library of Munich, Germany.
    7. Christoph Belak & Sören Christensen & Olaf Menkens, 2016. "Worst-Case Portfolio Optimization In A Market With Bubbles," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 1-36, March.
    8. Li Lin & Didier Sornette, 2009. "Diagnostics of Rational Expectation Financial Bubbles with Stochastic Mean-Reverting Termination Times," Papers 0911.1921, arXiv.org.
    9. 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.
    10. 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.
    11. John R. Conlon, 2015. "Should Central Banks Burst Bubbles? Some Microeconomic Issues," Economic Journal, Royal Economic Society, vol. 125(582), pages 141-161, February.
    12. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    13. Aragón, Nicolás & Roulund, Rasmus Pank, 2020. "Confidence and decision-making in experimental asset markets," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 688-718.
    14. Carlos J. Perez & Manuel Santos, 2017. "On the Dynamics of Speculation in a Model of Bubbles and Manias," Working Papers 2017-02, University of Miami, Department of Economics.
    15. Barlevy, Gadi, 2014. "A leverage-based model of speculative bubbles," Journal of Economic Theory, Elsevier, vol. 153(C), pages 459-505.
    16. 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.
    17. Wei Xiong, 2013. "Bubbles, Crises, and Heterogeneous Beliefs," NBER Working Papers 18905, National Bureau of Economic Research, Inc.
    18. Razen, Michael & Huber, Jürgen & Kirchler, Michael, 2017. "Cash inflow and trading horizon in asset markets," European Economic Review, Elsevier, vol. 92(C), pages 359-384.
    19. Hugonnier, Julien & Prieto, Rodolfo, 2015. "Asset pricing with arbitrage activity," Journal of Financial Economics, Elsevier, vol. 115(2), pages 411-428.
    20. Loukas Balafoutas & Simon Czermak & Marc Eulerich & Helena Fornwagner, 2020. "Incentives For Dishonesty: An Experimental Study With Internal Auditors," Economic Inquiry, Western Economic Association International, vol. 58(2), pages 764-779, April.

    More about this item

    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:arx:papers:1611.01440. 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.