IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2009.02808.html
   My bibliography  Save this paper

Limit Order Book (LOB) shape modeling in presence of heterogeneously informed market participants

Author

Listed:
  • Mouhamad Drame

Abstract

The modeling of the limit order book is directly related to the assumptions on the behavior of real market participants. This paper is twofold. We first present empirical findings that lay the ground for two improvements to these models.The first one is concerned with market participants by adding the additional dimension of informed market makers, whereas the second, and maybe more original one, addresses the race in the book between informed traders and informed market makers leading to different shapes of the order book. Namely we build an agent-based model for the order book with four types of market participants: informed trader, noise trader, informed market makers and noise market makers. We build our model based on the Glosten-Milgrom approach and the most recent Huang-Rosenbaum-Saliba approach. We introduce a parameter capturing the race between informed liquidity traders and suppliers after a new information on the fundamental value of the asset. We then derive the whole 'static' limit order book and its characteristics -- namely the bid-ask spread and volumes available at each level price -- from the interactions between the agents and compare it with the pre-existing model. We then discuss the case where noise traders have an impact on the fundamental value of the asset and extend the model to take into account many kinds of informed market makers.

Suggested Citation

  • Mouhamad Drame, 2020. "Limit Order Book (LOB) shape modeling in presence of heterogeneously informed market participants," Papers 2009.02808, arXiv.org.
    • Handle: RePEc:arx:papers:2009.02808
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2009.02808
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Weibing Huang & Mathieu Rosenbaum & Pamela Saliba, 2019. "From Glosten-Milgrom to the whole limit order book and applications to financial regulation," Papers 1902.10743, arXiv.org.
    2. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
    3. Baruch, Shmuel & Glosten, Lawrence R., 2019. "Tail expectation and imperfect competition in limit order book markets," Journal of Economic Theory, Elsevier, vol. 183(C), pages 661-697.
    4. Glosten, Lawrence R, 1994. "Is the Electronic Open Limit Order Book Inevitable?," Journal of Finance, American Finance Association, vol. 49(4), pages 1127-1161, 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. Brolley, Michael & Malinova, Katya, 2021. "Informed liquidity provision in a limit order market," Journal of Financial Markets, Elsevier, vol. 52(C).
    2. Andrea Attar & Thomas Mariotti & François Salanié, 2021. "Entry-Proofness and Discriminatory Pricing under Adverse Selection," American Economic Review, American Economic Association, vol. 111(8), pages 2623-2659, August.
    3. Chang, Sanders S. & Wang, F. Albert, 2015. "Adverse selection and the presence of informed trading," Journal of Empirical Finance, Elsevier, vol. 33(C), pages 19-33.
    4. Portniaguina, Evgenia & Bernhardt, Dan & Hughson, Eric, 2006. "Hybrid markets, tick size and investor trading costs," Journal of Financial Markets, Elsevier, vol. 9(4), pages 433-447, November.
    5. Bruno Biais & Fany Declerck & Sophie Moinas, 2016. "Who supplies liquidity, how and when?," BIS Working Papers 563, Bank for International Settlements.
    6. Baruch, Shmuel & Panayides, Marios & Venkataraman, Kumar, 2017. "Informed trading and price discovery before corporate events," Journal of Financial Economics, Elsevier, vol. 125(3), pages 561-588.
    7. Skjeltorp, Johannes A & Odegaard, Bernt Arne, 2010. "Why do firms pay for liquidity provision in limit order markets?," UiS Working Papers in Economics and Finance 2010/3, University of Stavanger.
    8. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2019. "On competitive nonlinear pricing," Theoretical Economics, Econometric Society, vol. 14(1), January.
    9. Bondarenko, Oleg, 2001. "Competing market makers, liquidity provision, and bid-ask spreads," Journal of Financial Markets, Elsevier, vol. 4(3), pages 269-308, June.
    10. de Jong, Frank & Nijman, Theo & Roell, Ailsa, 1996. "Price effects of trading and components of the bid-ask spread on the Paris Bourse," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 193-213, June.
    11. Kappi, Jari & Siivonen, Risto, 2000. "Market liquidity and depth on two different electronic trading systems: A comparison of Bund futures trading on the APT and DTB," Journal of Financial Markets, Elsevier, vol. 3(4), pages 389-402, November.
    12. Bayona, Anna & Dumitrescu, Ariadna & Manzano, Carolina, 2023. "Information and optimal trading strategies with dark pools," Economic Modelling, Elsevier, vol. 126(C).
    13. Min-Hsien Chiang & Tsai-Yin Lin & Chih-Hsien Jerry Yu, 2009. "Liquidity Provision of Limit Order Trading in the Futures Market Under Bull and Bear Markets," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 36(7-8), pages 1007-1038.
    14. Foucault, Thierry, 1999. "Order flow composition and trading costs in a dynamic limit order market1," Journal of Financial Markets, Elsevier, vol. 2(2), pages 99-134, May.
    15. Chakravarty, Sugato & Harris, Fredreck H. deB. & Wood, Roger A., 2001. "Do Bid-Ask Spreads or Bid and Ask Depths Convey New Information First?," Purdue University Economics Working Papers 1149, Purdue University, Department of Economics.
    16. Jain, Pawan & Jiang, Christine, 2014. "Predicting future price volatility: Empirical evidence from an emerging limit order market," Pacific-Basin Finance Journal, Elsevier, vol. 27(C), pages 72-93.
    17. Jie-Haun Lee & Whei-May Fan, 2014. "Investors’ perception of corporate governance: a spillover effect of Taiwan corporate scandals," Review of Quantitative Finance and Accounting, Springer, vol. 43(1), pages 97-119, July.
    18. Bogdan Negrea, 2011. "How to Compute the Liquidity Cost in the Orders-Driven Market?," The Review of Finance and Banking, Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante, vol. 3(1), pages 007-019, June.
    19. Ahn, Hee-Joon & Cai, Jun & Hamao, Yasushi & Ho, Richard Y.K., 2005. "Adverse selection, brokerage coverage, and trading activity on the Tokyo Stock Exchange," Journal of Banking & Finance, Elsevier, vol. 29(6), pages 1483-1508, June.
    20. Martin D. Gould & Mason A. Porter & Stacy Williams & Mark McDonald & Daniel J. Fenn & Sam D. Howison, 2010. "Limit Order Books," Papers 1012.0349, arXiv.org, revised Apr 2013.

    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:2009.02808. 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.