IDEAS home Printed from https://ideas.repec.org/a/wsi/ijfexx/v02y2015i03ns2424786315500292.html
   My bibliography  Save this article

Patience vs. impatience of traders: Formation of the value-at-price distribution through competition for liquidity

Author

Listed:
  • Peter Lerner

    (SciTech Analytical Services, LLC Woodland Drive, State College, PA 16803, United States)

Abstract

The ability to postpone one's execution in the market without penalty in search of a better price is an important strategic advantage in high-frequency trading. To elucidate competition between traders one has to formulate to a quantitative theory of formation of the execution price from market expectations and quotes. Equilibrium theory was provided in 2005 by Foucault, Kadan and Kandel. I derive an asymptotic distribution of the bids/offers as a function of the ratio of patient and impatient traders using the dynamic version of the Foucault, Kadan and Kandel limit order book (LOB) model. Our version of the LOB model allows stylized, but sufficiently realistic representation of the trading markets. In particular, dynamic LOB allows simulation of the distribution of execution times and spreads from high-frequency quotes. Significant analytic progress is made toward framing of short-term trading as competition for immediacy of execution between traders under imperfect information. The results are qualitatively compared with empirical volume-at-price distribution of highly liquid stocks.

Suggested Citation

  • Peter Lerner, 2015. "Patience vs. impatience of traders: Formation of the value-at-price distribution through competition for liquidity," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 2(03), pages 1-30.
    • Handle: RePEc:wsi:ijfexx:v:02:y:2015:i:03:n:s2424786315500292
    DOI: 10.1142/S2424786315500292
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S2424786315500292
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S2424786315500292?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. Didier SORNETTE & Susanne VON DER BECKE, 2011. "Crashes and High Frequency Trading," Swiss Finance Institute Research Paper Series 11-63, Swiss Finance Institute.
    2. Johannes A. Skjeltorp & Elvira Sojli & Wing Wah Tham, 2012. "Identifying cross-sided liquidity externalities," Working Paper 2012/20, Norges Bank.
    3. de Jong,Frank & Rindi,Barbara, 2009. "The Microstructure of Financial Markets," Cambridge Books, Cambridge University Press, number 9780521867849.
    4. Didier SORNETTE & Susanne VON DER BECKE, 2011. "Crashes and High Frequency Trading," Swiss Finance Institute Research Paper Series 11-64, Swiss Finance Institute.
    5. Obizhaeva, Anna A. & Wang, Jiang, 2013. "Optimal trading strategy and supply/demand dynamics," Journal of Financial Markets, Elsevier, vol. 16(1), pages 1-32.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. P. B. Lerner, 2020. "Dual State-Space Model of Market Liquidity: The Chinese Experience 2009-2010," Papers 2004.06200, arXiv.org, revised May 2020.
    2. Peter B. Lerner, 2022. "Fourier Integral Operator Model of Market Liquidity: The Chinese Experience 2009–2010," Mathematics, MDPI, vol. 10(14), pages 1-25, July.

    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. Sandrine Jacob Leal & Mauro Napoletano & Andrea Roventini & Giorgio Fagiolo, 2016. "Rock around the clock: An agent-based model of low- and high-frequency trading," Journal of Evolutionary Economics, Springer, vol. 26(1), pages 49-76, March.
    2. Virgilio, Gianluca, 2017. "Is high-frequency trading tiering the financial markets?," Research in International Business and Finance, Elsevier, vol. 41(C), pages 158-171.
    3. Floris Laly & Mikael Petitjean, 2020. "Mini flash crashes: Review, taxonomy and policy responses," Bulletin of Economic Research, Wiley Blackwell, vol. 72(3), pages 251-271, July.
    4. Meynhardt, Timo & von Müller, Camillo, 2013. "„Wir wollen Werte schaffen für die Gesellschaft“ – Der Public Value im Spannungsfeld zwischen Aktienwert und Gemeinwohl. Eine Fallstudie am Beispiel der Deutsche Börse AG," ZögU - Zeitschrift für öffentliche und gemeinwirtschaftliche Unternehmen, Nomos Verlagsgesellschaft mbH & Co. KG, vol. 36(2-3), pages 119-149.
    5. Alexandru Mandes, 2015. "Impact of inventory-based electronic liquidity providers within a high-frequency event- and agent-based modeling framework," MAGKS Papers on Economics 201515, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    6. Didier Sornette & Peter Cauwels, 2014. "1980–2008: The Illusion of the Perpetual Money Machine and What It Bodes for the Future," Risks, MDPI, vol. 2(2), pages 1-29, April.
    7. Adrian Buss & Bernard Dumas, 2019. "The Dynamic Properties of Financial‐Market Equilibrium with Trading Fees," Journal of Finance, American Finance Association, vol. 74(2), pages 795-844, April.
    8. Christopher M Wray & Steven R Bishop, 2016. "A Financial Market Model Incorporating Herd Behaviour," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-28, March.
    9. repec:hal:spmain:info:hdl:2441/f6h8764enu2lskk9p4oq9ig8k is not listed on IDEAS
    10. Thomas H. McInish & Olena Nikolsko‐Rzhevska & Alex Nikolsko‐Rzhevskyy & Irina Panovska, 2020. "Fast and slow cancellations and trader behavior," Financial Management, Financial Management Association International, vol. 49(4), pages 973-996, December.
    11. Steffen, Viktoria, 2023. "A literature review on extreme price movements with reversal," Journal of Behavioral and Experimental Finance, Elsevier, vol. 38(C).
    12. Nikolsko-Rzhevska, Olena & Nikolsko-Rzhevskyy, Alex & Black, Jeffrey R., 2020. "The life of U’s: Order revisions on NASDAQ," Journal of Banking & Finance, Elsevier, vol. 111(C).
    13. Gianluca Piero Maria Virgilio, 2019. "High-frequency trading: a literature review," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 33(2), pages 183-208, June.
    14. Chu, Gang & Zhang, Yongjie & Zhang, Xiaotao, 2021. "An analysis of impact of cancellation activity on market quality: Evidence from China," Economic Modelling, Elsevier, vol. 102(C).
    15. Kempf, Alexander & Mayston, Daniel & Gehde-Trapp, Monika & Yadav, Pradeep K., 2015. "Resiliency: A dynamic view of liquidity," CFR Working Papers 15-04, University of Cologne, Centre for Financial Research (CFR).
    16. Alfonso Puorro, 2013. "High frequency trading: an overview," Questioni di Economia e Finanza (Occasional Papers) 198, Bank of Italy, Economic Research and International Relations Area.
    17. Blasco, Natividad & Corredor, Pilar & Ferreruela, Sandra, 2017. "Can agents sensitive to cultural, organizational and environmental issues avoid herding?," Finance Research Letters, Elsevier, vol. 22(C), pages 114-121.
    18. Alexandru Mandes, 2020. "Impact of Electronic Liquidity Providers Within a High-Frequency Agent-Based Modeling Framework," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 407-450, February.
    19. Andrikopoulos, Panagiotis & Kallinterakis, Vasileios & Leite Ferreira, Mario Pedro & Verousis, Thanos, 2017. "Intraday herding on a cross-border exchange," International Review of Financial Analysis, Elsevier, vol. 53(C), pages 25-36.
    20. AlShelahi, Abdullah & Saigal, Romesh, 2018. "Insights into the macroscopic behavior of equity markets: Theory and application," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 778-793.
    21. Gianbiagio Curato & Jim Gatheral & Fabrizio Lillo, 2014. "Optimal execution with nonlinear transient market impact," Papers 1412.4839, arXiv.org.

    More about this item

    Keywords

    Limit order book; Foucault; Kadan and Kandel model; bid-ask spread; market microstructure; G14; G12; C63;
    All these keywords.

    JEL classification:

    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

    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:wsi:ijfexx:v:02:y:2015:i:03:n:s2424786315500292. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscientific.com/worldscinet/ijfe .

    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.