IDEAS home Printed from https://ideas.repec.org/a/oup/revfin/v9y2005i2p165-200..html
   My bibliography  Save this article

Optimal Liquidity Trading

Author

Listed:
  • Gur Huberman
  • Werner Stanzl

Abstract

A liquidity trader wishes to trade a fixed number of shares within a certain time horizon and to minimize the mean and variance of the costs of trading. Explicit formulas for the optimal trading strategies show that risk-averse liquidity traders reduce their order sizes over time and execute a higher fraction of their total trading volume in early periods when price volatility or liquidity increases. In the presence of transaction fees, traders want to trade less often when either price volatility or liquidity goes up or when the speed of price reversion declines. In the multi-asset case, price effects across assets have a substantial impact on trading behavior.

Suggested Citation

  • Gur Huberman & Werner Stanzl, 2005. "Optimal Liquidity Trading," Review of Finance, European Finance Association, vol. 9(2), pages 165-200.
    • Handle: RePEc:oup:revfin:v:9:y:2005:i:2:p:165-200.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10679-005-7591-5
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1171-1217.
    2. Hausman, Jerry A. & Lo, Andrew W. & MacKinlay, A. Craig, 1992. "An ordered probit analysis of transaction stock prices," Journal of Financial Economics, Elsevier, vol. 31(3), pages 319-379, June.
    3. Kempf, Alexander & Korn, Olaf, 1999. "Market depth and order size1," Journal of Financial Markets, Elsevier, vol. 2(1), pages 29-48, February.
    4. Back, Kerry & Pedersen, Hal, 1998. "Long-lived information and intraday patterns," Journal of Financial Markets, Elsevier, vol. 1(3-4), pages 385-402, September.
    5. Dutta, Prajit K. & Madhavan, Ananth, 1995. "Price Continuity Rules and Insider Trading," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(2), pages 199-221, June.
    6. Lo, Andrew W & MacKinlay, A Craig, 1990. "When Are Contrarian Profits Due to Stock Market Overreaction?," The Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 175-205.
    7. Hans Degryse & Frank De Jong & Maarten Van Ravenswaaij & Gunther Wuyts, 2005. "Aggressive Orders and the Resiliency of a Limit Order Market," Review of Finance, European Finance Association, vol. 9(2), pages 201-242.
    8. Keim, Donald B & Madhaven, Ananth, 1996. "The Upstairs Market for Large-Block Transactions: Analysis and Measurement of Price Effects," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 1-36.
    9. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    10. Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April.
    11. Back, Kerry, 1992. "Insider Trading in Continuous Time," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 387-409.
    12. Easley, David & O'Hara, Maureen, 1992. "Time and the Process of Security Price Adjustment," Journal of Finance, American Finance Association, vol. 47(2), pages 576-605, June.
    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. Gur Huberman & Werner Stanzl, 2000. "Optimal Liquidity Trading," Yale School of Management Working Papers ysm165, Yale School of Management, revised 01 Aug 2001.
    2. Vayanos, Dimitri & Wang, Jiang, 2013. "Market Liquidity—Theory and Empirical Evidence ," 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 1289-1361, Elsevier.
    3. Werner Stanzl & Gur Huberman, 2000. "Arbitrage-Free Price-Update and Price-Impact Functions," Yale School of Management Working Papers ysm164, Yale School of Management, revised 01 Jan 2001.
    4. Werner Stanzl & Gur Huberman, 2000. "Arbitrage-Free Price-Update and Price-Impact Functions," Yale School of Management Working Papers ysm164, Yale School of Management, revised 01 Jan 2001.
    5. Dimitri Vayanos & Jiang Wang, 2012. "Market Liquidity -- Theory and Empirical Evidence," NBER Working Papers 18251, National Bureau of Economic Research, Inc.
    6. J. Doyne Farmer & Austin Gerig & Fabrizio Lillo & Henri Waelbroeck, 2013. "How efficiency shapes market impact," Quantitative Finance, Taylor & Francis Journals, vol. 13(11), pages 1743-1758, November.
    7. Lei, Qin & Wu, Guojun, 2005. "Time-varying informed and uninformed trading activities," Journal of Financial Markets, Elsevier, vol. 8(2), pages 153-181, May.
    8. Obizhaeva, Anna A. & Wang, Jiang, 2013. "Optimal trading strategy and supply/demand dynamics," Journal of Financial Markets, Elsevier, vol. 16(1), pages 1-32.
    9. Anna Obizhaeva, 2007. "Liquidity Estimates and Selection Bias," Working Papers w0225, Center for Economic and Financial Research (CEFIR).
    10. Dridi, Ramdan & Germain, Laurent, 2004. "Bullish/Bearish Strategies of Trading: A Nonlinear Equilibrium," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(4), pages 873-886, December.
    11. Anna Obizhaeva, 2007. "Liquidity Estimates and Selection Bias," Working Papers w0225, New Economic School (NES).
    12. Zhiwu Chen & Werner Stanzl & Masahiro Watanabe, 2002. "Price Impact Costs and the Limit of Arbitrage," Yale School of Management Working Papers ysm251, Yale School of Management, revised 08 Jun 2006.
    13. Dimitri Vayanos, 2001. "Strategic Trading in a Dynamic Noisy Market," Journal of Finance, American Finance Association, vol. 56(1), pages 131-171, February.
    14. Hong, Harrison & Rady, Sven, 2002. "Strategic trading and learning about liquidity," Journal of Financial Markets, Elsevier, vol. 5(4), pages 419-450, October.
    15. Dimitri Vayanos, 1999. "Strategic Trading and Welfare in a Dynamic Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 219-254.
    16. 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.
    17. Ningyuan Chen & Steven Kou & Chun Wang, 2018. "A Partitioning Algorithm for Markov Decision Processes with Applications to Market Microstructure," Management Science, INFORMS, vol. 64(2), pages 784-803, February.
    18. Danny Lo, 2015. "Essays in Market Microstructure and Investor Trading," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 4-2015.
    19. Danilova, Albina & Julliard, Christian, 2014. "Information asymmetries, volatility, liquidity, and the Tobin Tax," LSE Research Online Documents on Economics 60957, London School of Economics and Political Science, LSE Library.
    20. Chakravarty, Sugato, 2001. "Stealth-trading: Which traders' trades move stock prices?," Journal of Financial Economics, Elsevier, vol. 61(2), pages 289-307, August.

    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:oup:revfin:v:9:y:2005:i:2:p:165-200.. 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: Oxford University Press (email available below). General contact details of provider: https://edirc.repec.org/data/eufaaea.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.