IDEAS home Printed from https://ideas.repec.org/a/eee/jfinec/v91y2009i1p102-117.html
   My bibliography  Save this article

A market-clearing role for inefficiency on a limit order book

Author

Listed:
  • Large, Jeremy

Abstract

Limit order markets with stationary dynamics attract equal volumes of market orders and uncanceled limit orders, equalizing the supply and demand for liquidity and immediacy. To maintain this balance, market orders must share any benefit obtained by limit order traders from more efficient trading conditions, such as better order queuing policies. Therefore an efficient market places a low price on immediacy, producing small bid-ask spreads. Furthermore, when price-discreteness leads to a mainly constant spread, cutting the price tick raises surplus. This is modeled with a stochastic sequential game, using stationarity considerations to bypass direct analysis of traders' intricate market forecasts.

Suggested Citation

  • Large, Jeremy, 2009. "A market-clearing role for inefficiency on a limit order book," Journal of Financial Economics, Elsevier, vol. 91(1), pages 102-117, January.
  • Handle: RePEc:eee:jfinec:v:91:y:2009:i:1:p:102-117
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-405X(08)00145-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Burton Hollifield & Robert A. Miller & Patrik Sandås, 2004. "Empirical Analysis of Limit Order Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1027-1063.
    2. Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1171-1217.
    3. Kenneth A. Kavajecz, 1999. "A Specialist's Quoted Depth and the Limit Order Book," Journal of Finance, American Finance Association, vol. 54(2), pages 747-771, April.
    4. Anshuman, V Ravi & Kalay, Avner, 1998. "Market Making with Discrete Prices," The Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 81-109.
    5. Jeremy Large & Thomas Norman, 2008. "Ergodic Equilibria in Stochastic Sequential Games," Economics Series Working Papers 405, University of Oxford, Department of Economics.
    6. 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.
    7. 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.
    8. Darrell Duffie, 2012. "Over-The-Counter Markets," Introductory Chapters, in: Dark Markets: Asset Pricing and Information Transmission in Over-the-Counter Markets, Princeton University Press.
    9. Vayanos, Dimitri & Wang, Tan, 2007. "Search and endogenous concentration of liquidity in asset markets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 66-104, September.
    10. Harris, Lawrence E, 1994. "Minimum Price Variations, Discrete Bid-Ask Spreads, and Quotation Sizes," The Review of Financial Studies, Society for Financial Studies, vol. 7(1), pages 149-178.
    11. Bernhardt, Dan & Hughson, Eric, 1996. "Discrete Pricing and the Design of Dealership Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 148-182, October.
    12. Van Ness, Bonnie F & Van Ness, Robert A & Pruitt, Stephen W, 2000. "The Impact of the Reduction in Tick Increments in Major U.S. Markets on Spreads, Depth, and Volatility," Review of Quantitative Finance and Accounting, Springer, vol. 15(2), pages 153-167, September.
    13. Ahn, Hee-Joon & Cao, Charles Q. & Choe, Hyuk, 1996. "Tick Size, Spread, and Volume," Journal of Financial Intermediation, Elsevier, vol. 5(1), pages 2-22, January.
    14. Bessembinder, Hendrik, 2000. "Tick Size, Spreads, and Liquidity: An Analysis of Nasdaq Securities Trading near Ten Dollars," Journal of Financial Intermediation, Elsevier, vol. 9(3), pages 213-239, July.
    15. Jones, Charles M. & Lipson, Marc L., 2001. "Sixteenths: direct evidence on institutional execution costs," Journal of Financial Economics, Elsevier, vol. 59(2), pages 253-278, February.
    16. Terrence Hendershott & Charles M. Jones, 2005. "Island Goes Dark: Transparency, Fragmentation, and Regulation," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 743-793.
    17. 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.
    18. Chakravarty Sugato & Holden Craig W., 1995. "An Integrated Model of Market and Limit Orders," Journal of Financial Intermediation, Elsevier, vol. 4(3), pages 213-241, July.
    19. Cordella, Tito & Foucault, Thierry, 1999. "Minimum Price Variations, Time Priority, and Quote Dynamics," Journal of Financial Intermediation, Elsevier, vol. 8(3), pages 141-173, July.
    20. Cohen, Kalman J & Maier, Steven F & Schwartz, Robert A & Whitcomb, David K, 1981. "Transaction Costs, Order Placement Strategy, and Existence of the Bid-Ask Spread," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 287-305, April.
    21. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    22. Goldstein, Michael A. & A. Kavajecz, Kenneth, 2000. "Eighths, sixteenths, and market depth: changes in tick size and liquidity provision on the NYSE," Journal of Financial Economics, Elsevier, vol. 56(1), pages 125-149, April.
    23. Weill, Pierre-Olivier, 2008. "Liquidity premia in dynamic bargaining markets," Journal of Economic Theory, Elsevier, vol. 140(1), pages 66-96, May.
    24. Lee, Charles M C & Mucklow, Belinda & Ready, Mark J, 1993. "Spreads, Depths, and the Impact of Earnings Information: An Intraday Analysis," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 345-374.
    25. Biais, Bruno & Hillion, Pierre & Spatt, Chester, 1995. "An Empirical Analysis of the Limit Order Book and the Order Flow in the Paris Bourse," Journal of Finance, American Finance Association, vol. 50(5), pages 1655-1689, December.
    26. Parlour, Christine A, 1998. "Price Dynamics in Limit Order Markets," The Review of Financial Studies, Society for Financial Studies, vol. 11(4), pages 789-816.
    27. Kadan, Ohad, 2006. "So who gains from a small tick size?," Journal of Financial Intermediation, Elsevier, vol. 15(1), pages 32-66, January.
    28. Ahn, Hee-Joon & Cao, Charles Q. & Choe, Hyuk, 1998. "Decimalization and competition among stock markets: Evidence from the Toronto Stock Exchange cross-listed securities," Journal of Financial Markets, Elsevier, vol. 1(1), pages 51-87, April.
    29. Large, Jeremy, 2007. "Measuring the resiliency of an electronic limit order book," Journal of Financial Markets, Elsevier, vol. 10(1), pages 1-25, February.
    30. Handa, Puneet & Schwartz, Robert A, 1996. "Limit Order Trading," Journal of Finance, American Finance Association, vol. 51(5), pages 1835-1861, December.
    31. Seppi, Duane J, 1997. "Liquidity Provision with Limit Orders and a Strategic Specialist," The Review of Financial Studies, Society for Financial Studies, vol. 10(1), pages 103-150.
    32. Ronald L. Goettler & Christine A. Parlour & Uday Rajan, 2005. "Equilibrium in a Dynamic Limit Order Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2149-2192, October.
    33. Domowitz, Ian & Wang, Jianxin, 1994. "Auctions as algorithms : Computerized trade execution and price discovery," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 29-60, January.
    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. Degryse, Hans & Van Achter, Mark & Wuyts, Gunther, 2009. "Dynamic order submission strategies with competition between a dealer market and a crossing network," Journal of Financial Economics, Elsevier, vol. 91(3), pages 319-338, March.
    2. Alexander Bechtel & Angelo Ranaldo & Jan Wrampelmeyer, 2023. "Liquidity Risk and Funding Cost," Review of Finance, European Finance Association, vol. 27(2), pages 399-422.
    3. Jeremy Large & Thomas Norman, 2008. "Ergodic Equilibria in Stochastic Sequential Games," Economics Series Working Papers 405, University of Oxford, Department of Economics.
    4. Thierry Foucault & Ohad Kadan & Eugene Kandel, 2013. "Liquidity Cycles and Make/Take Fees in Electronic Markets," Journal of Finance, American Finance Association, vol. 68(1), pages 299-341, February.
    5. Daniel Havran & Kata Varadi, 2015. "Price Impact and the Recovery of the Limit Order Book: Why Should We Care About Informed Liquidity Providers?," CERS-IE WORKING PAPERS 1540, Institute of Economics, Centre for Economic and Regional Studies.
    6. Field, Jonathan & Large, Jeremy, 2008. "Pro-rata matching and one-tick futures markets," CFS Working Paper Series 2008/40, Center for Financial Studies (CFS).
    7. Bruce Lehmann, 2008. "Arbitrage-free Limit Order Books and the Pricing of Order Flow Risk," NBER Working Papers 13848, National Bureau of Economic Research, Inc.

    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. Murphy Jun Jie Lee, 2013. "The Microstructure of Trading Processes on the Singapore Exchange," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 4, July-Dece.
    2. Jeremy Large, 2006. "A Market-Clearing Role for Inefficiency on a Limit Order Book," Economics Series Working Papers 2006-W08, University of Oxford, Department of Economics.
    3. Murphy Jun Jie Lee, 2013. "The Microstructure of Trading Processes on the Singapore Exchange," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2013, March.
    4. Biais, Bruno & Glosten, Larry & Spatt, Chester, 2005. "Market microstructure: A survey of microfoundations, empirical results, and policy implications," Journal of Financial Markets, Elsevier, vol. 8(2), pages 217-264, May.
    5. Ladley, Dan & Schenk-Hoppé, Klaus Reiner, 2009. "Do stylised facts of order book markets need strategic behaviour?," Journal of Economic Dynamics and Control, Elsevier, vol. 33(4), pages 817-831, April.
    6. Goldstein, Michael A. & A. Kavajecz, Kenneth, 2000. "Eighths, sixteenths, and market depth: changes in tick size and liquidity provision on the NYSE," Journal of Financial Economics, Elsevier, vol. 56(1), pages 125-149, April.
    7. Buti, Sabrina & Rindi, Barbara & Wen, Yuanji & Werner, Ingrid M., 2013. "Tick Size Regulation and Sub-Penny Trading," Working Paper Series 2013-14, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    8. G. Wuyts, 2007. "Stock Market Liquidity.Determinants and Implications," Review of Business and Economic Literature, KU Leuven, Faculty of Economics and Business (FEB), Review of Business and Economic Literature, vol. 0(2), pages 279-316.
    9. 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.
    10. Ioanid Rosu, 2009. "A Dynamic Model of the Limit Order Book," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4601-4641, November.
    11. Ioanid Rosu, 2009. "A Dynamic Model of the Limit Order Book," Post-Print hal-00515873, HAL.
    12. Hasbrouck, Joel & Saar, Gideon, 2009. "Technology and liquidity provision: The blurring of traditional definitions," Journal of Financial Markets, Elsevier, vol. 12(2), pages 143-172, May.
    13. Ellul, Andrew & Holden, Craig W. & Jain, Pankaj & Jennings, Robert, 2007. "Order dynamics: Recent evidence from the NYSE," Journal of Empirical Finance, Elsevier, vol. 14(5), pages 636-661, December.
    14. Hans Degryse & Frank Jong & Maarten Ravenswaaij & Gunther Wuyts, 2005. "Aggressive Orders and the Resiliency of a Limit Order Market," Review of Finance, Springer, vol. 9(2), pages 201-242, June.
    15. Menkhoff, Lukas & Osler, Carol L. & Schmeling, Maik, 2010. "Limit-order submission strategies under asymmetric information," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2665-2677, November.
    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. Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1171-1217.
    18. Obizhaeva, Anna A. & Wang, Jiang, 2013. "Optimal trading strategy and supply/demand dynamics," Journal of Financial Markets, Elsevier, vol. 16(1), pages 1-32.
    19. Albuquerque, Rui & Song, Shiyun & Yao, Chen, 2017. "The Price Effects of Liquidity Shocks: A Study of SEC’s Tick-Size Experiment," CEPR Discussion Papers 12486, C.E.P.R. Discussion Papers.
    20. Roberto Pascual & David Veredas, 2010. "Does the Open Limit Order Book Matter in Explaining Informational Volatility?," Journal of Financial Econometrics, Oxford University Press, vol. 8(1), pages 57-87, Winter.

    More about this item

    Keywords

    Stochastic sequential game Stationary equilibrium Limit order book Market depths Bid-ask spread;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G24 - Financial Economics - - Financial Institutions and Services - - - Investment Banking; Venture Capital; Brokerage

    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:eee:jfinec:v:91:y:2009:i:1:p:102-117. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505576 .

    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.