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Limit Order Book as a Market for Liquidity

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Author Info
Thierry Foucault
Ohad Kadan
Eugene Kandel

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Abstract

We develop a dynamic model of a limit order market populated by strategic liquidity traders of varying impatience. In equilibrium, patient traders tend to submit limit orders, whereas impatient traders submit market orders. Two variables are the key determinants of the limit order book dynamics in equilibrium: the proportion of patient traders and the order arrival rate. We offer several testable implications for various market quality measures such as spread, trading frequency, market resiliency, and time to execution for limit orders. Finally, we show the effect of imposing a minimal price variation on these measures. Copyright 2005, Oxford University Press.

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File URL: http://hdl.handle.net/10.1093/rfs/hhi029
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Publisher Info
Article provided by Oxford University Press for Society for Financial Studies in its journal The Review of Financial Studies.

Volume (Year): 18 (2005)
Issue (Month): 4 ()
Pages: 1171-1217
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:oup:rfinst:v:18:y:2005:i:4:p:1171-1217

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Griffiths, Mark D. & Smith, Brian F. & Turnbull, D. Alasdair S. & White, Robert W., 2000. "The costs and determinants of order aggressiveness," Journal of Financial Economics, Elsevier, vol. 56(1), pages 65-88, April. [Downloadable!] (restricted)
  2. Joel Hasbrouck, 1999. "Trading Fast and Slow: Security Market Events in Real Time," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-012, New York University, Leonard N. Stern School of Business-. [Downloadable!]
  3. Keim, Donald B. & Madhavan, Ananth, 1995. "Anatomy of the trading process Empirical evidence on the behavior of institutional traders," Journal of Financial Economics, Elsevier, vol. 37(3), pages 371-398, March. [Downloadable!] (restricted)
  4. Engle, Robert F. & Patton, Andrew J., 2004. "Impacts of trades in an error-correction model of quote prices," Journal of Financial Markets, Elsevier, vol. 7(1), pages 1-25, January. [Downloadable!] (restricted)
    Other versions:
  5. Parlour, Christine A, 1998. "Price Dynamics in Limit Order Markets," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 11(4), pages 789-816.
  6. Chung, Kee H. & Van Ness, Bonnie F. & Van Ness, Robert A., 1999. "Limit orders and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 53(2), pages 255-287, August. [Downloadable!] (restricted)
  7. Madhavan, Ananth, 2000. "Market microstructure: A survey," Journal of Financial Markets, Elsevier, vol. 3(3), pages 205-258, August. [Downloadable!] (restricted)
  8. Hollifield, Burton & Miller, Robert & Sandås, Patrik, 2001. "Empirical Analysis of Limit Order Markets," CEPR Discussion Papers 2843, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  9. Ananth Madhavan & Matthew Richardson & Mark Roomans, 1996. "Why Do Security Prices Change? A Transaction-Level Analysis of NYSE Stocks," New York University, Leonard N. Stern School Finance Department Working Paper Seires 96-34, New York University, Leonard N. Stern School of Business-.
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  10. 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. [Downloadable!] (restricted)
  11. 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, 04. [Downloadable!] (restricted)
  12. Huang, Roger D & Stoll, Hans R, 1997. "The Components of the Bid-Ask Spread: A General Approach," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 10(4), pages 995-1034.
  13. George, Thomas J & Kaul, Gautam & Nimalendran, M, 1991. "Estimation of the Bid-Ask Spread and Its Components: A New Approach," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 4(4), pages 623-56. [Downloadable!] (restricted)
  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, 06. [Downloadable!] (restricted)
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  15. Hollifield, Burton & Miller, Robert A. & Sandås, Patrik & Slive, Joshua, 2002. "Liquidity Supply and Demand in Limit Order Markets," CEPR Discussion Papers 3676, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  16. Anat R. Admati, Paul Pfleiderer, 1988. "A Theory of Intraday Patterns: Volume and Price Variability," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 1(1), pages 3-40. [Downloadable!] (restricted)
  17. 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 1655-89, December. [Downloadable!] (restricted)
  18. Handa, Puneet & Schwartz, Robert A, 1996. " Limit Order Trading," Journal of Finance, American Finance Association, vol. 51(5), pages 1835-61, December. [Downloadable!] (restricted)
  19. Seppi, Duane J, 1997. "Liquidity Provision with Limit Orders and a Strategic Specialist," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 10(1), pages 103-50.
  20. Sugato Chakravarty & Craig Holden, 2002. "An Integrated Model of Market and Limit Orders," Finance 0201004, EconWPA. [Downloadable!]
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Degryse, H. & Jong, F. de & Ravenswaaij, M. van & Wuyts, G., 2002. "Aggressive orders and the resiliency of a limit order market," Discussion Paper 80, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. Randi Naes & Johannes A. Skjeltorp, 2003. "Strategic Investor Behaviour and the Volume-Volatility Relation in Equity Markets," Working Paper 2003/9, Norges Bank. [Downloadable!]
  3. Thierry Foucault & Sophie Moinas & Erik Theissen, 2004. "Does Anonymity Matter in Electronic Limit Order Markets?," Discussion Papers 3, SFB/TR 15 Governance and the Efficiency of Economic Systems, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich. [Downloadable!]
    Other versions:
  4. Wing Lon NG, 2004. "Duration and Order Type Clusters," Econometric Society 2004 Far Eastern Meetings 730, Econometric Society. [Downloadable!]
  5. Asani Sarkar & Robert A. Schwartz, 2007. "Market sidedness: insights into motives for trade initiation," Staff Reports 292, Federal Reserve Bank of New York. [Downloadable!]
  6. Garud Iyengar & Anuj Kumar, 2006. "An equilibrium model for matching impatient demand and patient supply over time," Quantitative Finance Papers cs/0612065, arXiv.org, revised Mar 2007. [Downloadable!]
  7. Jeremy Large, 2006. "A Market-Clearing Role for Inefficiency on a Limit Order Book," Economics Papers 2006-W08, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
    Other versions:
  8. Konstantin Tyurin, 2004. "High-Frequency Principal Components and Evolution of Liquidity in a Limit Order Market," Econometric Society 2004 North American Summer Meetings 579, Econometric Society. [Downloadable!]
  9. Matthieu Wyart & Jean-Philippe Bouchaud & Julien Kockelkoren & Marc Potters & Michele Vettorazzo, 2006. "Relation between Bid-Ask Spread, Impact and Volatility in Double Auction Markets," Science & Finance (CFM) working paper archive 500067, Science & Finance, Capital Fund Management. [Downloadable!]
    Other versions:
  10. Jeremy Large, 2004. "Cancellation and Uncertainty Aversion on Limit Order Books," Economics Papers 2004-W05, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
    Other versions:
  11. Hollifield, Burton & Miller, Robert A. & Sandås, Patrik & Slive, Joshua, 2002. "Liquidity Supply and Demand in Limit Order Markets," CEPR Discussion Papers 3676, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  12. Gur Huberman & Werner Stanzl, 2005. "Optimal Liquidity Trading," Review of Finance, Springer, vol. 9(2), pages 165-200, 06. [Downloadable!] (restricted)
    Other versions:
  13. Hans Degryse & Mark Van Achter & Gunther Wuyts, 2007. "Dynamic order submission strategies with competition between a dealer market and a crossing network," Research series 200712-15, National Bank of Belgium. [Downloadable!]
    Other versions:
  14. Luana Gava, 2005. "The Speed Of Limit Order Execution In The Spanish Stock Exchange," Business Economics Working Papers wb057718, Universidad Carlos III, Departamento de Economía de la Empresa. [Downloadable!]
  15. Craig H. Furfine & Eli M. Remolona, 2005. "Price discovery in a market under stress: the U.S. Treasury market in fall 1998," Working Paper Series WP-05-06, Federal Reserve Bank of Chicago. [Downloadable!]
  16. Anna Obizhaeva & Jiang Wang, 2005. "Optimal Trading Strategy and Supply/Demand Dynamics," NBER Working Papers 11444, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  17. Jung-Wook Kim & Jason Lee & Randall Morck, 2009. "Characteristics of Observed Limit Order Demand and Supply Schedules for Individual Stocks," NBER Working Papers 14733, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  18. Wing Lon NG, 2004. "Duration and Order Type Clusters," Econometric Society 2004 Australasian Meetings 272, Econometric Society. [Downloadable!]
  19. Helena, BELTRAN & Pierre, GIOT & Joachim, GRAMMIG, 2005. "Commonalities in the order book," Discussion Papers (ECON - Département des Sciences Economiques) 2005014, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
    Other versions:
  20. PASCUAL, Roberto & VEREDAS, David, 2006. "Does the open limit order book matter in explaining long run volatility ?," CORE Discussion Papers 2006110, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
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