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Limit Order Book as a Market for Liquidity

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  • Thierry Foucault

    ()

  • Ohad Kadan

    ()

  • Eugene Kandel

    ()

Abstract

We develop a dynamic model of an order-driven market populated by discretionary liquidity traders. These traders differ by their impatience and seek to minimize their trading costs by optimally choosing between market and limit orders. We characterize the equilibrium order placement strategies and the waiting times for limit orders. In equilibrium less patient traders are likely to demand liquidity, more patient traders are more likely to provide it. We find that the resiliency of the limit order book increases with the proportion of patient traders and decreases with the order arrival rate. Furthermore, the spread is negatively related to the proportion of patient traders and the order arrival rate. We show that these findings yield testable predictions on the relation between the trading intensity and the spread. Moreover, the model generates predictions for time-series and cross-sectional variation in the optimal order-submission strategies. Finally, we find that imposing a minimum price variation improves the resiliency of a limit order market. For this reason, reducing the minimum price variation does not necessarily reduce the average spread in limit order markets.

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Bibliographic Info

Paper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp321.

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Length: 66 pages
Date of creation: Jan 2003
Date of revision:
Handle: RePEc:huj:dispap:dp321

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  1. Burton Hollifield & Robert Miller & Patrik Sandas, . "Empirical Analysis of Limit Order Markets," GSIA Working Papers -290183991, Carnegie Mellon University, Tepper School of Business.
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  7. 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.
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  16. 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-.
  17. Seppi, Duane J, 1997. "Liquidity Provision with Limit Orders and a Strategic Specialist," Review of Financial Studies, Society for Financial Studies, vol. 10(1), pages 103-50.
  18. 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.
  19. Anat R. Admati, Paul Pfleiderer, 1988. "A Theory of Intraday Patterns: Volume and Price Variability," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 3-40.
  20. 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.
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  22. George, Thomas J & Kaul, Gautam & Nimalendran, M, 1991. "Estimation of the Bid-Ask Spread and Its Components: A New Approach," Review of Financial Studies, Society for Financial Studies, vol. 4(4), pages 623-56.
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