A limit order book model for latency arbitrage
We consider a single security market based on a limit order book and two investors, with different speeds of trade execution. If the fast investor can front-run the slower investor, we show that this allows the fast trader to obtain risk free profits, but that these profits cannot be scaled. We derive the fast trader's optimal behaviour when she has only distributional knowledge of the slow trader's actions, with few restrictions on the possible prior distributions. We also consider the slower trader's response to the presence of a fast trader in a market, and the effects of the introduction of a `Tobin tax' on financial transactions. We show that such a tax can lead to the elimination of profits from front-running strategies. Consequently, a Tobin tax can both increase market efficiency and attract traders to a market.
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- Markus K. Brunnermeier & Lasse Heje Pedersen, 2005.
Journal of Finance,
American Finance Association, vol. 60(4), pages 1825-1863, 08.
- Markus K. Brunnermeier & Lasse Heje Pederson, 2003. "Predatory trading," LSE Research Online Documents on Economics 24829, London School of Economics and Political Science, LSE Library.
- Lasse H. Pedersen & Markus Brunnermeier, 2004. "Predatory Trading," Econometric Society 2004 North American Winter Meetings 425, Econometric Society.
- Markus K. Brunnermeier & Lasse Heje Pedersen, 2004. "Predatory Trading," NBER Working Papers 10755, National Bureau of Economic Research, Inc.
- Markus K Brunnermeier & Lasse Heje Pederson, 2003. "Predatory Trading," FMG Discussion Papers dp441, Financial Markets Group.
- Brunnermeier, Markus K & Pedersen, Lasse Heje, 2004. "Predatory Trading," CEPR Discussion Papers 4639, C.E.P.R. Discussion Papers.
- Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
- Biais, Bruno & Martimort, David & Rochet, Jean-Charles, 1998. "Competing Mechanisms in a Commun Value Environment," IDEI Working Papers 75, Institut d'Économie Industrielle (IDEI), Toulouse.
- Esser, Angelika & Monch, Burkart, 2007. "The navigation of an iceberg: The optimal use of hidden orders," Finance Research Letters, Elsevier, vol. 4(2), pages 68-81, June.
- Bruno Biais & Pierre-Olivier Weill, 2009. "Liquidity Shocks and Order Book Dynamics," NBER Working Papers 15009, National Bureau of Economic Research, Inc.
- Pierre-Olivier Weill & Bruno Biais, 2009. "Liquidity shocks and order book dynamics," 2009 Meeting Papers 89, Society for Economic Dynamics.
- Biais, Bruno & Weill, Pierre-Olivier, 2009. "Liquidity Shocks and Order Book Dynamics," IDEI Working Papers 550, Institut d'Économie Industrielle (IDEI), Toulouse.
- Biais, Bruno & Weill, Pierre-Olivier, 2009. "Liquidity Shocks and Order Book Dynamics," TSE Working Papers 09-037, Toulouse School of Economics (TSE).
- Obizhaeva, Anna A. & Wang, Jiang, 2013. "Optimal trading strategy and supply/demand dynamics," Journal of Financial Markets, Elsevier, vol. 16(1), pages 1-32.
- Anna Obizhaeva & Jiang Wang, 2005. "Optimal Trading Strategy and Supply/Demand Dynamics," NBER Working Papers 11444, National Bureau of Economic Research, Inc.
- Thomas Palley, 1999. "Speculation and Tobin taxes: Why sand in the wheels can increase economic efficiency," Journal of Economics, Springer, vol. 69(2), pages 113-126, June.
- Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
- Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April.
- Alexandre F. Roch, 2008. "Liquidity Risk, Price Impacts and the Replication Problem," Papers 0812.2440, arXiv.org, revised Dec 2009.
- Robert Almgren, 2003. "Optimal execution with nonlinear impact functions and trading-enhanced risk," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(1), pages 1-18.
- Frey, Stefan & Sandås, Patrik, 2009. "The impact of iceberg orders in limit order books," CFR Working Papers 09-06, University of Cologne, Centre for Financial Research (CFR).
- G. Ehrenstein & F. Westerhoff & D. Stauffer, 2005. "Tobin tax and market depth," Quantitative Finance, Taylor & Francis Journals, vol. 5(2), pages 213-218.
- G. Ehrenstein & F. Westerhoff & D. Stauffer, 2003. "Tobin tax and market depth," Papers cond-mat/0311581, arXiv.org.
- Marcel Blais & Philip Protter, 2010. "An Analysis Of The Supply Curve For Liquidity Risk Through Book Data," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 13(06), pages 821-838.
- Ajay Subramanian & Robert A. Jarrow, 2001. "The Liquidity Discount," Mathematical Finance, Wiley Blackwell, vol. 11(4), pages 447-474.
- Gur Huberman & Werner Stanzl, 2005. "Optimal Liquidity Trading," Review of Finance, Springer, vol. 9(2), pages 165-200, 06.
- Gur Huberman & Werner Stanzl, 2000. "Optimal Liquidity Trading," Yale School of Management Working Papers ysm165, Yale School of Management, revised 01 Aug 2001.
- Schoeneborn, Torsten & Schied, Alexander, 2007. "Liquidation in the Face of Adversity: Stealth Vs. Sunshine Trading, Predatory Trading Vs. Liquidity Provision," MPRA Paper 5548, University Library of Munich, Germany.
- Robert A. Jarrow & Philip Protter & Alexandre F. Roch, 2012. "A liquidity-based model for asset price bubbles," Quantitative Finance, Taylor & Francis Journals, vol. 12(9), pages 1339-1349, August.
- Aurélien Alfonsi & Alexander Schied, 2010. "Optimal trade execution and absence of price manipulations in limit order book models," Post-Print hal-00397652, HAL.
- Robert A. Jarrow & Philip Protter, 2012. "A Dysfunctional Role Of High Frequency Trading In Electronic Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-15.
- Gur Huberman & Werner Stanzl, 2004. "Price Manipulation and Quasi-Arbitrage," Econometrica, Econometric Society, vol. 72(4), pages 1247-1275, 07.
- Robert Engle & Robert Ferstenberg, 2006. "Execution Risk," NBER Working Papers 12165, National Bureau of Economic Research, Inc. Full references (including those not matched with items on IDEAS)
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