Optimal order placement in limit order markets
To execute a trade, participants in electronic equity markets may choose to submit limit orders or market orders across various exchanges where a stock is traded. This decision is influenced by the characteristics of the order flow and queue sizes in each limit order book, as well as the structure of transaction fees and rebates across exchanges. We propose a quantitative framework for studying this order placement problem by formulating it as a convex optimization problem. This formulation allows to study how the interplay between the state of order books, the fee structure, order flow properties and preferences of a trader determine the optimal placement decision. In the case of a single exchange, we derive an explicit solution for the optimal split between limit and market orders. For the general problem of order placement across multiple exchanges, we propose a stochastic algorithm for computing the optimal policy and study the sensitivity of the solution to various parameters using a numerical implementation of the algorithm.
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- Sophie Laruelle & Charles-Albert Lehalle & Gilles Pagès, 2009.
"Optimal split of orders across liquidity pools: a stochastic algorithm approach,"
- Sophie Laruelle & Charles-Albert Lehalle & Gilles Pag\`es, 2009. "Optimal split of orders across liquidity pools: a stochastic algorithm approach," Papers 0910.1166, arXiv.org, revised May 2010.
- Foucault, Thierry & Menkveld, Albert J., 2006.
"Competition for Order Flow and Smart Order Routing Systems,"
CEPR Discussion Papers
5523, C.E.P.R. Discussion Papers.
- Thierry Foucault & Albert J. Menkveld, 2008. "Competition for Order Flow and Smart Order Routing Systems," Journal of Finance, American Finance Association, vol. 63(1), pages 119-158, 02.
- Foucault, Thierry & Menkveld, Albert, 2006. "Competition for order flow and smart order routing systems," Les Cahiers de Recherche 831, HEC Paris.
- Aurelien Alfonsi & Antje Fruth & Alexander Schied, 2010. "Optimal execution strategies in limit order books with general shape functions," Quantitative Finance, Taylor & Francis Journals, vol. 10(2), pages 143-157.
- Anna Obizhaeva & Jiang Wang, 2005. "Optimal Trading Strategy and Supply/Demand Dynamics," NBER Working Papers 11444, National Bureau of Economic Research, Inc.
- Fabien Guilbaud & Huy\^en Pham, 2012. "Optimal High Frequency Trading in a Pro-Rata Microstructure with Predictive Information," Papers 1205.3051, arXiv.org.
- Fabien Guilbaud & Huyên Pham, 2012. "Optimal High Frequency Trading in a Pro-Rata Microstructure with Predictive Information," Working Papers hal-00697125, HAL.
- Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April.
- Erhan Bayraktar & Michael Ludkovski, 2011. "Liquidation in Limit Order Books with Controlled Intensity," Papers 1105.0247, arXiv.org, revised Jan 2012.
- Aur\'elien Alfonsi & Antje Fruth & Alexander Schied, 2007. "Optimal execution strategies in limit order books with general shape functions," Papers 0708.1756, arXiv.org, revised Feb 2010.
- Olivier Gu\'eant & Charles-Albert Lehalle, 2012. "General Intensity Shapes in Optimal Liquidation," Papers 1204.0148, arXiv.org, revised Jun 2013.
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