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Optimal trading of algorithmic orders in a liquidity fragmented market place

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  • Miles Kumaresan
  • Nataša Krejić

Abstract

An optimization model for the execution of algorithmic orders at multiple trading venues is herein proposed and analyzed. The optimal trajectory consists of both market and limit orders, and takes advantage of any price or liquidity improvement in a particular market. The complexity of a multi-market environment poses a bi-level nonlinear optimization problem. The lower-level problem admits a unique solution thus enabling the second order conditions to be satisfied under a set of reasonable assumptions. The model is computationally affordable and solvable using standard software packages. The simulation results presented in the paper show the model’s effectiveness using real trade data. From the outset, great effort was made to ensure that this was a challenging practical problem which also had a direct real world application. To be able to estimate in realtime the probability of fill for tens of thousands of orders at multiple price levels in a liquidity fragmented market place and finally carry out an optimization procedure to find the most optimal order placement solution is a significant computational breakthrough. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Miles Kumaresan & Nataša Krejić, 2015. "Optimal trading of algorithmic orders in a liquidity fragmented market place," Annals of Operations Research, Springer, vol. 229(1), pages 521-540, June.
    • Handle: RePEc:spr:annopr:v:229:y:2015:i:1:p:521-540:10.1007/s10479-015-1815-7
    DOI: 10.1007/s10479-015-1815-7
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    References listed on IDEAS

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    1. Foucault, Thierry, 1998. "Order Flow Composition and Trading Costs in Dynamic Limit Order Markets," CEPR Discussion Papers 1817, C.E.P.R. Discussion Papers.
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    5. Miles Kumaresan & Nataša Krejić, 2010. "A model for optimal execution of atomic orders," Computational Optimization and Applications, Springer, vol. 46(2), pages 369-389, June.
    6. 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.
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    Cited by:

    1. Viktor Manahov, 2018. "The rise of the machines in commodities markets: new evidence obtained using Strongly Typed Genetic Programming," Annals of Operations Research, Springer, vol. 260(1), pages 321-352, January.

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