Calibration of optimal execution of financial transactions in the presence of transient market impact
Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution strategy strongly depends on a careful modeling of market impact, i.e. how the price reacts to trades. In this paper we consider a recently introduced market impact model (Bouchaud et al., 2004), which has the property of describing both the volume and the temporal dependence of price change due to trading. We show how this model can be used to describe price impact also in aggregated trade time or in real time. We then solve analytically and calibrate with real data the optimal execution problem both for risk neutral and for risk averse investors and we derive an efficient frontier of optimal execution. When we include spread costs the problem must be solved numerically and we show that the introduction of such costs regularizes the solution.
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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.:
- 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.
- Marc Potters & Jean-Philippe Bouchaud, 2002. "More statistical properties of order books and price impact," Science & Finance (CFM) working paper archive 0210710, Science & Finance, Capital Fund Management.
- Jean-Philippe Bouchaud & Yuval Gefen & Marc Potters & Matthieu Wyart, 2003.
"Fluctuations and response in financial markets: the subtle nature of `random' price changes,"
cond-mat/0307332, arXiv.org, revised Aug 2003.
- Jean-Philippe Bouchaud & Yuval Gefen & Marc Potters & Matthieu Wyart, 2003. "Fluctuations and response in financial markets: the subtle nature of `random' price changes," Science & Finance (CFM) working paper archive 0307332, Science & Finance, Capital Fund Management.
- Potters, Marc & Bouchaud, Jean-Philippe, 2003. "More statistical properties of order books and price impact," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 133-140.
- Lee, Charles M C & Ready, Mark J, 1991. " Inferring Trade Direction from Intraday Data," Journal of Finance, American Finance Association, vol. 46(2), pages 733-46, June.
- Brodie, Joshua & Daubechies, Ingrid & De Mol, Christine & Giannone, Domenico, 2007.
"Sparse and Stable Markowitz Portfolios,"
CEPR Discussion Papers
6474, C.E.P.R. Discussion Papers.
- Joshua Brodie & Ingrid Daubechies & Christine De Mol & Domenico Giannone & Ignace Loris, 2007. "Sparse and stable Markowitz portfolios," Papers 0708.0046, arXiv.org, revised May 2008.
- Brodie, Joshua & Daubechies, Ingrid & De Mol, Christine & Giannone, Domenico & Loris, Ignace, 2008. "Sparse and stable Markowitz portfolios," Working Paper Series 0936, European Central Bank.
- Jean-Philippe Bouchaud & Julien Kockelkoren & Marc Potters, 2004.
"Random walks, liquidity molasses and critical response in financial markets,"
Science & Finance (CFM) working paper archive
500063, Science & Finance, Capital Fund Management.
- Jean-Philippe Bouchaud & Julien Kockelkoren & Marc Potters, 2006. "Random walks, liquidity molasses and critical response in financial markets," Quantitative Finance, Taylor & Francis Journals, vol. 6(2), pages 115-123.
- J. -P. Bouchaud & J. Kockelkoren & M. Potters, 2004. "Random walks, liquidity molasses and critical response in financial markets," Papers cond-mat/0406224, arXiv.org, revised Jun 2004.
- J. Doyne Farmer & Laszlo Gillemot & Fabrizio Lillo & Szabolcs Mike & Anindya Sen, 2003.
"What really causes large price changes?,"
cond-mat/0312703, arXiv.org, revised Apr 2004.
- Jean-Philippe Bouchaud & J. Doyne Farmer & Fabrizio Lillo, 2008. "How markets slowly digest changes in supply and demand," Papers 0809.0822, arXiv.org.
- Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April.
- Fabrizio Lillo & J. Doyne Farmer, 2003.
"The long memory of the efficient market,"
cond-mat/0311053, arXiv.org, revised Jul 2004.
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