No-dynamic-arbitrage and market impact
AbstractStarting from a no-dynamic-arbitrage principle that imposes that trading costs should be non-negative on average and a simple model for the evolution of market prices, we demonstrate a relationship between the shape of the market impact function describing the average response of the market price to traded quantity and the function that describes the decay of market impact. In particular, we show that the widely assumed exponential decay of market impact is compatible only with linear market impact. We derive various inequalities relating the typical shape of the observed market impact function to the decay of market impact, noting that, empirically, these inequalities are typically close to being equalities.
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Bibliographic InfoArticle provided by Taylor & Francis Journals in its journal Quantitative Finance.
Volume (Year): 10 (2010)
Issue (Month): 7 ()
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Web page: http://www.tandfonline.com/RQUF20
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- Víctor de Miguel & Xiaoling Mei & Francisco J. Nogales, 2013. "Multiperiod portfolio selection with transaction and market-impact costs," Statistics and Econometrics Working Papers ws131615, Universidad Carlos III, Departamento de Estadística y Econometría.
- Alexander Schied & Tao Zhang, 2013. "A hot-potato game under transient price impact and some effects of a transaction tax," Papers 1305.4013, arXiv.org, revised Sep 2013.
- Olivier Gu\'eant, 2013. "Permanent market impact can be nonlinear," Papers 1305.0413, arXiv.org, revised May 2013.
- Rossella Agliardi & Ramazan Gençay, 2012. "Hedging through a Limit Order Book with Varying Liquidity," Working Paper Series 12_12, The Rimini Centre for Economic Analysis.
- Takashi Kato, 2011. "An Optimal Execution Problem in Geometric Ornstein-Uhlenbeck Price Process," Papers 1107.1787, arXiv.org, revised May 2012.
- Aur\'elien Alfonsi & Alexander Schied & Florian Kl\"ock, 2013. "Multivariate transient price impact and matrix-valued positive definite functions," Papers 1310.4471, arXiv.org, revised Oct 2013.
- Olivier Gu\'eant, 2012. "Optimal execution and block trade pricing: a general framework," Papers 1210.6372, arXiv.org, revised Jul 2013.
- Hans F\"ollmer & Alexander Schied, 2013. "Probabilistic aspects of finance," Papers 1309.7759, arXiv.org.
- Antje Fruth & Torsten Schoeneborn & Mikhail Urusov, 2011. "Optimal trade execution and price manipulation in order books with time-varying liquidity," Papers 1109.2631, arXiv.org.
- Olivier Gu\'eant & Charles-Albert Lehalle, 2012. "General Intensity Shapes in Optimal Liquidation," Papers 1204.0148, arXiv.org, revised Jun 2013.
- Charles-Albert Lehalle, 2013. "Market Microstructure Knowledge Needed for Controlling an Intra-Day Trading Process," Papers 1302.4592, arXiv.org.
- E. Bacry & J. F Muzy, 2013. "Hawkes model for price and trades high-frequency dynamics," Papers 1301.1135, arXiv.org.
- Aim\'e Lachapelle & Jean-Michel Lasry & Charles-Albert Lehalle & Pierre-Louis Lions, 2013. "Efficiency of the Price Formation Process in Presence of High Frequency Participants: a Mean Field Game analysis," Papers 1305.6323, arXiv.org, revised Sep 2013.
- Florian Kl\"ock & Alexander Schied & Yuemeng Sun, 2012. "Price manipulation in a market impact model with dark pool," Papers 1205.4008, arXiv.org, revised Jan 2014.
- Thibault Jaisson, 2014. "Market impact as anticipation of the order flow imbalance," Papers 1402.1288, arXiv.org.
- Nico Achtsis & Dirk Nuyens, 2013. "A Monte Carlo method for optimal portfolio executions," Papers 1312.5919, arXiv.org.
- Aur\'elien Alfonsi & Jos\'e Infante Acevedo, 2012. "Optimal execution and price manipulations in time-varying limit order books," Papers 1204.2736, arXiv.org.
- Aurélien Alfonsi & José Infante Acevedo, 2012. "Optimal execution and price manipulations in time-varying limit order books," Working Papers hal-00687193, HAL.
- Weibing Huang & Charles-Albert Lehalle & Mathieu Rosenbaum, 2013. "Simulating and analyzing order book data: The queue-reactive model," Papers 1312.0563, arXiv.org.
- Olivier Gu\'eant, 2012. "Execution and block trade pricing with optimal constant rate of participation," Papers 1210.7608, arXiv.org, revised Dec 2013.
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