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  • Cited by 3
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    This chapter has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Schied, Alexander and Zhang, Tao 2017. A STATE-CONSTRAINED DIFFERENTIAL GAME ARISING IN OPTIMAL PORTFOLIO LIQUIDATION. Mathematical Finance, Vol. 27, Issue. 3, p. 779.

    Klöck, Florian Schied, Alexander and Sun, Yuemeng 2017. Price manipulation in a market impact model with dark pool. Applied Mathematical Finance, Vol. 24, Issue. 5, p. 417.

    Abergel, Frédéric Lehalle, Charles-Albert and Rosenbaum, Mathieu 2014. Understanding the Stakes of High-Frequency Trading. The Journal of Trading, Vol. 9, Issue. 4, p. 49.

  • Print publication year: 2013
  • Online publication date: June 2013

21 - Market Microstructure Knowledge Needed for Controlling an Intra-Day Trading Process


Abstract A great deal of academic and theoretical work has been dedicated to optimal liquidation of large orders these last twenty years. The optimal split of an order through time (‘optimal trade scheduling’) and space (‘smart order routing’) is of high interest to practitioners because of the increasing complexity of the market micro structure because of the evolution recently of regulations and liquidity worldwide. This chapter translates into quantitative terms these regulatory issues and, more broadly, current market design.

It relates the recent advances in optimal trading, order-book simulation and optimal liquidity to the reality of trading in an emerging global network of liquidity.

Market microstructure modeling and payoff understanding are key elements of quantitative trading

As is well known, optimal (or quantitative) trading is about finding the proper balance between providing liquidity in order to minimize the impact of the trades, and consuming liquidity in order to minimize the market risk exposure, while taking profit through potentially instantaneous trading signals, supposed to be triggered by liquidity inefficiencies.

The mathematical framework required to solve this kind of optimization problem needs:

a model of the consequences of the different ways of interacting with liquidity (such as the market impact model (Almgren et al., 2005; Wyart et al., 2008; Gatheral, 2010));

a proxy for the ‘market risk’ (the most natural of them being the high frequency volatility (Aït-Sahalia and Jacod, 2007; Zhang et al., 2005; Robert and Rosenbaum, 2011));

and a model for quantifying the likelihood of the liquidity state of the market (Bacry et al., 2009; Cont et al., 2010).

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