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22 - Dynamical Models of Market Impact and Algorithms for Order Execution

from PART VII - ALGORITHMIC TRADING

Published online by Cambridge University Press:  05 June 2013

Jim Gatheral
Affiliation:
Baruch College
Alexander Schied
Affiliation:
University of Mannheim
Jean-Pierre Fouque
Affiliation:
University of California, Santa Barbara
Joseph A. Langsam
Affiliation:
University of Maryland, College Park
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Summary

Abstract In this chapter, we review recent work on the regularity of dynamical market impact models and their associated optimal order execution strategies. In particular, we address the question of the stability and existence of optimal strategies, showing that in a large class of models, there is price manipulation and no well-behaved optimal order execution strategy. We also address issues arising from the use of dark pools and predatory trading.

Introduction

Market impact refers to the fact that the execution of a large order influences the price of the underlying asset. Usually, this influence results in an adverse effect creating additional execution costs for the investor who is executing the trade. In some cases, however, generating market impact can also be the primary goal, e.g., when certain central banks buy government bonds in an attempt to lower the corresponding interest rates.

Understanding market impact and optimizing trading strategies to minimize market impact has long been an important goal for large investors. There is typically insufficient liquidity to permit immediate execution of large orders without eating into the limit order book. Thus, to minimize the cost of trading, large trades are split into a sequence of smaller trades, which are then spread out over a certain time interval.

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