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We investigate the optimal execution of contracts that are used in merger\&acquisition deals. We consider cash-settled and physically delivered contracts between a broker and a counterpart. Contracts are linear (total returns swaps),…

Mathematical Finance · Quantitative Finance 2026-04-24 Emilio Barucci , Yuheng Lan , Daniele Marazzina

We analyze a continuous-time optimal trade execution problem in multiple assets where the price impact and the resilience can be matrix-valued stochastic processes that incorporate cross-impact effects. In addition, we allow for stochastic…

Optimization and Control · Mathematics 2026-03-26 Julia Ackermann , Thomas Kruse , Mikhail Urusov

We examine optimal execution models that take into account both market microstructure impact and informational costs. Informational footprint is related to order flow and is represented by the trader's influence on the flow imbalance…

Trading and Market Microstructure · Quantitative Finance 2014-10-21 Kyle Bechler , Mike Ludkovski

Portfolio managers' orders trade off return and trading cost predictions. Return predictions rely on alpha models, whereas price impact models quantify trading costs. This paper studies what happens when trades are based on an incorrect…

Trading and Market Microstructure · Quantitative Finance 2023-06-02 Natascha Hey , Jean-Philippe Bouchaud , Iacopo Mastromatteo , Johannes Muhle-Karbe , Kevin Webster

We analyze a proprietary dataset of trades by a single asset manager, comparing their price impact with that of the trades of the rest of the market. In the context of a linear propagator model we find no significant difference between the…

Trading and Market Microstructure · Quantitative Finance 2018-01-03 Bence Toth , Zoltan Eisler , Jean-Philippe Bouchaud

This paper introduces a high frequency trade execution model to evaluate the economic impact of supervised machine learners. Extending the concept of a confusion matrix, we present a 'trade information matrix' to attribute the expected…

Trading and Market Microstructure · Quantitative Finance 2017-12-06 Matthew F Dixon

We define the concept of good trade execution and we construct explicit adapted good trade execution strategies in the framework of linear temporary market impact. Good trade execution strategies are dynamic, in the sense that they react to…

Trading and Market Microstructure · Quantitative Finance 2020-07-09 Claudio Bellani , Damiano Brigo

We theoretically and empirically study portfolio optimization under transaction costs and establish a link between turnover penalization and covariance shrinkage with the penalization governed by transaction costs. We show how the ex ante…

Portfolio Management · Quantitative Finance 2020-03-26 Nikolaus Hautsch , Stefan Voigt

Trading algorithms that execute large orders are susceptible to exploitation by order anticipation strategies. This paper studies the influence of order anticipation strategies in a multi-investor model of optimal execution under transient…

Trading and Market Microstructure · Quantitative Finance 2019-03-12 Elias Strehle

We consider a model in which a trader aims to maximize expected risk-adjusted profit while trading a single security. In our model, each price change is a linear combination of observed factors, impact resulting from the trader's current…

Trading and Market Microstructure · Quantitative Finance 2012-07-30 Beomsoo Park , Benjamin Van Roy

The impact of trades on asset prices is a crucial aspect of market dynamics for academics, regulators and practitioners alike. Recently, universal and highly nonlinear master curves were observed for price impacts aggregated on all…

Trading and Market Microstructure · Quantitative Finance 2018-01-17 Felix Patzelt , Jean-Philippe Bouchaud

Executing a basket of co-integrated assets is an important task facing investors. Here, we show how to do this accounting for the informational advantage gained from assets within and outside the basket, as well as for the permanent price…

Trading and Market Microstructure · Quantitative Finance 2018-07-05 Alvaro Cartea , Luhui Gan , Sebastian Jaimungal

An investor trades a safe and several risky assets with linear price impact to maximize expected utility from terminal wealth. In the limit for small impact costs, we explicitly determine the optimal policy and welfare, in a general…

Portfolio Management · Quantitative Finance 2015-03-31 Ludovic Moreau , Johannes Muhle-Karbe , H. Mete Soner

We discuss investment allocation to multiple alpha streams traded on the same execution platform with internal crossing of trades and point out differences with allocating investment when alpha streams are traded on separate execution…

Portfolio Management · Quantitative Finance 2015-02-24 Zura Kakushadze

We reconsider the multivariate Kyle model in a risk-neutral setting with a single, perfectly informed rational insider and a rational competitive market maker, setting the price of n correlated securities. We prove the unicity of a…

Trading and Market Microstructure · Quantitative Finance 2018-12-21 Luis Carlos García del Molino , Iacopo Mastromatteo , Michael Benzaquen , Jean-Philippe Bouchaud

We consider the learning dynamics of a single reinforcement learning optimal execution trading agent when it interacts with an event driven agent-based financial market model. Trading takes place asynchronously through a matching engine in…

Trading and Market Microstructure · Quantitative Finance 2023-11-23 Matthew Dicks , Andrew Paskaramoorthy , Tim Gebbie

We show that filling an order with a large number of distinct counterparts incurs additional market impact, as opposed to filling the order with a small number of counterparts. For best execution, therefore, it may be beneficial to…

Trading and Market Microstructure · Quantitative Finance 2020-12-21 Ilija I. Zovko

We consider an offline learning problem for an agent who first estimates an unknown price impact kernel from a static dataset, and then designs strategies to liquidate a risky asset while creating transient price impact. We propose a novel…

Optimization and Control · Mathematics 2023-09-07 Eyal Neuman , Wolfgang Stockinger , Yufei Zhang

We present a perturbation theory of the market impact based on an extension of the framework proposed by [Loeper, 2018] -- originally based on [Liu and Yong, 2005] -- in which we consider only local linear market impact. We study the…

Trading and Market Microstructure · Quantitative Finance 2019-11-05 Emilio Said

This paper develops a model for option market making in which the hedging activity of the market maker generates price impact on the underlying asset. The option order flow is modeled by Cox processes, with intensities depending on the…

Trading and Market Microstructure · Quantitative Finance 2026-04-30 Paulin Aubert , Etienne Chevalier , Vathana Ly Vath