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Related papers: Auto-Regressive Control of Execution Costs

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We consider a broker who has to place a large order which consumes a sizable part of average daily trading volume. The broker's aim is thus to minimize execution costs he incurs from the adverse impact of his trades on market prices. By…

Trading and Market Microstructure · Quantitative Finance 2013-10-14 Peter Bank , Antje Fruth

We present a cross-market algorithmic trading system that balances execution quality with rigorous compliance enforcement. The architecture comprises a high-level planner, a reinforcement learning execution agent, and an independent…

Artificial Intelligence · Computer Science 2025-10-08 Ailiya Borjigin , Cong He

Optimal Order Execution is a well-established problem in finance that pertains to the flawless execution of a trade (buy or sell) for a given volume within a specified time frame. This problem revolves around optimizing returns while…

Computational Finance · Quantitative Finance 2026-01-13 Khabbab Zakaria , Jayapaulraj Jerinsh , Andreas Maier , Patrick Krauss , Stefano Pasquali , Dhagash Mehta

We consider a stochastic lost-sales inventory control system with a lead time $L$ over a planning horizon $T$. Supply is uncertain, and is a function of the order quantity (due to random yield/capacity, etc). We aim to minimize the…

Optimization and Control · Mathematics 2023-11-01 Boxiao Chen , Jiashuo Jiang , Jiawei Zhang , Zhengyuan Zhou

We develop two Regression Monte Carlo algorithms (value and performance iteration) to solve general problems of optimal stochastic control of discrete-time Markov processes. We formulate our method within an innovative framework that allow…

Optimization and Control · Mathematics 2017-12-29 Alessandro Balata , Jan Palczewski

We demonstrate an application of risk-sensitive reinforcement learning to optimizing execution in limit order book markets. We represent taking order execution decisions based on limit order book knowledge by a Markov Decision Process; and…

Trading and Market Microstructure · Quantitative Finance 2021-01-07 Svitlana Vyetrenko , Shaojie Xu

We study a single risky financial asset model subject to price impact and transaction cost over an infinite horizon. An investor needs to execute a long position in the asset affecting the price of the asset and possibly incurring in fixed…

Trading and Market Microstructure · Quantitative Finance 2014-09-19 Mauricio Junca

In the present paper, we study the optimal execution problem under stochastic price recovery based on limit order book dynamics. We model price recovery after execution of a large order by accelerating the arrival of the refilling order,…

Trading and Market Microstructure · Quantitative Finance 2015-02-17 Masashi Ieda

Bayesian optimization (BO) is a sample-efficient approach to optimizing costly-to-evaluate black-box functions. Most BO methods ignore how evaluation costs may vary over the optimization domain. However, these costs can be highly…

Machine Learning · Computer Science 2021-11-15 Raul Astudillo , Daniel R. Jiang , Maximilian Balandat , Eytan Bakshy , Peter I. Frazier

In the context of the linear programming (LP) approach to data-driven control, one assumes that the dynamical system is unknown but can be observed indirectly through data on its evolution. Both theoretical and empirical evidence suggest…

Optimization and Control · Mathematics 2021-09-28 Andrea Martinelli , Matilde Gargiani , John Lygeros

Optimized trade execution is to sell (or buy) a given amount of assets in a given time with the lowest possible trading cost. Recently, reinforcement learning (RL) has been applied to optimized trade execution to learn smarter policies from…

Trading and Market Microstructure · Quantitative Finance 2023-07-24 Chuheng Zhang , Yitong Duan , Xiaoyu Chen , Jianyu Chen , Jian Li , Li Zhao

The efficient market hypothesis (EMH) famously stated that prices fully reflect the information available to traders. This critically depends on the transfer of information into prices through trading strategies. Traders optimise their…

Mathematical Finance · Quantitative Finance 2025-01-14 Paolo Barucca , Flaviano Morone

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…

Trading and Market Microstructure · Quantitative Finance 2015-06-05 Enzo Busseti , Fabrizio Lillo

Over the past decade, many dealers have implemented algorithmic models to automatically respond to RFQs and manage flows originating from their electronic platforms. In parallel, building on the foundational work of Ho and Stoll, and later…

Trading and Market Microstructure · Quantitative Finance 2025-11-18 Alexander Barzykin , Philippe Bergault , Olivier Guéant , Malo Lemmel

We study a single risky financial asset model subject to price impact and transaction cost over an finite time horizon. An investor needs to execute a long position in the asset affecting the price of the asset and possibly incurring in…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Mauricio Junca

Solving Partially Observable Markov Decision Processes (POMDPs) is hard. Learning optimal controllers for POMDPs when the model is unknown is harder. Online learning of optimal controllers for unknown POMDPs, which requires efficient…

Machine Learning · Computer Science 2021-06-16 Mehdi Jafarnia-Jahromi , Rahul Jain , Ashutosh Nayyar

In a fixed time horizon, appropriately executing a large amount of a particular asset -- meaning a considerable portion of the volume traded within this frame -- is challenging. Especially for illiquid or even highly liquid but also highly…

Mathematical Finance · Quantitative Finance 2023-08-15 David Evangelista , Yuri Thamsten

Optimal order execution is widely studied by industry practitioners and academic researchers because it determines the profitability of investment decisions and high-level trading strategies, particularly those involving large volumes of…

Trading and Market Microstructure · Quantitative Finance 2020-09-15 Michaël Karpe , Jin Fang , Zhongyao Ma , Chen Wang

This paper studies oligopolistic irreversible investment with closed-loop strategies. These permit fully dynamic interactions that result in much richer strategic behavior than previous studies with open-loop strategies allow. The tradeoff…

Theoretical Economics · Economics 2024-10-24 Jan-Henrik Steg

Finding Bertram's optimal trading strategy for a pair of cointegrated assets following the Ornstein--Uhlenbeck price difference process can be formulated as an unconstrained convex optimization problem for maximization of expected profit…

Mathematical Finance · Quantitative Finance 2022-11-23 Vladimír Holý , Michal Černý