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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…

交易与市场微观结构 · 定量金融 2015-06-05 Enzo Busseti , Fabrizio Lillo

We study the optimal order placement strategy with the presence of a liquidity cost. In this problem, a stock trader wishes to clear her large inventory by a predetermined time horizon $T$. A trader uses both limit and market orders, and a…

计算金融 · 定量金融 2020-04-24 Hyoeun Lee , Kiseop Lee

This paper develops a unified explicit solution theory for optimal execution through sequential limit-order placement in a limit order book. Rather than controlling only the trading speed of a metaorder, we determine how individual limit…

交易与市场微观结构 · 定量金融 2026-05-26 Fenghui Yu

We propose a framework to study optimal trading policies in a one-tick pro-rata limit order book, as typically arises in short-term interest rate futures contracts. The high-frequency trader has the choice to trade via market orders or…

交易与市场微观结构 · 定量金融 2012-05-15 Fabien Guilbaud , Huyên Pham

We consider the problem of the optimal trading strategy in the presence of linear costs, and with a strict cap on the allowed position in the market. Using Bellman's backward recursion method, we show that the optimal strategy is to switch…

投资组合管理 · 定量金融 2012-03-28 Joachim de Lataillade , Cyril Deremble , Marc Potters , Jean-Philippe Bouchaud

In the present work we develop a formalism to tackle the problem of optimal execution when trading market securities. More precisely, we introduce a utility function that balances market impact and timing risk, with this last being modelled…

交易与市场微观结构 · 定量金融 2020-07-17 David Marcos

We model the trading activity between a broker and her clients (informed and uninformed traders) as an infinite-horizon stochastic control problem. We derive the broker's optimal dealing strategy in closed form and use this to introduce an…

交易与市场微观结构 · 定量金融 2025-03-25 Álvaro Cartea , Leandro Sánchez-Betancourt

We consider the optimal trade execution strategies for a large portfolio of single stocks proposed by Almgren (2003). This framework accounts for a nonlinear impact of trades on average market prices. The results of Almgren (2003) are based…

交易与市场微观结构 · 定量金融 2011-11-30 Massimiliano Marzo , Daniele Ritelli , Paolo Zagaglia

Minimizing execution costs for large orders is a fundamental challenge in finance. Firms often depend on brokers to manage their trades due to limited internal resources for optimizing trading strategies. This paper presents a methodology…

交易与市场微观结构 · 定量金融 2024-06-05 Zoltan Eisler , Johannes Muhle-Karbe

We study optimal liquidation strategies under partial information for a single asset within a finite time horizon. We propose a model tailored for high-frequency trading, capturing price formation driven solely by order flow through…

数理金融 · 定量金融 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

A hypothetical risk-neutral agent who trades to maximize the expected profit of the next trade will approximately exhibit long-term optimal behavior as long as this agent uses the vector $p = \nabla V (t, x)$ as effective microstructure…

交易与市场微观结构 · 定量金融 2020-12-25 Bastien Baldacci , Jerome Benveniste , Gordon Ritter

The problem of order execution is cast as a relative entropy-regularized robust optimal control problem in this article. The order execution agent's goal is to maximize an objective functional associated with his profit-and-loss of trading…

最优化与控制 · 数学 2024-09-11 Meng Wang , Tai-Ho Wang

We study the problem of optimal trading using general alpha predictors with linear costs and temporary impact. We do this within the framework of stochastic optimization with finite horizon using both limit and market orders. Consistently…

交易与市场微观结构 · 定量金融 2015-01-19 Filippo Passerini , Samuel E. Vazquez

In this work we study the optimal execution problem with multiplicative price impact in algorithm trading, when an agent holds an initial position of shares of a financial asset. The inter-selling-decision times are modelled by the arrival…

数理金融 · 定量金融 2018-05-04 Daniel Hernández-Hernández , Harold A. Moreno-Franco , José Luis Pérez

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,…

交易与市场微观结构 · 定量金融 2015-02-17 Masashi Ieda

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…

交易与市场微观结构 · 定量金融 2023-07-24 Chuheng Zhang , Yitong Duan , Xiaoyu Chen , Jianyu Chen , Jian Li , Li Zhao

In this article, we develop a modular framework for the application of Reinforcement Learning to the problem of Optimal Trade Execution. The framework is designed with flexibility in mind, in order to ease the implementation of different…

计算工程、金融与科学 · 计算机科学 2022-08-15 Fernando de Meer Pardo , Christoph Auth , Florin Dascalu

The classical literature on optimal liquidation, rooted in Almgren-Chriss models, tackles the optimal liquidation problem using a trade-off between market impact and price risk. Therefore, it only answers the general question of the optimal…

交易与市场微观结构 · 定量金融 2013-06-18 Olivier Guéant , Charles-Albert Lehalle

Market participants regularly send bid and ask quotes to exchange-operated limit order books. This creates an optimization challenge where their potential profit is determined by their quoted price and how often their orders are…

数理金融 · 定量金融 2025-04-16 Chutian Ma , Giacinto Paolo Saggese , Paul Smith

We study an optimal execution strategy for purchasing a large block of shares over a fixed time horizon. The execution problem is subject to a general price impact that gradually dissipates due to market resilience. We allow for general…

数理金融 · 定量金融 2026-04-14 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath , Sergio Pulido