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Related papers: Optimal Trade Execution in Illiquid Markets

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We consider an optimal investment problem to maximize expected utility of the terminal wealth, in an illiquid market with search frictions and transaction costs. In the market model, an investor's attempt of transaction is successful only…

Mathematical Finance · Quantitative Finance 2021-08-18 Jin Hyuk Choi , Tae Ung Gang

Optimal execution of portfolio transactions is the essential part of algorithmic trading. In this paper we present in simple analytical form the optimal trajectory for risk-averse trader with the assumption of exponential market recovery…

Trading and Market Microstructure · Quantitative Finance 2013-09-27 Igor Skachkov

We propose a framework for studying optimal market making policies in a limit order book (LOB). The bid-ask spread of the LOB is modelled by a Markov chain with finite values, multiple of the tick size, and subordinated by the Poisson…

Trading and Market Microstructure · Quantitative Finance 2011-06-29 Fabien Guilbaud , Huyen Pham

This study investigates the development of an optimal execution strategy through reinforcement learning, aiming to determine the most effective approach for traders to buy and sell inventory within a finite time horizon. Our proposed model…

Trading and Market Microstructure · Quantitative Finance 2025-11-04 Yadh Hafsi , Edoardo Vittori

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…

Trading and Market Microstructure · Quantitative Finance 2020-07-17 David Marcos

In this paper we explore optimal liquidation in a market populated by a number of heterogeneous market makers that have limited inventory-carrying and risk-bearing capacity. We derive a reduced form model for the dynamic of their aggregated…

Trading and Market Microstructure · Quantitative Finance 2022-09-01 Marina Di Giacinto , Claudio Tebaldi , Tai-Ho Wang

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 study an optimal execution problem in illiquid markets with both instantaneous and persistent price impact and stochastic resilience when only absolutely continuous trading strategies are admissible. In our model the value function can…

Optimization and Control · Mathematics 2017-11-30 Paulwin Graewe , Ulrich Horst

This paper addresses the optimal scheduling of the liquidation of a portfolio using a new angle. Instead of focusing only on the scheduling aspect like Almgren and Chriss, or only on the liquidity-consuming orders like Obizhaeva and Wang,…

Trading and Market Microstructure · Quantitative Finance 2013-04-05 Olivier Guéant , Charles-Albert Lehalle , Joaquin Fernandez Tapia

This paper considers the problem of optimal liquidation of a position in a risky security in a financial market, where price evolution are risky and trades have an impact on price as well as uncertainty in the filling orders. The problem is…

Mathematical Finance · Quantitative Finance 2019-07-16 Xue Cheng , Marina Di Giacinto , Tai-Ho Wang

When executing their orders, investors are proposed different strategies by brokers and investment banks. Most orders are executed using VWAP algorithms. Other basic execution strategies include POV (also called PVol) -- for percentage of…

Trading and Market Microstructure · Quantitative Finance 2013-12-04 Olivier Guéant

An agent holds a position in a perpetual contract with payoff function $\psi$ and attempts to liquidate the position while managing transaction costs, inventory risk, and funding rate payments. By solving the agent's stochastic control…

Mathematical Finance · Quantitative Finance 2026-01-19 Ryan Donnelly , Junhan Lin , Matthew Lorig

We present a method for obtaining approximate solutions to the problem of optimal execution, based on a signature method. The framework is general, only requiring that the price process is a geometric rough path and the price impact…

Computational Finance · Quantitative Finance 2019-05-03 Jasdeep Kalsi , Terry Lyons , Imanol Perez Arribas

We analyze an optimal trade execution problem in a financial market with stochastic liquidity. To this end we set up a limit order book model in continuous time. Both order book depth and resilience are allowed to evolve randomly in time.…

Probability · Mathematics 2021-07-27 Julia Ackermann , Thomas Kruse , Mikhail Urusov

This paper studies four trading algorithms of a professional trader at a multilateral trading facility, observing a realistic two-sided limit order book whose dynamics are driven by the order book events. The identity of the trader can be…

Trading and Market Microstructure · Quantitative Finance 2015-01-13 Qinghua Li

We consider an agent who needs to buy (or sell) a relatively small amount of asset over some fixed short time interval. We work at the highest frequency meaning that we wish to find the optimal tactic to execute our quantity using limit…

Trading and Market Microstructure · Quantitative Finance 2018-03-16 Charles-Albert Lehalle , Othmane Mounjid , Mathieu Rosenbaum

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

This paper investigates the impact of anonymous trading on the agents' strategy in an optimal execution framework. It mainly explores the specificity of order attribution on the Toronto Stock Exchange, where brokers can choose to either…

Mathematical Finance · Quantitative Finance 2022-10-11 Rene Carmona , Claire Zeng

We devise an optimal allocation strategy for the execution of a predefined number of stocks in a given time frame using the technique of discrete-time Stochastic Control Theory for a defined market model. This market structure allows an…

Mathematical Finance · Quantitative Finance 2019-09-25 Akshay Bansal , Diganta Mukherjee

We compare optimal static and dynamic solutions in trade execution. An optimal trade execution problem is considered where a trader is looking at a short-term price predictive signal while trading. When the trader creates an instantaneous…

Trading and Market Microstructure · Quantitative Finance 2019-07-23 Claudio Bellani , Damiano Brigo , Alex Done , Eyal Neuman