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We present a deep long short-term memory (LSTM)-based neural network for predicting asset prices, together with a successful trading strategy for generating profits based on the model's predictions. Our work is motivated by the fact that…

Statistical Finance · Quantitative Finance 2019-05-09 Chariton Chalvatzis , Dimitrios Hristu-Varsakelis

The volume weighted average price (VWAP) execution strategy is well known and widely used in practice. In this study, we explicitly introduce a trading volume process into the Almgren-Chriss model, which is a standard model for optimal…

Trading and Market Microstructure · Quantitative Finance 2017-02-01 Takashi Kato

We introduce a practical, interactive simulator of the limit order book for large-tick assets, designed to produce realistic execution, costs, and P&L. The book state is projected onto a tractable representation based on spread and volume…

Trading and Market Microstructure · Quantitative Finance 2026-03-26 Patrick Noble , Mathieu Rosenbaum , Saad Souilmi

In this study, we introduce an explicit trading-volume process into the Almgren-Chriss model, which is a standard model for optimal execution. We propose a penalization method for deriving a verification theorem for an adaptive optimization…

Trading and Market Microstructure · Quantitative Finance 2017-08-25 Takashi Kato

The stock market prediction has always been crucial for stakeholders, traders and investors. We developed an ensemble Long Short Term Memory (LSTM) model that includes two-time frequencies (annual and daily parameters) in order to predict…

Statistical Finance · Quantitative Finance 2020-01-13 Zineb Lanbouri , Saaid Achchab

In the seminal paper on optimal execution of portfolio transactions, Almgren and Chriss (2001) define the optimal trading strategy to liquidate a fixed volume of a single security under price uncertainty. Yet there exist situations, such as…

Trading and Market Microstructure · Quantitative Finance 2022-12-06 Julien Vaes , Raphael Hauser

In a recent paper, Alfonsi, Fruth and Schied (AFS) propose a simple order book based model for the impact of large orders on stock prices. They use this model to derive optimal strategies for the execution of large orders. We apply these…

Trading and Market Microstructure · Quantitative Finance 2010-01-11 Alexander Weiss

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…

Computational Finance · Quantitative Finance 2020-04-24 Hyoeun Lee , Kiseop Lee

Liquidation is the process of selling a large number of shares of one stock sequentially within a given time frame, taking into consideration the costs arising from market impact and a trader's risk aversion. The main challenge in…

Trading and Market Microstructure · Quantitative Finance 2019-06-27 Wenhang Bao , Xiao-yang Liu

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…

Mathematical Finance · Quantitative Finance 2026-04-14 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath , Sergio Pulido

The paper addresses the problem of meta order execution from a broker-dealer's point of view in Almgren-Chriss model under execution risk. A broker-dealer agency is authorized to execute an order of trading on some client's behalf. The…

Trading and Market Microstructure · Quantitative Finance 2025-03-05 Xue Cheng , Peng Guo , Tai-ho Wang

We propose a framework to study the optimal liquidation strategy in a limit order book for large-tick stocks, with spread equal to one tick. All order book events (market orders, limit orders and cancellations) occur according to…

Trading and Market Microstructure · Quantitative Finance 2017-11-16 Antoine Jacquier , Hao Liu

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

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…

Mathematical Finance · Quantitative Finance 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

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 which both order book depth and resilience evolve randomly in time. Trading is allowed in both…

Trading and Market Microstructure · Quantitative Finance 2021-04-16 Julia Ackermann , Thomas Kruse , Mikhail Urusov

Traditional Long Short-Term Memory (LSTM) networks are effective for handling sequential data but have limitations such as gradient vanishing and difficulty in capturing long-term dependencies, which can impact their performance in dynamic…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Faezeh Sarlakifar , Mohammadreza Mohammadzadeh Asl , Sajjad Rezvani Khaledi , Armin Salimi-Badr

In high-frequency trading (HFT), leveraging limit order books (LOB) to model stock price movements is crucial for achieving profitable outcomes. However, this task is challenging due to the high-dimensional and volatile nature of the…

Trading and Market Microstructure · Quantitative Finance 2025-05-30 Jiahao Yang , Ran Fang , Ming Zhang , Jun Zhou

We study the problem of optimal execution of a trading order under Volume Weighted Average Price (VWAP) benchmark, from the point of view of a risk-averse broker. The problem consists in minimizing mean-variance of the slippage, with…

Trading and Market Microstructure · Quantitative Finance 2015-09-30 Enzo Busseti , Stephen Boyd

Forecasting stock prices can be interpreted as a time series prediction problem, for which Long Short Term Memory (LSTM) neural networks are often used due to their architecture specifically built to solve such problems. In this paper, we…

Machine Learning · Computer Science 2021-06-14 Akash Doshi , Alexander Issa , Puneet Sachdeva , Sina Rafati , Somnath Rakshit

Performance forecasting is an age-old problem in economics and finance. Recently, developments in machine learning and neural networks have given rise to non-linear time series models that provide modern and promising alternatives to…

Statistical Finance · Quantitative Finance 2022-01-21 Carmina Fjellström
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