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In financial markets, liquidity is not constant over time but exhibits strong seasonal patterns. In this article we consider a limit order book model that allows for time-dependent, deterministic depth and resilience of the book and…

交易与市场微观结构 · 定量金融 2011-09-14 Antje Fruth , Torsten Schoeneborn , Mikhail Urusov

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

交易与市场微观结构 · 定量金融 2020-01-31 Baron Law , Frederi Viens

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…

交易与市场微观结构 · 定量金融 2021-04-16 Julia Ackermann , Thomas Kruse , Mikhail Urusov

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…

交易与市场微观结构 · 定量金融 2011-06-29 Fabien Guilbaud , Huyen Pham

We consider optimal execution strategies for block market orders placed in a limit order book (LOB). We build on the resilience model proposed by Obizhaeva and Wang (2005) but allow for a general shape of the LOB defined via a given density…

交易与市场微观结构 · 定量金融 2010-02-03 Aurélien Alfonsi , Antje Fruth , Alexander Schied

We propose a limit order book (LOB) model with dynamics that account for both the impact of the most recent order and the shape of the LOB. We present an empirical analysis showing that the type of the last order significantly alters the…

交易与市场微观结构 · 定量金融 2017-10-31 Federico Gonzalez , Mark Schervish

We study a linear price impact model including other liquidity takers, whose flow of orders either follows a Poisson or a Hawkes process. The optimal execution problem is solved explicitly in this context, and the closed-formula optimal…

交易与市场微观结构 · 定量金融 2015-06-10 Aurélien Alfonsi , Pierre Blanc

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

We study the optimal execution of market and limit orders with permanent and temporary price impacts as well as uncertainty in the filling of limit orders. Our continuous-time model incorporates a trade speed limiter and a trader director…

数理金融 · 定量金融 2017-04-13 Brian Bulthuis , Julio Concha , Tim Leung , Brian Ward

We propose a microstructural modeling framework for studying optimal market making policies in a FIFO (first in first out) limit order book (LOB). In this context, the limit orders, market orders, and cancel orders arrivals in the LOB are…

交易与市场微观结构 · 定量金融 2020-02-21 Frédéric Abergel , Côme Huré , Huyên Pham

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

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 the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

概率论 · 数学 2014-01-10 Idris Kharroubi , Huyen Pham

We propose a new model for the level I of a Limit Order Book (LOB), which incorporates the information about the standing orders at the opposite side of the book after each price change and the arrivals of new orders within the spread. Our…

交易与市场微观结构 · 定量金融 2016-03-15 Jonathan A. Chávez-Casillas , José E. Figueroa-López

In this paper we propose a dynamic model of Limit Order Book (LOB). The main feature of our model is that the shape of the LOB is determined endogenously by an expected utility function via a competitive equilibrium argument. Assuming zero…

最优化与控制 · 数学 2014-01-23 Jin Ma , Xinyang Wang , Jianfeng Zhang

In this paper, we introduce a novel reinforcement learning framework for optimal trade execution in a limit order book. We formulate the trade execution problem as a dynamic allocation task whose objective is the optimal placement of market…

交易与市场微观结构 · 定量金融 2026-01-28 Patrick Cheridito , Moritz Weiss

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

Limit Order Books (LOBs) serve as a mechanism for buyers and sellers to interact with each other in the financial markets. Modelling and simulating LOBs is quite often necessary for calibrating and fine-tuning the automated trading…

交易与市场微观结构 · 定量金融 2024-03-04 Konark Jain , Nick Firoozye , Jonathan Kochems , Philip Treleaven

A novel high-frequency market-making approach in discrete time is proposed that admits closed-form solutions. By taking advantage of demand functions that are linear in the quoted bid and ask spreads with random coefficients, we model the…

交易与市场微观结构 · 定量金融 2024-05-21 Jonathan Chávez-Casillas , José E. Figueroa-López , Chuyi Yu , Yi Zhang

Latency (i.e., time delay) in electronic markets affects the efficacy of liquidity taking strategies. During the time liquidity takers process information and send marketable limit orders (MLOs) to the exchange, the limit order book (LOB)…

交易与市场微观结构 · 定量金融 2019-08-12 Álvaro Cartea , Sebastian Jaimungal , Leandro Sánchez-Betancourt
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