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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…

Trading and Market Microstructure · Quantitative Finance 2011-09-14 Antje Fruth , Torsten Schoeneborn , Mikhail Urusov

This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of…

Trading and Market Microstructure · Quantitative Finance 2014-01-13 Shilei Wang

This paper studies the fill probabilities of limit orders placed at different price levels in a limit order book. These probabilities play a central role in execution optimization, as limit orders are not guaranteed to be executed and…

Trading and Market Microstructure · Quantitative Finance 2026-02-09 Felix Lokin , Fenghui Yu

In this work, we present a continuous-time large-population game for modeling market microstructure betweentwo consecutive trades. The proposed modeling framework is inspired by our previous work [23]. In this framework, the Limit Order…

Trading and Market Microstructure · Quantitative Finance 2017-06-21 Roman Gayduk , Sergey Nadtochiy

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…

Trading and Market Microstructure · Quantitative Finance 2020-01-31 Baron Law , Frederi Viens

Results from the communication complexity literature have demonstrated that stable matching requires communication: one cannot find or verify a stable match without having access to essentially all of the ordinal preference information held…

Theoretical Economics · Economics 2022-12-09 Naveen Durvasula

We study a microscopic limit order book model, in which the order dynamics depend on the current best bid and ask price and the current volume density functions, simultaneously, and derive its macroscopic high-frequency dynamics. As opposed…

Probability · Mathematics 2022-02-17 Dörte Kreher , Cassandra Milbradt

We investigate the behavior of limit order books on the meso-scale motivated by order execution scheduling algorithms. To do so we carry out empirical analysis of the order flows from market and limit order submissions, aggregated from…

Trading and Market Microstructure · Quantitative Finance 2017-08-10 Kyle Bechler , Michael Ludkovski

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

While the market impact of aggressive orders has been extensively studied, the impact of passive orders, those executed through limit orders, remains less understood. The goal of this paper is to investigate passive market impact by…

Mathematical Finance · Quantitative Finance 2024-12-11 Youssef Ouazzani Chahdi , Mathieu Rosenbaum , Grégoire Szymanski

We propose a model for the dynamics of a limit order book in a liquid market where buy and sell orders are submitted at high frequency. We derive a functional central limit theorem for the joint dynamics of the bid and ask queues and show…

Trading and Market Microstructure · Quantitative Finance 2012-03-01 Rama Cont , Adrien De Larrard

Motivated by a zero-intelligence approach, the aim of this paper is to connect the microscopic (discrete price and volume), mesoscopic (discrete price and continuous volume) and macroscopic (continuous price and volume) frameworks for the…

Mathematical Finance · Quantitative Finance 2019-06-27 Ben Hambly , Jasdeep Kalsi , James Newbury

We present an empirical analysis of the microstructure of financial markets and, in particular, of the static and dynamic properties of liquidity. We find that on relatively large time scales (15 minutes) large price fluctuations are…

Trading and Market Microstructure · Quantitative Finance 2015-12-09 Francesco Corradi , Andrea Zaccaria , Luciano Pietronero

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

Statistical Finance · Quantitative Finance 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo

We examine optimal execution models that take into account both market microstructure impact and informational costs. Informational footprint is related to order flow and is represented by the trader's influence on the flow imbalance…

Trading and Market Microstructure · Quantitative Finance 2014-10-21 Kyle Bechler , Mike Ludkovski

We develop a cross-border market model for two countries based on a continuous trading mechanism, in which the transmission capacities that enable transactions between market participants from different countries are limited. Our market…

Probability · Mathematics 2024-11-26 Cassandra Milbradt , Dörte Kreher

In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

We derive a continuous time model for the joint evolution of the mid price and the bid-ask spread from a multiscale analysis of the whole limit order book (LOB) dynamics. We model the LOB as a multiclass queueing system and perform our…

Trading and Market Microstructure · Quantitative Finance 2013-10-07 Jose Blanchet , Xinyun Chen

We propose a class of stochastic models for a dynamics of limit order book with different type of liquidities. Within this class of models we study the one where a spread decreases uniformly, belonging to the class of processes known as a…

Trading and Market Microstructure · Quantitative Finance 2021-01-07 Helder Rojas , Artem Logachov , Anatoly Yambartsev

We study two-sided many-to-one matching markets with transferable utilities, e.g., labor and rental housing markets, in which money can exchange hands between agents, subject to distributional constraints on the set of feasible allocations.…

Theoretical Economics · Economics 2022-04-26 Devansh Jalota , Michael Ostrovsky , Marco Pavone
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