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Market information events are generated intermittently and disseminated at high speeds in real-time. Market participants consume this high-frequency data to build limit order books, representing the current bids and offers for a given…

Trading and Market Microstructure · Quantitative Finance 2024-08-08 Aditya Nittur Anantha , Shashi Jain

We investigate the impact of order flow imbalance (OFI) on price movements in equity markets in a multi-asset setting. First, we propose a systematic approach for combining OFIs at the top levels of the limit order book into an integrated…

Trading and Market Microstructure · Quantitative Finance 2023-06-16 Rama Cont , Mihai Cucuringu , Chao Zhang

We study the multi-level order-flow imbalance (MLOFI), which is a vector quantity that measures the net flow of buy and sell orders at different price levels in a limit order book (LOB). Using a recent, high-quality data set for 6 liquid…

Trading and Market Microstructure · Quantitative Finance 2019-10-29 Ke Xu , Martin D. Gould , Sam D. Howison

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

I present an overview of some recent advancements on the empirical analysis and theoretical modeling of the process of price formation in financial markets as the result of the arrival of orders in a limit order book exchange. After…

Trading and Market Microstructure · Quantitative Finance 2021-05-04 Fabrizio Lillo

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

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 conduct modeling of the price dynamics following order flow imbalance in market microstructure and apply the model to the analysis of Chinese CSI 300 Index Futures. There are three findings. The first is that the order flow imbalance is…

Mathematical Finance · Quantitative Finance 2025-05-26 Chen Hu , Kouxiao Zhang

Order flow imbalance can explain short-term changes in stock price. This paper considers the change of non-minimum quotation units in real transactions, and proposes a generalized order flow imbalance construction method to improve Order…

Trading and Market Microstructure · Quantitative Finance 2021-12-07 Yuhan Su , Zeyu Sun , Jiarong Li , Xianghui Yuan

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 study the analytical properties of a one-side order book model in which the flows of limit and market orders are Poisson processes and the distribution of lifetimes of cancelled orders is exponential. Although simplistic, the model…

Trading and Market Microstructure · Quantitative Finance 2019-07-15 Ioane Muni Toke

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 examine the dynamics of the bid and ask queues of a limit order book and their relationship with the intensity of trade arrivals. In particular, we study the probability of price movements and trade arrivals as a function of the quote…

Trading and Market Microstructure · Quantitative Finance 2013-12-03 Alexander Lipton , Umberto Pesavento , Michael G Sotiropoulos

We use standard physics techniques to model trading and price formation in a market under the assumption that order arrival and cancellations are Poisson random processes. This model makes testable predictions for the most basic properties…

Statistical Mechanics · Physics 2013-05-29 Marcus G. Daniels , J. Doyne Farmer , Laszlo Gillemot , Giulia Iori , Eric Smith

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

We study the dynamics of the limit order book of liquid stocks after experiencing large intra-day price changes. In the data we find large variations in several microscopical measures, e.g., the volatility the bid-ask spread, the bid-ask…

Trading and Market Microstructure · Quantitative Finance 2009-10-26 Bence Toth , Janos Kertesz , J. Doyne Farmer

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

We propose and study a simple stochastic model for the dynamics of a limit order book, in which arrivals of market order, limit orders and order cancellations are described in terms of a Markovian queueing system. Through its analytical…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Rama Cont , Adrien De Larrard

We propose an analytically tractable class of models for the dynamics of a limit order book, described through a stochastic partial differential equation (SPDE) with multiplicative noise for the order book centered at the mid-price, along…

Trading and Market Microstructure · Quantitative Finance 2021-05-19 Rama Cont , Marvin S. Mueller

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…

Trading and Market Microstructure · Quantitative Finance 2020-02-21 Frédéric Abergel , Côme Huré , Huyên Pham
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