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We consider a stochastic model for the dynamics of the two-sided limit order book (LOB). Our model is flexible enough to allow for a dependence of the price dynamics on volumes. For the joint dynamics of best bid and ask prices and the…

Mathematical Finance · Quantitative Finance 2016-08-04 Christian Bayer , Ulrich Horst , Jinniao Qiu

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…

Optimization and Control · Mathematics 2014-01-23 Jin Ma , Xinyang Wang , Jianfeng Zhang

We identify and analyze statistical regularities and irregularities in the recent order flow of different NASDAQ stocks, focusing on the positions where orders are placed in the orderbook. This includes limit orders being placed outside of…

Trading and Market Microstructure · Quantitative Finance 2017-11-22 Martin Theissen , Sebastian M. Krause , Thomas Guhr

We develop a multi-period Kyle-type model that incorporates both mandatory disclosure of informed trades and imperfect competition among market makers. We prove the existence and uniqueness of a linear equilibrium and show that the…

Trading and Market Microstructure · Quantitative Finance 2026-04-14 Seongjin Kim , Jin Hyuk Choi

We introduce a model for limit order book of a certain security with two main features: First, both the limit orders and market orders for the given asset are allowed to appear and interact with each other. Second, the high frequency…

Pricing of Securities · Quantitative Finance 2024-12-24 Yun Chen-Shue , Yukun Li , Jiongmin Yong

R. Cont and A. de Larrard (SIAM J. Finan. Math, 2013) introduced a tractable stochastic model for the dynamics of a limit order book, computing various quantities of interest such as the probability of a price increase or the diffusion…

Mathematical Finance · Quantitative Finance 2016-01-11 Anatoliy Swishchuk , Nelson Vadori

We study the price impact of order book events - limit orders, market orders and cancelations - using the NYSE TAQ data for 50 U.S. stocks. We show that, over short time intervals, price changes are mainly driven by the order flow…

Trading and Market Microstructure · Quantitative Finance 2015-03-17 Rama Cont , Arseniy Kukanov , Sasha Stoikov

This paper explores the bifurcative dynamics of an artificial stock market exchange (ASME) with endogenous, myopic traders interacting through a limit order book (LOB). We showed that agent-based price dynamics possess intrinsic…

Trading and Market Microstructure · Quantitative Finance 2025-08-26 Matej Steinbacher , Mitja Steinbacher , Matjaz Steinbacher

This paper measures and compares the tail risks of limit and market orders using Extreme Value Theory. The analysis examines realised tail outcomes using the Dealing 2000-2 electronic broking system based on completed transactions rather…

Statistical Finance · Quantitative Finance 2011-03-30 john cotter , kevin dowd

Classical Kyle-type models of informed trading typically treat noise trader demand as purely exogenous. In reality, many market participants react to price movements and news, generating feedback effects that can significantly alter market…

Mathematical Finance · Quantitative Finance 2026-01-16 Eunjung Noh

In this paper we propose a mathematical framework to address the uncertainty emergingwhen the designer of a trading algorithm uses a threshold on a signal as a control. We rely ona theorem by Benveniste and Priouret to deduce our Inventory…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Hadrien De March , Charles-Albert Lehalle

We consider a Kyle-type model where insider trading takes place among a potentially large population of liquidity traders and is subject to legal penalties. Insiders exploit the liquidity provided by the trading masses to "camouflage" their…

General Economics · Economics 2025-12-09 Jin Ma , Weixuan Xia , Jianfeng Zhang

Modern financial exchanges use an electronic limit order book (LOB) to store bid and ask orders for a specific financial asset. As the most fine-grained information depicting the demand and supply of an asset, LOB data is essential in…

Trading and Market Microstructure · Quantitative Finance 2023-03-02 Zijian Shi , John Cartlidge

We investigate whether the bid/ask queue imbalance in a limit order book (LOB) provides significant predictive power for the direction of the next mid-price movement. We consider this question both in the context of a simple binary…

Trading and Market Microstructure · Quantitative Finance 2015-12-14 Martin D. Gould , Julius Bonart

Optimal trading is a recent field of research which was initiated by Almgren, Chriss, Bertsimas and Lo in the late 90's. Its main application is slicing large trading orders, in the interest of minimizing trading costs and potential…

Trading and Market Microstructure · Quantitative Finance 2018-06-05 Charles-Albert Lehalle , Eyal Neuman

We develop a stochastic equilibrium model for an electricity market with asymmetric renewable energy forecasts. In our setting, market participants optimize their profits using public information about a conditional expectation of energy…

Optimization and Control · Mathematics 2020-05-26 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

When modelling stock market dynamics, the price formation is often based on an equilbrium mechanism. In real stock exchanges, however, the price formation is goverend by the order book. It is thus interesting to check if the resulting…

Computational Finance · Quantitative Finance 2016-04-20 Frederik Meudt , Thilo A. Schmitt , Rudi Schäfer , Thomas Guhr

While the long-ranged correlation of market orders and their impact on prices has been relatively well studied in the literature, the corresponding studies of limit orders and cancellations are scarce. We provide here an empirical study of…

Trading and Market Microstructure · Quantitative Finance 2015-03-13 Zoltan Eisler , Jean-Philippe Bouchaud , Julien Kockelkoren

Volume imbalance in a limit order book is often considered as a reliable indicator for predicting future price moves. In this work, we seek to analyse the nuances of the relationship between prices and volume imbalance. To this end, we…

Trading and Market Microstructure · Quantitative Finance 2024-07-24 Sergio Pulido , Mathieu Rosenbaum , Emmanouil Sfendourakis

Algorithmic trading relies on extracting meaningful signals from diverse financial data sources, including candlestick charts, order statistics on put and canceled orders, traded volume data, limit order books, and news flow. While deep…

Machine Learning · Computer Science 2025-04-22 Kasymkhan Khubiev , Mikhail Semenov
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