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We present a simple dynamic equilibrium model for an online exchange where both buyers and sellers arrive according to a exogenously defined stochastic process. The structure of this exchange is motivated by the limit order book mechanism…

Computer Science and Game Theory · Computer Science 2008-12-02 Garud Iyengar , Anuj Kumar

We propose a constructive approach to building temporal point processes that incorporate dependence on their history. The dependence is modeled through the conditional density of the duration, i.e., the interval between successive event…

Methodology · Statistics 2025-10-31 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Market making refers to a form of trading in financial markets characterized by passive orders which add liquidity to limit order books. Market makers are important for the proper functioning of financial markets worldwide. Given the…

Mathematical Finance · Quantitative Finance 2024-07-24 Timothy DeLise

We present an empirical study of the intertwined behaviour of members in a financial market. Exploiting a database where the broker that initiates an order book event can be identified, we decompose the correlation and response functions…

Trading and Market Microstructure · Quantitative Finance 2012-05-02 Bence Toth , Zoltan Eisler , Fabrizio Lillo , Julien Kockelkoren , Jean-Philippe Bouchaud , J. Doyne Farmer

This study pioneers the application of the market microstructure framework to an informal financial market. By scraping data from websites and social media about the Cuban informal currency market, we model the dynamics of bid/ask…

Trading and Market Microstructure · Quantitative Finance 2025-03-07 Alejandro García Figal , Alejandro Lage Castellanos , Roberto Mulet

We develop a theory for the market impact of large trading orders, which we call metaorders because they are typically split into small pieces and executed incrementally. Market impact is empirically observed to be a concave function of…

Trading and Market Microstructure · Quantitative Finance 2013-09-30 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Henri Waelbroeck

Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are…

Trading and Market Microstructure · Quantitative Finance 2025-12-04 Manuel Naviglio , Giacomo Bormetti , Francesco Campigli , German Rodikov , Fabrizio Lillo

This paper examines the role of algorithmic trading in modern financial markets. Additionally, order types, characteristics, and special features of algorithmic trading are described under the lens provided by the large development of high…

Trading and Market Microstructure · Quantitative Finance 2012-06-26 Riccardo Cesari , Massimiliano Marzo , Paolo Zagaglia

We define what "Price Impact" means, and how it is measured and modelled in the recent literature. Although this notion seems to convey the idea of a forceful and intuitive mechanism, we discuss why things might not be that simple.…

Trading and Market Microstructure · Quantitative Finance 2017-08-24 J. P. Bouchaud

In this article, we present a discrete time modeling framework, in which the shape and dynamics of a Limit Order Book (LOB) arise endogenously from an equilibrium between multiple market participants (agents). We use the proposed modeling…

Trading and Market Microstructure · Quantitative Finance 2017-05-10 Roman Gayduk , Sergey Nadtochiy

We develop a model for credit rating migration that accounts for the impact of economic state fluctuations on default probabilities. The joint process for the economic state and the rating is modelled as a time-homogeneous Markov chain.…

Risk Management · Quantitative Finance 2024-03-25 Michael Kalkbrener , Natalie Packham

This paper deals with a fundamental subject that has seldom been addressed in recent years, that of market impact in the options market. Our analysis is based on a proprietary database of metaorders-large orders that are split into smaller…

Trading and Market Microstructure · Quantitative Finance 2022-05-17 Emilio Said , Ahmed Bel Hadj Ayed , Damien Thillou , Jean-Jacques Rabeyrin , Frédéric Abergel

Constant price impact functions, much used in financial literature, are shown to give rise to paradoxical outcomes since they do not allow for proper predictability removal: for instance the exploitation of a single large trade whose size…

Physics and Society · Physics 2010-01-27 Damien Challet

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

Molecular simulations as well as single molecule experiments have been widely analyzed in terms order parameters, the latter representing candidate probes for the relevant degrees of freedom. Notwithstanding this approach is very intuitive,…

Chemical Physics · Physics 2015-06-11 Ganna Berezovska , Diego Prada-Gracia , Stefano Mostarda , Francesco Rao

We introduce a new Self-Organized Criticality (SOC) model for simulating price evolution in an artificial financial market, based on a multilayer network of traders. The model also implements, in a quite realistic way with respect to…

Trading and Market Microstructure · Quantitative Finance 2016-06-30 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

This paper consists of two parts. The first part is devoted to empirical analysis of consolidated order book (COB) for the index RTS futures. In the second part we consider Poissonian multi--agent model of the COB. By varying parameters of…

Trading and Market Microstructure · Quantitative Finance 2014-02-19 A. O. Glekin , A. Lykov , K. L. Vaninsky

This article presents a new continuous-time modelling framework for multivariate time series of counts which have an infinitely divisible marginal distribution. The model is based on a mixed moving average process driven by L\'{e}vy noise -…

Methodology · Statistics 2016-08-11 Almut E. D. Veraart

We propose a framework to study optimal trading policies in a one-tick pro-rata limit order book, as typically arises in short-term interest rate futures contracts. The high-frequency trader has the choice to trade via market orders or…

Trading and Market Microstructure · Quantitative Finance 2012-05-15 Fabien Guilbaud , Huyên Pham

One approach to the analysis of stochastic fluctuations in market prices is to model characteristics of investor behaviour and the complex interactions between market participants, with the aim of extracting consequences in the aggregate.…

Probability · Mathematics 2008-12-02 Erhan Bayraktar , Ulrich Horst , Ronnie Sircar