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This paper proposes a parametric approach for stochastic modeling of limit order markets. The models are obtained by augmenting classical perfectly liquid market models by few additional risk factors that describe liquidity properties of…

Trading and Market Microstructure · Quantitative Finance 2010-06-24 Pekka Malo , Teemu Pennanen

We study the problem of the execution of a moderate size order in an illiquid market within the framework of a solvable Markovian model. We suppose that in order to avoid impact costs, a trader decides to execute her order through a unique…

Trading and Market Microstructure · Quantitative Finance 2015-06-09 Iacopo Mastromatteo

We consider a stochastic lost-sales inventory control system with a lead time $L$ over a planning horizon $T$. Supply is uncertain, and is a function of the order quantity (due to random yield/capacity, etc). We aim to minimize the…

Optimization and Control · Mathematics 2023-11-01 Boxiao Chen , Jiashuo Jiang , Jiawei Zhang , Zhengyuan Zhou

We study partial information Nash equilibrium between a broker and an informed trader. In this setting, the informed trader, who possesses knowledge of a trading signal, trades multiple assets with the broker in a dealer market.…

Mathematical Finance · Quantitative Finance 2025-04-03 Xuchen Wu , Sebastian Jaimungal

The article is an empirical study of market impact through order book events. It describes a mechanism of extracting an average participation rate and a market impact of small orders which represent individual slices of large metaorders.…

Trading and Market Microstructure · Quantitative Finance 2022-01-11 Oleh Danyliv

We empirically study the trading activity in the electronic on-book segment and in the dealership off-book segment of the London Stock Exchange, investigating separately the trading of active market members and of other market participants…

Trading and Market Microstructure · Quantitative Finance 2015-03-18 Angelo Carollo , Gabriella Vaglica , Fabrizio Lillo , Rosario N. Mantegna

A quasi-centralized limit order book (QCLOB) is a limit order book (LOB) in which financial institutions can only access the trading opportunities offered by counterparties with whom they possess sufficient bilateral credit. We perform an…

Trading and Market Microstructure · Quantitative Finance 2016-10-11 Martin D. Gould , Mason A. Porter , Sam D. Howison

This paper characterizes informational outcomes in a model of dynamic signaling with vanishing commitment power. It shows that contrary to popular belief, informative equilibria with payoff-relevant signaling can exist without requiring…

Theoretical Economics · Economics 2024-05-17 Egor Starkov

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

This article provides a simple explanation of the asymptotic concavity of the price impact of a meta-order via the microstructural properties of the market. This explanation is made more precise by a model in which the local relationship…

Trading and Market Microstructure · Quantitative Finance 2020-12-15 Sergey Nadtochiy

In this paper, we present a multi-period trading model by assuming that traders face not only asymmetric information but also heterogenous prior beliefs, under the requirement that the insider publicly disclose his stock trades after the…

Trading and Market Microstructure · Quantitative Finance 2011-05-13 Fuzhou Gong , Hong Liu

In this paper, we introduce a parametrized family of prices derived from the Maximum Entropy Principle. The price is obtained from the distribution that minimizes bias, given the bid and ask volume imbalance at the top of the order book.…

Trading and Market Microstructure · Quantitative Finance 2025-07-15 Przemysław Rola

We use random walks to simulate the fluid limit of two coupled diffusive limit order books to model correlation emergence. The model implements the arrival, cancellation and diffusion of orders coupled by a pairs trader profiting from the…

Trading and Market Microstructure · Quantitative Finance 2024-08-07 Dominic Bauer , Derick Diana , Tim Gebbie

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

Despite the fact that an intraday market price distribution is not normal, the random walk model of price behaviour is as important for the understanding of basic principles of the market as the pendulum model is a starting point of many…

Trading and Market Microstructure · Quantitative Finance 2019-08-14 Oleh Danyliv , Bruce Bland , Alexandre Argenson

The latent order book of \cite{donier2015fully} is one of the most promising agent-based models for market impact. This work extends the minimal model by allowing agents to exhibit mean-reversion, a commonly observed pattern in real…

Trading and Market Microstructure · Quantitative Finance 2020-09-07 Ismael Lemhadri

We investigate the probability distribution of order imbalance calculated from the order flow data of 43 Chinese stocks traded on the Shenzhen Stock Exchange. Two definitions of order imbalance are considered based on the order number and…

Statistical Finance · Quantitative Finance 2017-07-19 T. Zhang , G. -F. Gu , H. -C. Xu , X. Xiong , W. Chen , W. -X. Zhou

This paper focuses on some simple models of limit order book dynamics which simulate market trading mechanisms. We start with a discrete time/space Markov process and then perform a re-scaling procedure leading to a deterministic dynamical…

Probability · Mathematics 2011-02-08 N Vvedenskaya , Y Suhov , V Belitsky

We consider an optimal trading problem under a market impact model with endogenous market resistance generated by a sophisticated trader who (partially) detects metaorders and trades against them to exploit price overreactions induced by…

Trading and Market Microstructure · Quantitative Finance 2026-02-05 Nathan De Carvalho , Youssef Ouazzani Chahdi , Grégoire Szymanski

Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution…

Trading and Market Microstructure · Quantitative Finance 2015-06-05 Enzo Busseti , Fabrizio Lillo