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We study a multiplicative transient price impact model for an illiquid financial market, where trading causes price impact which is multiplicative in relation to the current price, transient over time with finite rate of resilience, and…

Optimization and Control · Mathematics 2019-06-27 Dirk Becherer , Todor Bilarev , Peter Frentrup

To the best of our knowledge, this paper proposes for the first time a design of a continuous local flexibility market that explicitly considers network constraints. Continuous markets are expected to be the most appropriate design option…

Optimization and Control · Mathematics 2022-10-12 Eléa Prat , Lars Herre , Jalal Kazempour , Spyros Chatzivasileiadis

Robust optimization is a young and active research field that has been mainly developed in the last 15 years. Robust optimization is very useful for practice, since it is tailored to the information at hand, and it leads to computationally…

Optimization and Control · Mathematics 2015-08-21 Bram L. Gorissen , Ihsan Yanıkoğlu , Dick den Hertog

We introduce a practical, interactive simulator of the limit order book for large-tick assets, designed to produce realistic execution, costs, and P&L. The book state is projected onto a tractable representation based on spread and volume…

Trading and Market Microstructure · Quantitative Finance 2026-03-26 Patrick Noble , Mathieu Rosenbaum , Saad Souilmi

Managing the transactions in real time distributed computing system is not easy, as it has heterogeneously networked computers to solve a single problem. If a transaction runs across some different sites, it may commit at some sites and may…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-15 Y. Jayanta Singh , Yumnam Somananda Singh , Ashok Gaikwad , S. C. Mehrotra

We provide an explicit characterization of the optimal market making strategy in a discrete-time Limit Order Book (LOB). In our model, the number of filled orders during each period depends linearly on the distance between the fundamental…

Trading and Market Microstructure · Quantitative Finance 2021-01-11 Agostino Capponi , José E. Figueroa-López , Chuyi Yu

This paper presents a novel model for simulating and analyzing sparse limit order books (LOBs), with a specific application to the European intraday electricity market. In illiquid markets, characterized by significant gaps between order…

Trading and Market Microstructure · Quantitative Finance 2024-10-10 Philippe Bergault , Enzo Cognéville

While historically, economists have been primarily occupied with analyzing the behaviour of the markets, electronic trading gave rise to a new class of unprecedented problems associated with market fairness, transparency and manipulation.…

Cryptography and Security · Computer Science 2019-10-02 Vasilios Mavroudis , Hayden Melton

Market liquidity plays a vital role in the field of market micro-structure, because it is the vigor of the financial market. This paper uses a variable called convexity to measure the potential liquidity provided by order-book. Based on the…

Trading and Market Microstructure · Quantitative Finance 2012-11-12 Kenan Qiao

We propose a static equilibrium model for limit order book where profit-maximizing investors receive an information signal regarding the liquidation value of the asset and execute via a competitive dealer with random initial inventory, who…

Trading and Market Microstructure · Quantitative Finance 2020-03-11 Umut Çetin , Henri Waelbroeck

This paper extends the optimal-trading framework developed in arXiv:2409.03586v1 to compute optimal strategies with real-world constraints. The aim of the current paper, as with the previous, is to study trading in the context of…

Trading and Market Microstructure · Quantitative Finance 2024-09-26 Neil A. Chriss

We study the optimal control of storage which is used for arbitrage, i.e. for buying a commodity when it is cheap and selling it when it is expensive. Our particular concern is with the management of energy systems, although the results are…

Optimization and Control · Mathematics 2014-06-17 James Cruise , Richard Gibbens , Stan Zachary

In order-driven markets, limit-order book (LOB) resiliency is an important microscopic indicator of market quality when the order book is hit by a liquidity shock and plays an essential role in the design of optimal submission strategies of…

Trading and Market Microstructure · Quantitative Finance 2018-02-27 Hai-Chuan Xu , Wei Chen , Xiong Xiong , Wei Zhang , Wei-Xing Zhou , H Eugene Stanley

We study the optimal placement problem of a stock trader who wishes to clear his/her inventory by a predetermined time horizon t, by using a limit order or a market order. For a diffusive market, we characterize the optimal limit order…

Trading and Market Microstructure · Quantitative Finance 2017-08-16 José E. Figueroa-López , Hyoeun Lee , Raghu Pasupathy

In this paper, we introduce a novel reinforcement learning framework for optimal trade execution in a limit order book. We formulate the trade execution problem as a dynamic allocation task whose objective is the optimal placement of market…

Trading and Market Microstructure · Quantitative Finance 2026-01-28 Patrick Cheridito , Moritz Weiss

We use a deep neural network to generate controllers for optimal trading on high frequency data. For the first time, a neural network learns the mapping between the preferences of the trader, i.e. risk aversion parameters, and the optimal…

Optimization and Control · Mathematics 2021-02-15 Laura Leal , Mathieu Laurière , Charles-Albert Lehalle

Asset liquidity in modern financial markets is a key but elusive concept. A market is often said to be liquid when the prevailing structure of transactions provides a prompt and secure link between the demand and supply of assets, thus…

Trading and Market Microstructure · Quantitative Finance 2011-12-30 Alexandros Gabrielsen , Massimiliano Marzo , Paolo Zagaglia

I study the limit of a large random economy, where a set of consumers invests in financial instruments engineered by banks, in order to optimize their future consumption. This exercise shows that, even in the ideal case of perfect…

Statistical Finance · Quantitative Finance 2009-06-09 Matteo Marsili

Trailing stop is a popular stop-loss trading strategy by which the investor will sell the asset once its price experiences a pre-specified percentage drawdown. In this paper, we study the problem of timing buy and then sell an asset subject…

Mathematical Finance · Quantitative Finance 2019-03-26 Tim Leung , Hongzhong Zhang

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