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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

Low-latency communication plays an increasingly important role in delay-sensitive applications by ensuring the real-time information exchange. However, due to the constraint on the maximum instantaneous power, guaranteeing bounded latency…

Information Theory · Computer Science 2024-11-05 Lintao Li , Wei Chen , Petar Popovski , Khaled B. Letaief

Optimal execution, i.e., the determination of the most cost-effective way to trade volumes in continuous trading sessions, has been a topic of interest in the equity trading world for years. Electricity intraday trading slowly follows this…

Trading and Market Microstructure · Quantitative Finance 2020-10-06 Christopher Kath , Florian Ziel

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

We derive a continuous time model for the joint evolution of the mid price and the bid-ask spread from a multiscale analysis of the whole limit order book (LOB) dynamics. We model the LOB as a multiclass queueing system and perform our…

Trading and Market Microstructure · Quantitative Finance 2013-10-07 Jose Blanchet , Xinyun Chen

We analyze a tractable model of a limit order book on short time scales, where the dynamics are driven by stochastic fluctuations between supply and demand. We establish the existence of a limiting distribution for the highest bid, and for…

Trading and Market Microstructure · Quantitative Finance 2017-03-24 Frank Kelly , Elena Yudovina

We present an empirical analysis of the microstructure of financial markets and, in particular, of the static and dynamic properties of liquidity. We find that on relatively large time scales (15 minutes) large price fluctuations are…

Trading and Market Microstructure · Quantitative Finance 2015-12-09 Francesco Corradi , Andrea Zaccaria , Luciano Pietronero

We develop a mixed control framework that combines absolutely continuous controls with impulse interventions subject to stochastic execution delays. The model extends current impulse control formulations by allowing (i) the controller to…

Trading and Market Microstructure · Quantitative Finance 2026-02-20 Philippe Bergault , Yadh Hafsi , Leandro Sánchez-Betancourt

Limit order books (LOBs) match buyers and sellers in more than half of the world's financial markets. This survey highlights the insights that have emerged from the wealth of empirical and theoretical studies of LOBs. We examine the…

Trading and Market Microstructure · Quantitative Finance 2015-03-17 Martin D. Gould , Mason A. Porter , Stacy Williams , Mark McDonald , Daniel J. Fenn , Sam D. Howison

This paper addresses the optimal scheduling of the liquidation of a portfolio using a new angle. Instead of focusing only on the scheduling aspect like Almgren and Chriss, or only on the liquidity-consuming orders like Obizhaeva and Wang,…

Trading and Market Microstructure · Quantitative Finance 2013-04-05 Olivier Guéant , Charles-Albert Lehalle , Joaquin Fernandez Tapia

This study investigates the development of an optimal execution strategy through reinforcement learning, aiming to determine the most effective approach for traders to buy and sell inventory within a finite time horizon. Our proposed model…

Trading and Market Microstructure · Quantitative Finance 2025-11-04 Yadh Hafsi , Edoardo Vittori

In order to reduce signalling, traders may resort to limiting access to dark venues and imposing limits on minimum fill sizes they are willing to trade. However, doing this also restricts the liquidity available to the trader since an ever…

Trading and Market Microstructure · Quantitative Finance 2017-10-18 Ilija I. Zovko

Location-Based Services (LBSs) provide invaluable aid in the everyday activities of many individuals, however they also pose serious threats to the user' privacy. There is, therefore, a growing interest in the development of mechanisms to…

Cryptography and Security · Computer Science 2017-10-17 Konstantinos Chatzikokolakis , Serge Haddad , Ali Kassem , Catuscia Palamidessi

We analyze an optimal trade execution problem in a financial market with stochastic liquidity. To this end we set up a limit order book model in continuous time. Both order book depth and resilience are allowed to evolve randomly in time.…

Probability · Mathematics 2021-07-27 Julia Ackermann , Thomas Kruse , Mikhail Urusov

We study an online learning problem on dynamic pricing and resource allocation, where we make joint pricing and inventory decisions to maximize the overall net profit. We consider the stochastic dependence of demands on the price, which…

Machine Learning · Computer Science 2025-05-23 Jianyu Xu , Xuan Wang , Yu-Xiang Wang , Jiashuo Jiang

Evolutions of the trading landscape lead to the capability to exchange the same financial instrument on different venues. Because of liquidity issues, the trading firms split large orders across several trading destinations to optimize…

Trading and Market Microstructure · Quantitative Finance 2010-07-28 Sophie Laruelle , Charles-Albert Lehalle , Gilles Pagès

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

We study the problem of optimal liquidity withdrawal for a representative liquidity provider (LP) in an automated market maker (AMM). LPs earn fees from trading activity but are exposed to impermanent loss (IL) due to price fluctuations.…

Trading and Market Microstructure · Quantitative Finance 2025-10-21 Philippe Bergault , Sébastien Bieber , Leandro Sánchez-Betancourt

We study the trade-off between delivery delay and energy consumption in a delay tolerant network in which a message (or a file) has to be delivered to each of several destinations by epidemic relaying. In addition to the destinations, there…

Networking and Internet Architecture · Computer Science 2011-10-28 Chandramani Singh , Eitan Altman , Anurag Kumar , Rajesh Sundaresan

We study the optimal pricing strategy of a monopolist selling homogeneous goods to customers over multiple periods. The customers choose their time of purchase to maximize their payoff that depends on their valuation of the product, the…

Computer Science and Game Theory · Computer Science 2018-06-28 Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar
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