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Prediction of future movement of stock prices has been a subject matter of many research work. There is a gamut of literature of technical analysis of stock prices where the objective is to identify patterns in stock price movements and…

Statistical Finance · Quantitative Finance 2021-09-07 Sidra Mehtab , Jaydip Sen

We study the price-setting problem of market makers under risk neutrality and perfect competition in continuous time. Thereby we follow the classic Glosten-Milgrom model that defines bid and ask prices as expectations of a true value of the…

Trading and Market Microstructure · Quantitative Finance 2012-10-16 Christoph Kühn , Matthias Riedel

We present a framework for hedging a portfolio of derivatives in the presence of market frictions such as transaction costs, market impact, liquidity constraints or risk limits using modern deep reinforcement machine learning methods. We…

Computational Finance · Quantitative Finance 2018-02-12 Hans Bühler , Lukas Gonon , Josef Teichmann , Ben Wood

Motivated by applications such as cloud computing, gig platforms, and blockchain auctions, we study optimal selling mechanisms for dynamic markets with stochastic supply and demand. In our model, buyers with private valuations and…

Theoretical Economics · Economics 2026-02-18 Yeon-Koo Che , Andrew B. Choi

Simulating limit order books (LOBs) has important applications across forecasting and backtesting for financial market data. However, deep generative models struggle in this context due to the high noise and complexity of the data. Previous…

Trading and Market Microstructure · Quantitative Finance 2025-09-08 Alfred Backhouse , Kang Li , Jakob Foerster , Anisoara Calinescu , Stefan Zohren

We propose a framework for studying optimal market making policies in a limit order book (LOB). The bid-ask spread of the LOB is modelled by a Markov chain with finite values, multiple of the tick size, and subordinated by the Poisson…

Trading and Market Microstructure · Quantitative Finance 2011-06-29 Fabien Guilbaud , Huyen Pham

The Maker Protocol is a decentralized finance application that enables collateralized lending. The application uses open-bid, second-price auctions to complete its loan liquidation process. In this paper, we develop a bidding function for…

Trading and Market Microstructure · Quantitative Finance 2021-05-27 Michael Darlin , Nikolaos Papadis , Leandros Tassiulas

Market makers continuously set bid and ask quotes for the stocks they have under consideration. Hence they face a complex optimization problem in which their return, based on the bid-ask spread they quote and the frequency at which they…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Olivier Guéant , Charles-Albert Lehalle , Joaquin Fernandez Tapia

We consider a market where a finite number of players trade an asset whose supply is a stochastic process. The price formation problem consists of finding a price process that ensures that when agents act optimally to minimize their trading…

Analysis of PDEs · Mathematics 2022-08-15 Diogo Gomes , Julian Gutierrez , Ricardo Ribeiro

This paper studies optimal market making for large-tick assets in the presence of latency. We consider a random walk model for the asset price, and formulate the market maker's optimization problem using Markov Decision Processes (MDP). We…

Trading and Market Microstructure · Quantitative Finance 2020-03-18 Xuefeng Gao , Yunhan Wang

We consider the issue of a market maker acting at the same time in the lit and dark pools of an exchange. The exchange wishes to establish a suitable make-take fees policy to attract transactions on its venues. We first solve the stochastic…

Mathematical Finance · Quantitative Finance 2019-12-04 Bastien Baldacci , Iuliia Manziuk , Thibaut Mastrolia , Mathieu Rosenbaum

Mid-price movement prediction based on limit order book (LOB) data is a challenging task due to the complexity and dynamics of the LOB. So far, there have been very limited attempts for extracting relevant features based on LOB data. In…

Statistical Finance · Quantitative Finance 2019-06-11 Adamantios Ntakaris , Giorgio Mirone , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

In this paper, we employ the Heston stochastic volatility model to describe the stock's volatility and apply the model to derive and analyze the optimal trading strategies for dealers in a security market. We also extend our study to option…

Trading and Market Microstructure · Quantitative Finance 2016-02-02 Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu , Qing-Qing Yang

A self-learning optimal control algorithm for episodic fixed-horizon manufacturing processes with time-discrete control actions is proposed and evaluated on a simulated deep drawing process. The control model is built during consecutive…

Systems and Control · Computer Science 2020-01-07 Johannes Dornheim , Norbert Link , Peter Gumbsch

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 which both order book depth and resilience evolve randomly in time. Trading is allowed in both…

Trading and Market Microstructure · Quantitative Finance 2021-04-16 Julia Ackermann , Thomas Kruse , Mikhail Urusov

In this paper, we propose an event-driven Limit Order Book (LOB) model that captures twelve of the most observed LOB events in exchange-based financial markets. To model these events, we propose using the state-of-the-art Neural Hawkes…

Computational Finance · Quantitative Finance 2025-09-19 Luca Lalor , Anatoliy Swishchuk

The design of revenue-maximizing auctions with strong incentive guarantees is a core concern of economic theory. Computational auctions enable online advertising, sourcing, spectrum allocation, and myriad financial markets. Analytic…

Computer Science and Game Theory · Computer Science 2020-10-14 Kevin Kuo , Anthony Ostuni , Elizabeth Horishny , Michael J. Curry , Samuel Dooley , Ping-yeh Chiang , Tom Goldstein , John P. Dickerson

Predicting a fast and accurate model for stock price forecasting is been a challenging task and this is an active area of research where it is yet to be found which is the best way to forecast the stock price. Machine learning, deep…

Statistical Finance · Quantitative Finance 2024-02-13 Himanshu Gupta , Aditya Jaiswal

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

Market participants regularly send bid and ask quotes to exchange-operated limit order books. This creates an optimization challenge where their potential profit is determined by their quoted price and how often their orders are…

Mathematical Finance · Quantitative Finance 2025-04-16 Chutian Ma , Giacinto Paolo Saggese , Paul Smith