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In this paper we introduce a completely continuous and time-variate model of the evolution of market limit orders based on the existence, uniqueness, and regularity of the solutions to a type of stochastic partial differential equations…

Trading and Market Microstructure · Quantitative Finance 2012-10-29 Zhi Zheng , Richard B. Sowers

In a continuous-time model with multiple assets described by c\`{a}dl\`{a}g processes, this paper characterizes superhedging prices, absence of arbitrage, and utility maximizing strategies, under general frictions that make execution prices…

Pricing of Securities · Quantitative Finance 2015-06-22 Paolo Guasoni , Miklós Rásonyi

In the seminal paper on optimal execution of portfolio transactions, Almgren and Chriss (2001) define the optimal trading strategy to liquidate a fixed volume of a single security under price uncertainty. Yet there exist situations, such as…

Trading and Market Microstructure · Quantitative Finance 2022-12-06 Julien Vaes , Raphael Hauser

Executing even moderately large derivatives orders can be expensive and risky; it's hard to balance the uncertainty of working an order over time versus paying a liquidity premium for immediate execution. Here, we introduce the Time Is…

Mathematical Finance · Quantitative Finance 2021-04-14 Kevin Patrick Darby

Statistical arbitrage exploits temporal price differences between similar assets. We develop a unifying conceptual framework for statistical arbitrage and a novel data driven solution. First, we construct arbitrage portfolios of similar…

Machine Learning · Computer Science 2022-10-11 Jorge Guijarro-Ordonez , Markus Pelger , Greg Zanotti

In a discrete-time setting, we study arbitrage concepts in the presence of convex trading constraints. We show that solvability of portfolio optimization problems is equivalent to absence of arbitrage of the first kind, a condition weaker…

Mathematical Finance · Quantitative Finance 2022-02-21 Claudio Fontana , Wolfgang J. Runggaldier

We design a prediction market to recover a complete and fully general probability distribution over a random variable. Traders buy and sell interval securities that pay \$1 if the outcome falls into an interval and \$0 otherwise. Our market…

Computer Science and Game Theory · Computer Science 2021-02-17 Miroslav Dudík , Xintong Wang , David M. Pennock , David M. Rothschild

A range of empirical puzzles in finance has been explained as a consequence of traders being averse to ambiguity. Ambiguity averse traders can behave in financial portfolio problems in ways that cannot be rationalized as maximizing…

Theoretical Economics · Economics 2022-08-24 Michael Greinecker , Christoph Kuzmics

The paper develops no arbitrage results for trajectory based models by imposing general constraints on the trading portfolios. The main condition imposed, in order to avoid arbitrage opportunities, is a local continuity requirement on the…

Probability · Mathematics 2015-01-19 Alexander Alvarez , Sebastian Ferrando

We study the most famous example of a large financial market: the Arbitrage Pricing Model, where investors can trade in a one-period setting with countably many assets admitting a factor structure. We consider the problem of maximising…

Portfolio Management · Quantitative Finance 2020-10-06 Laurence Carassus , Miklos Rasonyi

Opportunities for stochastic arbitrage in an options market arise when it is possible to construct a portfolio of options which provides a positive option premium and which, when combined with a direct investment in the underlying asset,…

Computational Finance · Quantitative Finance 2025-01-23 Brendan K. Beare , Juwon Seo , Zhongxi Zheng

We develop a method using parameterized linear equations to define trading mechanisms in market design models. Our method adeptly addresses challenges arising from factors such as complex endowments or coarse priorities, while offering…

Theoretical Economics · Economics 2025-08-18 Jingsheng Yu , Jun Zhang

We explore a nuance to 'no arbitrage' in relation to 'information efficiency': acting immediately on an arbitrage is sometimes suboptimal; in such cases optimised trading can suppress the anticipation of predictable risk-outcomes, thereby…

Mathematical Finance · Quantitative Finance 2026-05-12 Kangda Ken Wren

Exchange markets are a significant type of market economy, in which each agent holds a budget and certain (divisible) resources available for trading. Most research on equilibrium in exchange economies is based on an environment of…

Computer Science and Game Theory · Computer Science 2024-10-10 Yusen Zheng , Yukun Cheng , Chenyang Xu , Xiaotie Deng

The notion that economies should normally be in equilibrium is by now well-established; equally well-established is that economies are almost never precisely in equilibrium. Using a very general formulation, we show that under dynamics that…

General Finance · Quantitative Finance 2012-02-28 Eric Kemp-Benedict

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

Contract scheduling is a general technique that allows to design a system with interruptible capabilities, given an algorithm that is not necessarily interruptible. Previous work on this topic has largely assumed that the interruption is a…

Artificial Intelligence · Computer Science 2020-11-26 Spyros Angelopoulos , Shahin Kamali

Traditional blockchain design gives miners or validators full control over transaction ordering, i.e., they can freely choose which transactions to include or exclude, as well as in which order. While not an issue initially, the emergence…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-19 Andrei Constantinescu , Diana Ghinea , Lioba Heimbach , Zilin Wang , Roger Wattenhofer

We introduce a new model in order to describe the fluctuation of tick-by-tick financial time series. Our model, based on marked point process, allows us to incorporate in a unique process the duration of the transaction and the…

Trading and Market Microstructure · Quantitative Finance 2012-11-21 Alexis Fauth , Ciprian A. Tudor

Tradable mobility credit (TMC) schemes are an approach to travel demand management that have received significant attention in recent years. This paper proposes and analyzes alternative market models for a TMC system -- focusing on market…