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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

This paper studies the fill probabilities of limit orders placed at different price levels in a limit order book. These probabilities play a central role in execution optimization, as limit orders are not guaranteed to be executed and…

Trading and Market Microstructure · Quantitative Finance 2026-02-09 Felix Lokin , Fenghui Yu

We present a numerically efficient approach for learning a risk-neutral measure for paths of simulated spot and option prices up to a finite horizon under convex transaction costs and convex trading constraints. This approach can then be…

Computational Finance · Quantitative Finance 2021-07-15 Hans Buehler , Phillip Murray , Mikko S. Pakkanen , Ben Wood

We consider the optimal control problem for a linear conditional McKean-Vlasov equation with quadratic cost functional. The coefficients of the system and the weigh-ting matrices in the cost functional are allowed to be adapted processes…

Probability · Mathematics 2017-03-09 Huyên Pham

We investigate the general structure of optimal investment and consumption with small proportional transaction costs. For a safe asset and a risky asset with general continuous dynamics, traded with random and time-varying but small…

Portfolio Management · Quantitative Finance 2015-05-18 Jan Kallsen , Johannes Muhle-Karbe

We develop a framework for price-mediated contagion in financial systems where banks are forced to liquidate assets to satisfy a risk-weight based capital adequacy requirement. In constructing this modeling framework, we introduce a…

Mathematical Finance · Quantitative Finance 2021-02-19 Tathagata Banerjee , Zachary Feinstein

This paper is concerned with the problem of finding the optimal of extraction policies of an oil field in light of various financial and economical restrictions and constraints. Taking into account the fact that the oil price in worldwide…

Optimization and Control · Mathematics 2016-11-07 Moustapha Pemy

When firms want to buy back their own shares, they have a choice between several alternatives. If they often carry out open market repurchase, they also increasingly rely on banks through complex buyback contracts involving option…

Computational Finance · Quantitative Finance 2019-11-05 Olivier Guéant , Iuliia Manziuk , Jiang Pu

In many sequential decision-making problems we may want to manage risk by minimizing some measure of variability in costs in addition to minimizing a standard criterion. Conditional value-at-risk (CVaR) is a relatively new risk measure that…

Artificial Intelligence · Computer Science 2014-07-14 Yinlam Chow , Mohammad Ghavamzadeh

In this article, we develop a general framework to study optimal execution and to price block trades. We prove existence of optimal liquidation strategies and we provide regularity results for optimal strategies under very general…

Trading and Market Microstructure · Quantitative Finance 2014-12-30 Olivier Guéant

The topics treated in this thesis are inherently two-fold. The first part considers the problem of a market maker optimally setting bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders…

Optimization and Control · Mathematics 2020-09-15 Diego Zabaljauregui

In this paper the valuation problem of a European call option in presence of both stochastic volatility and transaction costs is considered. In the limit of small transaction costs and fast mean reversion, an asymptotic expression for the…

Pricing of Securities · Quantitative Finance 2012-11-20 R. E. Caflisch , G. Gambino , M. Sammartino , C. Sgarra

This study explores the design of an efficient rebate policy in auction markets, focusing on a continuous-time setting with competition among market participants. In this model, a stock exchange collects transaction fees from auction…

Trading and Market Microstructure · Quantitative Finance 2025-01-23 Thibaut Mastrolia , Tianrui Xu

We consider the minimization over probability measures of the expected value of a random variable, regularized by relative entropy with respect to a given probability distribution. In the general setting we provide a complete…

Probability · Mathematics 2020-09-29 Joris Bierkens , Hilbert J. Kappen

The stochastic shortest path problem (SSPP) asks to resolve the non-deterministic choices in a Markov decision process (MDP) such that the expected accumulated weight before reaching a target state is maximized. This paper addresses the…

Optimization and Control · Mathematics 2022-04-27 Jakob Piribauer , Ocan Sankur , Christel Baier

We study how to unwind stochastic order flow with minimal transaction costs. Stochastic order flow arises, e.g., in the central risk book (CRB), a centralized trading desk that aggregates order flows within a financial institution. The desk…

Trading and Market Microstructure · Quantitative Finance 2025-11-14 Marcel Nutz , Kevin Webster , Long Zhao

We address a cost optimization problem faced by a user who runs instances of applications in a remote cloud configuration constructed of multiple virtual machines (VMs). Each VM runs a single application instance which can execute tasks…

Networking and Internet Architecture · Computer Science 2019-04-05 Mark Shifrin , Roy Mitrany , Erez Biton , Omer Gurewitz

We consider an agent who needs to buy (or sell) a relatively small amount of asset over some fixed short time interval. We work at the highest frequency meaning that we wish to find the optimal tactic to execute our quantity using limit…

Trading and Market Microstructure · Quantitative Finance 2018-03-16 Charles-Albert Lehalle , Othmane Mounjid , Mathieu Rosenbaum

This work is about optimal order execution, where a large order is split into several small orders to maximize the implementation shortfall. Based on the diversity of cryptocurrency exchanges, we attempt to extract cross-exchange signals by…

Trading and Market Microstructure · Quantitative Finance 2023-07-03 Cong Zheng , Jiafa He , Can Yang

This paper studies the maximization of the weighted sum energy efficiency (WSEE). We derive a first-order optimal algorithm applicable to a wide class of communication scenarios exhibiting very fast convergence. We also discuss how to…

Information Theory · Computer Science 2018-12-19 Bho Matthiesen , Yang Yang , Eduard A. Jorswieck