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In this article we study an optimal stopping/optimal control problem which models the decision facing a risk-averse agent over when to sell an asset. The market is incomplete so that the asset exposure cannot be hedged. In addition to the…

Portfolio Management · Quantitative Finance 2008-12-10 Vicky Henderson , David Hobson

We study $N$-player optimal execution games in an Obizhaeva--Wang model of transient price impact. When the game is regularized by an instantaneous cost on the trading rate, a unique equilibrium exists and we derive its closed form. Whereas…

Trading and Market Microstructure · Quantitative Finance 2026-05-19 Steven Campbell , Marcel Nutz

We solve explicitly a two-dimensional singular control problem of finite fuel type for infinite time horizon. The problem stems from the optimal liquidation of an asset position in a financial market with multiplicative and transient price…

Probability · Mathematics 2019-06-27 Dirk Becherer , Todor Bilarev , Peter Frentrup

We study optimal liquidation of a trading position (so-called block order or meta-order) in a market with a linear temporary price impact (Kyle, 1985). We endogenize the pressure to liquidate by introducing a downward drift in the…

Portfolio Management · Quantitative Finance 2018-05-25 Pavol Brunovský , Aleš Černý , Ján Komadel

We solve the superhedging problem for European options in an illiquid extension of the Black-Scholes model, in which transactions have transient price impact and the costs and the strategies for hedging are affected by physical or cash…

Pricing of Securities · Quantitative Finance 2023-06-13 Dirk Becherer , Todor Bilarev

We prove the existence of an equilibrium in a model with transaction costs and price impact where two agents are incentivized to trade towards a target. The two types of frictions -- price impact and transaction costs -- lead the agents to…

Mathematical Finance · Quantitative Finance 2020-02-20 Eunjung Noh , Kim Weston

In this paper, we study optimal liquidation problems in a randomly-terminated horizon. We consider the liquidation of a large single-asset portfolio with the aim of minimizing a combination of volatility risk and transaction costs arising…

Trading and Market Microstructure · Quantitative Finance 2017-09-19 Qing-Qing Yang , Wai-Ki Ching , Jia-Wen Gu , Tak Kwong Wong

We consider an investor that trades continuously and wants to liquidate an initial asset position within a prescribed time interval. During the execution of the liquidation order the investor is subject to execution risk. We study the…

Optimization and Control · Mathematics 2020-11-09 Lorella Fatone , Francesca Mariani

In a one-sided limit order book, satisfying some realistic assumptions, where the unaffected price process follows a Levy process, we consider a market agent that wants to liquidate a large position of shares. We assume that the agent has…

Trading and Market Microstructure · Quantitative Finance 2020-11-02 Arne Lokka , Junwei Xu

In this article we consider an optimization problem of expected utility maximization of continuous-time trading in a financial market. This trading is constrained by a benchmark for a utility-based shortfall risk measure. The market…

Mathematical Finance · Quantitative Finance 2016-10-28 Oliver Janke

We address the liquidation problem arising from the credit risk management in decentralised finance (DeFi) by formulating it as an ergodic optimal control problem. In decentralised derivatives exchanges, liquidation is triggered whenever…

Trading and Market Microstructure · Quantitative Finance 2024-12-02 Jialun Cao , David Šiška

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

We study a problem of finding an optimal stopping strategy to liquidate an asset with unknown drift. Taking a Bayesian approach, we model the initial beliefs of an individual about the drift parameter by allowing an arbitrary probability…

Mathematical Finance · Quantitative Finance 2015-09-03 Erik Ekström , Juozas Vaicenavicius

We consider an optimal liquidation problem with infinite horizon in the Almgren-Chriss framework, where the unaffected asset price follows a Levy process. The temporary price impact is described by a general function which satisfies some…

Trading and Market Microstructure · Quantitative Finance 2020-09-16 Arne Lokka , Junwei Xu

We consider the multi-period portfolio optimization problem with a single asset that can be held long or short. Due to the presence of transaction costs, maximizing the immediate reward at each period may prove detrimental, as frequent…

Optimization and Control · Mathematics 2025-02-07 Chutian Ma , Paul Smith

We show how inter-asset dependence information derived from market prices of options can lead to improved model-free price bounds for multi-asset derivatives. Depending on the type of the traded option, we either extract correlation…

Mathematical Finance · Quantitative Finance 2023-09-26 Jonathan Ansari , Eva Lütkebohmert , Ariel Neufeld , Julian Sester

We study the problem of the execution of a moderate size order in an illiquid market within the framework of a solvable Markovian model. We suppose that in order to avoid impact costs, a trader decides to execute her order through a unique…

Trading and Market Microstructure · Quantitative Finance 2015-06-09 Iacopo Mastromatteo

The classical literature on optimal liquidation, rooted in Almgren-Chriss models, tackles the optimal liquidation problem using a trade-off between market impact and price risk. Therefore, it only answers the general question of the optimal…

Trading and Market Microstructure · Quantitative Finance 2013-06-18 Olivier Guéant , Charles-Albert Lehalle

A speculative agent with Prospect Theory preference chooses the optimal time to purchase and then to sell an indivisible risky asset to maximize the expected utility of the round-trip profit net of transaction costs. The optimization…

Mathematical Finance · Quantitative Finance 2022-10-26 Alex S. L. Tse , Harry Zheng

Financial contagion has been widely recognized as a fundamental risk to the financial system. Particularly potent is price-mediated contagion, wherein forced liquidations by firms depress asset prices and propagate financial stress,…

Computational Finance · Quantitative Finance 2023-10-06 Zhiyu Cao , Zihan Chen , Prerna Mishra , Hamed Amini , Zachary Feinstein