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Related papers: Optimal liquidation trajectories for the Almgren-C…

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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 solve explicitly the Almgren-Chriss optimal liquidation problem where the stock price process follows a geometric Brownian motion. Our technique is to work in terms of cash and to use functional analysis tools. We show that this…

Trading and Market Microstructure · Quantitative Finance 2020-06-25 Bastien Baldacci , Jerome Benveniste

We assume a continuous-time price impact model similar to Almgren-Chriss but with the added assumption that the price impact parameters are stochastic processes modeled as correlated scalar Markov diffusions. In this setting, we develop…

Trading and Market Microstructure · Quantitative Finance 2018-04-13 Weston Barger , Matthew Lorig

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

In this paper, we generalize the Almgren-Chriss's market impact model to a more realistic and flexible framework and employ it to derive and analyze some aspects of optimal liquidation problem in a security market. We illustrate how a…

Trading and Market Microstructure · Quantitative Finance 2017-08-07 Qing-Qing Yang , Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu

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

The classical optimal trading problem is the closure of a position in an asset over a time interval; the trader maximizes an expected utility under the constraint that the position be fully closed by terminal time. Since the asset price is…

Probability · Mathematics 2023-08-07 Mervan Aksu , Alexandre Popier , Ali Devin Sezer

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

This paper studies the optimal liquidation of stocks in the presence of temporary and permanent price impacts, and we focus in the case of cryptocurrencies. We start by presenting analytical solutions to the problem with linear temporary…

Trading and Market Microstructure · Quantitative Finance 2023-03-20 Hugo E. Ramirez , Julián Fernando Sanchez

We study optimal trading in an Almgren-Chriss model with running and terminal inventory costs and general predictive signals about price changes. As a special case, this allows to treat optimal liquidation in "target zone models": asset…

Trading and Market Microstructure · Quantitative Finance 2018-08-03 Christoph Belak , Johannes Muhle-Karbe , Kevin Ou

We introduce a price impact model which accounts for finite market depth, tightness and resilience. Its coupled bid- and ask-price dynamics induce convex liquidity costs. We provide existence of an optimal solution to the classical problem…

Mathematical Finance · Quantitative Finance 2018-04-23 Peter Bank , Moritz Voß

In this paper we discuss the optimal liquidation over a finite time horizon until the exit time. The drift and diffusion terms of the asset price are general functions depending on all variables including control and market regime. There is…

Portfolio Management · Quantitative Finance 2014-10-02 Baojun Bian , Nan Wu , Harry Zheng

We study the problem of asset liquidation in financial systems. During financial crises, asset liquidation is often inevitable but can lead to substantial losses if a significant amount of illiquid assets are sold simultaneously at…

Risk Management · Quantitative Finance 2026-03-18 Dohyun Ahn , Hongyi Jiang

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

Probability · Mathematics 2014-01-10 Idris Kharroubi , Huyen Pham

This paper presents an optimal strategy for portfolio liquidation under discrete time conditions. We assume that N risky assets held will be liquidated according to the same time interval and order quantity, and the basic price processes of…

Trading and Market Microstructure · Quantitative Finance 2021-03-30 Qixuan Luo , Yu Shi , Handong Li

This paper studies the risk-adjusted optimal timing to liquidate an option at the prevailing market price. In addition to maximizing the expected discounted return from option sale, we incorporate a path-dependent risk penalty based on…

Mathematical Finance · Quantitative Finance 2015-03-31 Tim Leung , Yoshihiro Shirai

We study a multiplicative transient price impact model for an illiquid financial market, where trading causes price impact which is multiplicative in relation to the current price, transient over time with finite rate of resilience, and…

Optimization and Control · Mathematics 2019-06-27 Dirk Becherer , Todor Bilarev , Peter Frentrup

We study optimal buying and selling strategies in target zone models. In these models the price is modeled by a diffusion process which is reflected at one or more barriers. Such models arise for example when a currency exchange rate is…

Portfolio Management · Quantitative Finance 2015-07-08 Eyal Neuman , Alexander Schied

We study optimal liquidation strategies under partial information for a single asset within a finite time horizon. We propose a model tailored for high-frequency trading, capturing price formation driven solely by order flow through…

Mathematical Finance · Quantitative Finance 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

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
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