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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…

数理金融 · 定量金融 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

In this article we consider the Merton problem in a market with a single risky asset and transaction costs. We give a complete solution of the problem up to the solution of a free-boundary problem for a first-order differential equation,…

数理金融 · 定量金融 2016-12-05 David Hobson , Alex S. L. Tse , Yeqi Zhu

We study the optimal execution of market and limit orders with permanent and temporary price impacts as well as uncertainty in the filling of limit orders. Our continuous-time model incorporates a trade speed limiter and a trader director…

数理金融 · 定量金融 2017-04-13 Brian Bulthuis , Julio Concha , Tim Leung , Brian Ward

Environments with fixed adjustment costs such as transaction costs or \lq menu costs\rq$ $ are widespread within economic systems. The presence of fixed minimal adjustment costs produces adjustment stickiness so that agents must choose a…

最优化与控制 · 数学 2019-10-09 David Mguni

We study an optimal liquidation problem with multiplicative price impact in which the trend of the asset's price is an unobservable Bernoulli random variable. The investor aims at selling over an infinite time-horizon a fixed amount of…

数理金融 · 定量金融 2022-11-28 Felix Dammann , Giorgio Ferrari

We study a problem of optimal investment/consumption over an infinite horizon in a market consisting of two possibly correlated assets: one liquid and one illiquid. The liquid asset is observed and can be traded continuously, while the…

投资组合管理 · 定量金融 2015-03-20 Salvatore Federico , Paul Gassiat , Fausto Gozzi

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

数理金融 · 定量金融 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

In a fixed time horizon, appropriately executing a large amount of a particular asset -- meaning a considerable portion of the volume traded within this frame -- is challenging. Especially for illiquid or even highly liquid but also highly…

数理金融 · 定量金融 2023-08-15 David Evangelista , Yuri Thamsten

In this paper we explore optimal liquidation in a market populated by a number of heterogeneous market makers that have limited inventory-carrying and risk-bearing capacity. We derive a reduced form model for the dynamic of their aggregated…

交易与市场微观结构 · 定量金融 2022-09-01 Marina Di Giacinto , Claudio Tebaldi , Tai-Ho Wang

Minimizing execution costs for large orders is a fundamental challenge in finance. Firms often depend on brokers to manage their trades due to limited internal resources for optimizing trading strategies. This paper presents a methodology…

交易与市场微观结构 · 定量金融 2024-06-05 Zoltan Eisler , Johannes Muhle-Karbe

Two major financial market complexities are transaction costs and uncertain volatility, and we analyze their joint impact on the problem of portfolio optimization. When volatility is constant, the transaction costs optimal investment…

投资组合管理 · 定量金融 2014-08-28 Maxim Bichuch , Ronnie Sircar

We study an optimal execution problem with uncertain market impact to derive a more realistic market model. We construct a discrete-time model as a value function for optimal execution. Market impact is formulated as the product of a…

交易与市场微观结构 · 定量金融 2015-06-23 Kensuke Ishitani , Takashi Kato

An investor with constant relative risk aversion trades a safe and several risky assets with constant investment opportunities. For a small fixed transaction cost, levied on each trade regardless of its size, we explicitly determine the…

投资组合管理 · 定量金融 2013-10-23 Albert Altarovici , Johannes Muhle-Karbe , H. Mete Soner

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…

最优化与控制 · 数学 2025-02-07 Chutian Ma , Paul Smith

We study the problem of option pricing and hedging strategies within the frame-work of risk-return arguments. An economic agent is described by a utility function that depends on profit (an expected value) and risk (a variance). In the…

统计力学 · 物理学 2008-12-02 Erik Aurell , Karol Życzkowski

We present a method for obtaining approximate solutions to the problem of optimal execution, based on a signature method. The framework is general, only requiring that the price process is a geometric rough path and the price impact…

计算金融 · 定量金融 2019-05-03 Jasdeep Kalsi , Terry Lyons , Imanol Perez Arribas

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payoff rate that is a function of a stochastic economic…

最优化与控制 · 数学 2018-06-05 Mihail Zervos , Carlos Oliveira , Kate Duckworth

We investigate the well-posedness in the Hadamard sense and the absence of price manipulation in the optimal execution problem within the Almgren-Chriss framework, where the temporary and permanent impact parameters vary deterministically…

最优化与控制 · 数学 2026-03-20 Gianluca Palmari , Fabrizio Lillo , Zoltan Eisler

Optimal trading strategies for pairs trading have been studied by models that try to find either optimal shares of stocks by assuming no transaction costs or optimal timing of trading fixed numbers of shares of stocks with transaction…

交易与市场微观结构 · 定量金融 2019-11-26 Haipeng Xing

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…

投资组合管理 · 定量金融 2008-12-10 Vicky Henderson , David Hobson