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We study optimal trade execution strategies in financial markets with discrete order flow. The agent has a finite liquidation horizon and must minimize price impact given a random number of incoming trade counterparties. Assuming that the…

交易与市场微观结构 · 定量金融 2012-05-07 Erhan Bayraktar , Mike Ludkovski

Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution…

交易与市场微观结构 · 定量金融 2015-06-05 Enzo Busseti , Fabrizio Lillo

We study a linear price impact model including other liquidity takers, whose flow of orders either follows a Poisson or a Hawkes process. The optimal execution problem is solved explicitly in this context, and the closed-formula optimal…

交易与市场微观结构 · 定量金融 2015-06-10 Aurélien Alfonsi , Pierre Blanc

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

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…

数理金融 · 定量金融 2022-10-26 Alex S. L. Tse , Harry Zheng

In this research, we develop a trading strategy for the discrete-time optimal liquidation problem of large order trading with different market microstructures in an illiquid market. In this framework, the flow of orders can be viewed as a…

交易与市场微观结构 · 定量金融 2015-12-29 A. Sadoghi , J. Vecer

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

This paper studies four trading algorithms of a professional trader at a multilateral trading facility, observing a realistic two-sided limit order book whose dynamics are driven by the order book events. The identity of the trader can be…

交易与市场微观结构 · 定量金融 2015-01-13 Qinghua Li

In this paper we derive the optimal execution trajectory for a trader who wishes to buy or sell a large position of shares which evolve as a geometric Brownian process in contrast to the arithmetic model which prevails in the existing…

投资组合管理 · 定量金融 2009-11-25 Gerardo Hernandez-del-Valle , Carlos Pacheco-Gonzalez

We study the problem of optimal risk policies and dividend strategies for an insurance company operating under the constraint that the timing of shareholder payouts is governed by the arrival times of a Poisson process. Concurrently, risk…

最优化与控制 · 数学 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco

We study the optimal order placement strategy with the presence of a liquidity cost. In this problem, a stock trader wishes to clear her large inventory by a predetermined time horizon $T$. A trader uses both limit and market orders, and a…

计算金融 · 定量金融 2020-04-24 Hyoeun Lee , Kiseop Lee

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…

最优化与控制 · 数学 2019-06-27 Dirk Becherer , Todor Bilarev , Peter Frentrup

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

投资组合管理 · 定量金融 2023-06-16 Xiaoyue Li , John M. Mulvey

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

We study a single risky financial asset model subject to price impact and transaction cost over an infinite horizon. An investor needs to execute a long position in the asset affecting the price of the asset and possibly incurring in fixed…

交易与市场微观结构 · 定量金融 2014-09-19 Mauricio Junca

We deal with the optimal execution problem when the broker's goal is to reach a performance barrier avoiding a downside barrier. The performance is provided by the wealth accumulated by trading in the market, the shares detained by the…

数理金融 · 定量金融 2026-04-27 Emilio Barucci , Yuheng Lan

Trading algorithms that execute large orders are susceptible to exploitation by order anticipation strategies. This paper studies the influence of order anticipation strategies in a multi-investor model of optimal execution under transient…

交易与市场微观结构 · 定量金融 2019-03-12 Elias Strehle

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 revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

计算机科学与博弈论 · 计算机科学 2018-05-08 Arsenii Vanunts , Alexey Drutsa

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 which both order book depth and resilience evolve randomly in time. Trading is allowed in both…

交易与市场微观结构 · 定量金融 2021-04-16 Julia Ackermann , Thomas Kruse , Mikhail Urusov
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