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Trading frictions are stochastic. They are, moreover, in many instances fast-mean reverting. Here, we study how to optimally trade in a market with stochastic price impact and study approximations to the resulting optimal control problem…

数理金融 · 定量金融 2023-08-25 Jean-Pierre Fouque , Sebastian Jaimungal , Yuri F. Saporito

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…

概率论 · 数学 2023-08-07 Mervan Aksu , Alexandre Popier , Ali Devin Sezer

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…

数理金融 · 定量金融 2018-04-23 Peter Bank , Moritz Voß

We compare optimal static and dynamic solutions in trade execution. An optimal trade execution problem is considered where a trader is looking at a short-term price predictive signal while trading. When the trader creates an instantaneous…

交易与市场微观结构 · 定量金融 2019-07-23 Claudio Bellani , Damiano Brigo , Alex Done , Eyal Neuman

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

Trailing stop is a popular stop-loss trading strategy by which the investor will sell the asset once its price experiences a pre-specified percentage drawdown. In this paper, we study the problem of timing buy and then sell an asset subject…

数理金融 · 定量金融 2019-03-26 Tim Leung , Hongzhong Zhang

We consider a class of optimal liquidation problems where the agent's transactions create transient price impact driven by a Volterra-type propagator along with temporary price impact. We formulate these problems as maximization of a…

交易与市场微观结构 · 定量金融 2025-09-17 Eduardo Abi Jaber , Eyal Neuman

This paper studies an optimal trading problem that incorporates the trader's market view on the terminal asset price distribution and uninformative noise embedded in the asset price dynamics. We model the underlying asset price evolution by…

数理金融 · 定量金融 2018-08-07 Tim Leung , Jiao Li , Xin Li

We study the problem of the optimal execution of a large trade in the presence of nonlinear transient impact. We propose an approach based on homotopy analysis, whereby a well behaved initial strategy is continuously deformed to lower the…

交易与市场微观结构 · 定量金融 2014-12-17 Gianbiagio Curato , Jim Gatheral , Fabrizio Lillo

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…

概率论 · 数学 2014-01-10 Idris Kharroubi , Huyen Pham

We give a complete solution to the problem of minimizing the expected liquidity costs in presence of a general drift when the underlying market impact model has linear transient price impact with exponential resilience. It turns out that…

交易与市场微观结构 · 定量金融 2013-03-05 Christopher Lorenz , Alexander Schied

This paper considers the problem of optimal liquidation of a position in a risky security in a financial market, where price evolution are risky and trades have an impact on price as well as uncertainty in the filling orders. The problem is…

数理金融 · 定量金融 2019-07-16 Xue Cheng , Marina Di Giacinto , Tai-Ho Wang

We study an optimal execution problem in illiquid markets with both instantaneous and persistent price impact and stochastic resilience when only absolutely continuous trading strategies are admissible. In our model the value function can…

最优化与控制 · 数学 2017-11-30 Paulwin Graewe , Ulrich Horst

Optimal trading is a recent field of research which was initiated by Almgren, Chriss, Bertsimas and Lo in the late 90's. Its main application is slicing large trading orders, in the interest of minimizing trading costs and potential…

交易与市场微观结构 · 定量金融 2018-06-05 Charles-Albert Lehalle , Eyal Neuman

We consider an optimal trading problem under a market impact model with endogenous market resistance generated by a sophisticated trader who (partially) detects metaorders and trades against them to exploit price overreactions induced by…

交易与市场微观结构 · 定量金融 2026-02-05 Nathan De Carvalho , Youssef Ouazzani Chahdi , Grégoire Szymanski

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

In this paper, we explore an optimal timing strategy for the trading of price spreads exhibiting mean-reverting characteristics. A sequential optimal stopping framework is formulated to analyze the optimal timings for both entering and…

计算金融 · 定量金融 2024-03-06 Boming Ning , Prakash Chakraborty , Kiseop Lee

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…

交易与市场微观结构 · 定量金融 2018-04-13 Weston Barger , Matthew Lorig

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…

投资组合管理 · 定量金融 2015-07-08 Eyal Neuman , Alexander Schied

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…

数理金融 · 定量金融 2015-03-31 Tim Leung , Yoshihiro Shirai
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