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We model the impact costs of a strategy that trades a basket of correlated instruments, by extending to the multivariate case the linear propagator model previously used for single instruments. Our specification allows us to calibrate a…

Trading and Market Microstructure · Quantitative Finance 2017-08-23 Iacopo Mastromatteo , Michael Benzaquen , Zoltan Eisler , Jean-Philippe Bouchaud

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…

Portfolio Management · Quantitative Finance 2014-08-28 Maxim Bichuch , Ronnie Sircar

We revisit optimal execution of an active portfolio in the presence of slippage (aka linear, proportional, or absolute-value) costs. Market efficiency implies a close balance between active alphas and trading costs, so even small changes to…

Portfolio Management · Quantitative Finance 2021-10-29 Michael Isichenko

This work takes up the challenges of utility maximization problem when the market is indivisible and the transaction costs are included. First there is a so-called solvency region given by the minimum margin requirement in the problem…

Portfolio Management · Quantitative Finance 2010-03-16 Qingshuo Song , G. Yin , Chao Zhu

This paper examines a trade execution game for two large traders in a generalized price impact model. We incorporate a stochastic and sequentially dependent factor that exogenously affects the market price into financial markets. Our model…

Trading and Market Microstructure · Quantitative Finance 2024-05-14 Masamitsu Ohnishi , Makoto Shimoshimizu

We consider an agent who needs to buy (or sell) a relatively small amount of asset over some fixed short time interval. We work at the highest frequency meaning that we wish to find the optimal tactic to execute our quantity using limit…

Trading and Market Microstructure · Quantitative Finance 2018-03-16 Charles-Albert Lehalle , Othmane Mounjid , Mathieu Rosenbaum

This paper studies a finite-horizon portfolio selection problem with non-concave terminal utility and proportional transaction costs, in which the commonly used concavification principle for terminal value is no longer applicable. We…

Mathematical Finance · Quantitative Finance 2025-06-04 Shuaijie Qian , Chen Yang

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

In the seminal paper on optimal execution of portfolio transactions, Almgren and Chriss (2001) define the optimal trading strategy to liquidate a fixed volume of a single security under price uncertainty. Yet there exist situations, such as…

Trading and Market Microstructure · Quantitative Finance 2022-12-06 Julien Vaes , Raphael Hauser

This paper studies the utility maximization on the terminal wealth with random endowments and proportional transaction costs. To deal with unbounded random payoffs from some illiquid claims, we propose to work with the acceptable portfolios…

Mathematical Finance · Quantitative Finance 2018-08-27 Erhan Bayraktar , Xiang Yu

In the large financial market, which is described by a model with countably many traded assets, we formulate the problem of the expected utility maximization. Assuming that the preferences of an economic agent are modeled with a stochastic…

Portfolio Management · Quantitative Finance 2014-10-21 Oleksii Mostovyi

In a market with one safe and one risky asset, an investor with a long horizon, constant investment opportunities, and constant relative risk aversion trades with small proportional transaction costs. We derive explicit formulas for the…

Portfolio Management · Quantitative Finance 2013-01-15 Stefan Gerhold , Paolo Guasoni , Johannes Muhle-Karbe , Walter Schachermayer

The classical optimal investment and consumption problem with infinite horizon is studied in the presence of transaction costs. Both proportional and fixed costs as well as general utility functions are considered. Weak dynamic programming…

Portfolio Management · Quantitative Finance 2016-10-14 Albert Altarovici , Max Reppen , H. Mete Soner

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…

Portfolio Management · Quantitative Finance 2009-11-25 Gerardo Hernandez-del-Valle , Carlos Pacheco-Gonzalez

We present an optimal investment theorem for a currency exchange model with random and possibly discontinuous proportional transaction costs. The investor's preferences are represented by a multivariate utility function, allowing for…

Probability · Mathematics 2009-04-08 Luciano Campi , Mark P. Owen

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…

Trading and Market Microstructure · Quantitative Finance 2015-06-10 Aurélien Alfonsi , Pierre Blanc

We investigate expected utility maximization problems from the terminal liquidation value in continuous time in markets with transaction costs and one fixed consistent price system, where a non-concave utility function is defined on the…

Optimization and Control · Mathematics 2024-09-10 Lingqi Gu , Yiqing Lin

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…

Mathematical Finance · Quantitative Finance 2023-08-25 Jean-Pierre Fouque , Sebastian Jaimungal , Yuri F. Saporito

Modern blockchains increasingly rely on parallel execution to improve throughput. We show several industry and academic transaction fee mechanisms (TFMs) struggle to simultaneously account for execution parallelism while remaining…

Cryptography and Security · Computer Science 2026-04-07 Sarisht Wadhwa , Aviv Yaish , Fan Zhang , Kartik Nayak

We investigate the general structure of optimal investment and consumption with small proportional transaction costs. For a safe asset and a risky asset with general continuous dynamics, traded with random and time-varying but small…

Portfolio Management · Quantitative Finance 2015-05-18 Jan Kallsen , Johannes Muhle-Karbe