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We study how trading costs are reflected in equilibrium returns. To this end, we develop a tractable continuous-time risk-sharing model, where heterogeneous mean-variance investors trade subject to a quadratic transaction cost. The…

Portfolio Management · Quantitative Finance 2018-04-06 Bruno Bouchard , Masaaki Fukasawa , Martin Herdegen , Johannes Muhle-Karbe

We consider a stochastic factor financial model where the asset price process and the process for the stochastic factor depend on an observable Markov chain and exhibit an affine structure. We are faced with a finite time investment horizon…

Portfolio Management · Quantitative Finance 2014-03-21 Marcos Escobar , Daniela Neykova , Rudi Zagst

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

In this work, we consider the optimal portfolio selection problem under hard constraints on trading volume amounts when the dynamics of the risky asset returns are governed by a discrete-time approximation of the Markov-modulated geometric…

Portfolio Management · Quantitative Finance 2014-10-07 Vladimir Dombrovskii , Tatyana Obyedko

A constant rebalanced portfolio is an asset allocation algorithm which keeps the same distribution of wealth among a set of assets along a period of time. Recently, there has been work on on-line portfolio selection algorithms which are…

Portfolio Management · Quantitative Finance 2013-02-01 Yoram Singer

We prove that the Omega measure, which considers all moments when assessing portfolio performance, is equivalent to the widely used Sharpe ratio under jointly elliptic distributions of returns. Portfolio optimization of the Sharpe ratio is…

Portfolio Management · Quantitative Finance 2017-04-12 Michael R. Metel , Traian A. Pirvu , Julian Wong

Markets efficiency implies that the stock returns are intrinsically unpredictable, a property that makes markets comparable to random number generators. We present a novel methodology to investigate ultra-high frequency financial data and…

Statistical Finance · Quantitative Finance 2025-11-24 Silvia Onofri , Andrey Shternshis , Stefano Marmi

Portfolio management is an essential component of investment strategy that aims to maximize returns while minimizing risk. This paper explores several portfolio management strategies, including asset allocation, diversification, active…

Portfolio Management · Quantitative Finance 2023-04-13 Soumyadip Sarkar

Beta-sorted portfolios -- portfolios comprised of assets with similar covariation to selected risk factors -- are a popular tool in empirical finance to analyze models of (conditional) expected returns. Despite their widespread use, little…

Econometrics · Economics 2024-11-12 Matias D. Cattaneo , Richard K. Crump , Weining Wang

End-to-end LLM trading agents have moved quickly from research curiosity to a small ecosystem of named systems, including FinCon, FinMem, TradingAgents, FinAgent, QuantAgent, and FLAG-Trader. Several of these report headline Sharpe ratios…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Yuxuan Ye , Jun Han , Ao Hu , Juncheng Bu , Yiyi Chen , Liangjian Wen , Danilo Mandic , Danny Dongning Sun , Xu Yinghui , Zenglin Xu

We adopt deep learning models to directly optimise the portfolio Sharpe ratio. The framework we present circumvents the requirements for forecasting expected returns and allows us to directly optimise portfolio weights by updating model…

Portfolio Management · Quantitative Finance 2021-01-26 Zihao Zhang , Stefan Zohren , Stephen Roberts

We run experimental asset markets to investigate the emergence of excess trading and the occurrence of synchronised trading activity leading to crashes in the artificial markets. The market environment favours early investment in the risky…

General Finance · Quantitative Finance 2015-12-14 Joao da Gama Batista , Domenico Massaro , Jean-Philippe Bouchaud , Damien Challet , Cars Hommes

This thesis develops a mathematical framework for the analysis of continuous-time trading strategies which, in contrast to the classical setting of continuous-time finance, does not rely on stochastic integrals or other probabilistic…

Probability · Mathematics 2016-02-16 Candia Riga

We study a continuous-time financial market with continuous price processes under model uncertainty, modeled via a family $\mathcal{P}$ of possible physical measures. A robust notion ${\rm NA}_{1}(\mathcal{P})$ of no-arbitrage of the first…

Mathematical Finance · Quantitative Finance 2015-07-21 Sara Biagini , Bruno Bouchard , Constantinos Kardaras , Marcel Nutz

This paper proposes a Deep Reinforcement Learning algorithm for financial portfolio trading based on Deep Q-learning. The algorithm is capable of trading high-dimensional portfolios from cross-sectional datasets of any size which may…

Portfolio Management · Quantitative Finance 2021-12-10 Uta Pigorsch , Sebastian Schäfer

Successful quantitative investment usually relies on precise predictions of the future movement of the stock price. Recently, machine learning based solutions have shown their capacity to give more accurate stock prediction and become…

Machine Learning · Computer Science 2021-06-28 Hengxu Lin , Dong Zhou , Weiqing Liu , Jiang Bian

Smart beta, also known as strategic beta or factor investing, is the idea of selecting an investment portfolio in a simple rule-based manner that systematically captures market inefficiencies, thereby enhancing risk-adjusted returns above…

Portfolio Management · Quantitative Finance 2018-08-13 Phil Maguire , Karl Moffett , Rebecca Maguire

Financial markets are inherently non-stationary, driven by complex interactions among macroeconomic regimes, microstructural frictions, and behavioral dynamics. Building quantitative strategies that remain profitable demands the continuous…

Artificial Intelligence · Computer Science 2026-05-08 Yishuo Yuan , Jiayi Sheng , Sirui Zeng , Jiaqi Wang , Jiaheng Liu

This paper studies a type of periodic utility maximization problems for portfolio management in incomplete stochastic factor models with convex trading constraints. The portfolio performance is periodically evaluated on the relative ratio…

Mathematical Finance · Quantitative Finance 2024-11-22 Wenyuan Wang , Kaixin Yan , Xiang Yu

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
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