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This paper considers the finite horizon portfolio rebalancing problem in terms of mean-variance optimization, where decisions are made based on current information on asset returns and transaction costs. The study's novelty is that the…

Methodology · Statistics 2025-08-21 Qingliang Fan , Marcelo C. Medeiros , Hanming Yang , Songshan Yang

Generating an investment strategy using advanced deep learning methods in stock markets has recently been a topic of interest. Most existing deep learning methods focus on proposing an optimal model or network architecture by maximizing…

Artificial Intelligence · Computer Science 2020-07-13 Jinho Lee , Raehyun Kim , Seok-Won Yi , Jaewoo Kang

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

Algorithmic trading or Financial robots have been conquering the stock markets with their ability to fathom complex statistical trading strategies. But with the recent development of deep learning technologies, these strategies are becoming…

Portfolio Management · Quantitative Finance 2024-05-06 Ashish Anil Pawar , Vishnureddy Prashant Muskawar , Ritesh Tiku

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

We prove a general duality result for multi-stage portfolio optimization problems in markets with proportional transaction costs. The financial market is described by Kabanov's model of foreign exchange markets over a finite probability…

Portfolio Management · Quantitative Finance 2016-01-25 Robert Bassett , Khoa Le

Once there is a decision of rebalancing or updating a portfolio of funds, the process of changing the current portfolio to the target one, involves a set of transactions that are susceptible of being optimized. This is particularly relevant…

Portfolio Management · Quantitative Finance 2023-11-29 Tomás de la Rosa

This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

Applications · Statistics 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal

In this paper we extend the series of our studies on the properties of an interacting particle model for market microstructure. In our earlier work we defined a Markov process on the majority opinion of the agents, obtained the transition…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Ming Yuen

Recent studies stressed the fact that covariance matrices computed from empirical financial time series appear to contain a high amount of noise. This makes the classical Markowitz Mean-Variance Optimization model unable to correctly…

Optimization and Control · Mathematics 2021-03-03 Justo Puerto , Federica Ricca , Moisés Rodríguez-Madrena , Andrea Scozzari

The application of LLM-based agents in financial investment has shown significant promise, yet existing approaches often require intermediate steps like predicting individual stock movements or rely on predefined, static workflows. These…

Artificial Intelligence · Computer Science 2025-09-26 Taian Guo , Haiyang Shen , JinSheng Huang , Zhengyang Mao , Junyu Luo , Binqi Chen , Zhuoru Chen , Luchen Liu , Bingyu Xia , Xuhui Liu , Yun Ma , Ming Zhang

Multi-period portfolio optimization is important for real portfolio management, as it accounts for transaction costs, path-dependent risks, and the intertemporal structure of trading decisions that single-period models cannot capture.…

Computational Engineering, Finance, and Science · Computer Science 2025-12-16 Yuxuan Linghu , Zhiyuan Liu , Qi Deng

A market portfolio is a portfolio in which each asset is held at a weight proportional to its market value. Functionally generated portfolios are portfolios for which the logarithmic return relative to the market portfolio can be decomposed…

Mathematical Finance · Quantitative Finance 2020-12-29 Ricardo T. Fernholz , Robert Fernholz

An investment portfolio consists of $n$ algorithmic trading strategies, which generate vectors of positions in trading assets. Sign opposite trades (buy/sell) cross each other as strategies are combined in a portfolio. Then portfolio…

Portfolio Management · Quantitative Finance 2024-12-05 A. V. Kuliga , I. N. Shnurnikov

We study the construction and rebalancing of sparse index-tracking portfolios from an operational research perspective, with explicit emphasis on uncertainty quantification and implementability. The decision variables are portfolio weights…

Computational Finance · Quantitative Finance 2025-12-29 Dimitrios Roxanas

This paper studies the time-varying structure of the equity market with respect to market capitalization. First, we analyze the distribution of the 100 largest companies' market capitalizations over time, in terms of inequality,…

Mathematical Finance · Quantitative Finance 2025-02-21 Nick James , Max Menzies

This paper investigates the large sample properties of the variance, weights, and risk of high-dimensional portfolios where the inverse of the covariance matrix of excess asset returns is estimated using a technique called nodewise…

Statistics Theory · Mathematics 2019-10-16 Laurent Callot , Mehmet Caner , Esra Ulasan , A. Özlem Önder

We study empirical covariance matrices in finance. Due to the limited amount of available input information, these objects incorporate a huge amount of noise, so their naive use in optimization procedures, such as portfolio selection, may…

Physics and Society · Physics 2008-12-02 Gabor Papp , Szilard Pafka , Maciej A. Nowak , Imre Kondor

Mean-reverting assets are one of the holy grails of financial markets: if such assets existed, they would provide trivially profitable investment strategies for any investor able to trade them, thanks to the knowledge that such assets…

Statistical Finance · Quantitative Finance 2015-09-22 Marco Cuturi , Alexandre d'Aspremont

Recently, reinforcement learning has achieved remarkable results in various domains, including robotics, games, natural language processing, and finance. In the financial domain, this approach has been applied to tasks such as portfolio…

Computational Finance · Quantitative Finance 2025-08-07 Caio de Souza Barbosa Costa , Anna Helena Reali Costa
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