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Agentic AI shifts the investor's role from analytical execution to oversight. We present an agentic strategic asset allocation pipeline in which approximately 50 specialized agents produce capital market assumptions, construct portfolios…

Artificial Intelligence · Computer Science 2026-04-03 Andrew Ang , Nazym Azimbayev , Andrey Kim

In this work, we introduce Modern Portfolio Theory using basic concepts from linear algebra, differential calculus, statistics, and optimization. This theory allows us to measure the return and risk of an investment portfolio, serving as a…

Optimization and Control · Mathematics 2024-07-30 Orizon P. Ferreira , Guilherme. A. Franca , Max V. Lemes

In this article we deal with the problem of portfolio allocation by enhancing network theory tools. We use the dependence structure of the correlations network in constructing some well-known risk-based models in which the estimation of…

Portfolio Management · Quantitative Finance 2022-04-14 Gian Paolo Clemente , Rosanna Grassi , Asmerilda Hitaj

Stock exchanges are considered major players in financial sectors of many countries. Most Stockbrokers, who execute stock trade, use technical, fundamental or time series analysis in trying to predict stock prices, so as to advise clients.…

Statistical Finance · Quantitative Finance 2015-02-24 B. W. Wanjawa , L. Muchemi

We study a systematic approach to a popular Statistical Arbitrage technique: Pairs Trading. Instead of relying on two highly correlated assets, we replace the second asset with a replication of the first using risk factor representations.…

Statistical Finance · Quantitative Finance 2025-12-03 Marek Adamczyk , Michał Dąbrowski

A new methodology has been introduced to clean the correlation matrix of single stocks returns based on a constrained principal component analysis using financial data. Portfolios were introduced, namely "Fundamental Maximum Variance…

Portfolio Management · Quantitative Finance 2020-01-27 Sebastien Valeyre

Recursive Multi-Agent Trading System (RMATS) integrates four specialized agents -- Sentiment, Report, Analysis, and Risk -- coordinated through a recursive Manager Agent with iterative feedback loops. Experimental evaluation over a…

Multiagent Systems · Computer Science 2026-05-26 Jing Yang , Yichao Wu , Jianan Liu , Penghao Liang , Mengwei Yuan , Xianyou Li , Weiran Yan

The formulaic alphas are mathematical formulas that transform raw stock data into indicated signals. In the industry, a collection of formulaic alphas is combined to enhance modeling accuracy. Existing alpha mining only employs the neural…

Computational Finance · Quantitative Finance 2024-03-01 Tao Ren , Ruihan Zhou , Jinyang Jiang , Jiafeng Liang , Qinghao Wang , Yijie Peng

An artificial stock market is established based on multi-agent . Each agent has a limit memory of the history of stock price, and will choose an action according to his memory and trading strategy. The trading strategy of each agent evolves…

Other Condensed Matter · Physics 2009-11-10 Chun-Xia Yang , Tao Zhou , Pei-Ling Zhou , Jun Liu , Zi-Nan Tang

Dynamic Portfolio optimization is the process of distribution and rebalancing of a fund into different financial assets such as stocks, cryptocurrencies, etc, in consecutive trading periods to maximize accumulated profits or minimize risks…

Portfolio Management · Quantitative Finance 2021-02-15 Kumar Yashaswi

We consider how to optimally allocate investments in a portfolio of competing technologies using the standard mean-variance framework of portfolio theory. We assume that technologies follow the empirically observed relationship known as…

Economics · Quantitative Finance 2018-08-28 Rupert Way , François Lafond , Fabrizio Lillo , Valentyn Panchenko , J. Doyne Farmer

Portfolio selection in the periodic investment of securities modeled by a multivariate Merton model with dependent jumps is considered. The optimization framework is designed to maximize expected terminal wealth when portfolio risk is…

Statistics Theory · Mathematics 2021-04-22 Bahareh Afhami , Mohsen Rezapour , Mohsen Madadi , Vahed Maroufy

Deep Reinforcement learning is a branch of unsupervised learning in which an agent learns to act based on environment state in order to maximize its total reward. Deep reinforcement learning provides good opportunity to model the complexity…

Statistical Finance · Quantitative Finance 2021-08-05 Zhaolu Dong , Shan Huang , Simiao Ma , Yining Qian

In the past, financial stock markets have been studied with previous generations of multi-agent systems (MAS) that relied on zero-intelligence agents, and often the necessity to implement so-called noise traders to sub-optimally emulate…

Trading and Market Microstructure · Quantitative Finance 2019-10-14 J. Lussange , S. Bourgeois-Gironde , S. Palminteri , B. Gutkin

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

We study continuous-time mean--variance portfolio selection in markets where stock prices are diffusion processes driven by observable factors that are also diffusion processes, yet the coefficients of these processes are unknown. Based on…

Portfolio Management · Quantitative Finance 2026-03-31 Yilie Huang , Yanwei Jia , Xun Yu Zhou

In this paper, the optimal mean-reverting portfolio (MRP) design problem is considered, which plays an important role for the statistical arbitrage (a.k.a. pairs trading) strategy in financial markets. The target of the optimal MRP design…

Portfolio Management · Quantitative Finance 2018-03-09 Ziping Zhao , Rui Zhou , Zhongju Wang , Daniel P. Palomar

We introduce predictable relative forward performance processes (PRFPP) as a new framework for studying portfolio management within a competitive and incomplete market environment. Each agent trades a distinct stock following a binomial…

Mathematical Finance · Quantitative Finance 2026-05-08 Gechun Liang , Moris S. Strub , Yuwei Wang

One of the most important features of capital markets as an adaptive complex networks is their collective behavior. In this paper, we have analyzed the banking sectors of 4 world stock markets,which composed of emerging and matures ones. By…

Physics and Society · Physics 2020-11-05 Hanie. Vahabi , Ali Namaki , Reza Raei

Stochastic portfolio theory aims at finding relative arbitrages, i.e. trading strategies which outperform the market with probability one. Functionally generated portfolios, which are deterministic functions of the market weights, are an…

Mathematical Finance · Quantitative Finance 2021-01-19 Patrick Mijatovic