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Mean-variance analysis is widely used in portfolio management to identify the best portfolio that makes an optimal trade-off between expected return and volatility. Yet, this method has its limitations, notably its vulnerability to…

Portfolio Management · Quantitative Finance 2023-11-27 Kwong Yu Chong

This article explores dynamic factor allocation by analyzing the cyclical performance of factors through regime analysis. The authors focus on a U.S. equity investment universe comprising seven long-only indices representing the market and…

Portfolio Management · Quantitative Finance 2024-10-22 Yizhan Shu , John M. Mulvey

This paper introduces a unified framework for adaptive portfolio management, integrating dynamic Black-Litterman (BL) optimization with the general factor model, Elastic Net regression, and mean-variance portfolio optimization, which allows…

Portfolio Management · Quantitative Finance 2024-05-02 Chi-Lin Li , Chung-Han Hsieh

The Black-Litterman model addresses the sensitivity issues of tra- ditional mean-variance optimization by incorporating investor views, but systematically generating these views remains a key challenge. This study proposes and validates a…

Portfolio Management · Quantitative Finance 2025-10-21 Youngbin Lee , Yejin Kim , Juhyeong Kim , Suin Kim , Yongjae Lee

The Black-Litterman model extends the framework of the Markowitz Modern Portfolio Theory to incorporate investor views. We consider a case where multiple view estimates, including uncertainties, are given for the same underlying subset of…

Portfolio Management · Quantitative Finance 2023-02-01 Trent Spears , Stefan Zohren , Stephen Roberts

The Black-Litterman model is a framework for incorporating forward-looking expert views in a portfolio optimization problem. Existing work focuses almost exclusively on single-period problems with the forecast horizon matching that of the…

Portfolio Management · Quantitative Finance 2025-04-17 Anas Abdelhakmi , Andrew Lim

This paper compares a series of contemporary portfolio construction approaches by employing ten U.S. stocks (TSLA, WMT, BAC, GS, LLY, MRK, GOOG, META, AAPL and XOM) in a time frame from September 2023 to December 2025. The paper explores…

Portfolio Management · Quantitative Finance 2026-05-29 Ajay Kumar Verma , Shravya Barkam

In this paper, we consider the basic problem of portfolio construction in financial engineering, and analyze how market-based and analytical approaches can be combined to obtain efficient portfolios. As a first step in our analysis, we…

Optimization and Control · Mathematics 2018-11-26 Burak Kocuk , Gérard Cornuéjols

This paper proposes a portfolio construction framework designed to remain robust under estimation error, non-stationarity, and realistic trading constraints. The methodology combines dynamic asset eligibility, deterministic rebalancing, and…

Optimization and Control · Mathematics 2026-01-12 Roberto Garrone

Modern portfolio construction demands robust methods for integrating data-driven insights into asset allocation. The Black-Litterman model offers a powerful Bayesian approach to adjust equilibrium returns using investor views to form a…

Computational Engineering, Finance, and Science · Computer Science 2025-05-27 Ziye Yang , Ke Lu , Yang Wang , Jerome Yen

Active portfolio management tries to incorporate any source of meaningful information into the asset selection process. In this contribution we consider qualitative views specified as total orders of the expected asset returns and discuss…

Portfolio Management · Quantitative Finance 2023-07-11 Eranda Çela , Stephan Hafner , Roland Mestel , Ulrich Pferschy

This study presents an innovative approach to portfolio optimization by integrating Transformer models with Generative Adversarial Networks (GANs) within the Black-Litterman (BL) framework. Capitalizing on Transformers' ability to discern…

Computational Engineering, Finance, and Science · Computer Science 2024-04-24 Enmin Zhu , Jerome Yen

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 introduce a simple portfolio optimization strategy using ESG data with the Black-Litterman allocation framework. ESG scores are used as a bias for Stein shrinkage estimation of equilibrium risk premiums used in assigning Black-Litterman…

Portfolio Management · Quantitative Finance 2025-12-01 Aviv Alpern , Svetlozar Rachev

The Black-Litterman model combines investors' personal views with historical data and gives optimal portfolio weights. In this paper we will introduce the original Black-Litterman model (section 1), we will modify the model such that it…

Statistical Finance · Quantitative Finance 2018-12-27 Mihnea S. Andrei , John S. J. Hsu

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

Deep reinforcement learning (DRL) has been widely studied in the portfolio management task. However, it is challenging to understand a DRL-based trading strategy because of the black-box nature of deep neural networks. In this paper, we…

Portfolio Management · Quantitative Finance 2021-12-21 Mao Guan , Xiao-Yang Liu

Modeling and managing portfolio risk is perhaps the most important step to achieve growing and preserving investment performance. Within the modern portfolio construction framework that built on Markowitz's theory, the covariance matrix of…

Risk Management · Quantitative Finance 2021-10-28 Hengxu Lin , Dong Zhou , Weiqing Liu , Jiang Bian

In this review, we provide practical guidance on some of the main machine learning tools used in portfolio weight formation. This is not an exhaustive list, but a fraction of the ones used and have some statistical analysis behind it. All…

Portfolio Management · Quantitative Finance 2025-10-01 Mehmet Caner Qingliang Fan

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
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