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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

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

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

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

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

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

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

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 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

\begin{abstract} In this paper, we integrated the statistical arbitrage strategy, pairs trading, into the Black-Litterman model and constructed efficient mean-variance portfolios. Typically, pairs trading underperforms under volatile or…

Computational Finance · Quantitative Finance 2024-06-12 Qiqin Zhou

Existing black-box portfolio management systems are prevalent in the financial industry due to commercial and safety constraints, though their performance can fluctuate dramatically with changing market regimes. Evaluating these…

Machine Learning · Computer Science 2026-04-30 Zinuo You , John Cartlidge , Karen Elliott , Menghan Ge , Daniel Gold

In this paper, we study the Black-Litterman (BL) asset allocation model (Black and Litterman, 1990) under the hidden truncation skew-normal distribution (Arnold and Beaver, 2000). In particular, when returns are assumed to follow this skew…

Portfolio Management · Quantitative Finance 2023-10-20 Jungjun Park , Andrew L. Nguyen

This paper presents a portfolio construction process, including mainly two parts, Factors Selection and Weight Allocations. For the factors selection part, We have chosen 20 factors by considering three aspects, the global market, different…

Portfolio Management · Quantitative Finance 2023-11-09 Fanyu Zhao

While investment funds publicly disclose their objectives in broad terms, their managers optimize for complex combinations of competing goals that go beyond simple risk-return trade-offs. Traditional approaches attempt to model this through…

Portfolio Management · Quantitative Finance 2025-10-31 Maarten P. Scholl , Mahmoud Mahfouz , Anisoara Calinescu , J. Doyne Farmer

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

Continuous latent time series models are prevalent in Bayesian modeling; examples include the Kalman filter, dynamic collaborative filtering, or dynamic topic models. These models often benefit from structured, non mean field variational…

Machine Learning · Statistics 2017-07-05 Robert Bamler , Stephan Mandt

The standard approach for constructing a Mean-Variance portfolio involves estimating parameters for the model using collected samples. However, since the distribution of future data may not resemble that of the training set, the…

Mathematical Finance · Quantitative Finance 2025-03-12 Duy Khanh Lam

Factor analysis aims to determine latent factors, or traits, which summarize a given data set. Inter-battery factor analysis extends this notion to multiple views of the data. In this paper we show how a nonlinear, nonparametric version of…

Machine Learning · Statistics 2016-04-19 Andreas Damianou , Neil D. Lawrence , Carl Henrik Ek

To address three important issues involved in latent variable models (LVMs), including capturing infrequent patterns, achieving small-sized but expressive models and alleviating overfitting, several studies have been devoted to…

Machine Learning · Computer Science 2017-11-27 Pengtao Xie , Jun Zhu , Eric P. Xing
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