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In this paper we consider a generalization of the Markowitz's Mean-Variance model under linear transaction costs and cardinality constraints. The cardinality constraints are used to limit the number of assets in the optimal portfolio. The…

计算工程、金融与科学 · 计算机科学 2014-04-15 Mahdi Moeini

A cardinality-constrained portfolio caps the number of stocks to be traded across and within groups or sectors. These limitations arise from real-world scenarios faced by fund managers, who are constrained by transaction costs and client…

最优化与控制 · 数学 2018-10-26 Jize Zhang , Tim Leung , Aleksandr Aravkin

This paper studies a distributionally robust portfolio optimization model with a cardinality constraint for limiting the number of invested assets. We formulate this model as a mixed-integer semidefinite optimization (MISDO) problem by…

最优化与控制 · 数学 2022-12-22 Ken Kobayashi , Yuichi Takano , Kazuhide Nakata

This paper is concerned with portfolio optimization models for creating high-quality lists of recommended items to balance the accuracy and diversity of recommendations. However, the statistics (i.e., expectation and covariance of ratings)…

信息检索 · 计算机科学 2024-10-01 Tomoya Yanagi , Shunnosuke Ikeda , Yuichi Takano

Markowitz mean-variance portfolios with sample mean and covariance as input parameters feature numerous issues in practice. They perform poorly out of sample due to estimation error, they experience extreme weights together with high…

计量经济学 · 经济学 2022-12-29 Wolfgang Karl Härdle , Yegor Klochkov , Alla Petukhina , Nikita Zhivotovskiy

Portfolio optimization has long been dominated by covariance-based strategies, such as the Markowitz Mean-Variance framework. However, these approaches often fail to ensure a balanced risk structure across assets, leading to concentration…

投资组合管理 · 定量金融 2025-08-07 Biswarup Chakraborty

In this paper we propose and discuss different 0-1 linear models in order to solve the cardinality constrained portfolio problem by using factor models. Factor models are used to build portfolios to track indexes, together with other…

投资组合管理 · 定量金融 2020-03-19 Juan Francisco Monge

The measure of portfolio risk is an important input of the Markowitz framework. In this study, we explored various methods to obtain a robust covariance estimators that are less susceptible to financial data noise. We evaluated the…

投资组合管理 · 定量金融 2024-06-04 Qiqin Zhou

The Markowitz mean-variance portfolio optimization model aims to balance expected return and risk when investing. However, there is a significant limitation when solving large portfolio optimization problems efficiently: the large and dense…

投资组合管理 · 定量金融 2023-06-23 Cassidy K. Buhler , Hande Y. Benson

This paper explores the practical approach to portfolio selection methods for investments. The study delves into portfolio theory, discussing concepts such as expected return, variance, asset correlation, and opportunity sets. It also…

投资组合管理 · 定量金融 2024-10-16 Carlos Minutti-Martinez

This paper studies mean-risk portfolio optimization models using the conditional value-at-risk (CVaR) as a risk measure. We also employ a cardinality constraint for limiting the number of invested assets. Solving such a…

最优化与控制 · 数学 2020-08-10 Ken Kobayashi , Yuichi Takano , Kazuhide Nakata

It is well known that the out-of-sample performance of Markowitz's mean-variance portfolio criterion can be negatively affected by estimation errors in the mean and covariance. In this paper we address the problem by regularizing the…

投资组合管理 · 定量金融 2015-10-16 Michael Ho , Zheng Sun , Jack Xin

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…

最优化与控制 · 数学 2021-03-03 Justo Puerto , Federica Ricca , Moisés Rodríguez-Madrena , Andrea Scozzari

The cardinality-constrained mean-variance portfolio problem has garnered significant attention within contemporary finance due to its potential for achieving low risk while effectively managing risks and transaction costs. Instead of…

最优化与控制 · 数学 2024-07-15 Ahmad Mousavi , George Michailidis

This paper makes the Millennium Prize problem P vs NP operational in quantitative finance by studying cardinality-constrained portfolio selection. Starting from the convex Markowitz mean-variance program with CAPM-based expected returns (Rf…

计量经济学 · 经济学 2026-03-18 Davit Gondauri

This paper studies a robust continuous-time Markowitz portfolio selection pro\-blem where the model uncertainty carries on the covariance matrix of multiple risky assets. This problem is formulated into a min-max mean-variance problem over…

投资组合管理 · 定量金融 2017-03-14 Amine Ismail , Huyên Pham

We introduce a universal framework for mean-covariance robust risk measurement and portfolio optimization. We model uncertainty in terms of the Gelbrich distance on the mean-covariance space, along with prior structural information about…

投资组合管理 · 定量金融 2025-10-02 Viet Anh Nguyen , Soroosh Shafiee , Damir Filipović , Daniel Kuhn

Choosing a portfolio of risky assets over time that maximizes the expected return at the same time as it minimizes portfolio risk is a classical problem in Mathematical Finance and is referred to as the dynamic Markowitz problem (when the…

数理金融 · 定量金融 2020-01-20 Gabriela Kováčová , Birgit Rudloff

The aim of this paper is to study the optimal investment problem by using coherent acceptability indices (CAIs) as a tool to measure the portfolio performance. We call this problem the acceptability maximization. First, we study the…

数理金融 · 定量金融 2020-12-23 Gabriela Kováčová , Birgit Rudloff , Igor Cialenco

We consider the problem of optimizing a portfolio of financial assets, where the number of assets can be much larger than the number of observations. The optimal portfolio weights require estimating the inverse covariance matrix of excess…

投资组合管理 · 定量金融 2021-09-29 Anik Burman , Sayantan Banerjee
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