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We study a continuous-time portfolio optimization problem under an explicit constraint on the Deviation Conditional Value-at-Risk (DCVaR), defined as the difference between the CVaR and the expected terminal wealth. While the mean-CVaR…

Optimization and Control · Mathematics 2025-10-01 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

Risk budgeting is a portfolio strategy where each asset contributes a prespecified amount to the aggregate risk of the portfolio. In this work, we propose an efficient numerical framework that uses only simulations of returns for estimating…

Portfolio Management · Quantitative Finance 2023-02-03 Bernardo Freitas Paulo da Costa , Silvana M. Pesenti , Rodrigo S. Targino

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…

Optimization and Control · Mathematics 2024-07-15 Ahmad Mousavi , George Michailidis

We construct a deep portfolio theory. By building on Markowitz's classic risk-return trade-off, we develop a self-contained four-step routine of encode, calibrate, validate and verify to formulate an automated and general portfolio…

Portfolio Management · Quantitative Finance 2018-01-16 J. B. Heaton , N. G. Polson , J. H. Witte

We propose a novel portfolio selection approach that manages to ease some of the problems that characterise standard expected utility maximisation. The optimal portfolio is no longer defined as the extremum of a suitably chosen utility…

Condensed Matter · Physics 2009-09-29 P. Rossi , M. Tavoni , F. Cocco , R. Marschinski

We develop a efficient, easy-to-implement, and strictly monotone numerical integration method for Mean-Variance (MV) portfolio optimization in realistic contexts, which involve jump-diffusion dynamics of the underlying controlled processes,…

Computational Finance · Quantitative Finance 2023-09-13 Hanwen Zhang , Duy-Minh Dang

Several portfolio selection models take into account practical limitations on the number of assets to include and on their weights in the portfolio. We present here a study of the Limited Asset Markowitz (LAM), of the Limited Asset Mean…

Portfolio Management · Quantitative Finance 2019-05-08 Francesco Cesarone , Andrea Scozzari , Fabio Tardella

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

This paper studies a continuous-time market where an agent, having specified an investment horizon and a targeted terminal mean return, seeks to minimize the variance of the return. The optimal portfolio of such a problem is called…

Probability · Mathematics 2008-12-02 Xun Li , Xun Yu Zhou

In this paper we apply a heuristic method based on artificial neural networks in order to trace out the efficient frontier associated to the portfolio selection problem. We consider a generalization of the standard Markowitz mean-variance…

Neural and Evolutionary Computing · Computer Science 2007-07-30 Alberto Fernandez , Sergio Gomez

Effectively encoding inequality constraints is a primary obstacle in applying quantum algorithms to financial optimization. A quantum model for Markowitz portfolio optimization is presented that resolves this by embedding slack variables…

Optimization and Control · Mathematics 2026-01-08 Pablo Thomassin , Guillaume Guerard , Sonia Djebali , Vincent Marc Lambert

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

In matter of Portfolio selection, we consider a generalization of the Markowitz Mean-Variance model which includes buy-in threshold constraints. These constraints limit the amount of capital to be invested in each asset and prevent very…

Computational Engineering, Finance, and Science · Computer Science 2016-11-18 Hoai An Le Thi , Mahdi Moeini

The paper solves the problem of optimal portfolio choice when the parameters of the asset returns distribution, like the mean vector and the covariance matrix are unknown and have to be estimated by using historical data of the asset…

Statistical Finance · Quantitative Finance 2023-04-19 David Bauder , Taras Bodnar , Nestor Parolya , Wolfgang Schmid

We propose a new approach to portfolio optimization that utilizes a unique combination of synthetic data generation and a CVaR-constraint. We formulate the portfolio optimization problem as an asset allocation problem in which each asset…

Portfolio Management · Quantitative Finance 2024-05-17 José-Manuel Peña , Fernando Suárez , Omar Larré , Domingo Ramírez , Arturo Cifuentes

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…

Optimization and Control · Mathematics 2020-08-10 Ken Kobayashi , Yuichi Takano , Kazuhide Nakata

One of the problems in quantitative finance that has received the most attention is the portfolio optimization problem. Regarding its solving, this problem has been approached using different techniques, with those related to quantum…

Artificial Intelligence · Computer Science 2023-09-28 Eneko Osaba , Guillaume Gelabert , Esther Villar-Rodriguez , Antón Asla , Izaskun Oregi

We study an optimization-based approach to con- struct a mean-reverting portfolio of assets. Our objectives are threefold: (1) design a portfolio that is well-represented by an Ornstein-Uhlenbeck process with parameters estimated by maximum…

Portfolio Management · Quantitative Finance 2018-03-20 Jize Zhang , Tim Leung , Aleksandr Y. Aravkin

Traditional Markowitz portfolio optimization constrains daily portfolio variance to a target value, optimising returns, Sharpe or variance within this constraint. However, this approach overlooks the relationship between variance at…

Portfolio Management · Quantitative Finance 2024-11-22 Revant Nayar , Raphael Douady

Metaheuristic algorithms for cardinality-constrained portfolio optimization require repair operators to map infeasible candidates onto the feasible region. Standard Euclidean projection treats assets as independent and can ignore the…

Portfolio Management · Quantitative Finance 2025-12-24 Nikolaos Iliopoulos