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Portfolio optimization involves determining the optimal allocation of portfolio assets in order to maximize a given investment objective. Traditionally, some form of mean-variance optimization is used with the aim of maximizing returns…

Artificial Intelligence · Computer Science 2024-03-26 Fernando Acero , Parisa Zehtabi , Nicolas Marchesotti , Michael Cashmore , Daniele Magazzeni , Manuela Veloso

Understanding the dependencies among financial assets is critical for portfolio optimization. Traditional approaches based on correlation networks often fail to capture the nonlinear and directional relationships that exist in financial…

Portfolio Management · Quantitative Finance 2025-01-15 Riccardo De Blasis , Luca Galati , Filippo Petroni

We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external…

Physics and Society · Physics 2008-12-02 Stefano Ciliberti , Imre Kondor , Marc Mezard

This paper uses simulation-based portfolio optimization to mitigate the left tail risk of the portfolio. The contribution is twofold. (i) We propose the Markov regime-switching GARCH model with multivariate normal tempered stable innovation…

Risk Management · Quantitative Finance 2023-02-03 Cheng Peng , Young Shin Kim , Stefan Mittnik

This paper studies the multi-period mean-variance portfolio allocation problem with transaction costs. Many methods have been proposed these last years to challenge the famous uni-period Markowitz strategy.But these methods cannot integrate…

Portfolio Management · Quantitative Finance 2023-06-21 Areski Cousin , Jérôme Lelong , Tom Picard

The downside risk of a portfolio of (equity)assets is generally substantially higher than the downside risk of its components. In particular in times of crises when assets tend to have high correlation, the understanding of this difference…

Risk Management · Quantitative Finance 2015-03-17 Alex Langnau , Daniel Cangemi

In recent years, the evaluation of the minimal investment risk of the quenched disordered system of a portfolio optimization problem and the investment concentration of the optimal portfolio has been actively investigated using the analysis…

Portfolio Management · Quantitative Finance 2019-08-22 Takashi Shinzato

We investigate the portfolio selection problem against the systemic risk which is measured by CoVaR. We first demonstrate that the systemic risk of pure stock portfolios is essentially uncontrollable due to the contagion effect and the…

Portfolio Management · Quantitative Finance 2022-09-13 Xiaochuan Pang , Shushang Zhu , Xueting Cui , Jiali Ma

I discuss some theoretical results with a view to motivate some practical choices in portfolio optimization. Even though the setting is not completely general (for example, the covariance matrix is assumed to be non-singular), I attempt to…

Portfolio Management · Quantitative Finance 2016-01-29 Vassilios Papathanakos

Since decades, the data science community tries to propose prediction models of financial time series. Yet, driven by the rapid development of information technology and machine intelligence, the velocity of today's information leads to…

Computational Finance · Quantitative Finance 2019-09-25 Giovanni Mariani , Yada Zhu , Jianbo Li , Florian Scheidegger , Roxana Istrate , Costas Bekas , A. Cristiano I. Malossi

The main purpose of this study is the determination of the optimal length of the historical data for the estimation of statistical parameters in Markowitz Portfolio Optimization. We present a trading simulation using Markowitz method, for a…

Portfolio Management · Quantitative Finance 2012-10-23 Ertugrul Bayraktar , Ayse Humeyra Bilge

In this paper, we introduce EvoPort, a novel evolutionary portfolio optimization method that leverages stochastic exploration over a spectrum of investment pipeline depths. From raw equity data, we employ a randomized feature generation…

Computation · Statistics 2025-06-11 Nguyen Van Thanh , Nguyen Thi Hau

The instability of historical risk factor correlations renders their use in estimating portfolio risk extremely questionable. In periods of market stress correlations of risk factors have a tendency to quickly go well beyond estimated…

Adaptation and Self-Organizing Systems · Physics 2008-12-10 Vineer Bhansali , Mark B. Wise

In the paper, we use and investigate copulas models to represent multivariate dependence in financial time series. We propose the algorithm of risk measure computation using copula models. Using the optimal mean-$CVaR$ portfolio we compute…

Risk Management · Quantitative Finance 2017-07-13 Mikhail Semenov , Daulet Smagulov

The question of optimal portfolio is addressed. The conventional Markowitz portfolio optimisation is discussed and the shortcomings due to non-Gaussian security returns are outlined. A method is proposed to minimise the likelihood of…

Physics and Society · Physics 2008-12-02 Robert Kitt , Jaan Kalda

Diversification of an investment into independently fluctuating assets reduces its risk. In reality, movement of assets are are mutually correlated and therefore knowledge of cross--correlations among asset price movements are of great…

Statistical Mechanics · Physics 2009-11-07 B. Rosenow , V. Plerou , P. Gopikrishnan , H. E. Stanley

The fundamental principle in Modern Portfolio Theory (MPT) is based on the quantification of the portfolio's risk related to performance. Although MPT has made huge impacts on the investment world and prompted the success and prevalence of…

Portfolio Management · Quantitative Finance 2021-02-15 Shi Yu , Haoran Wang , Chaosheng Dong

Financial correlations play a central role in financial theory and also in many practical applications. From theoretical point of view, the key interest is in a proper description of the structure and dynamics of correlations. From…

Statistical Mechanics · Physics 2009-11-10 Szilard Pafka , Imre Kondor

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

Mathematical Finance · Quantitative Finance 2019-01-31 Ruimeng Hu

In financial markets marked by inherent volatility, extreme events can result in substantial investor losses. This paper proposes a portfolio strategy designed to mitigate extremal risks. By applying extreme value theory, we evaluate the…

Portfolio Management · Quantitative Finance 2024-09-20 Qian Hui , Tiandong Wang