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Related papers: Research on Optimal Portfolio Based on Multifracta…

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It is ubiquitous in natural and social sciences that two variables, recorded temporally or spatially in a complex system, are cross-correlated and possess multifractal features. We propose a new method called multifractal detrended…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Wei-Xing Zhou

We study optimal investment in a financial market having a finite number of assets from a signal processing perspective. We investigate how an investor should distribute capital over these assets and when he should reallocate the…

Portfolio Management · Quantitative Finance 2015-06-04 Sait Tunc , Suleyman S. Kozat

This paper derives a portfolio decomposition formula when the agent maximizes utility of her wealth at some finite planning horizon. The financial market is complete and consists of multiple risky assets (stocks) plus a risk free asset. The…

Probability · Mathematics 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

Probabilistic forecasting is crucial in multivariate financial time-series for constructing efficient portfolios that account for complex cross-sectional dependencies. In this paper, we propose Diffolio, a diffusion model designed for…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 So-Yoon Cho , Jin-Young Kim , Kayoung Ban , Hyeng Keun Koo , Hyun-Gyoon Kim

We propose an optimal portfolio problem in the incomplete market where the underlying assets depend on economic factors with delayed effects, such models can describe the short term forecasting and the interaction with time lag among…

Mathematical Finance · Quantitative Finance 2018-05-04 Shuenn-Jyi Sheu , Li-Hsien Sun , Zheng Zhang

We address a portfolio selection problem that combines active (outperformance) and passive (tracking) objectives using techniques from convex analysis. We assume a general semimartingale market model where the assets' growth rate processes…

Portfolio Management · Quantitative Finance 2019-03-19 Ali Al-Aradi , Sebastian Jaimungal

Stock price prediction is of significant importance in quantitative investment. Existing approaches encounter two primary issues: First, they often overlook the crucial role of capturing short-term stock fluctuations for predicting…

Computational Engineering, Finance, and Science · Computer Science 2024-11-12 Chengqi Dong , Zhiyuan Cao , S Kevin Zhou , Jia Liu

The construction of an efficient portfolio with a good level of return and minimal risk depends on selecting the optimal combination of stocks. This paper introduces a novel decision-making framework for stock selection based on fractional…

Statistics Theory · Mathematics 2025-07-04 Poulami Paul , Chanchal Kundu

In this paper, we investigate the features and the performance of the Risk Parity (RP) portfolios using the Mean Absolute Deviation (MAD) as a risk measure. The RP model is a recent strategy for asset allocation that aims at equally sharing…

Portfolio Management · Quantitative Finance 2024-01-19 Çağın Ararat , Francesco Cesarone , Mustafa Çelebi Pınar , Jacopo Maria Ricci

Empirical studies indicate the existence of long range dependence in the volatility of the underlying asset. This feature can be captured by modeling its return and volatility using functions of a stationary fractional Ornstein--Uhlenbeck…

Portfolio Management · Quantitative Finance 2018-02-12 Jean-Pierre Fouque , Ruimeng Hu

Markowitz laid the foundation of portfolio theory through the mean-variance optimization (MVO) framework. However, the effectiveness of MVO is contingent on the precise estimation of expected returns, variances, and covariances of asset…

Portfolio Management · Quantitative Finance 2025-11-11 Junhyeong Lee , Haeun Jeon , Hyunglip Bae , Yongjae Lee

This paper aims to develop new mathematical and computational tools for modeling the distribution of portfolio returns across portfolios. We establish relevant mathematical formulas and propose efficient algorithms, drawing upon powerful…

Computational Engineering, Finance, and Science · Computer Science 2021-05-17 Ludovic Calès , Apostolos Chalkis , Ioannis Z. Emiris

This work proposes a novel portfolio management technique, the Meta Portfolio Method (MPM), inspired by the successes of meta approaches in the field of bioinformatics and elsewhere. The MPM uses XGBoost to learn how to switch between two…

Portfolio Management · Quantitative Finance 2022-06-02 Damian Kisiel , Denise Gorse

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

Statistical Mechanics · Physics 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

Value-at-Risk is one of the most popular risk management tools in the financial industry. Over the past 20 years several attempts to include VaR in the portfolio selection process have been proposed. However, using VaR as a risk measure in…

Portfolio Management · Quantitative Finance 2021-11-19 Francesco Cesarone , Manuel L Martino , Fabio Tardella

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2011-07-14 Mikhail Voropaev

We study the profitability of optimal mean reversion trading strategies in the US equity market. Different from regular pair trading practice, we apply maximum likelihood method to construct the optimal static pairs trading portfolio that…

Portfolio Management · Quantitative Finance 2016-02-19 Peng Huang , Tianxiang Wang

In the 20+ years of Doppler observations of stars, scientists have uncovered a diverse population of extrasolar multi-planet systems. A common technique for characterizing the orbital elements of these planets is Markov chain Monte Carlo…

Earth and Planetary Astrophysics · Physics 2015-06-18 Benjamin E. Nelson , Eric B. Ford , Matthew J. Payne

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

We develop a deep reinforcement learning framework for dynamic portfolio optimization that combines a Dirichlet policy with cross-sectional attention mechanisms. The Dirichlet formulation ensures that portfolio weights are always feasible,…

Computational Engineering, Finance, and Science · Computer Science 2025-10-09 Pei Xue , Yuanchun Ye
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