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Portfolio optimization is one of the most studied optimization problems at the intersection of quantum computing and finance. In this work, we develop the first quantum formulation for a portfolio optimization problem with higher-order…

Quantum Physics · Physics 2026-01-28 Valter Uotila , Julia Ripatti , Bo Zhao

Estimating and assessing the risk of a large portfolio is an important topic in financial econometrics and risk management. The risk is often estimated by a substitution of a good estimator of the volatility matrix. However, the accuracy of…

Applications · Statistics 2013-02-06 Jianqing Fan , Yuan Liao , Xiaofeng Shi

We use machine learning for designing a medium frequency trading strategy for a portfolio of 5 year and 10 year US Treasury note futures. We formulate this as a classification problem where we predict the weekly direction of movement of the…

Trading and Market Microstructure · Quantitative Finance 2015-12-22 Abhijit Sharang , Chetan Rao

We introduce a novel approach to portfolio optimization that leverages hierarchical graph structures and the Schur complement method to systematically reduce computational complexity while preserving full covariance information. Inspired by…

Portfolio Management · Quantitative Finance 2025-03-18 Gamal Mograby

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

As the cornerstone of modern portfolio theory, Markowitz's mean-variance optimization is considered a major model adopted in portfolio management. However, due to the difficulty of estimating its parameters, it cannot be applied to all…

Machine Learning · Computer Science 2019-11-15 Mengying Zhu , Xiaolin Zheng , Yan Wang , Yuyuan Li , Qianqiao Liang

A deep BSDE approach is presented for the pricing and delta-gamma hedging of high-dimensional Bermudan options, with applications in portfolio risk management. Large portfolios of a mixture of multi-asset European and Bermudan derivatives…

Computational Finance · Quantitative Finance 2025-02-18 Balint Negyesi , Cornelis W. Oosterlee

It is a known fact that the performance of optimization algorithms for NP-Hard problems vary from instance to instance. We observed the same trend when we comprehensively studied multi-objective evolutionary algorithms (MOEAs) on a six…

Artificial Intelligence · Computer Science 2017-08-11 Santosh Mungle

In this research paper, we investigate into a paper named "A Deep Reinforcement Learning Framework for the Financial Portfolio Management Problem" [arXiv:1706.10059]. It is a portfolio management problem which is solved by deep learning…

Portfolio Management · Quantitative Finance 2024-09-16 Jinyang Li

The variance measures the portfolio risks the investors are taking. The investor, who holds his portfolio and doesn't trade his shares, at the current time can use the time series of the market trades that were made during the averaging…

General Economics · Economics 2025-07-08 Victor Olkhov

We present a robust Deep Hedging framework for the pricing and hedging of option portfolios that significantly improves training efficiency and model robustness. In particular, we propose a neural model for training model embeddings which…

Computational Finance · Quantitative Finance 2025-04-24 Fabienne Schmid , Daniel Oeltz

Stock portfolio optimization is the process of continuous reallocation of funds to a selection of stocks. This is a particularly well-suited problem for reinforcement learning, as daily rewards are compounding and objective functions may…

Portfolio Management · Quantitative Finance 2022-07-06 Charl Maree , Christian W. Omlin

This paper introduces a software component created in Visual Basic for Applications (VBA) that can be applied for creating an optimal portfolio using two different methods. The first method is the seminal approach of Markowitz that is based…

Portfolio Management · Quantitative Finance 2023-05-23 Abdulnasser Hatemi-J , Alan Mustafa

Investment returns naturally reside on irregular domains, however, standard multivariate portfolio optimization methods are agnostic to data structure. To this end, we investigate ways for domain knowledge to be conveniently incorporated…

Signal Processing · Electrical Eng. & Systems 2019-10-17 Bruno Scalzo Dees , Ljubisa Stankovic , Anthony G. Constantinides , Danilo P. Mandic

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

Motivated by recent advances in the spectral theory of auto-covariance matrices, we are led to revisit a reformulation of Markowitz' mean-variance portfolio optimization approach in the time domain. In its simplest incarnation it applies to…

Portfolio Management · Quantitative Finance 2016-06-22 Peter A. Bebbington , Reimer Kuehn

This article develops the theory of risk budgeting portfolios, when we would like to impose weight constraints. It appears that the mathematical problem is more complex than the traditional risk budgeting problem. The formulation of the…

Portfolio Management · Quantitative Finance 2019-02-18 Jean-Charles Richard , Thierry Roncalli

Markowitz (1952, 1959) laid down the ground-breaking work on the mean-variance analysis. Under his framework, the theoretical optimal allocation vector can be very different from the estimated one for large portfolios due to the intrinsic…

Portfolio Management · Quantitative Finance 2008-12-16 Jianqing Fan , Jingjin Zhang , Ke Yu

Many cryptocurrency brokers nowadays offer a variety of derivative assets that allow traders to perform hedging or speculation. This paper proposes an effective algorithm based on neural networks to take advantage of these investment…

Machine Learning · Computer Science 2023-10-03 Quoc Minh Nguyen , Dat Thanh Tran , Juho Kanniainen , Alexandros Iosifidis , Moncef Gabbouj

This paper concerns portfolio selection with multiple assets under rough covariance matrix. We investigate the continuous-time Markowitz mean-variance problem for a multivariate class of affine and quadratic Volterra models. In this…

Optimization and Control · Mathematics 2021-01-25 Eduardo Abi Jaber , Enzo Miller , Huyên Pham
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