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A constant rebalanced portfolio is an asset allocation algorithm which keeps the same distribution of wealth among a set of assets along a period of time. Recently, there has been work on on-line portfolio selection algorithms which are…

Portfolio Management · Quantitative Finance 2013-02-01 Yoram Singer

This study first reviews fuzzy random Portfolio selection theory and describes the concept of portfolio optimization model as a useful instrument for helping finance practitioners and researchers. Second, this paper specifically aims at…

Optimization and Control · Mathematics 2014-02-18 Mir Ehsan Hesam Sadati , Ali Doniavi

In this paper, new results in random matrix theory are derived which allow us to construct a shrinkage estimator of the global minimum variance (GMV) portfolio when the shrinkage target is a random object. More specifically, the shrinkage…

Statistical Finance · Quantitative Finance 2023-04-19 Taras Bodnar , Nestor Parolya , Erik Thorsen

Portfolio diversification is one of the most effective ways to minimize investment risk. Individuals and fund managers aim to create a portfolio of assets that not only have high returns but are also uncorrelated. This goal can be achieved…

Computational Engineering, Finance, and Science · Computer Science 2021-12-17 Moein Owhadi-Kareshk , Pierre Boulanger

In this paper we present an evolutionary optimization approach to solve the risk parity portfolio selection problem. While there exist convex optimization approaches to solve this problem when long-only portfolios are considered, the…

Portfolio Management · Quantitative Finance 2015-04-14 Ronald Hochreiter

We introduce a financial portfolio optimization framework that allows us to automatically select the relevant assets and estimate their weights by relying on a sorted $\ell_1$-Norm penalization, henceforth SLOPE. Our approach is able to…

Portfolio Management · Quantitative Finance 2021-07-30 Philipp J. Kremer , Sangkyun Lee , Malgorzata Bogdan , Sandra Paterlini

The problem of estimation error in portfolio optimization is discussed, in the limit where the portfolio size N and the sample size T go to infinity such that their ratio is fixed. The estimation error strongly depends on the ratio N/T and…

Portfolio Management · Quantitative Finance 2009-11-13 Imre Kondor , Istvan Varga-Haszonits

A financial portfolio contains assets that offer a return with a certain level of risk. To maximise returns or minimise risk, the portfolio must be optimised - the ideal combination of optimal quantities of assets must be found. The number…

Computational Engineering, Finance, and Science · Computer Science 2023-07-11 Alexander Nikiporenko

Variational quantum algorithms (VQAs) are promising tools for demonstrating quantum utility on near-term quantum hardware, with applications in optimisation, quantum simulation, and machine learning. While researchers have studied how easy…

Quantum Physics · Physics 2026-02-06 Connor van Rossum , Sally Shrapnel , Riddhi Gupta

Portfolio optimization is a critical task in investment. Most existing portfolio optimization methods require information on the distribution of returns of the assets that make up the portfolio. However, such distribution information is…

Econometrics · Economics 2025-10-09 Masahiro Kato , Kentaro Baba , Hibiki Kaibuchi , Ryo Inokuchi

We investigate the adaptive robust control framework for portfolio optimization and loss-based hedging under drift and volatility uncertainty. Adaptive robust problems offer many advantages but require handling a double optimization problem…

Optimization and Control · Mathematics 2020-05-06 Tao Chen , Michael Ludkovski

Managing a large-scale portfolio with many assets is one of the most challenging tasks in the field of finance. It is partly because estimation of either covariance or precision matrix of asset returns tends to be unstable or even…

Portfolio Management · Quantitative Finance 2022-03-08 Sakae Oya

The demand for classical-quantum hybrid algorithms to solve large-scale combinatorial optimization problems using quantum annealing (QA) has increased. One approach involves obtaining an approximate solution using classical algorithms and…

Quantum Physics · Physics 2024-11-12 Taisei Takabayashi , Masayuki Ohzeki

In this paper, we present a novel computational framework for portfolio-wide risk management problems, where the presence of a potentially large number of risk factors makes traditional numerical techniques ineffective. The new method…

Mathematical Finance · Quantitative Finance 2022-12-26 Alessandro Gnoatto , Athena Picarelli , Christoph Reisinger

We solve an expected utility-maximization problem with a Value-at-risk constraint on the terminal portfolio value in an incomplete financial market due to stochastic volatility. To derive the optimal investment strategy, we use the dynamic…

Portfolio Management · Quantitative Finance 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Rudi Zagst

Quantitative portfolio allocation requires the accurate and tractable estimation of covariances between a large number of assets, whose histories can greatly vary in length. Such data are said to follow a monotone missingness pattern, under…

Methodology · Statistics 2009-02-24 Robert B. Gramacy , Joo Hee Lee , Ricardo Silva

Real-world problems of operations research are typically high-dimensional and combinatorial. Linear programs are generally used to formulate and efficiently solve these large decision problems. However, in multi-period decision problems, we…

Machine Learning · Computer Science 2019-02-27 Wouter van Heeswijk , Han La Poutré

We use a replica approach to deal with portfolio optimization problems. A given risk measure is minimized using empirical estimates of asset values correlations. We study the phase transition which happens when the time series is too short…

Physics and Society · Physics 2009-11-13 Stefano Ciliberti , Marc Mezard

Portfolio optimization is a financial task which requires the allocation of capital on a set of financial assets to achieve a better trade-off between return and risk. To solve this problem, recent studies applied multi-objective…

Neural and Evolutionary Computing · Computer Science 2020-03-17 Yifan He , Claus Aranha

In this paper we propose a hybrid quantum-classical algorithm for dynamic portfolio optimization with minimal holding period. Our algorithm is based on sampling the near-optimal portfolios at each trading step using a quantum processor, and…

Quantum Physics · Physics 2021-12-07 Samuel Mugel , Mario Abad , Miguel Bermejo , Javier Sanchez , Enrique Lizaso , Roman Orus
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