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We investigate the feasibility of integrating quantum algorithms as subroutines of simulation-based optimisation problems with relevance to and potential applications in mathematical finance. To this end, we conduct a thorough analysis of…

We investigate the use of quantum computers for building a portfolio out of a universe of U.S. listed, liquid equities that contains an optimal set of stocks. Starting from historical market data, we look at various problem formulations on…

General Finance · Quantitative Finance 2020-07-06 Jeffrey Cohen , Alex Khan , Clark Alexander

In this paper, we present an extended exploratory continuous-time mean-variance framework for portfolio management. Our strategy involves a new clustering method based on simulated annealing, which allows for more practical asset selection.…

Portfolio Management · Quantitative Finance 2023-03-07 Zhou Fang

We propose an iterative gradient-based algorithm to efficiently solve the portfolio selection problem with multiple spectral risk constraints. Since the conditional value at risk (CVaR) is a special case of the spectral risk measure, our…

Portfolio Management · Quantitative Finance 2015-03-26 Carlos Abad , Garud Iyengar

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

The global minimum-variance portfolio is a typical choice for investors because of its simplicity and broad applicability. Although it requires only one input, namely the covariance matrix of asset returns, estimating the optimal solution…

Portfolio Management · Quantitative Finance 2021-01-08 Sven Husmann , Antoniya Shivarova , Rick Steinert

We employ model predictive control for a multi-period portfolio optimization problem. In addition to the mean-variance objective, we construct a portfolio whose allocation is given by model predictive control with a risk-parity objective,…

Portfolio Management · Quantitative Finance 2021-03-22 Xiaoyue Li , A. Sinem Uysal , John M. Mulvey

Portfolio optimization is a routine asset management operation conducted in financial institutions around the world. However, under real-world constraints such as turnover limits and transaction costs, its formulation becomes a…

Disordered Systems and Neural Networks · Physics 2025-07-11 Nishan Ranabhat , Behnam Javanparast , David Goerz , Estelle Inack

The Portfolio Optimization task has long been studied in the Financial Services literature as a procedure to identify the basket of assets that satisfy desired conditions on the expected return and the associated risk. A well-known approach…

Portfolio construction is the science of balancing reward and risk; it is at the core of modern finance. In this paper, we tackle the question of optimal decision-making within a Bayesian paradigm, starting from a decision-theoretic…

Applications · Statistics 2024-11-12 Nicolas Nguyen , James Ridgway , Claire Vernade

A novel optimisation framework through quadratic nonlinear projection is introduced for credit portfolio when the portfolio risk is measured by Conditional Value-at-Risk (CVaR). The whole optimisation procedure to search toward the optimal…

Portfolio Management · Quantitative Finance 2016-07-20 Boguk Kim , Chulwoo Han , Frank Chongwoo Park

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

Mean-variance analysis is widely used in portfolio management to identify the best portfolio that makes an optimal trade-off between expected return and volatility. Yet, this method has its limitations, notably its vulnerability to…

Portfolio Management · Quantitative Finance 2023-11-27 Kwong Yu Chong

Portfolio optimization is a critical area in finance, aiming to maximize returns while minimizing risk. Metaheuristic algorithms were shown to solve complex optimization problems efficiently, with Genetic Algorithms and Particle Swarm…

Portfolio Management · Quantitative Finance 2025-03-21 Hang Kin Poon

This paper considers the mean-reverting portfolio design problem arising from statistical arbitrage in the financial markets. We first propose a general problem formulation aimed at finding a portfolio of underlying component assets by…

Portfolio Management · Quantitative Finance 2018-05-09 Ziping Zhao , Daniel P. Palomar

We introduce Onflow, a reinforcement learning method for optimizing portfolio allocation via gradient flows. Our approach dynamically adjusts portfolio allocations to maximize expected log returns while accounting for transaction costs.…

Portfolio Management · Quantitative Finance 2026-03-13 Gabriel Turinici , Pierre Brugiere

Robust estimation for modern portfolio selection on a large set of assets becomes more important due to large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean-variance…

Methodology · Statistics 2024-09-12 Ruike Wu , Yanrong Yang , Han Lin Shang , Huanjun Zhu

In this paper, we propose a market model with returns assumed to follow a multivariate normal tempered stable distribution defined by a mixture of the multivariate normal distribution and the tempered stable subordinator. This distribution…

Portfolio Management · Quantitative Finance 2020-09-22 Young Shin Kim

The problem of finding the optimal portfolio for investors is called the portfolio optimization problem. Such problem mainly concerns the expectation and variability of return (i.e., mean and variance). Although the variance would be the…

Portfolio Management · Quantitative Finance 2020-07-21 Kei Nakagawa , Shuhei Noma , Masaya Abe

Cryptocurrencies (CCs) have risen rapidly in market capitalization over the last years. Despite striking price volatility, their high average returns have drawn attention to CCs as alternative investment assets for portfolio and risk…

Portfolio Management · Quantitative Finance 2020-09-18 Alla Petukhina , Simon Trimborn , Wolfgang Karl Härdle , Hermann Elendner