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Market conditions change continuously. However, in portfolio's investment strategies, it is hard to account for this intrinsic non-stationarity. In this paper, we propose to address this issue by using the Inverse Covariance Clustering…

Statistical Finance · Quantitative Finance 2022-01-17 Yuanrong Wang , Tomaso Aste

Many real-world decision-making problems involve multiple decision-making stages and various objectives. Besides, most of the decisions need to be made before having complete knowledge about all aspects of the problem leaves some sort of…

Optimization and Control · Mathematics 2025-08-06 Babooshka Shavazipour , Theodor J. Stewart

Sharpe ratio (sometimes also referred to as information ratio) is widely used in asset management to compare and benchmark funds and asset managers. It computes the ratio of the (excess) net return over the strategy standard deviation.…

Risk Management · Quantitative Finance 2019-05-22 Eric Benhamou , David Saltiel , Beatrice Guez , Nicolas Paris

This paper addresses the abstract dynamic programming (DP) in the online scenario, where the abstract DP mapping is time-varying, instead of static. In this case, optimal costs and policies at different time instants are not the same in…

Optimization and Control · Mathematics 2021-07-06 Xiuxian Li , Lihua Xie

Portfolio management remains a crucial challenge in finance, with traditional methods often falling short in complex and volatile market environments. While deep reinforcement approaches have shown promise, they still face limitations in…

Machine Learning · Computer Science 2025-03-07 Fengchen Gu , Zhengyong Jiang , Ángel F. García-Fernández , Angelos Stefanidis , Jionglong Su , Huakang Li

We derive a closed-form expression capturing the degree of Relative Risk Aversion (RRA) of investors for non-"fair" lotteries. We argue that our formula is superior to earlier methods that have been proposed, as it is a function of only…

General Economics · Economics 2022-11-10 George Samartzis , Nikitas Pittis

Returns distributions are heavy-tailed across asset classes. In this note, I examine the implications of this well-known stylized fact for the joint statistics of performance (absolute return) and Sharpe ratio (risk-adjusted return). Using…

Statistical Finance · Quantitative Finance 2024-06-27 Matteo Smerlak

Traditional approaches to financial asset allocation start with returns forecasting followed by an optimization stage that decides the optimal asset weights. Any errors made during the forecasting step reduce the accuracy of the asset…

Portfolio Management · Quantitative Finance 2022-06-08 Damian Kisiel , Denise Gorse

We study a series of static and dynamic portfolios of VIX futures and their effectiveness to track the VIX index. We derive each portfolio using optimization methods, and evaluate its tracking performance from both empirical and theoretical…

Risk Management · Quantitative Finance 2019-07-02 Tim Leung , Brian Ward

Managing risk in dynamic decision problems is of cardinal importance in many fields such as finance and process control. The most common approach to defining risk is through various variance related criteria such as the Sharpe Ratio or the…

Machine Learning · Computer Science 2012-07-03 Dotan Di Castro , Aviv Tamar , Shie Mannor

We extend Relative Robust Portfolio Optimisation models to allow portfolios to optimise their distance to a set of benchmarks. Portfolio managers are also given the option of computing regret in a way which is more in line with market…

Portfolio Management · Quantitative Finance 2017-01-12 Gonçalo Simões , Mark McDonald , Stacy Williams , Daniel Fenn , Raphael Hauser

We apply numerical dynamic programming techniques to solve discrete-time multi-asset dynamic portfolio optimization problems with proportional transaction costs and shorting/borrowing constraints. Examples include problems with multiple…

Portfolio Management · Quantitative Finance 2020-03-05 Yongyang Cai , Kenneth Judd , Rong Xu

This paper analyses the risk factors around investing in global supply chain infrastructure: the energy market, investor sentiment, and global shipping costs. It presents portfolio strategies associated with dynamic risks. A time-varying…

Econometrics · Economics 2025-08-08 Haibo Wang

We quantify model risk of a financial portfolio whereby a multi-period mean-standard-deviation criterion is used as a selection criterion. In this work, model risk is defined as the loss due to uncertainty of the underlying distribution of…

Portfolio Management · Quantitative Finance 2021-08-06 Spiridon Penev , Pavel V. Shevchenko , Wei Wu

This paper investigates the problem of ensembling multiple strategies for sequential portfolios to outperform individual strategies in terms of long-term wealth. Due to the uncertainty of strategies' performances in the future market, which…

Portfolio Management · Quantitative Finance 2025-02-07 Duy Khanh Lam

We develop a novel multivariate semi-parametric framework for joint portfolio Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting. Unlike existing univariate semi-parametric approaches, the proposed framework explicitly models the…

Risk Management · Quantitative Finance 2024-12-23 Giuseppe Storti , Chao Wang

This study explores the use of Transformer-based models to predict both covariance and semi-covariance matrices for ETF portfolio optimization. Traditional portfolio optimization techniques often rely on static covariance estimates or…

Portfolio Management · Quantitative Finance 2024-12-02 Jiahao Zhu , Hengzhi Wu

This paper proposes a new method for financial portfolio optimization based on reducing simultaneous asset shocks across a collection of assets. This may be understood as an alternative approach to risk reduction in a portfolio based on a…

Portfolio Management · Quantitative Finance 2023-03-10 Nick James , Max Menzies , Jennifer Chan

The patterns of different financial data sources vary substantially, and accordingly, investors exhibit heterogeneous cognition behavior in information processing. To capture different patterns, we propose a novel approach called the…

Computational Engineering, Finance, and Science · Computer Science 2025-12-17 Ruize Gao , Mei Yang , Yu Wang , Shaoze Cui

This paper introduces and examines numerical approximation schemes for computing risk budgeting portfolios associated to positive homogeneous and sub-additive risk measures. We employ Mirror Descent algorithms to determine the optimal risk…

Portfolio Management · Quantitative Finance 2024-11-20 Martin Arnaiz Iglesias , Adil Rengim Cetingoz , Noufel Frikha