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Mean-reverting behavior of individuals assets is widely known in financial markets. In fact, we can construct a portfolio that has mean-reverting behavior and use it in trading strategies to extract profits. In this paper, we show that we…

Portfolio Management · Quantitative Finance 2024-06-26 Sung Min Yoon

In this paper we tackle the problem of dynamic portfolio optimization, i.e., determining the optimal trading trajectory for an investment portfolio of assets over a period of time, taking into account transaction costs and other possible…

Motivated by the current global high inflation scenario, we aim to discover a dynamic multi-period allocation strategy to optimally outperform a passive benchmark while adhering to a bounded leverage limit. To this end, we formulate an…

Portfolio Management · Quantitative Finance 2023-05-26 Chendi Ni , Yuying Li , Peter A. Forsyth

This paper investigates performance attribution measures as a basis for constraining portfolio optimization. We employ optimizations that minimize expected tail loss and investigate both asset allocation (AA) and the selection effect (SE)…

Risk Management · Quantitative Finance 2021-03-09 Yuan Hu , W. Brent Lindquist

Motivated by practical applications, we explore the constrained multi-period mean-variance portfolio selection problem within a market characterized by a dynamic factor model. This model captures predictability in asset returns driven by…

Portfolio Management · Quantitative Finance 2025-02-26 Jianjun Gao , Chengneng Jin , Yun Shi , Xiangyu Cui

Classical portfolio optimization methods typically determine an optimal capital allocation through the implicit, yet critical, assumption of statistical time-invariance. Such models are inadequate for real-world markets as they employ…

Statistical Finance · Quantitative Finance 2021-02-02 Bruno Scalzo , Alvaro Arroyo , Ljubisa Stankovic , Danilo P. Mandic

In this work, we consider the optimal portfolio selection problem under hard constraints on trading amounts, transaction costs and different rates for borrowing and lending when the risky asset returns are serially correlated. No…

Portfolio Management · Quantitative Finance 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

The passive management approach offers conservative investors a way to reduce risk concerning the market. This investment strategy aims at replicating a specific index, such as the NASDAQ Composite or the FTSE100 index. The problem is that…

Portfolio Management · Quantitative Finance 2023-06-06 Julio Cezar Soares Silva , Adiel Teixeira de Almeida Filho

Portfolio optimisation is essential in quantitative investing, but its implementation faces several practical difficulties. One particular challenge is converting optimal portfolio weights into real-life trades in the presence of realistic…

Portfolio Management · Quantitative Finance 2024-10-01 Cristiano Arbex Valle

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

Among professionals and academics alike, it is well known that active portfolio management is unable to provide additional risk-adjusted returns relative to their benchmarks. For this reason, passive wealth management has emerged in recent…

Portfolio Management · Quantitative Finance 2022-03-28 Daniele Bufalo , Michele Bufalo , Francesco Cesarone , Giuseppe Orlando

The online portfolio selection (OLPS) problem differs from classical portfolio model problems, as it involves making sequential investment decisions. Many OLPS strategies described in the literature capture market movement based on various…

Portfolio Management · Quantitative Finance 2022-06-03 Man Yiu Tsang , Tony Sit , Hoi Ying Wong

This study introduces a dynamic investment framework to enhance portfolio management in volatile markets, offering clear advantages over traditional static strategies. Evaluates four conventional approaches : equal weighted, minimum…

Portfolio Management · Quantitative Finance 2025-04-07 Jinhui Li , Wenjia Xie , Luis Seco

This article introduces a novel hybrid regime identification-forecasting framework designed to enhance multi-asset portfolio construction by integrating asset-specific regime forecasts. Unlike traditional approaches that focus on broad…

Portfolio Management · Quantitative Finance 2024-08-19 Yizhan Shu , Chenyu Yu , John M. Mulvey

In behavioral finance, aversion affects investors' judgment of future uncertainty when profit and loss occur. Considering investors' aversion to loss and risk, and the ambiguous uncertainty characterizing asset returns, we construct a…

Optimization and Control · Mathematics 2022-05-06 Xin Zhang

We discuss and extend a powerful, geometric framework to represent the set of portfolios, which identifies the space of asset allocations with the points lying in a convex polytope. Based on this viewpoint, we survey certain…

Portfolio Management · Quantitative Finance 2021-09-06 Apostolos Chalkis , Emmanouil Christoforou , Ioannis Z. Emiris , Theodore Dalamagas

This paper studies some unconventional utility maximization problems when the ratio type relative portfolio performance is periodically evaluated over an infinite horizon. Meanwhile, the agent is prohibited from short-selling stocks. Our…

Portfolio Management · Quantitative Finance 2023-12-20 Wenyuan Wang , Kaixin Yan , Xiang Yu

This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

Optimization and Control · Mathematics 2023-05-15 Hui Xiao , Zhihong Wei

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

We study optimal investment problem for a diffusion market consisting of a finite number of risky assets (for example, bonds, stocks and options). Risky assets evolution is described by Ito's equation, and the number of risky assets can be…

Probability · Mathematics 2008-12-02 Nikolai Dokuchaev