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In financial markets marked by inherent volatility, extreme events can result in substantial investor losses. This paper proposes a portfolio strategy designed to mitigate extremal risks. By applying extreme value theory, we evaluate the…

Portfolio Management · Quantitative Finance 2024-09-20 Qian Hui , Tiandong Wang

This paper investigates optimal portfolio strategies in a financial market where the drift of the stock returns is driven by an unobserved Gaussian mean reverting process. Information on this process is obtained from observing stock returns…

Portfolio Management · Quantitative Finance 2016-03-15 Abdelali Gabih , Hakam Kondakji , Jörn Sass , Ralf Wunderlich

We propose a novel model to achieve superior out-of-sample Sharpe ratios. While most research in asset allocation focuses on estimating the return vector and covariance matrix, the first component of our novel model instead forecasts the…

Portfolio Management · Quantitative Finance 2026-04-07 Nolan Alexander , William Scherer

The potential benefits of portfolio diversification have been known to investors for a long time. Markowitz (1952) suggested the seminal approach for optimizing the portfolio problem based on finding the weights as budget shares that…

Theoretical Economics · Economics 2019-03-05 Abdulnasser Hatemi-J , Mohamed Ali Hajji , Youssef El-Khatib

We consider the life-cycle optimal portfolio choice problem faced by an agent receiving labor income and allocating her wealth to risky assets and a riskless bond subject to a borrowing constraint. In this paper, to reflect a realistic…

Optimization and Control · Mathematics 2020-09-10 Boualem Djehiche , Fausto Gozzi , Giovanni Zanco , Margherita Zanella

In this paper, we investigate a portfolio selection problem with transaction costs under a two-factor stochastic volatility structure, where volatility follows a mean-reverting process with a stochastic mean-reversion level. The model…

Mathematical Finance · Quantitative Finance 2025-11-18 Dong Yan , Ke Zhou , Zirun Wang , Xin-Jiang He

We propose a novel portfolio selection approach that manages to ease some of the problems that characterise standard expected utility maximisation. The optimal portfolio is no longer defined as the extremum of a suitably chosen utility…

Condensed Matter · Physics 2009-09-29 P. Rossi , M. Tavoni , F. Cocco , R. Marschinski

The problem of portfolio optimization is one of the most important issues in asset management. This paper proposes a new dynamic portfolio strategy based on the time-varying structures of MST networks in Chinese stock markets, where the…

Statistical Finance · Quantitative Finance 2017-04-12 Fei Ren , Ya-Nan Lu , Sai-Ping Li , Xiong-Fei Jiang , Li-Xin Zhong , Tian Qiu

This paper discusses the sensitivity of the long-term expected utility of optimal portfolios for an investor with constant relative risk aversion. Under an incomplete market given by a factor model, we consider the utility maximization…

Mathematical Finance · Quantitative Finance 2019-06-11 Hyungbin Park , Stephan Sturm

We study an optimization problem for a portfolio with a risk-free, a liquid, and an illiquid risky asset. The illiquid risky asset is sold in an exogenous random moment with a prescribed liquidation time distribution. The investor prefers a…

Portfolio Management · Quantitative Finance 2020-05-11 Ljudmila A. Bordag

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

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

Portfolio Management · Quantitative Finance 2021-11-05 Michael Pinelis , David Ruppert

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

We consider a stock that follows a geometric Brownian motion (GBM) and a riskless asset continuously compounded at a constant rate. We assume that the stock can go bankrupt, i.e., lose all of its value, at some exogenous random time…

Mathematical Finance · Quantitative Finance 2024-11-05 Yaacov Kopeliovich , Michael Pokojovy , Julia Bernatska

In this report we derive the strategic (deterministic) allocation to bonds and stocks resulting in the optimal mean-variance trade-off on a given investment horizon. The underlying capital market features a mean-reverting process for equity…

Mathematical Finance · Quantitative Finance 2022-01-17 Søren Fiig Jarner

This paper studies a type of periodic utility maximization problems for portfolio management in incomplete stochastic factor models with convex trading constraints. The portfolio performance is periodically evaluated on the relative ratio…

Mathematical Finance · Quantitative Finance 2024-11-22 Wenyuan Wang , Kaixin Yan , Xiang Yu

Possibilistic risk theory starts from the hypothesis that risk is modelled by fuzzy numbers. In particular, in a possibilistic portfolio choice problem, the return of a risky asset will be a fuzzy number. The expected utility operators have…

Portfolio Management · Quantitative Finance 2019-07-01 Irina Georgescu , Louis Aimé Fono

We consider a portfolio optimisation problem for a utility-maximising investor who faces convex constraints on his portfolio allocation in Heston's stochastic volatility model. We apply the duality methods developed in previous work to…

Portfolio Management · Quantitative Finance 2023-11-08 Marcos Escobar-Anel , Michel Kschonnek , Rudi Zagst

Multi-period portfolio optimization is important for real portfolio management, as it accounts for transaction costs, path-dependent risks, and the intertemporal structure of trading decisions that single-period models cannot capture.…

Computational Engineering, Finance, and Science · Computer Science 2025-12-16 Yuxuan Linghu , Zhiyuan Liu , Qi Deng

In portfolio compression, market participants (banks, organizations, companies, financial agents) sign contracts, creating liabilities between each other, which increases the systemic risk. Large, dense markets commonly can be compressed by…

Computational Engineering, Finance, and Science · Computer Science 2022-12-20 Mihály Péter Hanics