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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

The aim of this work consists in the study of the optimal investment strategy for a behavioural investor, whose preference towards risk is described by both a probability distortion and an S-shaped utility function. Within a continuous-time…

Portfolio Management · Quantitative Finance 2013-04-30 Miklos Rasonyi , Andrea M. Rodrigues

This paper investigates optimal portfolio strategies in a market where the drift is driven by an unobserved Markov chain. Information on the state of this chain is obtained from stock prices and expert opinions in the form of signals at…

Portfolio Management · Quantitative Finance 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

In the continuous time mean-variance model, we want to minimize the variance (risk) of the investment portfolio with a given mean at terminal time. However, the investor can stop the investment plan at any time before the terminal time. To…

Mathematical Finance · Quantitative Finance 2019-12-05 Shuzhen Yang

This paper studies the continuous time mean-variance portfolio selection problem with one kind of non-linear wealth dynamics. To deal the expectation constraint, an auxiliary stochastic control problem is firstly solved by two new…

Mathematical Finance · Quantitative Finance 2022-11-03 Shaolin Ji , Hanqing Jin , Xiaomin Shi

This paper studies a continuous-time market where an agent, having specified an investment horizon and a targeted terminal mean return, seeks to minimize the variance of the return. The optimal portfolio of such a problem is called…

Probability · Mathematics 2008-12-02 Xun Li , Xun Yu Zhou

This is a follow up of our previous paper - Trybu{\l}a and Zawisza \cite{TryZaw}, where we considered a modification of a monotone mean-variance functional in continuous time in stochastic factor model. In this article we address the…

Portfolio Management · Quantitative Finance 2014-04-23 Jakub Trybuła , Dariusz Zawisza

We consider an investor facing a classical portfolio problem of optimal investment in a log-Brownian stock and a fixed-interest bond, but constrained to choose portfolio and consumption strategies that reduce a dynamic shortfall risk…

Portfolio Management · Quantitative Finance 2017-08-04 Imke Redeker , Ralf Wunderlich

In this paper, we consider a continuous-time mean-variance portfolio selection with regime-switching and random horizon. Unlike previous works, the dynamic of assets are described by non-Markovian regime-switching models in the sense that…

Mathematical Finance · Quantitative Finance 2022-05-16 Tian Chen , Ruyi Liu , Zhen Wu

The paper [12] examines a concept of equilibrium policies instead of optimal controls in stochastic optimization to analyze a mean-variance portfolio selection problem. We follow the same approach in order to investigate the Merton…

Optimization and Control · Mathematics 2020-04-23 I. Alia , F. Chighoub , N. Khelfallah , J. Vives

In this work, we consider the optimal portfolio selection problem under hard constraints on trading volume amounts when the dynamics of the risky asset returns are governed by a discrete-time approximation of the Markov-modulated geometric…

Portfolio Management · Quantitative Finance 2014-10-07 Vladimir Dombrovskii , Tatyana Obyedko

We consider a dynamic portfolio optimization problem that incorporates predictable returns, instantaneous transaction costs, price impact, and stochastic volatility, extending the classical results of Garleanu and Pedersen (2013), which…

Computational Finance · Quantitative Finance 2025-07-24 Patrick Chan , Ronnie Sircar , Iosif Zimbidis

We study the continuous time portfolio optimization model on the market where the mean returns of individual securities or asset categories are linearly dependent on underlying economic factors. We introduce the functional $Q_\gamma$…

Portfolio Management · Quantitative Finance 2015-01-29 O. S. Rozanova , G. S. Kambarbaeva

The present paper provides a study of high-dimensional statistical arbitrage that combines factor models with the tools from stochastic control, obtaining closed-form optimal strategies which are both interpretable and computationally…

Mathematical Finance · Quantitative Finance 2021-06-25 Jorge Guijarro-Ordonez

Changes in market conditions present challenges for investors as they cause performance to deviate from the ranges predicted by long-term averages of means and covariances. The aim of conditional asset allocation strategies is to overcome…

General Finance · Quantitative Finance 2022-11-03 Reza Bradrania , Davood Pirayesh Neghab

This paper is concerned with an optimal reinsurance and investment problem for an insurance firm under the criterion of mean-variance. The driving Brownian motion and the rate in return of the risky asset price dynamic equation cannot be…

Optimization and Control · Mathematics 2020-06-04 Shihao Zhu , Jingtao Shi

For a long investment time horizon, it is preferable to rebalance the portfolio weights at intermediate times. This necessitates a multi-period market model in which portfolio optimization is usually done through dynamic programming.…

Portfolio Management · Quantitative Finance 2024-05-29 Shubhangi Sikaria , Rituparna Sen , Neelesh S. Upadhye

This survey reviews portfolio choice in settings where investment opportunities are stochastic due to, e.g., stochastic volatility or return predictability. It is explained how to heuristically compute candidate optimal portfolios using…

Portfolio Management · Quantitative Finance 2013-11-08 Ren Liu , Johannes Muhle-Karbe

Motivated by empirical evidence for rough volatility models, this paper investigates continuous-time mean-variance (MV) portfolio selection under the Volterra Heston model. Due to the non-Markovian and non-semimartingale nature of the…

Portfolio Management · Quantitative Finance 2020-01-30 Bingyan Han , Hoi Ying Wong

In this paper, we consider the portfolio optimization problem in a financial market under a general utility function. Empirical results suggest that if a significant market fluctuation occurs, invested wealth tends to have a notable change…

Portfolio Management · Quantitative Finance 2022-01-26 Minglian Lin , Indranil SenGupta
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