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In this paper, we propose a new class of optimization problems, which maximize the terminal wealth and accumulated consumption utility subject to a mean variance criterion controlling the final risk of the portfolio. The multiple-objective…

Mathematical Finance · Quantitative Finance 2020-11-30 Ben-Zhang Yang , Xin-Jiang He , Song-Ping Zhu

This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

Mathematical Finance · Quantitative Finance 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

This paper focuses on a dynamic multi-asset mean-variance portfolio selection problem under model uncertainty. We develop a continuous time framework for taking into account ambiguity aversion about both expected return rates and…

Portfolio Management · Quantitative Finance 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

In this article, we analyse optimal statistical arbitrage strategies from stochastic control and optimisation problems for multiple co-integrated stocks with eigenportfolios being factors. Optimal portfolio weights are found by solving a…

Portfolio Management · Quantitative Finance 2022-02-09 T. N. Li , A. Papanicolaou

We study the problem of asset liquidation in financial systems. During financial crises, asset liquidation is often inevitable but can lead to substantial losses if a significant amount of illiquid assets are sold simultaneously at…

Risk Management · Quantitative Finance 2026-03-18 Dohyun Ahn , Hongyi Jiang

We consider a time-consistent mean-variance portfolio selection problem of an insurer and allow for the incorporation of basis (mortality) risk. The optimal solution is identified with a Nash subgame perfect equilibrium. We characterize an…

Portfolio Management · Quantitative Finance 2019-08-16 Frank Bosserhoff , Mitja Stadje

This paper is devoted to study the effects arising from imposing a value-at-risk (VaR) constraint in mean-variance portfolio selection problem for an investor who receives a stochastic cash flow which he/she must then invest in a…

Portfolio Management · Quantitative Finance 2010-11-24 Jun Ye , Tiantian Li

This paper considers consumption and portfolio optimization problems with recursive preferences in both infinite and finite time regions. Specially, the financial market consists of a risk-free asset and a risky asset that follows a general…

Optimization and Control · Mathematics 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

Portfolio Management · Quantitative Finance 2022-03-08 Masashi Ieda

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

Mathematical Finance · Quantitative Finance 2019-01-31 Ruimeng Hu

This paper concerns a continuous time mean-variance (MV) portfolio selection problem in a jump-diffusion financial model with no-shorting trading constraint. The problem is reduced to two subproblems: solving a stochastic linear-quadratic…

Optimization and Control · Mathematics 2024-06-07 Xiaomin Shi , Zuo Quan Xu

We consider an investor that trades continuously and wants to liquidate an initial asset position within a prescribed time interval. During the execution of the liquidation order the investor is subject to execution risk. We study the…

Optimization and Control · Mathematics 2020-11-09 Lorella Fatone , Francesca Mariani

We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance…

Portfolio Management · Quantitative Finance 2025-10-01 Vladimir Markov

In this paper, we consider the portfolio optimization problem in a financial market where the underlying stochastic volatility model is driven by n-dimensional Brownian motions. At first, we derive a Hamilton-Jacobi-Bellman equation…

Mathematical Finance · Quantitative Finance 2024-12-20 Minglian Lin , Indranil SenGupta

In this paper we propose the notion of dynamic deviation measure, as a dynamic time-consistent extension of the (static) notion of deviation measure. To achieve time-consistency we require that a dynamic deviation measures satisfies a…

Probability · Mathematics 2016-04-28 Martijn Pistorius , Mitja Stadje

This paper studies the optimal liquidation of stocks in the presence of temporary and permanent price impacts, and we focus in the case of cryptocurrencies. We start by presenting analytical solutions to the problem with linear temporary…

Trading and Market Microstructure · Quantitative Finance 2023-03-20 Hugo E. Ramirez , Julián Fernando Sanchez

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

With the recent advancements in machine learning (ML), artificial neural networks (ANN) are starting to play an increasingly important role in quantitative finance. Dynamic portfolio optimization is among many problems that have…

Portfolio Management · Quantitative Finance 2024-11-18 Yaacov Kopeliovich , Michael Pokojovy

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

Portfolio Management · Quantitative Finance 2009-09-21 Alex Dannenberg

Optimal B-robust estimate is constructed for multidimensional parameter in drift coefficient of diffusion type process with small noise. Optimal mean-variance robust (optimal V -robust) trading strategy is find to hedge in mean-variance…

Portfolio Management · Quantitative Finance 2008-12-10 N. Lazrieva , T. Toronjadze