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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…

投资组合管理 · 定量金融 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

In recent years, academics, regulators, and market practitioners have increasingly addressed liquidity issues. Amongst the numerous problems addressed, the optimal execution of large orders is probably the one that has attracted the most…

交易与市场微观结构 · 定量金融 2022-03-23 Philippe Bergault , Fayçal Drissi , Olivier Guéant

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…

数理金融 · 定量金融 2025-11-18 Dong Yan , Ke Zhou , Zirun Wang , Xin-Jiang He

In this paper, we study an optimal stopping problem in the presence of model uncertainty and regime switching. The max-min formulation for robust control and the dynamic programming approach are adopted to establish a general theoretical…

最优化与控制 · 数学 2025-09-04 Siyu Lv , Zhen Wu , Jie Xiong , Xin Zhang

Optimal portfolio selection problems are determined by the (unknown) parameters of the data generating process. If an investor wants to realise the position suggested by the optimal portfolios, he/she needs to estimate the unknown…

投资组合管理 · 定量金融 2023-04-19 Taras Bodnar , Holger Dette , Nestor Parolya , Erik Thorsén

This paper studies a continuous-time market {under stochastic environment} where an agent, having specified an investment horizon and a target terminal mean return, seeks to minimize the variance of the return with multiple stocks and a…

投资组合管理 · 定量金融 2013-02-28 Wan-Kai Pang , Yuan-Hua Ni , Xun Li , Ka-Fai Cedric Yiu

In this paper, we consider the optimal portfolio liquidation problem under the dynamic mean-variance criterion and derive time-consistent solutions in three important models. We give adapted optimal strategies under a reconsidered…

交易与市场微观结构 · 定量金融 2015-11-02 Jia-Wen Gu , Mogens Steffensen

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…

投资组合管理 · 定量金融 2014-10-07 Vladimir Dombrovskii , Tatyana Obyedko

In this paper we investigate a dynamic stochastic portfolio optimization problem involving both the expected terminal utility and intertemporal utility maximization. We solve the problem by means of a solution to a fully nonlinear…

投资组合管理 · 定量金融 2019-03-26 Sona Kilianova , Daniel Sevcovic

We consider the problem of portfolio optimization with a correlation constraint. The framework is the multiperiod stochastic financial market setting with one tradable stock, stochastic income and a non-tradable index. The correlation…

最优化与控制 · 数学 2020-01-01 Aditya Maheshwari , Traian Pirvu

Motivated by the asset-liability management of a nuclear power plant operator, we consider the problem of finding the least expensive portfolio, which outperforms a given set of stochastic benchmarks. For a specified loss function, the…

风险管理 · 定量金融 2013-09-23 Ying Jiao , Olivier Klopfenstein , Peter Tankov

This paper revisits the classical Merton portfolio choice problem over infinite horizon for high risk aversion, addressing technical challenges related to establishing the existence and identification of optimal strategies. Traditional…

最优化与控制 · 数学 2025-08-05 Enrico Biffis , Cristina Di Girolami , Salvatore Federico , Fausto Gozzi

In this paper, we search for optimal portfolio strategies in the presence of various risk measure that are common in financial applications. Particularly, we deal with the static optimization problem with respect to Value at Risk, Expected…

投资组合管理 · 定量金融 2019-12-23 Alev Meral

Portfolio optimization approaches inevitably rely on multivariate modeling of markets and the economy. In this paper, we address three sources of error related to the modeling of these complex systems: 1. oversimplifying hypothesis; 2.…

统计金融 · 定量金融 2021-03-30 Pier Francesco Procacci , Tomaso Aste

In this paper we investigate a new class of growth rate maximization problems based on impulse control strategies such that the average number of trades per time unit does not exceed a fixed level. Moreover, we include proportional…

投资组合管理 · 定量金融 2013-06-10 Sören Christensen , Marc Wittlinger

This paper concerns an optimal dividend distribution problem for an insurance company with surplus-dependent premium. In the absence of dividend payments, such a risk process is a particular case of so-called piecewise deterministic Markov…

投资组合管理 · 定量金融 2016-04-26 Ewa Marciniak , Zbigniew Palmowski

This paper studies optimal liquidity provision for perpetual contracts when the funding rate is a stochastic state variable. The core extension to classical market making is the coupling between inventory and funding payments: inventory…

数理金融 · 定量金融 2026-05-08 Nam Anh Le

We study a constrained stochastic control problem with jumps; the jump times of the controlled process are given by a Poisson process. The cost functional comprises quadratic components for an absolutely continuous control and the…

最优化与控制 · 数学 2013-04-29 Peter Kratz

In this paper, we consider the problem of optimization of a portfolio consisting of securities. An investor with an initial capital, is interested in constructing a portfolio of securities. If the prices of securities change, the investor…

投资组合管理 · 定量金融 2017-12-05 Oleg Malafeyev , Achal Awasthi

In this paper, we investigate a fully nonlinear evolutionary Hamilton-Jacobi-Bellman (HJB) parabolic equation utilizing the monotone operator technique. We consider the HJB equation arising from portfolio optimization selection, where the…

数理金融 · 定量金融 2021-04-14 Daniel Sevcovic , Cyril Izuchukwu Udeani