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We study the problem of optimal portfolio selection under stochastic volatility within a continuous time reinforcement learning framework with portfolio constraints. Exploration is modeled through entropy-regularized relaxed controls, where…

数理金融 · 定量金融 2026-04-27 Thai Nguyen , Pertiny Nkuize

We derive a closed form portfolio optimization rule for an investor who is diffident about mean return and volatility estimates, and has a CRRA utility. The novelty is that confidence is here represented using ellipsoidal uncertainty sets…

投资组合管理 · 定量金融 2015-02-11 Sara Biagini , Mustafa Pinar

We propose a novel decision making framework for forming potential collaboration among otherwise competing agents in subsurface systems. The agents can be, e.g., groundwater, CO$_2$, or hydrogen injectors and extractors with conflicting…

最优化与控制 · 数学 2025-02-28 Per Pettersson , Sebastian Krumscheid , Sarah Gasda

For an $\cF_T$-measurable payoff of a European type contingent claim, the recursive utility process/dynamic risk measure can be described by the adapted solution to a backward stochastic differential equation (BSDE). However, for an…

概率论 · 数学 2019-12-24 Hanxiao Wang , Jingrui Sun , Jiongmin Yong

This paper examines an optimal investment problem in a continuous-time (essentially) complete financial market with a finite horizon. We deal with an investor who behaves consistently with principles of Cumulative Prospect Theory, and whose…

投资组合管理 · 定量金融 2014-03-18 Miklós Rásonyi , Andrea Meireles Rodrigues

Dynamic portfolio optimization is the process of sequentially allocating wealth to a collection of assets in some consecutive trading periods, based on investors' return-risk profile. Automating this process with machine learning remains a…

机器学习 · 计算机科学 2019-01-28 Pengqian Yu , Joon Sern Lee , Ilya Kulyatin , Zekun Shi , Sakyasingha Dasgupta

We consider the problem of optimal risk sharing in a pool of cooperative agents. We analyze the asymptotic behavior of the certainty equivalents and risk premia associated with the Pareto optimal risk sharing contract as the pool expands.…

风险管理 · 定量金融 2017-05-01 Thomas Knispel , Roger J. A. Laeven , Gregor Svindland

In this paper, we consider a multi-attribute decision making problem where the decision maker's (DM's) objective is to maximize the expected utility of outcomes but the true utility function which captures the DM's risk preference is…

最优化与控制 · 数学 2023-03-30 Qiong Wu , Sainan Zhang , Wei Wang , Huifu Xu

In this paper we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial…

投资组合管理 · 定量金融 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

We investigate a continuous-time investment-consumption problem with model uncertainty in a general diffusion-based market with random model coefficients. We assume that a power utility investor is ambiguity-averse, with the preference to…

投资组合管理 · 定量金融 2024-07-04 Len Patrick Dominic M. Garces , Yang Shen

We study the consumption behaviour of an asymmetric network of heterogeneous agents in the framework of discrete choice models with stochastic decision rules. We assume that the interactions among agents are uniquely specified by their…

无序系统与神经网络 · 物理学 2007-05-23 Giulia Iori , Vassilis Koulovassilopoulos

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…

投资组合管理 · 定量金融 2017-08-04 Imke Redeker , Ralf Wunderlich

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…

数理金融 · 定量金融 2019-01-31 Ruimeng Hu

This paper investigates an optimal consumption-investment problem featuring recursive utility via Tsallis relative entropy. We establish a fundamental connection between this optimization problem and a quadratic backward stochastic…

数理金融 · 定量金融 2025-09-26 Xueying Huang , Peng Luo , Dejian Tian

In this paper we examine non-convex dynamic optimization problems with forward looking constraints. We prove that the recursive multiplier formulation in \cite{marcet2019recursive} gives the optimal value if one assumes that the planner has…

理论经济学 · 经济学 2025-11-26 Chengfeng Shen , Felix Kübler , Zhennan Zhou

Market conditions change continuously. However, in portfolio's investment strategies, it is hard to account for this intrinsic non-stationarity. In this paper, we propose to address this issue by using the Inverse Covariance Clustering…

统计金融 · 定量金融 2022-01-17 Yuanrong Wang , Tomaso Aste

It is a known fact that the performance of optimization algorithms for NP-Hard problems vary from instance to instance. We observed the same trend when we comprehensively studied multi-objective evolutionary algorithms (MOEAs) on a six…

人工智能 · 计算机科学 2017-08-11 Santosh Mungle

We study utility maximization problem for general utility functions using dynamic programming approach. We consider an incomplete financial market model, where the dynamics of asset prices are described by an $R^d$-valued continuous…

概率论 · 数学 2008-12-10 M. Mania , R. Tevzadze

We provide analytical results for a static portfolio optimization problem with two coherent risk measures. The use of two risk measures is motivated by joint decision-making for portfolio selection where the risk perception of the portfolio…

投资组合管理 · 定量金融 2021-01-19 Tahsin Deniz Aktürk , Çağın Ararat

This paper presents several models addressing optimal portfolio choice, optimal portfolio liquidation, and optimal portfolio transition issues, in which the expected returns of risky assets are unknown. Our approach is based on a coupling…

投资组合管理 · 定量金融 2019-03-21 Alexis Bismuth , Olivier Guéant , Jiang Pu