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相关论文: Equilibrium Portfolio Selection under Utility-Vari…

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In this paper, we solve the time inconsistent portfolio selection problem by using different utility functions with a moving target as our constraint. We solve this problem by finding an equilibrium control under the given definition as our…

投资组合管理 · 定量金融 2014-02-28 Hanqing Jin , Yimin Yang

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…

最优化与控制 · 数学 2020-04-23 I. Alia , F. Chighoub , N. Khelfallah , J. Vives

This paper addresses the portfolio selection problem for nonlinear law-dependent preferences in continuous time, which inherently exhibit time inconsistency. Employing the method of stochastic maximum principle, we establish verification…

数理金融 · 定量金融 2023-11-15 Zongxia Liang , Jianming Xia , Fengyi Yuan

This paper considers the portfolio management problem of optimal investment, consumption and life insurance. We are concerned with time inconsistency of optimal strategies. Natural assumptions, like different discount rates for consumption…

最优化与控制 · 数学 2011-07-25 Ivar Ekeland , Oumar Mbodji , Traian A. Pirvu

This paper discusses a nonlinear integral equation arising from portfolio selection with a class of time-inconsistent preferences. We propose a unified framework requiring minimal assumptions, such as right-continuity of market coefficients…

数理金融 · 定量金融 2025-01-20 Zongxia Liang , Sheng Wang , Jianming Xia

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…

投资组合管理 · 定量金融 2022-01-26 Minglian Lin , Indranil SenGupta

This paper investigates portfolio selection within a continuous-time financial market with regime-switching and beliefs-dependent utilities. The market coefficients and the investor's utility function both depend on the market regime, which…

最优化与控制 · 数学 2024-10-23 Xiaochen Chen , Guohui Guan , Zongxia Liang

We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility. As such a model is inherently time inconsistent due to the underlying probability weighting, we study the…

数理金融 · 定量金融 2020-06-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

This is a companion paper of [Mixed equilibrium solution of time-inconsistent stochastic LQ problem, arXiv:1802.03032], where general theory has been established to characterize the open-loop equilibrium control, feedback equilibrium…

最优化与控制 · 数学 2018-03-26 Yuan-Hua Ni , Xun Li , Ji-Feng Zhang , Miroslav Krstic

In this paper, we formulate a general time-inconsistent stochastic linear--quadratic (LQ) control problem. The time-inconsistency arises from the presence of a quadratic term of the expected state as well as a state-dependent term in the…

最优化与控制 · 数学 2011-11-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

We investigate time-inconsistent portfolio problems under a broader class of monotone mean-variance (MMV) preferences. Since the optimal strategies for MMV and mean-variance (MV) preferences coincide, the MMV optimal strategies at different…

最优化与控制 · 数学 2026-04-21 Yike Wang , Yusha Chen , Jingzhen Liu

We study the Merton portfolio management problem within a complete market, non constant time discount rate and general utility framework. The non constant discount rate introduces time inconsistency which can be solved by introducing sub…

投资组合管理 · 定量金融 2026-02-23 Oumar Mbodji

We investigate the portfolio selection problem for an agent with rank-dependent utility in an incomplete financial market. For a constant-coefficient market and CRRA utilities, we characterize the deterministic strict equilibrium…

数理金融 · 定量金融 2024-10-01 Jiaqin Wei , Jianming Xia , Qian Zhao

This paper considers a class of stochastic control problems with implicitly defined objective functions, which are the sources of time-inconsistency. We study the closed-loop equilibrium solutions in a general controlled diffusion…

最优化与控制 · 数学 2023-12-29 Zongxia Liang , Jianming Xia , Keyu Zhang

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

最优化与控制 · 数学 2011-02-25 Traian A Pirvu , Huayue Zhang

This paper considers a newly delayed reinsurance and investment optimization problem incorporating random risk aversion, in which an insurer pursues maximization of the expected certainty equivalent of her/his terminal wealth and the…

最优化与控制 · 数学 2026-01-23 Jian-hao Kang , Zhun Gou , Nan-jing Huang

In this paper, we propose a machine learning algorithm for time-inconsistent portfolio optimization. The proposed algorithm builds upon neural network based trading schemes, in which the asset allocation at each time point is determined by…

投资组合管理 · 定量金融 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

In this paper, we investigate the Merton portfolio management problem in the context of non-exponential discounting. This gives rise to time-inconsistency of the decision-maker. If the decision-maker at time t=0 can commit his/her…

投资组合管理 · 定量金融 2008-12-02 Ivar Ekeland , Traian A. Pirvu

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…

数理金融 · 定量金融 2024-12-20 Minglian Lin , Indranil SenGupta

This paper investigates the problem of maximizing expected terminal utility in a discrete-time financial market model with a finite horizon under non-dominated model uncertainty. We use a dynamic programming framework together with…

数理金融 · 定量金融 2017-10-03 Laurence Carassus , Romain Blanchard
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