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The paper investigates the consumption-investment problem for an investor with Epstein-Zin utility in an incomplete market. A non-Markovian environment with unbounded parameters is considered, which is more realistic in practical financial…

数理金融 · 定量金融 2025-10-27 Zixin Feng , Dejian Tian , Harry Zheng

In a market with stochastic investment opportunities, we study an optimal consumption investment problem for an agent with recursive utility of Epstein-Zin type. Focusing on the empirically relevant specification where both risk aversion…

概率论 · 数学 2015-11-13 Hao Xing

We study an optimal consumption and investment problem in a possibly incomplete market with general, not necessarily convex, stochastic constraints. We give explicit solutions for investors with exponential, logarithmic and power utility.…

投资组合管理 · 定量金融 2010-12-07 Patrick Cheridito , Ying Hu

This paper studies finite-time optimal consumption-investment problems with power, logarithmic and exponential utilities, in a regime switching market with random coefficients, subject to coupled constraints on the consumption and…

概率论 · 数学 2022-11-11 Ying Hu , Xiaomin Shi , Zuo Quan Xu

In this article we consider the optimal investment-consumption problem for an agent with preferences governed by Epstein-Zin stochastic differential utility who invests in a constant-parameter Black-Scholes-Merton market. The paper has…

数理金融 · 定量金融 2021-07-15 David Hobson , Martin Herdegen , Joseph Jerome

This memoir presents a systematic study of the utility maximization problem of an investor in a constrained and unbounded financial market. Building upon the work of Hu et al. (2005) [Ann. Appl. Probab., 15, 1691--1712] in a bounded…

概率论 · 数学 2024-10-16 Ying Hu , Gechun Liang , Shanjian Tang

We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic…

概率论 · 数学 2014-09-23 Anis Matoussi , Hanen Mezghani , Mohamed Mnif

This paper examines a continuous time intertemporal consumption and portfolio choice problem with a stochastic differential utility preference of Epstein-Zin type for a robust investor, who worries about model misspecification and seeks…

最优化与控制 · 数学 2021-03-09 Jiangyan Pu , Qi Zhang

We study optimal portfolio choice under Epstein-Zin recursive utility in the presence of general leverage constraints. We first establish that the optimal value function is the unique viscosity solution to the associated…

投资组合管理 · 定量金融 2025-10-24 Dejian Tian , Weidong Tian , Jianjun Zhou , Zimu Zhu

In this article, we consider the optimal investment-consumption problem for an agent with preferences governed by Epstein--Zin stochastic differential utility (EZ-SDU) who invests in a constant-parameter Black-Scholes-Merton market over the…

数理金融 · 定量金融 2021-12-14 Martin Herdegen , David Hobson , Joseph Jerome

This article studies the problem of utility maximization in an incomplete market under a class of nonlinear expectations and general constraints on trading strategies. Using a $g$-martingale method, we provide an explicit solution to our…

数理金融 · 定量金融 2025-01-30 Wahid Faidi

This paper introduces a dual problem to study a continuous-time consumption and investment problem with incomplete markets and stochastic differential utility. For Epstein-Zin utility, duality between the primal and dual problems is…

数理金融 · 定量金融 2016-01-15 Anis Matoussi , Hao Xing

This paper solves the consumption-investment problem under Epstein-Zin preferences on a random horizon. In an incomplete market, we take the random horizon to be a stopping time adapted to the market filtration, generated by all observable,…

数理金融 · 定量金融 2024-01-09 Joshua Aurand , Yu-Jui Huang

We introduce a novel approach to solving the optimal portfolio choice problem under Epstein-Zin utility with a time-varying consumption constraint, where analytical expressions for the value function and the dual value function are not…

最优化与控制 · 数学 2025-02-24 Dejian Tian , Weidong Tian , Zimu Zhu

This paper solves a consumption-investment choice problem with Epstein-Zin recursive utility under partial information--unobservable market price of risk. The main novelty is the introduction of a terminal liability constraint, a feature…

最优化与控制 · 数学 2025-12-04 Wilfried Kuissi-Kamdem

We study a robust utility maximization problem in the case of an incomplete market and logarithmic utility with general stochastic constraints, not necessarily convex. Our problem is equivalent to maximizing of nonlinear expected…

数理金融 · 定量金融 2024-06-17 Wahid Faidi

We consider the strategic interaction of traders in a continuous-time financial market with Epstein-Zin-type recursive intertemporal preferences and performance concerns. We derive explicitly an equilibrium for the finite player and the…

最优化与控制 · 数学 2024-03-21 Jodi Dianetti , Frank Riedel , Lorenzo Stanca

This paper investigates a robust optimal consumption, investment, and reinsurance problem for an insurer with Epstein-Zin recursive preferences operating under model uncertainty. The insurer's surplus follows the diffusion approximation of…

最优化与控制 · 数学 2025-11-06 Elizabeth Dadzie , Wilfried Kuissi-Kamdem , Marcel Ndengo

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

We study the expected utility maximization problem of a large investor who is allowed to make transactions on tradable assets in an incomplete financial market with endogenous permanent market impacts. The asset prices are assumed to follow…

数理金融 · 定量金融 2026-01-23 Thai Nguyen , Mitja Stadje
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