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相关论文: Optimal Consumption-Investment for General Utility…

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This paper studies the infinite-horizon optimal consumption with a path-dependent reference under exponential utility. The performance is measured by the difference between the nonnegative consumption rate and a fraction of the historical…

数理金融 · 定量金融 2022-03-23 Shuoqing Deng , Xun Li , Huyen Pham , Xiang Yu

We consider a model of optimal investment and consumption with both habit formation and partial observations in incomplete It\^{o} processes market. The investor chooses his consumption under the addictive habits constraint while only…

投资组合管理 · 定量金融 2014-08-12 Xiang Yu

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…

最优化与控制 · 数学 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

This paper studies a finite horizon utility maximization problem on excessive consumption under a drawdown constraint. Our control problem is an extension of the one considered in Bahman et al. (2019) to the model with a finite horizon and…

最优化与控制 · 数学 2024-11-05 Xiaoshan Chen , Xun Li , Fahuai Yi , Xiang Yu

We study the optimal investment-consumption problem for a member of defined contribution plan during the decumulation phase. For a fixed annuitization time, to achieve higher final annuity, we consider a variable consumption rate. Moreover,…

投资组合管理 · 定量金融 2020-08-18 Hassan Dadashi

This paper studies a loss-averse version of the multiplicative habit formation preference and the corresponding optimal investment and consumption strategies over an infinite horizon. The agent's consumption preference is depicted by a…

数理金融 · 定量金融 2026-03-23 Bahman Angoshtari , Xiang Yu , Fengyi Yuan

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

This paper studies a life-cycle optimal portfolio-consumption problem when the consumption performance is measured by a shortfall aversion preference with an additional drawdown constraint on consumption rate. Meanwhile, the agent also…

最优化与控制 · 数学 2022-10-21 Xun Li , Xiang Yu , Qinyi Zhang

This paper studies an optimal consumption problem for a loss-averse agent with reference to past consumption maximum. To account for loss aversion on relative consumption, an S-shaped utility is adopted that measures the difference between…

最优化与控制 · 数学 2024-03-11 Xun Li , Xiang Yu , Qinyi Zhang

This paper is concerned with the axiomatic foundation and explicit construction of a general class of optimality criteria that can be used for investment problems with multiple time horizons, or when the time horizon is not known in…

投资组合管理 · 定量金融 2014-02-03 Sergey Nadtochiy , Michael Tehranchi

We consider a utility maximization problem for an investment-consumption portfolio when the current utility depends also on the wealth process. Such kind of problems arise, e.g., in portfolio optimization with random horizon or with random…

投资组合管理 · 定量金融 2015-02-10 Salvatore Federico , Paul Gassiat , Fausto Gozzi

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

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale…

数理金融 · 定量金融 2018-06-20 Lijun Bo , Agostino Capponi

We consider an optimal control problem for a linear stochastic integro-diffe\-rential equation with conic constraints on the phase variable and the control of singular-regular type. Our setting includes consumption-investment problems for…

最优化与控制 · 数学 2015-01-20 Dimitri De Vallière , Yuri Kabanov , Emmanuel Lépinette

This paper considers a utility maximization and optimal asset allocation problem in the presence of a stochastic endowment that cannot be fully hedged through trading in the financial market. After studying continuity properties of the…

投资组合管理 · 定量金融 2022-02-24 Christoph Belak , An Chen , Carla Mereu , Robert Stelzer

We formulate an infinite-horizon optimal investment and consumption problem, in which an individual forms a habit based on the exponentially weighted average of her past consumption rate, and in which she invests in a Black-Scholes market.…

数理金融 · 定量金融 2022-06-10 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

We investigate optimal consumption and investment problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall. We formulate various utility maximization problems, which can be solved explicitly. We…

投资组合管理 · 定量金融 2010-02-15 Claudia Kluppelberg , Serguei Pergamenchtchikov

In this paper, we investigate an interesting and important stopping problem mixed with stochastic controls and a \textit{nonsmooth} utility over a finite time horizon. The paper aims to develop new methodologies, which are significantly…

最优化与控制 · 数学 2015-07-06 Chonghu Guan , Xun Li , Zuoquan Xu , Fahuai Yi

The main objective of this paper is to develop a martingale-type solution to optimal consumption--investment choice problems ([Merton, 1969] and [Merton, 1971]) under time-varying incomplete preferences driven by externalities such as…

数理金融 · 定量金融 2025-01-14 Weixuan Xia
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