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We study an optimal control problem encompassing investment, consumption, and retirement decisions under exponential (CARA-type) utility. The financial market comprises a bond with constant drift and a stock following geometric Brownian…

最优化与控制 · 数学 2024-12-05 Tae Ung Gang , Yong Hyun Shin

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

We consider the robust exponential utility maximization problem in discrete time: An investor maximizes the worst case expected exponential utility with respect to a family of nondominated probabilistic models of her endowment by…

投资组合管理 · 定量金融 2019-02-12 Daniel Bartl

We consider a utility-maximization problem in a general semimartingale financial model, subject to constraints on the number of shares held in each risky asset. These constraints are modeled by predictable convex-set-valued processes whose…

投资组合管理 · 定量金融 2013-02-25 Kasper Larsen , Gordan Žitković

Assuming that agents' preferences satisfy first-order stochastic dominance, we show how the Expected Utility paradigm can rationalize all optimal investment choices: the optimal investment strategy in any behavioral law-invariant…

投资组合管理 · 定量金融 2014-02-03 Carole Bernard , Jit Seng Chen , Steven Vanduffel

We present an optimal investment theorem for a currency exchange model with random and possibly discontinuous proportional transaction costs. The investor's preferences are represented by a multivariate utility function, allowing for…

概率论 · 数学 2009-04-08 Luciano Campi , Mark P. Owen

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

The aim of this work consists in the study of the optimal investment strategy for a behavioural investor, whose preference towards risk is described by both a probability distortion and an S-shaped utility function. Within a continuous-time…

投资组合管理 · 定量金融 2013-04-30 Miklos Rasonyi , Andrea M. Rodrigues

We adress the maximization problem of expected utility from terminal wealth. The special feature of this paper is that we consider a financial market where the price process of risky assets can have a default time. Using dynamic…

计算金融 · 定量金融 2010-07-13 Thomas Lim , Marie-Claire Quenez

The economic life of an asset is the optimum length of its usefulness, which is the moment that the asset's expenses are minimum. In this paper, the economic life of physical assets, such as industry machine and equipment, can be…

综合金融 · 定量金融 2012-10-16 Igor Gimenes Cesca , Douglas Duarte Novaes

In this paper we study the problem of maximizing expected utility from the terminal wealth with proportional transaction costs and random endowment. In the context of the existence of consistent price systems, we consider the duality…

数理金融 · 定量金融 2016-09-06 Yiqing Lin , Junjian Yang

This paper solves the problem of optimal dynamic consumption, investment, and healthcare spending with isoelastic utility, when natural mortality grows exponentially to reflect Gompertz' law and investment opportunities are constant.…

数理金融 · 定量金融 2021-07-15 Paolo Guasoni , Yu-Jui Huang

Reducing wealth inequality and increasing utility are critical issues. This study reveals the effects of redistribution and consumption morals on wealth inequality and utility. To this end, we present a novel approach that couples the…

综合经济学 · 经济学 2025-04-21 Takeshi Kato , Yosuke Tanabe , Mohammad Rezoanul Hoque

In this study we propose a unified model of optimal retirement, consumption and portfolio choice of an individual agent, which encompasses a large class of the models in the literature and provide a general methodology to solve the model.…

最优化与控制 · 数学 2021-11-02 Junkee Jeon , Hyeng Keun Koo

We pursue an inverse approach to utility theory and consumption & investment problems. Instead of specifying an agent's utility function and deriving her actions, we assume we observe her actions (i.e. her consumption and investment…

投资组合管理 · 定量金融 2015-03-17 Alexander M. G. Cox , David Hobson , Jan Obloj

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 consider the problem of optimal investment and consumption in a class of multidimensional jump-diffusion models in which asset prices are subject to mutually exciting jump processes. This captures a type of contagion where each downward…

投资组合管理 · 定量金融 2012-10-08 Yacine Aït-Sahalia , T. R. Hurd

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

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

We consider the problem of utility maximization for small traders on incomplete financial markets. As opposed to most of the papers dealing with this subject, the investors' trading strategies we allow underly constraints described by…

概率论 · 数学 2008-12-10 Ying Hu , Peter Imkeller , Matthias Muller