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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 study a robust utility maximization problem in a general discrete-time frictionless market under quasi-sure no-arbitrage. The investor is assumed to have a random and concave utility function defined on the whole real-line. She also…

数理金融 · 定量金融 2024-02-28 Laurence Carassus , Massinissa Ferhoune

We consider the economic problem of optimal consumption and investment with power utility. We study the optimal strategy as the relative risk aversion tends to infinity or to one. The convergence of the optimal consumption is obtained for…

投资组合管理 · 定量金融 2012-08-13 Marcel Nutz

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

We study the utility maximization problem for power utility random fields in a semimartingale financial market, with and without intermediate consumption. The notion of an opportunity process is introduced as a reduced form of the value…

投资组合管理 · 定量金融 2010-11-03 Marcel Nutz

In this article we consider an optimization problem of expected utility maximization of continuous-time trading in a financial market. This trading is constrained by a benchmark for a utility-based shortfall risk measure. The market…

数理金融 · 定量金融 2016-10-28 Oliver Janke

In this paper, we study expected utility maximization under ratchet and drawdown constraints on consumption in a general incomplete semimartingale market using duality methods. The optimization is considered with respect to two parameters:…

最优化与控制 · 数学 2022-07-19 Anastasiya Tanana

In this paper, we study the problem of expected utility maximization of an agent who, in addition to an initial capital, receives random endowments at maturity. Contrary to previous studies, we treat as the variables of the optimization…

概率论 · 数学 2008-12-10 Julien Hugonnier , Dmitry Kramkov

We consider the problem of maximizing expected utility from consumption in a constrained incomplete semimartingale market with a random endowment process, and establish a general existence and uniqueness result using techniques from convex…

投资组合管理 · 定量金融 2008-12-10 Ioannis Karatzas , Gordan Zitkovic

We consider an optimal consumption/investment problem to maximize expected utility from consumption. In this market model, the investor is allowed to choose a portfolio which consists of one bond, one liquid risky asset (no transaction…

数理金融 · 定量金融 2019-01-30 Jin Hyuk Choi

We treat utility maximization from terminal wealth for an agent with utility function $U:\mathbb{R}\to\mathbb{R}$ who dynamically invests in a continuous-time financial market and receives a possibly unbounded random endowment. We prove the…

投资组合管理 · 定量金融 2018-03-23 Miklos Rasonyi

We develop a duality theory for the problem of maximising expected lifetime utility from inter-temporal wealth over an infinite horizon, under the minimal no-arbitrage assumption of No Unbounded Profit with Bounded Risk (NUPBR). We use only…

投资组合管理 · 定量金融 2020-10-13 Michael Monoyios

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 paper investigates the consumption-investment problem for an investor with Epstein-Zin utility in an incomplete market. Closed, not necessarily convex, constraints are imposed on strategies. The optimal consumption and investment…

数理金融 · 定量金融 2023-05-25 Zixin Feng , Dejian Tian

We consider the problem of optimal consumption of multiple goods in incomplete semimartingale markets. We formulate the dual problem and identify conditions that allow for existence and uniqueness of the solution and give a characterization…

数理金融 · 定量金融 2018-01-09 Oleksii Mostovyi

In this paper, we study an intertemporal utility maximization problem in which an investor chooses consumption and portfolio strategies in the presence of a stochastic factor and a no-borrowing constraint. In the spirit of the Kim-Omberg…

最优化与控制 · 数学 2026-03-12 Giorgio Ferrari , Tim Niclas Schütz

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

In this paper, we consider a financial market with assets exposed to some risks inducing jumps in the asset prices, and which can still be traded after default times. We use a default-intensity modeling approach, and address in this…

投资组合管理 · 定量金融 2015-10-21 Thomas Lim , Marie-Claire Quenez

A continuous-time consumption-investment model with constraint is considered for a small investor whose decisions are the consumption rate and the allocation of wealth to a risk-free and a risky asset with logarithmic Brownian motion…

投资组合管理 · 定量金融 2022-01-06 Zuo Quan Xu , Fahuai Yi

We study the optimal investment problem for a continuous time incomplete market model such that the risk-free rate, the appreciation rates and the volatility of the stocks are all random; they are assumed to be independent from the driving…

投资组合管理 · 定量金融 2014-04-01 Nikolai Dokuchaev