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Stability of the utility maximization problem with random endowment and indifference prices is studied for a sequence of financial markets in an incomplete Brownian setting. Our novelty lies in the nonequivalence of markets, in which the…

投资组合管理 · 定量金融 2015-06-25 Kim Weston

This article studies quadratic semimartingale BSDEs arising in power utility maximization when the market price of risk is of BMO type. In a Brownian setting we provide a necessary and sufficient condition for the existence of a solution…

概率论 · 数学 2012-05-10 Christoph Frei , Markus Mocha , Nicholas Westray

We perform a stability analysis for the utility maximization problem in a general semimartingale model where both liquid and illiquid assets (random endowments) are present. Small misspecifications of preferences (as modeled via expected…

投资组合管理 · 定量金融 2010-03-17 Constantinos Kardaras , Gordan Zitkovic

This paper studies stability of the exponential utility maximization when there are small variations on agent's utility function. Two settings are considered. First, in a general semimartingale model where random endowments are present, a…

投资组合管理 · 定量金融 2013-09-04 Hao Xing

The effectiveness of utility-maximization techniques for portfolio management relies on our ability to estimate correctly the parameters of the dynamics of the underlying financial assets. In the setting of complete or incomplete financial…

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

This article studies the sensitivity of the power utility maximization problem with respect to the investor's relative risk aversion, the statistical probability measure, the investment constraints and the market price of risk. We extend…

最优化与控制 · 数学 2011-07-04 Markus Mocha , Nicholas Westray

We prove existence and uniqueness of stochastic equilibria in a class of incomplete continuous-time financial environments where the market participants are exponential utility maximizers with heterogeneous risk-aversion coefficients and…

综合金融 · 定量金融 2010-06-02 Gordan Zitkovic

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 formulate conditions for the solvability of the problem of robust utility maximization from final wealth in continuous time financial markets, without assuming weak compactness of the densities of the uncertainty set, as customary in the…

最优化与控制 · 数学 2015-07-14 Julio Backhoff , Joaquín Fontbona

In this paper we extend the stability results of [4]}. Our utility maximization problem is defined as an essential supremum of conditional expectations of the terminal values of wealth processes, conditioned on the filtration at the…

投资组合管理 · 定量金融 2011-03-28 Erhan Bayraktar , Ross Kravitz

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

数理金融 · 定量金融 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

We study stability properties of the expected utility function in Bayesian optimal experimental design. We provide a framework for this problem in a non-parametric setting and prove a convergence rate of the expected utility with respect to…

统计理论 · 数学 2023-11-07 Duc-Lam Duong , Tapio Helin , Jose Rodrigo Rojo-Garcia

The problem of robust utility maximization in an incomplete market with volatility uncertainty is considered, in the sense that the volatility of the market is only assumed to lie between two given bounds. The set of all possible models…

概率论 · 数学 2015-04-07 Anis Matoussi , Dylan Possamaï , Chao Zhou

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 study a general robust utility maximization problem in a discrete-time frictionless market. The investor is assumed to have a possibly infinite, random, nonconcave, and nondecreasing utility function defined on the whole real line. She…

数理金融 · 定量金融 2025-10-14 Laurence Carassus , Massinissa Ferhoune

In this paper we present a duality theory for the robust utility maximisation problem in continuous time for utility functions defined on the positive real axis. Our results are inspired by -- and can be seen as the robust analogues of --…

数理金融 · 定量金融 2021-06-15 Daniel Bartl , Michael Kupper , Ariel Neufeld

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

We consider the problem of utility maximization with exponential preferences in a market where the traded stock/risky asset price is modelled as a L\'evy-driven pure jump process (i.e. the driving L\'evy process has no Brownian component).…

概率论 · 数学 2016-02-02 Carla Mereu , Robert Stelzer

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 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
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