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In the large financial market, which is described by a model with countably many traded assets, we formulate the problem of the expected utility maximization. Assuming that the preferences of an economic agent are modeled with a stochastic…

Portfolio Management · Quantitative Finance 2014-10-21 Oleksii Mostovyi

We study arbitrage opportunities, market viability and utility maximization in market models with an insider. Assuming that an economic agent possesses from the beginning an additional information in the form of a random variable G, which…

Risk Management · Quantitative Finance 2016-10-03 Ngoc Huy Chau , Wolfgang Runggaldier , Peter Tankov

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…

Mathematical Finance · Quantitative Finance 2023-05-25 Zixin Feng , Dejian Tian

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…

Probability · Mathematics 2008-12-10 Julien Hugonnier , Dmitry Kramkov

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…

Portfolio Management · Quantitative Finance 2008-12-10 Kasper Larsen , Gordan Zitkovic

This paper studies the continuous time utility maximization problem on consumption with addictive habit formation in incomplete semimartingale markets. Introducing the set of auxiliary state processes and the modified dual space, we embed…

Portfolio Management · Quantitative Finance 2015-05-29 Xiang Yu

We consider a stochastic financial incomplete market where the price processes are described by a vector-valued semimartingale that is possibly nonlocally bounded. We face the classical problem of utility maximization from terminal wealth,…

Probability · Mathematics 2008-12-18 Sara Biagini , Marco Frittelli

We consider a continuous-time market with proportional transaction costs. Under appropriate assumptions we prove the existence of optimal strategies for investors who maximize their worst-case utility over a class of possible models. We…

Mathematical Finance · Quantitative Finance 2018-12-06 Huy N. Chau , Miklos Rasonyi

In this paper, we propose the uncertain volatility models with stochastic bounds. Like the regular uncertain volatility models, we know only that the true model lies in a family of progressively measurable and bounded processes, but instead…

Mathematical Finance · Quantitative Finance 2017-02-17 Jean-Pierre Fouque , Ning Ning

In this paper the robust utility maximization problem for a market model based on L\'evy processes is analyzed. The interplay between the form of the utility function and the penalization function required to have a well posed problem is…

Portfolio Management · Quantitative Finance 2012-06-05 Daniel Hernández-Hernández , Leonel Pérez-Hernández

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

Portfolio Management · Quantitative Finance 2025-11-18 Lóránt Nagy , Miklós Rásonyi

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…

Mathematical Finance · Quantitative Finance 2016-09-06 Yiqing Lin , Junjian Yang

This paper investigates a time-inconsistent portfolio selection problem in the incomplete mar ket model, integrating expected utility maximization with risk control. The objective functional balances the expected utility and variance on log…

Portfolio Management · Quantitative Finance 2025-12-02 Yue Cao , Zongxia Liang , Sheng Wang , Xiang Yu

This paper studies the problem of maximizing expected utility from terminal wealth in a semi-static market composed of derivative securities, which we assume can be traded only at time zero, and of stocks, which can be traded continuously…

Portfolio Management · Quantitative Finance 2013-10-09 Pietro Siorpaes

We consider an agent who has access to a financial market, including derivative contracts, who looks to maximise her utility. Whilst the agent looks to maximise utility over one probability measure, or class of probability measures, she…

Mathematical Finance · Quantitative Finance 2026-01-01 Alexander M. G. Cox , Daniel Hernandez-Hernandez

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…

Portfolio Management · Quantitative Finance 2012-08-13 Marcel Nutz

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…

Portfolio Management · Quantitative Finance 2008-12-10 Ioannis Karatzas , Gordan Zitkovic

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…

Mathematical Finance · Quantitative Finance 2025-09-26 Xueying Huang , Peng Luo , Dejian Tian

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…

Portfolio Management · Quantitative Finance 2015-10-21 Thomas Lim , Marie-Claire Quenez

The paper studies the robust maximization of utility of terminal wealth in the diffusion financial market model. The underlying model consists with risky tradable asset, whose price is described by diffusion process with misspecified trend…

Portfolio Management · Quantitative Finance 2009-11-17 R. Tevzadze , T. Toronjadze