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In this work we study the continuous time exponential utility maximization problem in the framework of an investor who is informed about the price changes with a delay. This leads to a non-Markovian stochastic control problem. In the case…

Mathematical Finance · Quantitative Finance 2025-10-06 Yan Dolinsky

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…

Portfolio Management · Quantitative Finance 2019-02-12 Daniel Bartl

In this paper we derive the exact solution of the multi-period portfolio choice problem for an exponential utility function under return predictability. It is assumed that the asset returns depend on predictable variables and that the joint…

Portfolio Management · Quantitative Finance 2023-04-19 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

We consider the problem of choosing an optimal portfolio, assuming the asset returns have a Gaussian mixture (GM) distribution, with the objective of maximizing expected exponential utility. In this paper we show that this problem is…

Optimization and Control · Mathematics 2022-08-12 Eric Luxenberg , Stephen Boyd

In this work we study a continuous time exponential utility maximization problem in the presence of a linear temporary price impact. More precisely, for the case where the risky asset is given by the Ornstein-Uhlenbeck diffusion process we…

Portfolio Management · Quantitative Finance 2025-10-01 Yan Dolinsky

In this work we consider the exponential utility maximization problem in the framework of semistatic hedging.

Mathematical Finance · Quantitative Finance 2024-09-19 Yan Dolinsky , Or Zuk

We calculate explicitly the optimal strategy for an investor with exponential utility function when the stock price follows an autoregressive Gaussian process. We also calculate its performance and analyse it when the trading horizon tends…

Optimization and Control · Mathematics 2015-01-08 Sándor Deák , Miklós Rásonyi

Obtaining utility maximizing optimal portfolios in closed form is a challenging issue when the return vector follows a more general distribution than the normal one. In this note, we give closed form expressions, in markets based on…

Portfolio Management · Quantitative Finance 2026-02-10 Miklós Rásonyi , Hasanjan Sayit

We consider a discrete-time financial market model with finite time horizon and give conditions which guarantee the existence of an optimal strategy for the problem of maximizing expected terminal utility. Equivalent martingale measures are…

Probability · Mathematics 2008-12-10 Miklos Rasonyi , Lukasz Stettner

We study the problem of maximising terminal utility for an agent facing model uncertainty, in a frictionless discrete-time market with one safe asset and finitely many risky assets. We show that an optimal investment strategy exists if the…

Mathematical Finance · Quantitative Finance 2020-07-10 Miklós Rásonyi , Andrea Meireles-Rodrigues

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…

Mathematical Finance · Quantitative Finance 2017-10-03 Laurence Carassus , Romain Blanchard

Consider power utility maximization of terminal wealth in a 1-dimensional continuous-time exponential Levy model with finite time horizon. We discretize the model by restricting portfolio adjustments to an equidistant discrete time grid.…

Portfolio Management · Quantitative Finance 2012-04-27 Johannes Temme

We give a general formulation of the utility maximization problem under nondominated model uncertainty in discrete time and show that an optimal portfolio exists for any utility function that is bounded from above. In the unbounded case,…

Portfolio Management · Quantitative Finance 2013-07-16 Marcel Nutz

This paper investigates the optimal selection of portfolios for power utility maximizing investors in a financial market where stock returns depend on a hidden Gaussian mean reverting drift process. Information on the drift is obtained from…

Portfolio Management · Quantitative Finance 2024-07-01 Abdelali Gabih , Ralf Wunderlich

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to the Value at Risk assuming a heavy tail distribution of the stock prices…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Diganta Mukherjee

We consider a discrete-time version of the popular optimal dividend pay-out problem in risk theory. The novel aspect of our approach is that we allow for a risk averse insurer, i.e., instead of maximising the expected discounted dividends…

Probability · Mathematics 2015-12-02 Nicole Bäuerle , Anna Jaśkiewicz

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…

Mathematical Finance · Quantitative Finance 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou

This paper investigates well posedness of utility maximization problems for financial markets where stock returns depend on a hidden Gaussian mean reverting drift process. Since that process is potentially unbounded, well posedness cannot…

Portfolio Management · Quantitative Finance 2024-07-25 Abdelali Gabih , Hakam Kondakji , Ralf Wunderlich

We consider the estimation of the multi-period optimal portfolio obtained by maximizing an exponential utility. Employing Jeffreys' non-informative prior and the conjugate informative prior, we derive stochastic representations for the…

Statistics Theory · Mathematics 2023-04-19 David Bauder , Taras Bodnar , Nestor Parolya , Wolfgang Schmid

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…

Mathematical Finance · Quantitative Finance 2024-02-28 Laurence Carassus , Massinissa Ferhoune
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