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This paper studies an optimal forward investment problem in an incomplete market with model uncertainty, in which the underlying stocks depend on the correlated stochastic factors. The uncertainty stems from the probability measure chosen…

Portfolio Management · Quantitative Finance 2021-05-05 Juan Li , Wenqiang Li , Gechun Liang

We study the expected utility portfolio optimization problem in an incomplete financial market where the risky asset dynamics depend on stochastic factors and the portfolio allocation is constrained to lie within a given convex set. We…

Portfolio Management · Quantitative Finance 2023-03-20 Marcos Escobar-Anel , Michel Kschonnek , Rudi Zagst

We study the optimal investment and proportional reinsurance problem of an insurance company, whose investment preferences are described via a forward dynamic utility of exponential type in a stochastic factor model allowing for a possible…

Mathematical Finance · Quantitative Finance 2022-10-20 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the…

Computational Finance · Quantitative Finance 2025-06-10 Hans Buehler , Blanka Horvath , Yannick Limmer , Thorsten Schmidt

A risk-averse agent hedges her exposure to a non-tradable risk factor $U$ using a correlated traded asset $S$ and accounts for the impact of her trades on both factors. The effect of the agent's trades on $U$ is referred to as cross-impact.…

Mathematical Finance · Quantitative Finance 2020-03-03 Alvaro Cartea , Ryan Donnelly , Sebastian Jaimungal

Drifts of asset returns are notoriously difficult to model accurately and, yet, trading strategies obtained from portfolio optimization are very sensitive to them. To mitigate this well-known phenomenon we study robust growth-optimization…

Mathematical Finance · Quantitative Finance 2026-01-01 Balint Binkert , David Itkin , Paul Mangers Bastian , Josef Teichmann

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

Mathematical Finance · Quantitative Finance 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

This paper investigates optimal portfolio strategies in a financial market where the drift of the stock returns is driven by an unobserved Gaussian mean reverting process. Information on this process is obtained from observing stock returns…

Portfolio Management · Quantitative Finance 2016-03-15 Abdelali Gabih , Hakam Kondakji , Jörn Sass , Ralf Wunderlich

Risk control and optimal diversification constitute a major focus in the finance and insurance industries as well as, more or less consciously, in our everyday life. We present a discussion of the characterization of risks and of the…

Statistical Mechanics · Physics 2015-06-25 Didier Sornette

When the available statistical information is imperfect, it is dangerous to follow standard optimisation procedures to construct an optimal portfolio, which usually leads to a strong concentration of the weights on very few assets. We…

Statistical Mechanics · Physics 2008-12-02 Jean-Philippe Bouchaud , Marc Potters , Jean-Pierre Aguilar

We discuss an optimal investment, consumption and insurance problem of a wage earner under inflation. Assume a wage earner investing in a real money account and three asset prices, namely: a real zero coupon bond, the inflation-linked real…

Optimization and Control · Mathematics 2017-11-07 Calisto Guambe , Rodwell Kufakunesu

We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external…

Physics and Society · Physics 2008-12-02 Stefano Ciliberti , Imre Kondor , Marc Mezard

We study an optimal control problem on infinite time horizon with semimartingale strategies, random coefficients and regime switching. The value function and the optimal strategy can be characterized in terms of three systems of backward…

Optimization and Control · Mathematics 2026-02-27 Xinman Cheng , Guanxing Fu , Xiaonyu Xia

This paper studies the question of filtering and maximizing terminal wealth from expected utility in a partially information stochastic volatility models. The special features is that the only information available to the investor is the…

Portfolio Management · Quantitative Finance 2015-07-28 Dalia Ibrahim , Frédéric Abergel

The paper investigates quadratic hedging in a semimartingale market that does not necessarily contain a risk-free asset. An equivalence result for hedging with and without numeraire change is established. This permits direct computation of…

Optimization and Control · Mathematics 2025-07-08 Aleš Černý , Christoph Czichowsky , Jan Kallsen

In recent decades, companies have frequently adopted share repurchase programs to return capital to shareholders or for other strategic purposes, instructing investment banks to rapidly buy back shares on their behalf. When the executing…

Pricing of Securities · Quantitative Finance 2026-01-27 Stefano Corti , Roberto Daluiso , Andrea Pallavicini

Systemic risk arises as a multi-layer network phenomenon. Layers represent direct financial exposures of various types, including interbank liabilities, derivative- or foreign exchange exposures. Another network layer of systemic risk…

Risk Management · Quantitative Finance 2018-03-13 Anton Pichler , Sebastian Poledna , Stefan Thurner

Sharp asymptotic lower bounds of the expected quadratic variation of discretization error in stochastic integration are given. The theory relies on inequalities for the kurtosis and skewness of a general random variable which are themselves…

Probability · Mathematics 2012-04-04 Masaaki Fukasawa

Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

Risk Management · Quantitative Finance 2010-12-22 Zongxia Liang , Jicheng Yao

Derivative hedging and pricing are important and continuously studied topics in financial markets. Recently, deep hedging has been proposed as a promising approach that uses deep learning to approximate the optimal hedging strategy and can…

Computational Finance · Quantitative Finance 2024-04-16 Masanori Hirano