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This paper addresses the problem of utility maximization under uncertain parameters. In contrast with the classical approach, where the parameters of the model evolve freely within a given range, we constrain them via a penalty function. We…

Optimization and Control · Mathematics 2022-03-08 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning

We study the problem of dynamically trading a futures contract and its underlying asset under a stochastic basis model. The basis evolution is modeled by a stopped scaled Brownian bridge to account for non-convergence of the basis at…

Portfolio Management · Quantitative Finance 2019-05-28 Bahman Angoshtari , Tim Leung

We study optimal liquidation of a trading position (so-called block order or meta-order) in a market with a linear temporary price impact (Kyle, 1985). We endogenize the pressure to liquidate by introducing a downward drift in the…

Portfolio Management · Quantitative Finance 2018-05-25 Pavol Brunovský , Aleš Černý , Ján Komadel

This paper studies the bail-out optimal dividend problem with regime switching under the constraint that the cumulative dividend strategy is absolutely continuous. We confirm the optimality of the regime-modulated refraction-reflection…

Mathematical Finance · Quantitative Finance 2020-02-10 Kei Noba , José-Luis Pérez , Xiang Yu

This article studies a portfolio optimization problem, where the market consisting of several stocks is modeled by a multi-dimensional jump-diffusion process with age-dependent semi-Markov modulated coefficients. We study risk sensitive…

Portfolio Management · Quantitative Finance 2019-10-21 Milan Kumar Das , Anindya Goswami , Nimit Rana

We propose a new risk-constrained reformulation of the standard Linear Quadratic Regulator (LQR) problem. Our framework is motivated by the fact that the classical (risk-neutral) LQR controller, although optimal in expectation, might be…

Systems and Control · Electrical Eng. & Systems 2020-10-30 Anastasios Tsiamis , Dionysios S. Kalogerias , Luiz F. O. Chamon , Alejandro Ribeiro , George J. Pappas

We consider a portfolio optimization problem in a defaultable market with finitely-many economical regimes, where the investor can dynamically allocate her wealth among a defaultable bond, a stock, and a money market account. The market…

Portfolio Management · Quantitative Finance 2011-09-07 Agostino Capponi , Jose E. Figueroa-Lopez

In this paper, we focus on the problem of optimal portfolio-consumption policies in a multi-asset financial market, where the n risky assets follow Exponential Ornstein-Uhlenbeck processes, along with one risk-free bond. The investor's…

Optimization and Control · Mathematics 2025-09-10 Zhaoxiang Zhong , Haiming Song

This paper explores the optimal investment problem of a renewal risk model with generalized Erlang distributed interarrival times. The phases of the Erlang interarrival time is assumed to be observable. The price of the risky asset is…

Optimization and Control · Mathematics 2025-06-04 Linlin Tian , Yixuan Tian , Bohan Li , Guoqing Li

We study a robust portfolio optimization problem under model uncertainty for an investor with logarithmic or power utility. The uncertainty is specified by a set of possible L\'evy triplets; that is, possible instantaneous drift, volatility…

Mathematical Finance · Quantitative Finance 2016-03-23 Ariel Neufeld , Marcel Nutz

This paper addresses an open problem in the area of linear quadratic optimal control. We consider the regular, infinite-horizon, stability-modulo-a-subspace, indefinite linear quadratic problem under the assumption that the dynamics are…

Optimization and Control · Mathematics 2019-05-03 Marijan Vukosavljev , Angela P. Schoellig , Mireille E. Broucke

In this work we investigate the optimal proportional reinsurance-investment strategy of an insurance company which wishes to maximize the expected exponential utility of its terminal wealth in a finite time horizon. Our goal is to extend…

Risk Management · Quantitative Finance 2019-04-04 Matteo Brachetta , Claudia Ceci

This work initiates research into the problem of determining an optimal investment strategy for investors with different attitudes towards the trade-offs of risk and profit. The probability distribution of the return values of the stocks…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ming-Yang Kao , Andreas Nolte , Stephen R. Tate

We consider an optimal control problem of a property insurance company with proportional reinsurance strategy. The insurance business brings in catastrophe risk, such as earthquake and flood. The catastrophe risk could be partly reduced by…

Risk Management · Quantitative Finance 2010-09-08 Zongxia Liang , Lin He , Jiaoling Wu

In the frictionless discrete time financial market of Bouchard et al.(2015) we consider a trader who, due to regulatory requirements or internal risk management reasons, is required to hedge a claim $\xi$ in a risk-conservative way relative…

Mathematical Finance · Quantitative Finance 2019-02-19 Laurence Carassus , Jan Obloj , Johannes Wiesel

We consider a finite horizon optimal stopping problem related to trade-off strategies between expected profit and cost cash-flows of an investment under uncertainty. The optimal problem is first formulated in terms of a system of Snell…

Portfolio Management · Quantitative Finance 2010-01-25 Boualem Djehiche , Said Hamadène , Marie Amélie Morlais

This paper studies an optimal insurance contracting problem in which the preferences of the decision maker given by the sum of the expected loss and a convex, increasing function of a deviation measure. As for the deviation measure, our…

Risk Management · Quantitative Finance 2023-12-05 Tim J. Boonen , Xia Han

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

Probability · Mathematics 2014-01-10 Idris Kharroubi , Huyen Pham

We consider a broker who has to place a large order which consumes a sizable part of average daily trading volume. The broker's aim is thus to minimize execution costs he incurs from the adverse impact of his trades on market prices. By…

Trading and Market Microstructure · Quantitative Finance 2013-10-14 Peter Bank , Antje Fruth

Portfolio selection problems that optimize expected utility are usually difficult to solve. If the number of assets in the portfolio is large, such expected utility maximization problems become even harder to solve numerically. Therefore,…

Portfolio Management · Quantitative Finance 2026-02-17 Nuerxiati Abudurexiti , Erhan Bayraktar , Takaki Hayashi , Hasanjan Sayit