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This paper studies the optimal consumption under the addictive habit formation preference in markets with transaction costs and unbounded random endowments. To model the proportional transaction costs, we adopt the Kabanov's multi-asset…

Portfolio Management · Quantitative Finance 2016-07-26 Xiang Yu

We consider the life-cycle optimal portfolio choice problem faced by an agent receiving labor income and allocating her wealth to risky assets and a riskless bond subject to a borrowing constraint. In this paper, to reflect a realistic…

Optimization and Control · Mathematics 2020-09-10 Boualem Djehiche , Fausto Gozzi , Giovanni Zanco , Margherita Zanella

We analyze the problem of optimal reduction of the debt-to-GDP ratio in a stochastic control setting. The debt-to-GDP dynamics are modeled through a stochastic differential equation in which fiscal policy simultaneously affects both debt…

General Economics · Economics 2025-12-18 Claudia Ceci , Luca Semerari

This paper studies the properties of the optimal portfolio-consumption strategies in a {finite horizon} robust utility maximization framework with different borrowing and lending rates. In particular, we allow for constraints on both…

Portfolio Management · Quantitative Finance 2018-12-06 Zhou Yang , Gechun Liang , Chao Zhou

We propose a data-driven portfolio selection model that integrates side information, conditional estimation and robustness using the framework of distributionally robust optimization. Conditioning on the observed side information, the…

Portfolio Management · Quantitative Finance 2024-04-10 Viet Anh Nguyen , Fan Zhang , Shanshan Wang , Jose Blanchet , Erick Delage , Yinyu Ye

We study the problem of active portfolio management where an investor aims to outperform a benchmark strategy's risk profile while not deviating too far from it. Specifically, an investor considers alternative strategies whose terminal…

Mathematical Finance · Quantitative Finance 2022-06-22 Silvana Pesenti , Sebastian Jaimungal

This paper proposes and studies an optimal dividend problem in which a two-state regime-switching environment affects the dynamics of the company's cash surplus and, as a novel feature, also the bankruptcy level. The aim is to maximize the…

Optimization and Control · Mathematics 2022-06-10 Giorgio Ferrari , Patrick Schuhmann , Shihao Zhu

We consider the problem of optimal investment and consumption in a class of multidimensional jump-diffusion models in which asset prices are subject to mutually exciting jump processes. This captures a type of contagion where each downward…

Portfolio Management · Quantitative Finance 2012-10-08 Yacine Aït-Sahalia , T. R. Hurd

This paper studies the equity holders' mean-variance optimal portfolio choice problem for (non-)protected participating life insurance contracts. We derive explicit formulas for the optimal terminal wealth and the optimal strategy in the…

Mathematical Finance · Quantitative Finance 2025-03-26 Felix Fießinger , Mitja Stadje

We consider an infinite horizon portfolio problem with borrowing constraints, in which an agent receives labor income which adjusts to financial market shocks in a path dependent way. This path-dependency is the novelty of the model, and…

Optimization and Control · Mathematics 2020-02-04 Enrico Biffis , Fausto Gozzi , Cecilia Prosdocimi

We study the problem of dynamically trading multiple futures whose underlying asset price follows a multiscale central tendency Ornstein-Uhlenbeck (MCTOU) model. Under this model, we derive the closed-form no-arbitrage prices for the…

Mathematical Finance · Quantitative Finance 2021-02-26 Tim Leung , Yang Zhou

In this paper, we undertake an investigation into the utility maximization problem faced by an economic agent who possesses the option to switch jobs, within a scenario featuring the presence of a mandatory retirement date. The agent needs…

Optimization and Control · Mathematics 2023-09-25 Zhou Yang , Junkee Jeon

We study financial networks where banks are connected through bilateral liabilities and may default when resources are insufficient to meet obligations. We consider both the standard proportional clearing model and a priority-proportional…

Computer Science and Game Theory · Computer Science 2026-03-31 Gergely Csáji , Rareş-Ioan Mateiu , Alexandru Popa , Ildikó Schlotter

We demonstrate the application of an algorithmic trading strategy based upon the recently developed dynamic mode decomposition (DMD) on portfolios of financial data. The method is capable of characterizing complex dynamical systems, in this…

Computational Finance · Quantitative Finance 2015-08-20 Jordan Mann , J. Nathan Kutz

We consider an incomplete market with a nontradable stochastic factor and a continuous time investment problem with an optimality criterion based on monotone mean-variance preferences. We formulate it as a stochastic differential game…

Portfolio Management · Quantitative Finance 2023-04-25 Jakub Trybuła , Dariusz Zawisza

This paper studies the problem of optimal investment in incomplete markets, robust with respect to stopping times. We work on a Brownian motion framework and the stopping times are adapted to the Brownian filtration. Robustness can only be…

Probability · Mathematics 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

In this paper, we employ the Heston stochastic volatility model to describe the stock's volatility and apply the model to derive and analyze the optimal trading strategies for dealers in a security market. We also extend our study to option…

Trading and Market Microstructure · Quantitative Finance 2016-02-02 Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu , Qing-Qing Yang

We present a method for constructing the log-optimal portfolio using the well-calibrated forecasts of market values. Dawid's notion of calibration and the Blackwell approachability theorem are used for computing well-calibrated forecasts.…

Artificial Intelligence · Computer Science 2015-06-30 Vladimir V'yugin

We study the optimal liquidation problem in a market model where the bid price follows a geometric pure jump process whose local characteristics are driven by an unobservable finite-state Markov chain and by the liquidation rate. This model…

Mathematical Finance · Quantitative Finance 2019-06-27 Katia Colaneri , Zehra Eksi , Rüdiger Frey , Michaela Szölgyenyi

We investigate optimal consumption and investment problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall. We formulate various utility maximization problems, which can be solved explicitly. We…

Portfolio Management · Quantitative Finance 2010-02-15 Claudia Kluppelberg , Serguei Pergamenchtchikov
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