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We study a problem of optimal investment/consumption over an infinite horizon in a market consisting of a liquid and an illiquid asset. The liquid asset is observed and can be traded continuously, while the illiquid one can only be traded…

Portfolio Management · Quantitative Finance 2012-11-07 Salvatore Federico , Paul Gassiat

We consider a two-dimensional optimal dividend problem in the context of two branches of an insurance company with compound Poisson surplus processes dividing claims and premia in some specified proportions. We solve the stochastic control…

Optimization and Control · Mathematics 2018-04-12 Pablo Azcue , Nora Muler , Zbigniew Palmowski

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

We consider the Merton problem of optimizing expected power utility of terminal wealth in the case of an unobservable Markov-modulated drift. What makes the model special is that the agent is allowed to purchase costly expert opinions of…

Portfolio Management · Quantitative Finance 2024-09-19 Christoph Knochenhauer , Alexander Merkel , Yufei Zhang

In this paper we study the valuation problem of an insurance company by maximizing the expected discounted future dividend payments in a model with partial information that allows for a changing economic environment. The surplus process is…

Mathematical Finance · Quantitative Finance 2016-08-03 Michaela Szölgyenyi

In this paper we address the problem of optimal dividend payout strategies from a surplus process governed by Brownian motion with drift under a drawdown constraint, i.e. the dividend rate can never decrease below a given fraction $a$ of…

Optimization and Control · Mathematics 2022-06-27 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

We consider an optimal dividend payout problem for an insurance company whose surplus follows the classical Cram\'er-Lundberg model. The dividend rate is subject to a ratcheting constraint (i.e., it must be nondecreasing over time), and the…

Optimization and Control · Mathematics 2026-04-07 Chonghu Guan , Zuo Quan Xu

This paper studies an optimal dividend problem with a drawdown constraint in a Brownian motion model, requiring the dividend payout rate to remain above a fixed proportion of its historical maximum. This leads to a path-dependent stochastic…

Mathematical Finance · Quantitative Finance 2026-01-08 Chonghu Guan , Jiacheng Fan , Zuo Quan Xu

We study the optimal investment stopping problem in both continuous and discrete case, where the investor needs to choose the optimal trading strategy and optimal stopping time concurrently to maximize the expected utility of terminal…

Mathematical Finance · Quantitative Finance 2020-05-01 Dingqian Sun

We consider the problem of maximizing the discounted utility of dividend payments of an insurance company whose reserves are modeled as a classical Cram\'er-Lundberg risk process. We investigate this optimization problem under the…

Computational Finance · Quantitative Finance 2017-05-08 Zbigniew Palmowski , Sebastian Baran

We address the problem of making a managerial decision when the investment project is subsidized, which results in the resolution of an infinite-horizon optimal stopping problem of a switching diffusion driven by either an homogeneous or an…

Probability · Mathematics 2018-02-28 Carlos Oliveira , Nicolas Perkowski

We consider a diffusive model for optimally distributing dividends, while allowing for Knightian model ambiguity concerning the drift of the surplus process. We show that the value function is the unique solution of a non-linear…

Optimization and Control · Mathematics 2021-09-21 Prakash Chakraborty , Asaf Cohen , Virginia R. Young

We consider a two-dimensional optimal dividend problem in the context of two insurance companies with compound Poisson surplus processes, who collaborate by paying each other's deficit when possible. We solve the stochastic control problem…

Optimization and Control · Mathematics 2015-05-18 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

We determine the optimal robust investment strategy of an individual who targets at a given rate of consumption and seeks to minimize the probability of lifetime ruin when she does not have perfect confidence in the drift of the risky…

Optimization and Control · Mathematics 2014-11-04 Erhan Bayraktar , Yuchong Zhang

The paper considers the optimal control problem of inventory of a discrete product in regeneration scheme with a Poisson flow of customer requirements. In the system deferred demand is allowed, the volume of which is limited by a given…

Optimization and Control · Mathematics 2020-01-31 P. V. Shnurkov , N. A. Vakhtanov

This paper examines a Markovian model for the optimal irreversible investment problem of a firm aiming at minimizing total expected costs of production. We model market uncertainty and the cost of investment per unit of production capacity…

Probability · Mathematics 2017-01-10 Tiziano De Angelis , Salvatore Federico , Giorgio Ferrari

This paper considers an insurance company that faces two key constraints: a ratcheting dividend constraint and an irreversible reinsurance constraint. The company allocates part of its reserve to pay dividends to its shareholders while…

Optimization and Control · Mathematics 2025-12-22 Tim J. Boonen , Engel John C. Dela Vega

We study the problem of optimal risk policies and dividend strategies for an insurance company operating under the constraint that the timing of shareholder payouts is governed by the arrival times of a Poisson process. Concurrently, risk…

Optimization and Control · Mathematics 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco

We study the optimal financing and dividend distribution problem with restricted dividend rates in a diffusion type surplus model where the drift and volatility coefficients are general functions of the level of surplus and the external…

Optimization and Control · Mathematics 2015-06-30 Jinxia Zhu , Hailiang Yang

We model the stock price dynamics through a semi-Markov process obtained using a Poisson random measure. We establish the existence and uniqueness of the classical solution of a non-homogeneous terminal value problem and we show that the…

Mathematical Finance · Quantitative Finance 2022-09-13 Garima Agrawal , Anindya Goswami