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We investigate the problem of optimal dividend distribution for a company in the presence of regime shifts. We consider a company whose cumulative net revenues evolve as a Brownian motion with positive drift that is modulated by a finite…

General Finance · Quantitative Finance 2011-04-20 Zhengjun Jiang , Martijn Pistorius

In this paper, we consider the optimal dividend problem for a company. We describe the surplus process of the company by a diffusion model with regime switching. The aim of the company is to choose a dividend policy to maximize the expected…

Mathematical Finance · Quantitative Finance 2014-07-01 Xiaoxiao Zheng , Xin Zhang

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

This study considers an optimal reinsurance, investment, and dividend strategy control problem for insurance companies in a regulated Markov regime-switching environment, intending to maximize long-run average reward. Unlike existing single…

Optimization and Control · Mathematics 2025-12-18 Lingjia Zeng , Manman Li

We study a singular stochastic control problem faced by the owner of an insurance company that dynamically pays dividends and raises capital in the presence of the restriction that the surplus process must be above a given dividend payout…

Optimization and Control · Mathematics 2019-02-19 Kristoffer Lindensjö , Filip Lindskog

This paper considers an optimal control of a big financial company with debt liability under bankrupt probability constraints. The company, which faces constant liability payments and has choices to choose various production/business…

Risk Management · Quantitative Finance 2010-08-11 Zongxia Liang , Bin Sun

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

This paper considers nonlinear regular-singular stochastic optimal control of large insurance company. The company controls the reinsurance rate and dividend payout process to maximize the expected present value of the dividend pay-outs…

Risk Management · Quantitative Finance 2010-08-31 Zongxia Liang , Jicheng Yao

This paper studies a general L\'evy process model of the bail-out optimal dividend problem with an exponential time horizon, and further extends it to the regime-switching model. We first show the optimality of a double barrier strategy in…

Probability · Mathematics 2024-10-28 Dante Mata López , Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki

This paper studies De Finetti's optimal dividend problem with capital injection under spectrally positive Markov additive models. Based on dynamic programming principle, we first study an auxiliary singular control problem with a final…

Optimization and Control · Mathematics 2023-07-11 Wenyuan Wang , Kaixin Yan , Xiang Yu

We study an optimal dividend problem under a bankruptcy constraint. Firms face a trade-off between potential bankruptcy and extraction of profits. In contrast to previous works, general cash flow drifts, including Ornstein--Uhlenbeck and…

Optimization and Control · Mathematics 2018-03-05 Max Reppen , Jean-Charles Rochet , H. Mete Soner

Adopting a probabilistic approach we determine the optimal dividend payout policy of a firm whose surplus process follows a controlled arithmetic Brownian motion and whose cash-flows are discounted at a stochastic dynamic rate. Dividends…

Optimization and Control · Mathematics 2021-06-22 Elena Bandini , Tiziano De Angelis , Giorgio Ferrari , Fausto Gozzi

We study the problem of optimal dividend payout from a surplus process governed by Brownian motion with drift under the additional constraint of ratcheting, i.e. the dividend rate can never decrease. We solve the resulting two-dimensional…

Probability · Mathematics 2020-12-22 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

In this paper we consider the De Finetti's optimal dividend and capital injection problem under a Markov additive model. We assume that the surplus process before dividends and capital injections follows a spectrally positive Markov…

Optimization and Control · Mathematics 2022-10-28 Lijun Bo , Wenyuan Wang , Kaixin Yan

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

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 paper studies the bailout optimal dividend problem with regime switching under the constraint that dividend payments can be made only at the arrival times of an independent Poisson process while capital can be injected continuously in…

Probability · Mathematics 2022-07-05 Dante Mata , Harold A. Moreno-Franco , Kei Noba , José-Luis Pérez

In this paper, we model the cash surplus (or equity) of a risky business with a Brownian motion. Owners can take cash out of the surplus in the form of "dividends", subject to transaction costs. However, if the surplus hits 0 then ruin…

Risk Management · Quantitative Finance 2021-08-19 Benjamin Avanzi , Hayden Lau , Bernard Wong

We consider an optimal stochastic control problem in which a firm's cash/surplus process is controlled by dividend payments and capital injections. Stockholders aim to maximize their dividend stream minus the cost of injecting capital, if…

Optimization and Control · Mathematics 2023-11-20 Jean-François Renaud , Alexandre Roch , Clarence Simard
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