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In this paper, we consider the problem of maximizing the expected discounted utility of dividend payments for an insurance company that controls risk exposure by purchasing proportional reinsurance. We assume the preference of the insurer…

投资组合管理 · 定量金融 2017-05-08 Xiaoqing Liang , Zbigniew Palmowski

The aim of this paper is to introduce an insurance model allowing reinsurance and dividend payment. Our model deals with several homogeneous contracts and takes into account the legislation regarding the provisions to be justified by the…

证券定价 · 定量金融 2008-12-10 D. Goreac

This paper is concerned with a long standing optimal dividend payout problem subject to the so-called ratcheting constraint, that is, the dividend payout rate shall be non-decreasing over time and is thus self-path-dependent. The surplus…

数理金融 · 定量金融 2024-07-08 Chonghu Guan , Zuo Quan Xu

We consider the optimal dividend problem under a habit formation constraint that prevents the dividend rate to fall below a certain proportion of its historical maximum, the so-called drawdown constraint. This is an extension of the optimal…

数理金融 · 定量金融 2019-03-25 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

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…

最优化与控制 · 数学 2022-06-10 Giorgio Ferrari , Patrick Schuhmann , Shihao Zhu

This paper studies an approximation method for the log-likelihood function of a nonlinear diffusion process using the bridge of the diffusion. The main result (Theorem \refthm:approx) shows that this approximation converges uniformly to the…

统计理论 · 数学 2010-01-11 Aleksandar Mijatović , Paul Schneider

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…

最优化与控制 · 数学 2022-06-27 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

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…

综合金融 · 定量金融 2011-04-20 Zhengjun Jiang , Martijn Pistorius

In this paper we continue investigating the optimal dividend and investment problems under the Sparre Andersen model. More precisely, we assume that the claim frequency is a renewal process instead of a standard compound Poisson process,…

概率论 · 数学 2019-09-02 Lihua Bai , Jin Ma

We consider de Finetti's problem for spectrally one-sided L\'evy risk models with control strategies that are absolutely continuous with respect to the Lebesgue measure. Furthermore, we consider the version with a constraint on the time of…

最优化与控制 · 数学 2026-01-14 Mauricio Junca , Harold Moreno-Franco , José-Luis Pérez , Kazutoshi Yamazaki

We solve the pricing problem for perpetual American puts and calls on dividend-paying assets. The dependence of a dividend process on the underlying stochastic factor is fairly general: any non-decreasing function is admissible. The…

其他凝聚态物理 · 物理学 2008-12-02 Svetlana Boyarchenko , Sergei Levendorskii

In this paper, we study the optimal control problem for a company whose surplus process evolves as an upward jump diffusion with random return on investment. Three types of practical optimization problems faced by a company that can control…

投资组合管理 · 定量金融 2016-11-04 Chuancun Yin , Kam Chuen Yuen

We consider a new type of optimal stopping problems where the absorbing boundary moves as the state process X attains new maxima S. More specifically, we set the absorbing boundary as S-b where b is a certain constant. This problem is…

概率论 · 数学 2015-04-15 Masahiko Egami , Tadao Oryu

Default risk significantly affects the corporate policies of a firm. We develop a model in which a limited liability entity subject to Poisson default shock jointly sets its dividend policy and capital structure to maximize the expected…

数理金融 · 定量金融 2018-10-09 Alex S. L. Tse

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…

最优化与控制 · 数学 2023-11-20 Jean-François Renaud , Alexandre Roch , Clarence Simard

We develop a class of non-life reserving models using a stable-1/2 random bridge to simulate the accumulation of paid claims, allowing for an essentially arbitrary choice of a priori distribution for the ultimate loss. Taking an…

综合金融 · 定量金融 2015-03-17 Edward Hoyle , Lane P. Hughston , Andrea Macrina

We give a review of the state of the art with regard to the dividend problem.

概率论 · 数学 2016-03-21 Zbigniew Palmowski

We consider the dividend maximization problem including a ruin penalty in a diffusion environment. The additional penalty term is motivated by a constraint on dividend strategies. Intentionally, we use different discount rates for the…

最优化与控制 · 数学 2022-04-20 Josef Anton Strini , Stefan Thonhauser

Given a spectrally negative L\'evy process and independent Poisson observation times, we consider a periodic barrier strategy that pushes the process down to a certain level whenever it is above it. We also consider the versions with…

概率论 · 数学 2018-01-11 José-Luis Pérez , Kazutoshi Yamazaki

We analyze the regularity of the optimal exercise boundary for the American Put option when the underlying asset pays a discrete dividend at a known time $t_d$ during the lifetime of the option. The ex-dividend asset price process is…

计算金融 · 定量金融 2010-07-28 Benjamin Jourdain , Michel Vellekoop