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We consider a discrete-time dividend payout problem with risk sensitive shareholders. It is assumed that they are equipped with a risk aversion coefficient and construct their discounted payoff with the help of the exponential premium…

概率论 · 数学 2017-03-08 Nicole Bäuerle , Anna Jaśkiewicz

We consider the multi-refraction strategies in two equivalent versions of the optimal dividend problem in the dual (spectrally positive L\'evy) model. The first problem is a variant of the bail-out case where both dividend payments and…

概率论 · 数学 2018-03-19 Irmina Czarna , José Luis Pérez , Kazutoshi Yamazaki

We study the optimal bailout dividend problem with transaction costs for an insurance company, where shareholder payouts align with the arrival times of an independent Poisson process. In this scenario, the underlying risk model follows a…

最优化与控制 · 数学 2024-03-26 Harold A. Moreno-Franco , Jose-Luis Pérez

We design an optimal strategy for investment in a portfolio of assets subject to a multiplicative Brownian motion. The strategy provides the maximal typical long-term growth rate of investor's capital. We determine the optimal fraction of…

统计力学 · 物理学 2008-12-02 Sergei Maslov , Yi-Cheng Zhang

We consider the optimal dividend problem for the insurance risk process in a general Levy process setting. The objective is to find a strategy which maximizes the expected total discounted dividends until the time of ruin. We give…

概率论 · 数学 2011-01-04 Kam Chuen Yuen , Chuancun Yin

We consider a modification of the dividend maximization problem from ruin theory. Based on a classical risk process we maximize the difference of expected cumulated discounted dividends and total expected discounted additional funding…

投资组合管理 · 定量金融 2019-01-21 Josef Anton Strini , Stefan Thonhauser

We consider a version of de Finetti's dividend problem, with the bail-out contraint to keep the surplus non-negative, and where dividend payments can only be made at the arrival times of an independent Poisson process. For a general L\'evy…

概率论 · 数学 2025-05-13 Dante Mata , Kei Noba , José-Luis Pérez

In this paper, we consider the mixed ratcheting-periodic dividend strategies for spectrally negative L\'{e}vy risk model, in which dividend payments can both be made continuously without falling and discretely at the jump times of an…

概率论 · 数学 2021-12-03 Fuyun Sun , Zhanjie Song

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…

风险管理 · 定量金融 2010-12-22 Zongxia Liang , Jicheng Yao

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…

最优化与控制 · 数学 2025-12-18 Lingjia Zeng , Manman Li

In this paper, we study de Finetti's optimal dividend problem with capital injection under the assumption that the dividend strategies are absolutely continuous. In many previous studies, the process before being controlled was assumed to…

概率论 · 数学 2022-11-03 Kei Noba

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

We re-visit the classical problem of optimal payment of dividends and determine the degree to which the diffusion approximation serves as a valid approximation of the classical risk model for this problem. Our results parallel some of those…

最优化与控制 · 数学 2020-10-26 Asaf Cohen , Virginia R. Young

In this paper, we consider the optimal dividends problem for a company whose cash reserves follow a general Levy process with certain positive jumps and arbitrary negative jumps. The objective is to find a policy which maximizes the…

概率论 · 数学 2014-03-27 Chuancun Yin , Kam Chuen Yuen , Ying Shen

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 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…

最优化与控制 · 数学 2015-05-18 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

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 considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study…

最优化与控制 · 数学 2016-08-02 Runhuan Feng , Hans Volkmer , Shuaiqi Zhang , Chao Zhu

This paper considers an insurer with two collaborating business lines that must make three critical decisions: (1) dividend payout, (2) a combination of proportional and excess-of-loss reinsurance coverage, and (3) capital injection between…

最优化与控制 · 数学 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

In this paper we propose a new model for pricing stock and dividend derivatives. We jointly specify dynamics for the stock price and the dividend rate such that the stock price is positive and the dividend rate non-negative. In its simplest…

数理金融 · 定量金融 2019-08-27 Sander Willems