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In this note we study the optimal dividend problem for a company whose surplus process, in the absence of dividend payments, evolves as a generalized compound Poisson model in which the counting process is a generalized Poisson process.…

证券定价 · 定量金融 2014-02-26 Chuancun Yin

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…

数理金融 · 定量金融 2020-02-10 Kei Noba , José-Luis Pérez , Xiang Yu

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

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

The aim of this article is to propose a core game theory model of transaction costs wherein it is indicated how direct costs determine the probability of loss and subsequent transaction costs. The existence of optimum is proven, and the way…

理论经济学 · 经济学 2020-08-25 László Kállay , Tibor Takács , László Trautmann

In this paper we consider a company whose assets and liabilities evolve according to a correlated bivariate geometric Brownian motion, such as in Gerber and Shiu (2003). We determine what dividend strategy maximises the expected present…

最优化与控制 · 数学 2022-10-18 Benjamin Avanzi , Ping Chen , Lars Frederik Brandt Henriksen , Bernard Wong

Dual risk models are popular for modeling a venture capital or high tech company, for which the running cost is deterministic and the profits arrive stochastically over time. Most of the existing literature on dual risk models concentrated…

风险管理 · 定量金融 2023-02-14 Arash Fahim , Lingjiong Zhu

We study a De Finetti's optimal dividend and capital injection problem under a Markov additive model. The surplus process without dividend and capital injection is assumed to follow a spectrally positive Markov additive process (MAP).…

最优化与控制 · 数学 2025-01-28 Lijun Bo , Wenyuan Wang , Kaixin Yan

We consider the classical optimal dividends problem under the Cram\'er-Lundberg model with exponential claim sizes subject to a constraint on the time of ruin. We introduce the dual problem and show that the complementary slackness…

最优化与控制 · 数学 2015-12-08 Camilo Hernandez , Mauricio Junca

In this paper, we investigate the problem of optimal strategies of dividend and reinsurance under the Cram\'{e}r-Lundberg risk model embedded with the thinning-dependence structure which was firstly introduced by Wang and Yuen (2005),…

最优化与控制 · 数学 2020-07-02 Mi Chen , Kam Chuen Yuen , Wenyuan Wang

This paper concerns an optimal dividend distribution problem for an insurance company with surplus-dependent premium. In the absence of dividend payments, such a risk process is a particular case of so-called piecewise deterministic Markov…

投资组合管理 · 定量金融 2016-04-26 Ewa Marciniak , Zbigniew Palmowski

We consider an optimal investment problem to maximize expected utility of the terminal wealth, in an illiquid market with search frictions and transaction costs. In the market model, an investor's attempt of transaction is successful only…

数理金融 · 定量金融 2021-08-18 Jin Hyuk Choi , Tae Ung Gang

We reconsider the study of optimal dividend strategies in the Cram\'er-Lundberg risk model. It is well-known that the solution of the classical dividend problem is in general a band strategy. However, the numerical techniques for the…

最优化与控制 · 数学 2022-07-05 Hansjörg Albrecher , Brandon García Flores

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

投资组合管理 · 定量金融 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

This paper develops numerical methods for finding optimal dividend pay-out and reinsurance policies. A generalized singular control formulation of surplus and discounted payoff function are introduced, where the surplus is modeled by a…

计算金融 · 定量金融 2011-11-11 Zhuo Jin , George Yin , Chao Zhu

We consider the multi-period portfolio optimization problem with a single asset that can be held long or short. Due to the presence of transaction costs, maximizing the immediate reward at each period may prove detrimental, as frequent…

最优化与控制 · 数学 2025-02-07 Chutian Ma , Paul Smith

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

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 controlling the paths of a spectrally negative L\'evy process by two means: the subtraction of `taxes' when the process is at an all-time maximum, and the addition of `bailouts' which keep the value of the process above zero. We…

概率论 · 数学 2026-01-28 Dalal Al Ghanim , Ronnie Loeffen , Alexander R. Watson

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