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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…

数理金融 · 定量金融 2014-07-01 Xiaoxiao Zheng , Xin Zhang

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…

计算金融 · 定量金融 2017-05-08 Zbigniew Palmowski , Sebastian Baran

Avanzi et al. (2016) recently studied an optimal dividend problem where dividends are paid both periodically and continuously with different transaction costs. In the Brownian model with Poissonian periodic dividend payment opportunities,…

最优化与控制 · 数学 2018-01-16 José-Luis Pérez , Kazutoshi Yamazaki

In this paper, we examine a modified version of de Finetti's optimal dividend problem, incorporating fixed transaction costs and altering the surplus process by introducing two-valued drift and two-valued volatility coefficients. This…

数理金融 · 定量金融 2025-12-05 Wenyuan Wang , Zuo Quan Xu , Kazutoshi Yamazaki , Kaixin Yan , Xiaowen Zhou

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

数理金融 · 定量金融 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

We revisit the dividend payment problem in the dual model of Avanzi et al. ([2], [1], and [3]). Using the fluctuation theory of spectrally positive L\'{e}vy processes, we give a short exposition in which we show the optimality of barrier…

概率论 · 数学 2023-06-22 Erhan Bayraktar , Andreas Kyprianou , Kazutoshi Yamazaki

We consider the general class of spectrally positive L\'evy risk processes, which are appropriate for businesses with continuous expenses and lump sum gains whose timing and sizes are stochastic. Motivated by the fact that dividends cannot…

最优化与控制 · 数学 2020-09-10 Benjamin Avanzi , Hayden Lau , Bernard Wong

The optimization criterion for dividends from a risky business is most often formalized in terms of the expected present value of future dividends. That criterion disregards a potential, explicit demand for stability of dividends. In…

最优化与控制 · 数学 2023-06-22 Benjamin Avanzi , Debbie Kusch Falden , Mogens Steffensen

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

This paper concerns an optimal impulse control problem associated with a refracted L\'{e}vy process, involving the reduction of reserves to a predetermined level whenever they exceed a specified threshold. The ruin time is determined by…

最优化与控制 · 数学 2026-01-29 Zhongqin Gao , Yan Lv , Jingmin He

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…

最优化与控制 · 数学 2025-12-22 Tim J. Boonen , Engel John C. Dela Vega

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…

最优化与控制 · 数学 2021-09-21 Prakash Chakraborty , Asaf Cohen , Virginia R. Young

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

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

In this paper we propose and solve an optimal dividend problem with capital injections over a finite time horizon. The surplus dynamics obeys a linearly controlled drifted Brownian motion that is reflected at the origin, dividends give rise…

数理金融 · 定量金融 2019-05-22 Giorgio Ferrari , Patrick Schuhmann

In this paper, we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model. Investment in the foreign market is allowed, and therefore, the foreign…

投资组合管理 · 定量金融 2020-06-05 Qianqian Zhou , Junyi Guo

We consider the bail-out optimal dividend problem under fixed transaction costs for a L\'evy risk model. Furthermore, we consider the version with a constraint expected net present value of injected capital. To characterize the solution to…

概率论 · 数学 2018-09-19 Mauricio Junca , Harold Moreno-Franco , José Luis Pérez

We consider a diffusion risk model where dividends are paid at rate $U(t) \in [0, u_0]$. We are interested in maximising the dividend payments under a drawdown constraint, that is, we penalise a drawdown size larger than a level $d > 0$. We…

最优化与控制 · 数学 2025-11-06 Kira Dudziak , Hanspeter Schmidli

In this paper, we revisit the optimal periodic dividend problem, in which dividend payments can only be made at the jump times of an independent Poisson process. In the dual (spectrally positive L\'evy) model, recent results have shown the…

最优化与控制 · 数学 2018-02-27 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

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…

最优化与控制 · 数学 2018-03-05 Max Reppen , Jean-Charles Rochet , H. Mete Soner