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相关论文: Optimal dividends in the dual model under transact…

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We consider an insurance entity endowed with an initial capital and a surplus process modelled as a Brownian motion with drift. It is assumed that the company seeks to maximise the cumulated value of expected discounted dividends, which are…

数理金融 · 定量金融 2016-03-25 Julia Eisenberg , Paul Krühner

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

The dual risk model is a popular model in finance and insurance, which is often used to model the wealth process of a venture capital or high tech company. Optimal dividends have been extensively studied in the literature for a dual risk…

风险管理 · 定量金融 2022-12-08 Arash Fahim , Lingjiong Zhu

Optimal dividend strategy in dual risk model is well studied in the literatures. But to the best of our knowledge, all the previous works assumes deterministic interest rate. In this paper, we study the optimal dividends strategy in dual…

数理金融 · 定量金融 2017-05-24 Zailei Cheng

In Bai and Paulsen (SIAM J. Control optim. 48, 2010) the optimal dividend problem under transaction costs was analyzed for a rather general class of diffusion processes. It was divided into several subclasses, and for the majority of…

最优化与控制 · 数学 2012-03-26 Lihua Bai , Jostein Paulsen

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 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

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…

最优化与控制 · 数学 2021-06-22 Elena Bandini , Tiziano De Angelis , Giorgio Ferrari , Fausto Gozzi

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…

概率论 · 数学 2024-10-28 Dante Mata López , Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki

For an insurance company with reserve modeled by the spectrally negative L\'{e}vy process, we study the optimal impulse dividend maximizing the expected accumulated net dividend payment subtracted by the accumulated cost of injecting…

最优化与控制 · 数学 2020-04-14 Wenyuan Wang , Yuebao Wang , Xueyuan Wu

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 consider an insurance company modelling its surplus process by a Brownian motion with drift. Our target is to maximise the expected exponential utility of discounted dividend payments, given that the dividend rates are bounded by some…

风险管理 · 定量金融 2019-01-23 Julia Eisenberg , Paul Krühner

We study the dual model with capital injection under the additional condition that the dividend strategy is absolutely continuous. We consider a refraction-reflection strategy that pays dividends at the maximal rate whenever the surplus is…

最优化与控制 · 数学 2016-08-24 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 in this paper the optimal dividend problem for an insurance company whose uncontrolled reserve process evolves as a classical Cram\'{e}r--Lundberg process. The firm has the option of investing part of the surplus in a…

投资组合管理 · 定量金融 2010-10-26 Pablo Azcue , Nora Muler

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

We consider the classical optimal dividend control problem which was proposed by de Finetti [Trans. XVth Internat. Congress Actuaries 2 (1957) 433--443]. Recently Avram, Palmowski and Pistorius [Ann. Appl. Probab. 17 (2007) 156--180]…

概率论 · 数学 2008-11-13 R. L. Loeffen

We disucss a statistical estimation problem of an optimal dividend barrier when the surplus process follows a L\'{e}vy insurance risk process. The optimal dividend barrier is defined as the level of the barrier that maximizes the…

统计理论 · 数学 2022-09-14 Yasutaka Shimizu , Hiroshi Shiraishi

We consider a two-dimensional optimal dividend problem in the context of two branches of an insurance company with compound Poisson surplus processes dividing claims and premia in some specified proportions. We solve the stochastic control…

最优化与控制 · 数学 2018-04-12 Pablo Azcue , Nora Muler , Zbigniew Palmowski

Motivated by recent developments in risk management based on the U.S. bankruptcy code, we revisit the De Finetti's optimal dividend problem by incorporating the reorganization process and regulator's intervention documented in Chapter 11…

最优化与控制 · 数学 2023-11-07 Wenyuan Wang , Xiang Yu , Xiaowen Zhou