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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 address a long-standing open problem in risk theory, namely the optimal strategy to pay out dividends from an insurance surplus process, if the dividend rate can never be decreased. The optimality criterion here is to maximize the…

投资组合管理 · 定量金融 2021-06-08 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

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

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

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

We find the asymptotics of the value function maximizing the expected utility of discounted dividend payments of an insurance company whose reserves are modeled as a classical Cram\'er risk process, with exponentially distributed claims,…

最优化与控制 · 数学 2023-03-22 Sebastian Baran , Corina Constantinescu , Zbigniew Palmowski

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

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 consider the optimal dividend problem in the so-called degenerate bivariate risk model under the assumption that the surplus of one branch may become negative. More specific, we solve the stochastic control problem of maximizing…

概率论 · 数学 2022-08-02 Philipp Lukas Strietzel , Henriette Elisabeth Heinrich

We consider an optimal dividend payout problem for an insurance company whose surplus follows the classical Cram\'er-Lundberg model. The dividend rate is subject to a ratcheting constraint (i.e., it must be nondecreasing over time), and the…

最优化与控制 · 数学 2026-04-07 Chonghu Guan , Zuo Quan Xu

In this article we consider the surplus process of an insurance company within the Cramer-Lundberg framework. We study the optimal reinsurance strategy and dividend distribution of an insurance company under proportional reinsurance, in…

最优化与控制 · 数学 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

In this paper, we study an optimal dividend and capital-injection problem in a Cram\'er--Lundberg model where claim arrivals follow a Hawkes process, capturing clustering effects often observed in insurance portfolios. We establish key…

最优化与控制 · 数学 2025-11-27 Paulin Aubert , Etienne Chevalier , Vathana Ly Vath

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

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 the problem of optimal investment by an insurer. The insurer invests in a market consisting of a bank account and $m$ risky assets. The mean returns and volatilities of the risky assets depend nonlinearly on…

投资组合管理 · 定量金融 2019-03-22 Hiroaki Hata , Shuenn-Jyi Sheu , Li-Hsien Sun

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

In this paper we study the problem of optimally paying out dividends from an insurance portfolio, when the criterion is to maximize the expected discounted dividends over the lifetime of the company and the portfolio contains claims due to…

投资组合管理 · 定量金融 2023-11-13 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

This paper studies a dynamic optimal reinsurance and dividend-payout problem for an insurance company in a finite time horizon. The goal of the company is to maximize the expected cumulative discounted dividend payouts until bankruptcy or…

数理金融 · 定量金融 2022-06-28 Chonghu Guan , Zuo Quan Xu , Rui Zhou

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 the dual risk model, dual to the risk model for insurance applications, where premiums are surplus-dependent. In such a model premiums are regarded as costs, while claims refer to profits. We calculate the mean of the…

证券定价 · 定量金融 2016-05-17 Ewa Marciniak , Zbigniew Palmowski
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