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相关论文: On optimal periodic dividend strategies for L\'evy…

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This paper studies a class of optimal multiple stopping problems driven by L\'evy processes. Our model allows for a negative effective discount rate, which arises in a number of financial applications, including stock loans and real…

数理金融 · 定量金融 2016-03-11 Tim Leung , Kazutoshi Yamazaki , Hongzhong Zhang

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

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

In this paper we study the problem of optimal dividend payment strategy which maximizes the expected discounted sum of dividends to a multidimensional set up of n associated insurance companies where the surplus process follows an…

最优化与控制 · 数学 2018-10-04 Pablo Azcue , Nora Muler

In this paper, we model the cash surplus (or equity) of a risky business with a Brownian motion. Owners can take cash out of the surplus in the form of "dividends", subject to transaction costs. However, if the surplus hits 0 then ruin…

风险管理 · 定量金融 2021-08-19 Benjamin Avanzi , Hayden Lau , Bernard Wong

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 de Finetti's optimal dividends problem with absolutely continuous strategies in a spectrally negative L\'evy model with Parisian ruin as the termination time. The problem considered is essentially a generalization of both the…

概率论 · 数学 2024-07-30 Félix Locas , Jean-François Renaud

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

We study the problem of optimal dividend payout from a surplus process governed by Brownian motion with drift under the additional constraint of ratcheting, i.e. the dividend rate can never decrease. We solve the resulting two-dimensional…

概率论 · 数学 2020-12-22 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

In this paper we continue investigating the optimal dividend and investment problems under the Sparre Andersen model. More precisely, we assume that the claim frequency is a renewal process instead of a standard compound Poisson process,…

概率论 · 数学 2019-09-02 Lihua Bai , Jin Ma

In this paper, we consider the optimal dividend problem of the renewal risk model with phase-type distributed interclaim times and exponentially distributed claim sizes. Assume that the phases of the interclaim times can be observed. We…

最优化与控制 · 数学 2020-11-19 Linlin Tian , Zhaoyang Liu

This paper concerns an optimal dividend distribution problem for an insurance company whose risk process evolves as a spectrally negative L\'{e}vy process (in the absence of dividend payments). The management of the company is assumed to…

概率论 · 数学 2015-06-22 F. Avram , Z. Palmowski , M. R. Pistorius

We consider a version of the stochastic inventory control problem for a spectrally positive L\'evy demand process, in which the inventory can only be replenished at independent exponential times. We show the optimality of a periodic barrier…

最优化与控制 · 数学 2020-09-16 José-Luis Pérez , Kazutoshi Yamazaki , Alain Bensoussan

We consider a singular control problem that aims to maximize the expected cumulative rewards, where the instantaneous returns depend on the state of a controlled process. The contributions of this paper are twofold. Firstly, to establish…

最优化与控制 · 数学 2025-06-23 Mauricio Junca , Harold Moreno-Franco , Jose Luis Perez

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 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

The first motivation of our paper is to explore further the idea that, in risk control problems, it may be profitable to base decisions both on the position of the underlying process Xt and on its supremum Xt := sup 0$\le$s$\le$t Xs.…

最优化与控制 · 数学 2019-11-15 Florin Avram , Dan Goreac

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

We consider a company that receives capital injections so as to avoid ruin. Differently from the classical bail-out settings where the underlying process is restricted to stay at or above zero, we study the case bail-out can only be made at…

概率论 · 数学 2017-05-12 Florin Avram , José Luis Pérez , Kazutoshi Yamazaki

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