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In this paper we consider the optimal dividend problem for an insurance company whose risk process evolves as a spectrally negative L\'{e}vy process in the absence of dividend payments. The classical dividend problem for an insurance…

概率论 · 数学 2008-12-10 Florin Avram , Zbigniew Palmowski , Martijn R. Pistorius

We consider the optimal dividend problem for the insurance risk process in a general Levy process setting. The objective is to find a strategy which maximizes the expected total discounted dividends until the time of ruin. We give…

概率论 · 数学 2011-01-04 Kam Chuen Yuen , Chuancun Yin

In this paper we study the optimal dividend problem for a company whose surplus process evolves as a spectrally positive Levy process. This model including the dual model of the classical risk model and the dual model with diffusion as…

投资组合管理 · 定量金融 2014-03-11 Chuancun Yin , Yuzhen Wen , Yongxia Zhao

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

In this paper we consider a modified version of the classical optimal dividends problem of de Finetti in which the dividend payments subject to a penalty at ruin. We assume that the risk process is modeled by a general spectrally positive…

证券定价 · 定量金融 2013-02-26 Chuancun Yin , Yuzhen Wen

This paper considers an optimal dividend distribution problem for an insurance company where the dividends are paid in a foreign currency. In the absence of dividend payments, our risk process follows a spectrally negative L\'evy process.…

数理金融 · 定量金融 2020-01-14 Julia Eisenberg , Zbigniew Palmowski

We study the optimal dividend problem in the dual model where dividend payments can only be made at the jump times of an independent Poisson process. In this context, Avanzi et al. [5] solved the case with i.i.d. hyperexponential jumps;…

概率论 · 数学 2017-08-15 José-Luis Pérez , Kazutoshi Yamazaki

The expected present value of dividends is one of the classical stability criteria in actuarial risk theory. In this context, numerous papers considered threshold (refractive) and barrier (reflective) dividend strategies. These were shown…

最优化与控制 · 数学 2020-09-10 Benjamin Avanzi , José-Luis Pérez , Bernard Wong , Kazutoshi Yamazaki

Consider the optimal dividend problem for an insurance company whose uncontrolled surplus precess evolves as a spectrally negative Levy process. We assume that dividends are paid to the shareholders according to admissible strategies whose…

证券定价 · 定量金融 2014-02-26 Ying Shen , Chuancun Yin , Kam Chuen Yuen

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 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 study the optimal bailout dividend problem with transaction costs for an insurance company, where shareholder payouts align with the arrival times of an independent Poisson process. In this scenario, the underlying risk model follows a…

最优化与控制 · 数学 2024-03-26 Harold A. Moreno-Franco , Jose-Luis Pérez

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

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 de Finetti's optimal dividend problem with capital injection. We confirm the optimality of a double barrier strategy when the underlying risk model follows a L\'evy process that may have positive and negative jumps. The…

概率论 · 数学 2019-09-17 Kei Noba

De Finetti's optimal dividend problem has recently been extended to the case dividend payments can only be made at Poisson arrival times. This paper considers the version with bail-outs where the surplus must be nonnegative uniformly in…

概率论 · 数学 2018-01-03 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

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 consider dividend problem for an insurance company whose risk evolves as a spectrally negative L\'{e}vy process (in the absence of dividend payments) when Parisian delay is applied. The objective function is given by the…

投资组合管理 · 定量金融 2011-10-19 Irmina Czarna , Zbigniew Palmowski

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 study the problem of optimal risk policies and dividend strategies for an insurance company operating under the constraint that the timing of shareholder payouts is governed by the arrival times of a Poisson process. Concurrently, risk…

最优化与控制 · 数学 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco
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