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This paper studies De Finetti's optimal dividend problem with capital injection under spectrally positive Markov additive models. Based on dynamic programming principle, we first study an auxiliary singular control problem with a final…

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

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

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 optimal control problem for a company whose surplus process evolves as an upward jump diffusion with random return on investment. Three types of practical optimization problems faced by a company that can control…

投资组合管理 · 定量金融 2016-11-04 Chuancun Yin , Kam Chuen Yuen

For portfolio optimisation under proportional transaction costs, we provide a duality theory for general cadlag price processes. In this setting, we prove the existence of a dual optimiser as well as a shadow price process in a generalised…

数理金融 · 定量金融 2014-08-27 Christoph Czichowsky , Walter Schachermayer

We re-visit the classical problem of optimal payment of dividends and determine the degree to which the diffusion approximation serves as a valid approximation of the classical risk model for this problem. Our results parallel some of those…

最优化与控制 · 数学 2020-10-26 Asaf Cohen , Virginia R. Young

In this paper we solve the dividend optimization problem for a corporation or a financial institution when the managers of the corporation are facing (regulatory) implementation delays. We consider several cash reservoir models for the firm…

最优化与控制 · 数学 2009-01-21 Erhan Bayraktar , Masahiko Egami

In this note, we study a class of stochastic control problems where the optimal strategies are described by two parameters. These include a subset of singular control, impulse control, and two-player stochastic games. The parameters are…

最优化与控制 · 数学 2016-05-18 Kazutoshi Yamazaki

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 consider the De Finetti's optimal dividend and capital injection problem under a Markov additive model. We assume that the surplus process before dividends and capital injections follows a spectrally positive Markov…

最优化与控制 · 数学 2022-10-28 Lijun Bo , Wenyuan Wang , Kaixin Yan

In this paper we study the valuation problem of an insurance company by maximizing the expected discounted future dividend payments in a model with partial information that allows for a changing economic environment. The surplus process is…

数理金融 · 定量金融 2016-08-03 Michaela Szölgyenyi

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

This paper studies convex duality in optimal investment and contingent claim valuation in markets where traded assets may be subject to nonlinear trading costs and portfolio constraints. Under fairly general conditions, the dual expressions…

数理金融 · 定量金融 2016-03-10 Teemu Pennanen , Ari-Pekka Perkkiö

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

We propose a general approximation method for determining optimal trading strategies in markets with proportional transaction costs, with a polynomial approximation of the residual value function. The method is exemplified by several…

投资组合管理 · 定量金融 2024-07-11 Eberhard Mayerhofer

We consider de Finetti's problem for spectrally one-sided L\'evy risk models with control strategies that are absolutely continuous with respect to the Lebesgue measure. Furthermore, we consider the version with a constraint on the time of…

最优化与控制 · 数学 2026-01-14 Mauricio Junca , Harold Moreno-Franco , José-Luis Pérez , Kazutoshi Yamazaki

In this paper we consider two problems on optimal implementation delay of taxation with trade-off for spectrally negative L\'{e}vy insurance risk processes. In the first case, we assume that an insurance company starts to pay tax when its…

综合金融 · 定量金融 2019-10-21 Wenyuan Wang , Xueyuan Wu , Cheng Chi

We consider the design of a revenue-optimal mechanism when two items are available to be sold to a single buyer whose valuation is uniformly distributed over an arbitrary rectangle $[c_1,c_1+b_1]\times[c_2,c_2+b_2]$ in the positive…

计算机科学与博弈论 · 计算机科学 2019-03-06 D. Thirumulanathan , Rajesh Sundaresan , Y Narahari

In this paper, we study the optimal dividend problem under the continuous time diffusion model with the bounded dividend rate from the Reinforcement Learning (RL) perspective. Unlike the standard literature, our main focus will be on…

最优化与控制 · 数学 2026-03-30 Lihua Bai , Thejani Gamage , Jin Ma , Gaozhan Wang

We present an optimal investment theorem for a currency exchange model with random and possibly discontinuous proportional transaction costs. The investor's preferences are represented by a multivariate utility function, allowing for…

概率论 · 数学 2009-04-08 Luciano Campi , Mark P. Owen