Dividend maximization under consideration of the time value of ruin
Détails
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Etat: Public
Version: de l'auteur⸱e
Etat: Public
Version: de l'auteur⸱e
ID Serval
serval:BIB_7BEB174E91E1
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Dividend maximization under consideration of the time value of ruin
Périodique
Insurance: Mathematics and Economics
ISSN
0167-6687
Statut éditorial
Publié
Date de publication
2007
Peer-reviewed
Oui
Volume
41
Numéro
1
Pages
163-184
Langue
anglais
Résumé
In the Cramer-Lundberg model and its diffusion approximation, it is a classical problem to find the optimal dividend payment strategy that maximizes the expected value of the discounted dividend payments until ruin. One often raised disadvantage of this approach is the fact that such a strategy does not take the lifetime of the controlled process into account. In this paper we introduce a value function which considers both expected dividends and the time value of ruin. For both the diffusion model and the Cramer-Lundberg model with exponential claim sizes, the problem is solved and in either case the optimal strategy is identified, which for unbounded dividend intensity is a barrier strategy and for bounded dividend intensity is of threshold type.
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Création de la notice
09/02/2009 19:10
Dernière modification de la notice
20/08/2019 14:37