The optimal dividend barrier in the Gamma-Omega model

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Etat: Public
Version: de l'auteur⸱e
ID Serval
serval:BIB_8C8B07848F02
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
The optimal dividend barrier in the Gamma-Omega model
Périodique
European Actuarial Journal
Auteur⸱e⸱s
Albrecher H., Gerber H., Shiu E.
ISSN
2190-9733
Statut éditorial
Publié
Date de publication
2011
Peer-reviewed
Oui
Volume
1
Numéro
1
Pages
43-55
Langue
anglais
Résumé
In the traditional actuarial risk model, if the surplus is negative, the company is ruined and has to go out of business. In this paper we distinguish between ruin (negative surplus) and bankruptcy (going out of business), where the probability of bankruptcy is a function of the level of negative surplus. The idea for this notion of bankruptcy comes from the observation that in some industries, companies can continue doing business even though they are technically ruined. Assuming that dividends can only be paid with a certain probability at each point of time, we derive closed-form formulas for the expected discounted dividends until bankruptcy under a barrier strategy. Subsequently, the optimal barrier is determined, and several explicit identities for the optimal value are found. The surplus process of the company is modeled by a Wiener process (Brownian motion).
Création de la notice
05/04/2011 9:47
Dernière modification de la notice
20/08/2019 15:50
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