On a dividend problem with random funding

Publikation: Beitrag in einer FachzeitschriftArtikel

Abstract

We consider a modification of the dividend maximization problem from ruin theory. Based on a classical risk process we maximize the difference of expected cumulated discounted dividends and total expected discounted additional funding (subject to some proportional transaction costs). For modelling dividends we use the common approach whereas for the funding opportunity we use the jump times of another independent Poisson process at which we choose an appropriate funding height. In case of exponentially distributed claims we are able to determine an explicit solution to the problem and derive an optimal strategy whose nature heavily depends on the size of the transaction costs. Furthermore, the optimal strategy identifies unfavourable surplus positions prior to ruin at which refunding is highly recommended.
Originalspracheenglisch
Seiten (von - bis)607-633
Seitenumfang27
FachzeitschriftEuropean Actuarial Journal
Jahrgang9
Ausgabenummer2
Frühes Online-Datum13 Jun 2019
DOIs
PublikationsstatusVeröffentlicht - Dez 2019

Fields of Expertise

  • Information, Communication & Computing

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