Economics at your fingertips  

The compound Poisson risk model under a mixed dividend strategy

Zhimin Zhang and Xiao Han

Applied Mathematics and Computation, 2017, vol. 315, issue C, 1-12

Abstract: In this paper, we consider a compound Poisson model under a mixed dividend strategy. The mixed dividend strategy is a combination of threshold dividend strategy and periodic dividend strategy. Given a positive threshold level b > 0, whenever the surplus process attains the level b, dividends will be paid off continuously at a rate α > 0. Furthermore, given a sequence of dividend decision times {Zj}j=1∞, whenever the observed surplus level at Zj is larger than b, the excess value will also be paid off as dividend. We study the expected discounted dividend payments before ruin and the Gerber–Shiu expected discounted penalty function. Some numerical examples are also presented.

Keywords: Compound Poisson model; Mixed dividend strategy; Expected discounted dividends; Expected discounted penalty function; Ruin (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1) Track citations by RSS feed

Downloads: (external link)
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link:

DOI: 10.1016/j.amc.2017.07.048

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Haili He ().

Page updated 2020-06-20
Handle: RePEc:eee:apmaco:v:315:y:2017:i:c:p:1-12