Optimal Dividend Barrier in the Classical Risk Model Perturbed by Diffusion
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 113 | Views: 279

Research Paper | Mathematics | China | Volume 6 Issue 5, May 2017 | Popularity: 6.1 / 10


     

Optimal Dividend Barrier in the Classical Risk Model Perturbed by Diffusion

Xitong Song, Yanan Wang


Abstract: In this paper we consider a diffusion perturbed classical compound Poisson risk model in the presence of a constant dividend barrier. An integro-differential equation with certain boundary conditions of the discounted dividend payments prior to ruin is derived and solved. We also consider few particular examples to offer optimal dividend barrier.


Keywords: Compound Poisson process, Diffusion Process, Discounted dividend payments, Integro-differential equation


Edition: Volume 6 Issue 5, May 2017


Pages: 1703 - 1709



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Xitong Song, Yanan Wang, "Optimal Dividend Barrier in the Classical Risk Model Perturbed by Diffusion", International Journal of Science and Research (IJSR), Volume 6 Issue 5, May 2017, pp. 1703-1709, https://www.ijsr.net/getabstract.php?paperid=ART20173409, DOI: https://www.doi.org/10.21275/ART20173409

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