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: 126

Research Paper | Mathematics | China | Volume 5 Issue 6, June 2016


Optimal Dividend and Financing Control Problem in the Risk Model with Non-Cheap Proportional Reinsurance

Ye Liu [2] | Danfeng Zhao [2]


Abstract: In this paper, we consider the optimal dividend and financing control problem in the risk model with non-cheap proportional reinsurance and two kinds of transaction costs. The company control its reserves by paying dividends, issuing equity and taking reinsurance. In our model, the objective is to find the strategy which maximizes the expected present value of the dividends payout minus the equity issuance until the time of ruin. We solve the optimal control problem and identify the optimal strategy by constructing two categories of suboptimal control problems, one is the classical model without equity issuance, the other never goes bankrupt by equity issuance.


Keywords: dividend, equity issuance, non-cheap proportional reinsurance, HJB equation, optimal strategy


Edition: Volume 5 Issue 6, June 2016,


Pages: 563 - 569


How to Download this Article?

You Need to Register Your Email Address Before You Can Download the Article PDF


How to Cite this Article?

Ye Liu, Danfeng Zhao, "Optimal Dividend and Financing Control Problem in the Risk Model with Non-Cheap Proportional Reinsurance", International Journal of Science and Research (IJSR), Volume 5 Issue 6, June 2016, pp. 563-569, https://www.ijsr.net/get_abstract.php?paper_id=NOV164089

Similar Articles with Keyword 'dividend'

Downloads: 113

Research Paper, Mathematics, China, Volume 6 Issue 5, May 2017

Pages: 1703 - 1709

Optimal Dividend Barrier in the Classical Risk Model Perturbed by Diffusion

Xitong Song [2] | Yanan Wang [2]

Share this Article

Downloads: 116

Research Paper, Mathematics, China, Volume 5 Issue 6, June 2016

Pages: 1872 - 1875

On the Compound Poisson Model with Debit Interest under Absolute Ruin

Dingjie Fu [2] | Yan Guo [2]

Share this Article
Top