Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Optimal asset control of the diffusion model under consideration of the time value of ruin141158594ENH.DaiGuangxi UniversityC.TangGuangxi University of Finance and EconomicsJournal Article20130303In this paper, we consider the optimal asset control of a financial company which can control its liquid reserves by paying dividends and by issuing new equity. We assume that the liquid surplus of the company in the absence of control is modeled by the diffusion model. It is a hot topic to maximize the expected present value of dividends payout minus equity issuance until the time of bankruptcy. We study this problem under consideration of the time value of ruin. By constructing two categories of suboptimal models, one with classical model without equity issuance, and the other which never goes bankrupt by equity issuance, the optimal problem is addressed. At the end, some numerical examples and interesting economic interpretations are presented.http://bims.iranjournals.ir/article_594_47a7d6a93e62f77f04be6701ab83e08a.pdf