南开大学学报(自然科学版) ›› 2019 ›› Issue (5): 1-.

• •    下一篇

带有利率和贷款的风险模型的负盈余总持续时(英文)

  

  • 出版日期:2019-10-20 发布日期:2019-10-23

  • Online:2019-10-20 Published:2019-10-23

摘要: The risk model with credit and debit interests is investigated, in which credit interest means that the company is allowed to receive credit interest at a constant force of interest while the surplus turns positive, and debit interest means that the insurer can borrow money from the bank at a constant force of interest while the surplus turns negative. By the strong Markov property of the risk model with credit and debit interests, the Laplace-Stieltjes transform for the total duration of negative surplus is obtained. Further, the closed-form expression of the Laplace-Stieltjes transform for the total duration of negative surplus is derived in the case of the exponential distribution.

关键词:  , total duration of negative surplus, Laplace-Stieltjes transform, strong Markov property, credit interest, debit interest