

Summary: 
In a classical risk model under constant interest force, we study the probability that the surplus of an insurance company reaches an upper barrier before a lower barrier. We define this probability as winfirst probability. Borrowing ideas from lifeinsurance theory, hazard rates of the maximum of the surplus before ruin, regarded as a remaining future lifetime random variable, are studied, and provide an original derivation of the winfirst probability. We propose an algorithm to efficiently compute this riskreturn indicator and its derivatives in the general case, as well as bounds of these quantities. The efficiency of the proposed algorithm is compared with adaptations of other existing methods, and its interest is illustrated by the computation of the expected amount of dividends paid until ruin in a risk model with a dividend barrier strategy. © 2005 Elsevier B.V. All rights reserved. 

Date: 2 June  Time: 10:30 to 12:00  Room: 241 
Theme: 9.A. Various topics 


