Pesquisa de referências
Centro de Documentação

From ruin to bankruptcy for compound poisson surplus processes
Recurso electrónico / electronic resource
MAP20130033648
Albrecher, Hansjörg ‌
From ruin to bankruptcy for compound poisson surplus processes / Hansjörg Albrecher, Volkmar Lautscham
Sumario: In classical risk theory, the infinite-time ruin probability of a surplus process Ct is calculated as the probability of the process becoming negative at some point in time. In this paper, we consider a relaxation of the ruin concept to the concept of bankruptcy, according to which one has a positive surplus-dependent probability to continue despite temporary negative surplus. We study the resulting bankruptcy probability for the compound Poisson risk model with exponential claim sizes for different bankruptcy rate functions, deriving analytical results, upper and lower bounds as well as an efficient simulation method. Numerical examples are given and the results are compared with the classical ruin probabilities. Finally, it is illustrated how the analysis can be extended to study the discounted penalty function under this relaxed ruin criterion
En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 08/07/2013 Volumen 43 Número 2 - julio 2013
I. Título.