Properties of a risk measure derived from ruin theory


Autoria(s): Trufin, J.; Albrecher, H.; Denuit, M.
Data(s)

2011

Identificador

https://serval.unil.ch/notice/serval:BIB_C8B043C6DD59

https://serval.unil.ch/resource/serval:BIB_C8B043C6DD59.P001/REF

http://nbn-resolving.org/urn/resolver.pl?urn=urn:nbn:ch:serval-BIB_C8B043C6DD599

urn:nbn:ch:serval-BIB_C8B043C6DD599

Idioma(s)

eng

Direitos

info:eu-repo/semantics/openAccess

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Fonte

The Geneva Risk and Insurance Review362174-188

Tipo

info:eu-repo/semantics/article

article

Resumo

This paper studies a risk measure inherited from ruin theory and investigates some of its properties. Specifically, we consider a value-at-risk (VaR)-type risk measure defined as the smallest initial capital needed to ensure that the ultimate ruin probability is less than a given level. This VaR-type risk measure turns out to be equivalent to the VaR of the maximal deficit of the ruin process in infinite time. A related Tail-VaR-type risk measure is also discussed.

Formato

application/pdf

Palavras-Chave #Ruin probability; Classical risk model; Value-at-risk (VaR); Tail-VaR; Stochastic ordering