Coherent Risk Measures and Upper Previsions
Renato Pelessoni () and
Additional contact information
Paolo Vicig: University of Trieste
Risk and Insurance from EconWPA
In this paper coherent risk measures and other currently used risk measures, notably Value-at-Risk (VaR), are studied from the perspective of the theory of coherent imprecise previsions. We introduce the notion of coherent risk measure defined on an arbitrary set of risks, showing that it can be considered a special case of coherent upper prevision. We also prove that our definition generalizes the notion of coherence for risk measures defined on a linear space of random numbers, given in literature. We also show that Value-at-Risk does not necessarily satisfy a weaker notion of coherence called ‘avoiding sure loss’ (ASL), and discuss both sufficient conditions for VaR to avoid sure loss and ways of modifying VaR into a coherent risk measure.
Keywords: Coherent risk measure; imprecise prevision; Value-at-Risk; avoiding sure loss condition (search for similar items in EconPapers)
Note: Type of Document - pdf; prepared on PC - TEX; pages: 9 ; figures: none. Presented at the 2nd International Symposium on Imprecise Probabilities and Their Applications, Ithaca, New York, 2001
References: View complete reference list from CitEc
Citations View citations in EconPapers (1) Track citations by RSS feed
Downloads: (external link)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpri:0201001
Access Statistics for this paper
More papers in Risk and Insurance from EconWPA
Series data maintained by EconWPA ().