Capital adequacy tests and limited liability of financial institutions

The theory of acceptance sets and their associated risk measures plays a key role in the design of capital adequacy tests. The objective of this paper is to investigate the class of surplus-invariant acceptance sets. We argue that surplus invariance is a reasonable requirement from a regulatory pers...

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Published inJournal of banking & finance Vol. 51; pp. 93 - 102
Main Authors Koch-Medina, Pablo, Moreno-Bromberg, Santiago, Munari, Cosimo
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.02.2015
Elsevier Sequoia S.A
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Summary:The theory of acceptance sets and their associated risk measures plays a key role in the design of capital adequacy tests. The objective of this paper is to investigate the class of surplus-invariant acceptance sets. We argue that surplus invariance is a reasonable requirement from a regulatory perspective, since the corresponding capital adequacy tests do not depend on the surplus of a financial institution, which benefits exclusively its shareholders, but only on the default profile, which affects its liability holders. We provide a detailed analysis of surplus-invariant acceptance sets and their associated risk measures and we discuss the link with loss-based and excess-invariant risk measures, recently studied by Cont et al. (2013) and by Staum (2013), respectively.
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ISSN:0378-4266
1872-6372
DOI:10.1016/j.jbankfin.2014.11.002