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Probability of Default as a Function of Correlation: The Problem of Non-uniqueness

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dc.contributor.author Daglish, Toby
dc.contributor.author Li, Wei
dc.date.accessioned 2015-02-11T21:39:12Z
dc.date.accessioned 2022-07-07T02:06:43Z
dc.date.available 2015-02-11T21:39:12Z
dc.date.available 2022-07-07T02:06:43Z
dc.date.copyright 1/06/2008
dc.date.issued 2008
dc.identifier.uri https://ir.wgtn.ac.nz/handle/123456789/19109
dc.description.abstract It is common practise in industry for traders to use copula models combined with observed market prices to calculate implied correlations for firm defaults. The actual feasibility of this calculation depends on the assumption that there is a one-to-one mapping between values of CDO tranches and the correlation implicit in the copula. This paper presents several proofs which demonstrate that for sufficiently large portfolios of underlying credits the probability of certain number of default are hump shaped as a function of the correlation. We follow our analytical results with some numerical examples of pricing CDOs demonstrating the non-uniqueness problem of implied correlations. en_NZ
dc.format pdf en_NZ
dc.language.iso en_NZ
dc.publisher Te Herenga Waka—Victoria University of Wellington en_NZ
dc.rights Permission to publish research outputs of the New Zealand Institute for the Study of Competition and Regulation has been granted to the Victoria University of Wellington Library. Refer to the permission letter in record: https://ir.wgtn.ac.nz/handle/123456789/18870 en_NZ
dc.title Probability of Default as a Function of Correlation: The Problem of Non-uniqueness en_NZ
dc.type Text en_NZ
vuwschema.contributor.unit New Zealand Institute for the Study of Competition and Regulation en_NZ
vuwschema.contributor.unit Victoria Business School: Orauariki en_NZ
vuwschema.subject.anzsrcfor 149999 Economics not elsewhere classified en_NZ
vuwschema.type.vuw Working or Occasional Paper en_NZ
vuwschema.subject.anzsrcforV2 389999 Other economics not elsewhere classified en_NZ


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