Asymptotic analysis of the loss given default in the presence of multivariate regular variation

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<title>Asymptotic analysis of the loss given default in the presence of multivariate regular variation</title>
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<namePart>Tang, Qihe</namePart>
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<abstract displayLabel="Summary">The authors propose a new structural model for the loss given default, which takes into account the severity of default. Then we study the tail behavior of the loss given default under the assumption that the losses of the n obligors jointly follow a multivariate regular variation structure. This structure provides an ideal framework for modeling both heavy tails and asymptotic dependence. Multivariate models involving Archimedean copulas and mixtures are revisited. As applications, we derive asymptotic estimates for the value at risk and conditional tail expectation of the loss given default and compare them with the traditional empirical estimates.</abstract>
<note type="statement of responsibility">Qihe Tang, Zhongyi Yuan</note>
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<title>North American actuarial journal</title>
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<publisher>Schaumburg : Society of Actuaries, 1997-</publisher>
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<identifier type="issn">1092-0277</identifier>
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<text>02/09/2013 Tomo 17 Número 3 - 2013 </text>
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