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Implied Loss Distribution, Term Structure of Correlation Skew and ...

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Mixture <strong>of</strong> Copula Functions<br />

Basic Idea: <strong>Correlation</strong> is small in good times <strong>and</strong> large in bad times<br />

One solution is to make correlation r<strong>and</strong>om<br />

Using copula function we know that the mixture <strong>of</strong> copula function<br />

is still a copula function<br />

C ( U ) = C(<br />

u | ρ)<br />

dV ( ρ)<br />

ρ<br />

14

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