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Managing Synthetic CDO Tranches using Base Correlations

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Heterogeneous portfolios<br />

Can we find a suitable index portfolio<br />

<br />

Last example worked well since both the bespoke and index portfolios were<br />

fairly similar (both contained investment grade names)<br />

<br />

What about dispersion Suppose bespoke portfolio contains high yield and<br />

investment credits<br />

Map to multiple indices<br />

Find greatest overlap in names across appropriate indices<br />

Extend one-factor Gaussian copula model so that we can map a bespoke portfolio<br />

to multiple index portfolios<br />

32

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