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Managing Synthetic CDO Tranches using Base Correlations

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Mappings<br />

<br />

Method 2: ATM mapping<br />

Adjusts for recovery rates<br />

Two tranches are equivalent if their strikes lie in the same region of the capital structure with respect to E[PL]<br />

But dispersion is not captured<br />

<br />

Method 3: Probability Matching<br />

Two tranches are priced with the same correlation if they have the same probability of being wiped out<br />

Problem: Discrete losses need to be smooth cumulative loss distribution<br />

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