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Managing Synthetic CDO Tranches using Base Correlations

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Apply stress test<br />

Assume stress applies to a “calm” market environment<br />

Explicit base correlation shift<br />

<strong>Base</strong> correlation<br />

stress increases price<br />

Positions<br />

Tranche<br />

notional ($M)<br />

Upfront<br />

price ($M)<br />

DV01<br />

($000)<br />

Index<br />

($000)<br />

<strong>Base</strong> correl<br />

($000)<br />

Market<br />

spreads ($000)<br />

Sell 0-3% 3 0.73 -29 -217 64 -141<br />

Sell 3-7% 4 0.00 -10 -82 -2 -78<br />

Index 50 0.00 -22 -183 0 -183<br />

Implicit base correlation shift<br />

Positions<br />

Tranche<br />

notional ($M)<br />

Upfront<br />

price ($M)<br />

DV01<br />

($000)<br />

Index<br />

($000)<br />

<strong>Base</strong> correl<br />

$000)<br />

Market<br />

spreads ($000)<br />

Sell 0-3% 3 0.73 -29 -217 -108 -349<br />

Sell 3-7% 4 0.00 -10 -82 -63 -188<br />

Index 50 0.00 -22 -183 0 -183<br />

19

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