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Quantitative Finance · Begrippenlijst

Wat is Tranche delta?

Definition 15.6 Rates, Credit, XVA and Risk · Hoofdstuk 15 — Portfolio Credit

The tranche delta is the notional of index protection whose value changes as much as the tranche’s, per unit of tranche notional, when every name’s spread moves together by a small amount, with the base correlations held.

Tranche deltas to a parallel move of the index, per unit of tranche notional, with the base correlations held. Leverage is highest at the bottom of the structure: the equity moves like 17 times its notional of index, the super senior like one seventh. Data: the chapter’s tutorial.
Figure 15.3. Tranche deltas to a parallel move of the index, per unit of tranche notional, with the base correlations held. Leverage is highest at the bottom of the structure: the equity moves like 17 times its notional of index, the super senior like one seventh. Data: the chapter’s tutorial.

Voorbeelden

Example 15.7 (Deltas across the structure)

The deltas of the six tranches of Example 15.4 are 17.3, 7.32, 3.28, 1.77, 0.72 and 0.14 (Figure 15.3): EUR 10 million of equity tranche moves like EUR 173 million of index. Hedging the equity with the mezzanine takes 17.3/7.32=2.3617.3/7.32 = 2.36 times the notional.

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