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Quantitative Finance · Glossary

What is Exposure at default, SA-CCR?

Also known as: exposure at default · standardised approach for counterparty credit risk

Definition 19.6 Rates, Credit, XVA and Risk · Chapter 19 — Funding, Margin and Capital Adjustments

The exposure at default (EAD) of a netting set is the exposure a capital rule charges for its counterparty’s default. The standardised approach for counterparty credit risk (SA-CCR) sets EAD=1.4 (RC+multiplier×AddOn)\mathrm{EAD} = 1.4\,(\mathrm{RC}+\mathrm{multiplier}\times\mathrm{AddOn}): a replacement cost (max⁡(V−C,0)\max(V-C,0), or max⁡(V−C,Th+MTA−NICA,0)\max(V-C,\mathrm{Th}+\mathrm{MTA}-\mathrm{NICA},0) under margin) plus supervisory add-ons per asset class (for interest rates, 0.5% of the notional times a supervisory duration and a maturity factor), scaled down for excess collateral.

Examples

Example 19.7 (The swap’s EAD)

Today the swap has no replacement cost; its supervisory duration is 7.87 years and its add-on 0.5% of USD 100 million times 7.87, USD 3.93 million, so its EAD is USD 5.51 million. Under a CSA with a ten-day margin period of risk the maturity factor is 1.510/250=0.301.5\sqrt{10/250} = 0.30 and the replacement cost floor the MTA of USD 0.5 million: EAD USD 2.35 million. The implementation reproduces the Basel Committee’s worked example (an EAD of 569 thousand on three trades).

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