Default is the occurrence of a specified failure to meet a debt obligation, or another qualifying credit condition, under the definition being used. A missed promised payment is the familiar case. For a lender or bondholder, the consequence is that the promised cash flow may become a recovery claim; for a quant, the definition determines which observations count as defaults in a model or dataset.
The trigger and the loss answer different questions. Default tells you that the qualifying event happened. It does not tell you that the borrower has no assets, has entered bankruptcy, or that the entire claim is lost.
Specify the trigger before counting defaults
“Default” has several related uses. A payment date alone does not settle every classification.
| Context | What determines the event? |
|---|---|
| Loan or bond contract | The applicable payment obligations and other event-of-default provisions, including any relevant grace, notice or cure conditions |
| Bank regulatory reporting or capital modelling | The applicable supervisory definition, which can include evidence of unlikeliness to pay as well as a material past-due test |
| A credit default swap | The covered credit events and determination requirements in the transaction's documentation |
| A structural credit model | A model rule connecting assets and debt, such as failure to cover promised debt at maturity; this is a modelling assumption |
For example, the Basel IRB reference definition, CRE36.68–36.71, includes both an unlikeliness-to-pay route and a past-due route, with implementation guidance from national supervisors. A bank need not wait for the past-due threshold if the other route applies. This is a bank capital framework, not a universal contractual grace period.
Similarly, Basel's credit-derivative recognition requirements, CRE22.86, expressly distinguish failure to pay, bankruptcy and certain restructurings, and address applicable grace periods. Those recognition requirements do not establish the covered events for every CDS. The actual transaction terms matter.
A default can leave a partial recovery
Consider a fictional borrower owing USD 100 at a specified deadline. Stipulate that it makes no qualifying payment, that every condition in the example's default definition has been met, and that default therefore occurs. This setup assumes the trigger; it does not infer a legal event from a briefly late transfer.
Now stipulate USD 40 of eventual net recovery expressed as a cash-equivalent value at the default valuation date. Collection costs are already deducted. Both the USD 100 claim and the USD 40 recovery use that same date and currency, so the lender's loss is
The recovery rate is . With the USD 100 claim as exposure at default, loss given default is . The amounts describe one stipulated outcome, not an empirical recovery estimate or a prediction.
Original fictional USD claim. The event follows a stipulated definition; recovery and loss are measured at the default valuation date. The sequence shows logic, not elapsed time.
Actual recoveries may arrive later as cash, securities or proceeds from collateral. Comparing them with a claim at an earlier date requires a valuation convention. Subtracting an undiscounted future receipt from today's claim silently ignores the time value of money. Default itself also leaves open how collateral, seniority and restructuring affect that particular claim.
Keep the name, horizon and loss separate
A default probability needs a definition and a horizon. It measures the chance of the qualifying event over that horizon. The recovery calculation measures severity after the event. A borrower can also become riskier, and its bond price can fall as its credit spread widens, without any default having occurred.
For derivatives, identify whose default matters. A CDS reference entity's credit event creates the contractual protection claim; the protection seller's failure concerns whether that claim gets paid. The Bilateral default lesson develops this distinction and the order of competing defaults. It has a public preview; the full lesson requires membership and uses more advanced default-time models.
When comparing default statistics, check the event definition, obligor-versus-facility treatment, observation horizon and recovery convention before comparing headline rates. A difference in labels can otherwise look like a difference in credit quality.
Sources
- Alexander J. McNeil, Rüdiger Frey and Paul Embrechts, Quantitative Risk Management: Concepts, Techniques and Tools, revised edition, Princeton University Press, 2015, chapter 10 introduction and §§10.1.1–10.1.2, pp. 367–368; §10.1.5, pp. 372–373: defaultable payment obligations, model definitions, exposure, default probability and recovery. The numerical claim and diagram here are original and synthetic.
- Basel Committee: CRE36, §§36.68–36.76: scoped IRB default definition, national implementation, facility treatment and economic loss including discounting and collection costs.
- Basel Committee: CRE22, §22.86: credit events, grace periods and determination requirements for recognition of credit derivatives as credit risk mitigation.