It is a bespoke product in which the contract ends and compensation is paid at the first (or nth) default, and it is traded as a swap or in note form1.
Consider a hypothetical example in which a five-name basket has n = 2. The first default is not compensated. When the second name defaults, the seller compensates the loss on that second name, and the trade ends.
Notes
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IHS Markit, "CDS Indices Primer" (2021), page 13. ↩