Lesson 2 of 5 · 13 min

Triangular arbitrage and reading currency moves

A quoted cross-rate must match the rate implied by the two underlying quotes, or traders earn a riskless profit by trading around the triangle; and a change in a quote tells you which currency strengthened and by how much.

In short

  • If a dealer's cross-rate differs from the implied cross-rate, buy the currency where it is cheap and sell it where it is dear: triangular arbitrage, so called because three currencies are involved.
  • Profit per unit of base currency = the gap between the two rates, paid in the price currency.
  • Such gaps are rare and tiny because traders and algorithms remove them almost at once; in calculations we assume cross-rates are consistent.
  • A rise in a price/base quote means the base currency appreciated; its percentage change is new ÷ old − 1.
  • For the price currency, invert first: its change is old ÷ new − 1, which is not simply the negative of the base currency's change.

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Triangular arbitrage and reading currency moves · Exchange Rate Calculations