International Money

Cross Exchange Rate

Derive a cross quote from two rates expressed against the same base.

Your numbers

Sample inputs are illustrative. Changing currency changes labels only.

Your result

Preparing the sample calculation…

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How to use this calculator

  1. Enter units of currency a per base currency, units of currency b per base currency.
  2. Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
  3. Read the result with the assumptions below. Export details or save a second scenario to compare your choices.

Formula and method

B/A=(B/base)/(A/base).

Assumptions and limitations

User-entered same-time quotes; bid/ask spread and transaction fees are not included.

Worked example

With units of currency a per base currency = 4, units of currency b per base currency = 2, units of b per a is approximately 0.5.

What the result means

Derive a cross quote from two rates expressed against the same base.

Common questions

How should I interpret units of b per a?

Derive a cross quote from two rates expressed against the same base.

What should I check before using this result?

User-entered same-time quotes; bid/ask spread and transaction fees are not included.

Methodology and transparency

Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.