Derive a cross rate between two currencies from their rates against a third.
Please do not make financial decisions based on these results.
What is the Cross Exchange Rate Calculator?
Derive a cross rate between two currencies from their rates against a third. To use the Cross Exchange Rate Calculator, enter a per usd, b per usd; it returns a per b, b per a, and shows them instantly as you type.
Where the Cross Exchange Rate Calculator fits
Derive a cross rate between two currencies from their rates against a third. The main figure it returns is the A per B, worked out from the values you enter.
It belongs with the other macroeconomics tools. If you are comparing options or checking a result from another angle, try the GDP Growth Rate Calculator, Inflation Rate Calculator or the Interest Rate Parity Calculator.
How to use the Cross Exchange Rate Calculator
- Enter your numbers. The inputs are A per USD, B per USD. Use real figures from your own records where you can. Fields marked optional can stay at zero.
- Read the result. The highlighted box gives the A per B, and the cards below show B per A. Tables and charts break it down further.
- Test other scenarios. Results update as you type. Change one value at a time to see what drives the answer, and press Reset to go back to the defaults.
Formula and how it works
Example with real numbers
Here is the Cross Exchange Rate Calculator using the default values shown in the calculator above:
Inputs
| A per USD | 0.92 |
|---|---|
| B per USD | 152 |
Results
| A per B | 0.0061 |
|---|---|
| B per A | 165.2174 |
With these inputs the calculator returns A per B: 0.0061. Change any value in the calculator to see how the result moves.
What if you change one input?
Sensitivity check: raising A per USD from 0.92 to 1.1 (about 20% higher) and leaving everything else as in the example above changes the results like this:
| Result | Example | After the change | Change |
|---|---|---|---|
| A per B | 0.0061 | 0.0072 | +19.6% |
| B per A | 165.2174 | 138.1818 | -16.4% |
The input that moves the result most is the one to check twice. Change it in the calculator above to test your own case.
What the results tell you
The results panel of the Cross Exchange Rate Calculator reports A per B and b per a. Compare these figures while changing one input at a time, and use the related calculators below to look at the same situation from another angle.
Method and limits. This calculator applies the formula in the section above to your inputs, in your browser; nothing you enter is stored on our servers. The result is only as accurate as the numbers you enter and the formula shown above. It is for information, not financial, tax or legal advice.
Frequently asked questions
Why use a cross rate?
When no direct quote is available, you derive it through a common currency.
What is the spending multiplier?
It is 1 divided by one minus the marginal propensity to consume, so an MPC of 0.8 gives a multiplier of 5.
Where do the economic inputs come from?
Use official sources such as the BEA, BLS, Federal Reserve, IMF or World Bank for GDP, CPI, unemployment and money supply figures.
Are the results guaranteed?
No. Results depend entirely on the numbers you enter and the formulas shown on this page. Please do not make financial decisions based on them alone; confirm important figures with a licensed professional.
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