Cross Exchange Rate Calculator

Calculate the cross rate between any two currencies using known exchange rates.

Enter the exchange rates for two currency pairs to find the cross rate and convert amounts instantly.

Cross Exchange Rate Examples

See how to calculate cross rates with real-world examples.

EUR/USD & GBP/USD to EUR/GBP

Forex

Calculate EUR/GBP using EUR/USD = 1.10 and GBP/USD = 1.25.

First Pair: EUR/USD

First Pair Rate: 1.1

Second Pair: GBP/USD

Second Pair Rate: 1.25

Target Cross Pair: EUR/GBP

Amount: 1000

USD/JPY & USD/CHF to CHF/JPY

Forex

Calculate CHF/JPY using USD/JPY = 110.00 and USD/CHF = 0.92.

First Pair: USD/JPY

First Pair Rate: 110

Second Pair: USD/CHF

Second Pair Rate: 0.92

Target Cross Pair: CHF/JPY

Amount: 5000

AUD/USD & NZD/USD to AUD/NZD

Forex

Calculate AUD/NZD using AUD/USD = 0.75 and NZD/USD = 0.70.

First Pair: AUD/USD

First Pair Rate: 0.75

Second Pair: NZD/USD

Second Pair Rate: 0.7

Target Cross Pair: AUD/NZD

Amount: 2000

USD/CAD & USD/MXN to CAD/MXN

Forex

Calculate CAD/MXN using USD/CAD = 1.30 and USD/MXN = 20.00.

First Pair: USD/CAD

First Pair Rate: 1.3

Second Pair: USD/MXN

Second Pair Rate: 20

Target Cross Pair: CAD/MXN

Amount: 1500

Other Titles
Understanding Cross Exchange Rate Calculator: A Comprehensive Guide
Master the art of cross rate calculation for smarter currency conversions.

What is a Cross Exchange Rate?

  • Definition of Cross Rate
  • Why Cross Rates Matter
  • Common Cross Rate Scenarios
A cross exchange rate is the rate between two currencies, neither of which is the official currency of the country in which the rate is quoted. It is calculated using a third, common currency (often USD or EUR).
Example: Calculating EUR/GBP from EUR/USD and GBP/USD

Cross Rate Calculation Examples

  • If EUR/USD = 1.10 and GBP/USD = 1.25, then EUR/GBP = 1.10 / 1.25 = 0.88.
  • If USD/JPY = 110.00 and USD/CHF = 0.92, then CHF/JPY = 110.00 / 0.92 = 119.57.

Step-by-Step Guide to Using the Cross Exchange Rate Calculator

  • Input the Currency Pairs
  • Enter the Exchange Rates
  • Select the Target Cross Pair
To use the calculator, enter two known currency pairs and their rates. Then, specify the target cross pair you want to calculate. Optionally, enter an amount to convert using the cross rate.
User-Friendly Currency Conversion

Step-by-Step Examples

  • Convert 1000 EUR to GBP using EUR/USD = 1.10 and GBP/USD = 1.25.
  • Convert 5000 CHF to JPY using USD/CHF = 0.92 and USD/JPY = 110.00.

Real-World Applications of Cross Exchange Rates

  • Forex Trading
  • International Business
  • Travel and Remittances
Cross rates are essential in forex trading, international business transactions, and for travelers converting money between less common currency pairs.
Why Cross Rates Are Important

Real-World Use Cases

  • A business in Europe paying a supplier in Japan may need to calculate EUR/JPY using EUR/USD and USD/JPY.
  • A traveler converting AUD to NZD using AUD/USD and NZD/USD rates.

Common Misconceptions and Correct Methods

  • Direct vs. Cross Rates
  • Inverse Currency Pairs
  • Avoiding Calculation Errors
Many assume all currency pairs are directly quoted, but cross rates often require careful calculation, especially when the quote currency differs. Always check the direction of the pair and use the correct formula.
Tips for Accurate Cross Rate Calculation

Misconception Examples

  • To find GBP/EUR instead of EUR/GBP, take the reciprocal: 1 / (EUR/GBP).
  • If both pairs are quoted against USD, divide the rates.

Mathematical Derivation and Examples

  • Cross Rate Formula
  • Worked Examples
  • Practical Tips
The cross rate formula depends on the direction of the pairs. If both pairs share a common currency (e.g., USD), divide or multiply as needed. Always align the base and quote currencies correctly.
Cross Rate Formula: (A/B) / (C/B) = A/C

Mathematical Examples

  • EUR/USD = 1.10, GBP/USD = 1.25 → EUR/GBP = 1.10 / 1.25 = 0.88.
  • USD/JPY = 110.00, USD/CHF = 0.92 → CHF/JPY = 110.00 / 0.92 = 119.57.