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Currency Cross Rate Calculator

Calculate a currency cross rate (such as EUR/JPY or GBP/CAD) from two exchange rates quoted against a common currency like the US dollar, with the inverse rate and a converted amount.

Currency A (code)

Currency B (code)

Common currency (code)

Rate for currency A

How the A rate is quoted

Rate for currency B

How the B rate is quoted

Amount of currency A to convert

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How it works

A/B = (common currency per 1 A) × (B per 1 common currency) · e.g. EUR/JPY = EUR/USD × USD/JPY · when a rate is quoted the other way round, use its reciprocal · B/A = 1 ÷ (A/B)

A cross rate is an exchange rate between two currencies that is worked out through a third, usually the US dollar, because most currencies trade most actively against the dollar. Multiply when the common currency cancels out (EUR/USD × USD/JPY = EUR/JPY) and divide when both are quoted the same way (USD/JPY ÷ USD/CHF = CHF/JPY). Real dealing rates also have a bid–ask spread, so a bank’s cross rate will be slightly worse than this mid-market figure.

Worked example

With EUR/USD at 1.0870 and USD/JPY at 151.50, the cross rate is 1.087 × 151.5 = 164.681, so 1 EUR = 164.681 JPY and 1 JPY = 0.006072 EUR. Converting 1,000.00 EUR gives 164,680.50 JPY.

Sources: Investopedia — Cross Rate · European Central Bank — Euro foreign exchange reference rates

Frequently asked questions

What is a cross rate in forex?

An exchange rate between two currencies calculated from their rates against a third currency — for example EUR/GBP from EUR/USD and GBP/USD. Pairs that do not include the US dollar are often called crosses.

When do I multiply and when do I divide?

Multiply when the common currency is the quote currency of one rate and the base of the other (EUR/USD × USD/JPY). Divide when it is in the same position in both (EUR/USD ÷ GBP/USD = EUR/GBP). The calculator handles this with the quote-direction choices.

Why does my bank give a different rate?

Banks and card networks add a spread or markup to the mid-market rate and may use a rate from earlier in the day. Use mid-market rates here to see how much the markup costs.

How many decimals should a cross rate have?

Most pairs are quoted to 4 or 5 decimals; pairs involving the yen are quoted to 2 or 3. The calculator shows more for small rates so the inverse stays accurate.

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Educational estimate, not investment, trading or tax advice. Brokers, issuers and data providers use their own conventions, fees and figures — confirm with your broker, the issuer’s documents or a licensed adviser before acting.