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FREE FOREX EXCHANGE-RATE TOOL

Cross-Rate Calculator

Calculate an implied cross-currency rate by multiplying two aligned rates or dividing rates that share the same quote currency.

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CALCULATOR INPUTS

Enter your planning values

CALCULATED OUTPUT

Your planning estimate

Enter or adjust the values, then select Calculate results.

STEP-BY-STEP

How to use this tool

  1. Write the currency labels beside both source rates.
  2. Choose multiplication when the middle currency cancels: A/B × B/C.
  3. Choose division only when the displayed structure matches A/C ÷ B/C.
  4. Enter the two rates from the same timestamp and data source when possible.
  5. Optionally enter a market cross rate and amount for comparison.
  6. Investigate differences caused by orientation, spreads, stale prices, or provider markups.
WORKED EXAMPLE

See the calculation in context

If EUR/USD is 1.1000 and USD/JPY is 150.00, the implied EUR/JPY cross is 1.1000 × 150.00 = 165.00 before spreads or timing differences.

Calculation method

For aligned pairs A/B and B/C, multiply to obtain A/C. When two rates share the same quote currency, divide the appropriate rates so the shared currency cancels. Always write the currency units beside each rate.

AVOID THESE ERRORS

Common mistakes

  1. Multiplying rates whose currency units do not cancel
  2. Using one live rate and one delayed rate
  3. Ignoring bid and ask sides
  4. Comparing a mid-rate calculation with an executable quote
  5. Reversing one pair without taking its inverse
  6. Treating a small apparent discrepancy as risk-free arbitrage
FREQUENTLY ASKED

Questions and answers

When should rates be multiplied?

Multiply when the quote currency of the first pair is the base currency of the second pair.

Why can the market cross differ?

Bid-ask spreads, timing, liquidity, provider markups, and rounding can create differences.

Does this identify arbitrage?

No. Executable bid/ask prices, fees, latency, size, and settlement constraints are required.

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USEFUL NEXT TOOLS

Continue the workflow

FREE TOOLBase Currency ConverterConvert a base-currency amount into quote or account currency using a supplied exchange rate and estimated conversion fee.FREE TOOLQuote Currency ConverterConvert a quote-currency amount back into base currency using the supplied pair rate, conversion fee, and optional account-currency rate.FREE TOOLForex Pip Value CalculatorCalculate the estimated pip value for a forex position using the pair price, lot size, contract size, pip size, and an optional quote-to-account currency conversion rate.FREE TOOLCurrency Pair Profit CalculatorEstimate forex profit or loss from direction, entry, exit, position size, pip size, pip value, and trading costs.
Educational-use notice.

Outputs are planning estimates, not investment advice or guarantees. Verify instrument specifications, fees, prices and binding prop-firm rules with the relevant official source before relying on any result.