Exchange Rate Change Calculator
Exchange rates change constantly and those changes affect the value of international transactions, investments, and income. This calculator computes the percentage change between an old exchange rate and a new exchange rate and shows the resulting gain or loss on a specified amount. Enter the old and new rates (both expressed as units of the same quote currency per base currency unit) and the amount in the base currency to see the impact in both absolute and percentage terms.
Exchange rate change formula
Rate change% = (new rate - old rate) / old rate x 100
Old value = amount x old rate
New value = amount x new rate
Change = new value - old value
A rate expressed as EUR per USD: if it rises from 0.90 to 0.95, USD bought more EUR so USD appreciated. The EUR/USD pair (USD per EUR) is the inverse convention. Be consistent about which currency is base and which is quote.
Practical uses of this calculator
- Measure the currency return on a foreign investment between purchase and sale dates.
- Quantify hedging risk: how much would a 5% FX move cost on an open foreign currency position?
- Track how exchange rate moves have affected the USD value of foreign earnings or expenses.
- Compare the FX return component of a foreign bond or equity investment to the local return.
Frequently asked questions
How is the exchange rate percentage change calculated?
Percentage change = (new rate - old rate) / old rate x 100. A positive result means the quote currency has appreciated (or the base currency has depreciated). A negative result means the opposite.
What does currency appreciation mean?
Appreciation means a currency has become more valuable relative to another. If USD/EUR moves from 0.90 to 0.95 (more EUR per USD), the USD has appreciated against the EUR. You can now buy more EUR with the same number of dollars.
What is the impact on an investment if the exchange rate changes?
If you hold a foreign-currency asset and the local currency depreciates, your USD-equivalent return is reduced. This calculator shows the dollar impact on a given amount so you can quantify currency risk.
Where do I get historical exchange rate data?
The Federal Reserve publishes daily H.10 foreign exchange rate data at federalreserve.gov. The St. Louis Fed FRED database provides historical time series for most currency pairs.
What is the difference between appreciation and strengthening?
They mean the same thing. A currency appreciates (strengthens) when it buys more of the foreign currency than it did before, i.e., when the exchange rate (expressed as foreign currency per unit of domestic currency) rises.
Official sources
- Federal Reserve Foreign Exchange Rates (H.10): federalreserve.gov/releases/h10/.
- Federal Reserve Bank of St. Louis FRED (historical FX data): fred.stlouisfed.org/categories/15.
Reviewed by the CalculatorHub team, edited by James Graham, 15 June 2026. See our methodology.