Forward Premium Calculator
Calculate the forward premium or discount between spot and forward exchange rates.
What Is a Forward Premium?
A forward premium occurs when the forward exchange rate for a currency is higher than its current spot rate. This indicates that the market expects the currency to appreciate over time. Conversely, a forward discount means the forward rate is lower than the spot rate, signaling expected depreciation.
This calculator computes the annualized forward premium or discount as a percentage, helping you quickly assess market expectations and compare currency contracts.
How the Forward Premium Is Calculated
The calculation compares the forward rate to the spot rate and annualizes the difference based on the contract's time period. The formula used is:
Forward Premium (%) = ((Forward Rate − Spot Rate) / Spot Rate) × (360 / Days to Maturity) × 100
A positive result indicates a premium (currency expected to strengthen). A negative result indicates a discount (currency expected to weaken). The 360-day convention is standard in foreign exchange markets.
How to Use the Calculator
- Enter the spot rate — the current exchange rate for immediate delivery.
- Enter the forward rate — the agreed exchange rate for a future date.
- Enter the number of days until the forward contract matures.
- Click calculate to see the annualized forward premium or discount.
Example Calculation
Suppose the current EUR/USD spot rate is 1.1000 and the 90-day forward rate is 1.1050.
Forward Premium = ((1.1050 − 1.1000) / 1.1000) × (360 / 90) × 100 = 1.82%
This means the euro is trading at a 1.82% annualized premium against the U.S. dollar over the 90-day period.
Understanding Your Results
The result tells you the annualized percentage difference between the forward and spot rates. A premium suggests the market expects the base currency to appreciate. A discount suggests expected depreciation.
Keep in mind that this is a market expectation, not a guarantee. Actual exchange rates may differ due to economic events, central bank actions, or shifts in market sentiment.
Common Mistakes to Avoid
- Using the wrong rate order — always place the forward rate first in the subtraction.
- Forgetting to annualize — a raw difference without time adjustment is not comparable across different contract lengths.
- Confusing premium with discount — a negative result is a discount, not a premium.
Practical Use Cases
- Corporate treasury — evaluate whether to hedge currency exposure using forward contracts.
- Forex traders — identify arbitrage opportunities or carry trade potential.
- Financial analysts — assess market expectations for currency movements.
- Students and researchers — understand interest rate parity and forward rate theory.
FAQ
What does a forward premium tell me?
A forward premium indicates that the market expects the currency to appreciate relative to another currency by the time the forward contract matures. It reflects interest rate differentials and market sentiment.
Can the forward premium be negative?
Yes. A negative forward premium is called a forward discount. It means the forward rate is lower than the spot rate, signaling expected depreciation of the currency.
Why is the result annualized?
Annualization allows you to compare forward premiums or discounts across different contract durations on a consistent basis. Without it, a 30-day premium would not be directly comparable to a 180-day premium.
Is the forward premium a guaranteed return?
No. The forward premium reflects market expectations based on current interest rates and economic conditions. Actual exchange rate movements may differ significantly from what the forward rate suggests.