Forward Premium Calculator
Enter the spot rate, forward rate, and contract duration to instantly calculate the forward premium or discount, its annualized equivalent, forward points, and the implied interest rate differential between the two currencies. Switch the annualization basis between 360-day money market, 365-day actual, and 252-day trading-day conventions. The calculator also shows the theoretical forward rate implied by interest rate parity so you can check whether a quoted forward is fairly priced.
What is a forward premium?
A forward premium exists when the forward exchange rate of a currency pair is higher than the current spot rate. It means that the market expects the base currency to appreciate (or equivalently, the quote currency to depreciate) over the contract period. The forward premium is expressed as a percentage of the spot rate. When the forward rate is lower than the spot rate the situation is reversed and the base currency is said to be at a forward discount. Both outcomes are driven primarily by the interest rate differential between the two currency zones, a relationship formalized by covered interest rate parity.
How the forward premium is calculated
The raw forward premium is simply (Forward Rate - Spot Rate) / Spot Rate. To compare contracts of different durations on a common footing the result is annualized by multiplying by the number of days in the chosen year basis (360 for money markets, 365 for many bond markets) divided by the contract days. Forward points, which FX dealers often quote instead of outright rates, are the absolute rate difference multiplied by 10,000. For a spot rate of 1.1859 and a 90-day forward rate of 1.1885, the premium is (1.1885 - 1.1859) / 1.1859 = 0.219%, which annualizes to about 0.88% on a 360-day basis, and the forward spread is (1.1885 - 1.1859) x 10,000 = 26 pips.
Interest rate parity and the IRP forward rate
Covered interest rate parity (CIP) states that the forward exchange rate is fully determined by the spot rate and the interest rates of the two currencies: F = S x (1 + r_d x t) / (1 + r_f x t), where r_d is the domestic annualized rate, r_f is the foreign rate, and t is the tenor in years. If the forward rate quoted in the market deviates from this theoretical rate, a riskless arbitrage would be available, borrowing in the low-rate currency and lending in the high-rate currency while locking in the forward to convert back. In practice CIP holds tightly in developed markets because arbitrageurs close deviations quickly, though basis spreads can widen in periods of market stress.
Practical uses of forward premiums
Importers and exporters use forward contracts to lock in an exchange rate and remove currency uncertainty from future cash flows. A forward premium or discount tells a treasurer how much more or less they will pay relative to the spot rate today. Portfolio managers compare the forward premium to expected currency moves to decide whether to hedge. Traders use deviations between the market forward and the IRP-implied forward to identify potential carry trade or covered arbitrage opportunities. Understanding whether a forward is priced at a premium or discount also helps assess the relative attractiveness of cross-currency interest differentials.
Forward premium interpretation guide
| Condition | Meaning | Covered IRP implication | Typical tone |
|---|---|---|---|
| Forward > Spot | Base currency at forward premium | Domestic rate < Foreign rate | Positive |
| Forward < Spot | Base currency at forward discount | Domestic rate > Foreign rate | Negative |
| Forward = Spot | At par (no premium or discount) | Domestic rate = Foreign rate | Neutral |
| Large annualized premium (>5%) | Significant interest rate differential | Check for capital controls or credit risk | Caution |
| Negative forward points | Base currency at discount in pip terms | Carry trade may favor selling base | Negative |
Quick reference for reading forward premium and discount signals in currency markets.
Frequently asked questions
What is the difference between a forward premium and a forward discount?
A forward premium means the forward exchange rate is higher than the spot rate, so the base currency is expected (or priced) to be worth more in the future. A forward discount means the forward rate is lower than the spot rate. Under covered interest rate parity, the base currency trades at a forward premium when its domestic interest rate is lower than the foreign rate, and at a discount when it is higher.
How do I annualize a forward premium?
Multiply the raw percentage premium by the number of days in your year basis (360, 365, or 252) divided by the number of days in the contract. For example, a 90-day premium of 0.219% annualized on a 360-day basis is 0.219% x (360 / 90) = 0.876%. Different markets use different conventions: money markets typically use 360, government bond markets often use 365, and some equity desks use 252 trading days.
What are forward points (pips)?
Forward points are the absolute difference between the forward rate and the spot rate multiplied by 10,000. FX dealers often quote forward contracts as a spot rate plus or minus forward points rather than as an outright forward rate, because the points are smaller numbers and change more slowly. Positive forward points mean the base currency is at a premium; negative forward points mean it is at a discount.
Does a high forward premium mean the currency will definitely appreciate?
No. The forward rate is set to prevent riskless arbitrage (covered interest rate parity), not to forecast future spot rates. Empirically, the forward premium is a poor predictor of the subsequent change in the spot rate, a finding known as the forward premium puzzle or Fama puzzle. Currencies at a forward premium can easily depreciate in practice if factors other than interest differentials dominate.
What is covered interest rate parity?
Covered interest rate parity (CIP) is the no-arbitrage condition that links the spot rate, forward rate, and interest rates of two currencies. It states that the return from investing domestically must equal the return from converting to foreign currency, investing at the foreign rate, and locking in a forward to convert back. The formula is F = S x (1 + r_d x t) / (1 + r_f x t). If this equality breaks down, arbitrageurs can earn a riskless profit, so CIP tends to hold tightly in liquid markets.
Which annualization basis should I use?
Use 360 days for money market instruments such as treasury bills, certificates of deposit, and most FX forward contracts in interbank markets. Use 365 days for government bonds in markets that follow the actual/365 convention (such as the UK gilt market). Use 252 trading days for equity and variance swap markets. When comparing premiums across instruments, make sure you are using the same basis.