AbraCalc

Forward Premium / Discount Calculator

Calculate the annualised forward premium or discount on a currency pair. A positive result means the foreign currency trades at a premium; a negative result means it trades at a discount.

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How to use this tool

  1. Enter spot exchange rate, forward exchange rate and contract length in the fields above.
  2. Results update instantly as you type โ€” or click Calculate.
  3. Read your annualised forward premium / discount and the full breakdown beneath it.

โš  This tool provides general estimates for education only and is not financial, tax or legal advice. Figures may not reflect your situation โ€” verify with a qualified professional.

Formula

Forward Premium = ((F โˆ’ S) / S) ร— (360 / d) ร— 100

Where F = forward rate, S = spot rate, d = days to maturity. A positive value is a premium on the foreign currency (it costs more forward); a negative value is a discount.

How it works

The forward premium (or discount) measures by how much a currency's forward exchange rate exceeds (or falls below) its spot rate, expressed as an annualised percentage. This is linked to interest rate differentials between two countries through covered interest rate parity: a currency with higher interest rates typically trades at a forward discount.

The 360-day convention is standard in money markets (some markets use 365 days). The sign convention here expresses the premium or discount on the foreign (quoted) currency relative to the domestic (base) currency.

Worked example

EUR/USD: spot 1.2500, 90-day forward 1.2600

  1. Spot rate S = 1.2500, Forward rate F = 1.2600, Days d = 90
  2. Absolute difference = 1.2600 โˆ’ 1.2500 = 0.0100
  3. Forward premium = (0.0100 / 1.2500) ร— (360 / 90) ร— 100
  4. = 0.008 ร— 4 ร— 100 = 3.20%

The EUR trades at a 3.20% annualised forward premium over USD, meaning EUR is expected to appreciate (or USD interest rates are higher than EUR rates).

Common mistakes to avoid

  • Using calendar days when the quote uses a 360-day year convention โ€” most forex forward calculations use 360-day years; using 365 days produces a slightly different annualized premium.
  • Interpreting a positive result as a premium on the domestic currency rather than the foreign currency โ€” the formula ((F-S)/S) x (360/d) measures the foreign currency's premium; a positive result means the foreign currency is at a forward premium.
  • Confusing forward points (pips added to spot) with the forward rate โ€” forward points must be added to (or subtracted from) the spot rate to obtain F before applying the formula.

Key terms

What is a forward premium?
A forward premium exists when the forward exchange rate of a currency is higher than its current spot rate, meaning the market expects that currency to appreciate (or the base currency to depreciate) over the contract period.
What is a forward discount?
A forward discount exists when the forward rate is lower than the spot rate. It implies the foreign currency is expected to weaken, often because it has higher domestic interest rates (per interest rate parity).
What is covered interest rate parity?
Covered interest rate parity states that the forward premium or discount should equal the interest rate differential between two countries, assuming no arbitrage and frictionless capital markets.
Why is 360 days used instead of 365?
The 360-day year convention (a 'banker's year') is standard in most money markets and forex forward pricing. Some markets (e.g., UK gilts) use 365. Using 360 here is conventional; always confirm the market convention when pricing real contracts.

Frequently asked questions

What does a forward premium mean in practice?
A forward premium on a currency means the market expects (or the interest rate differential implies) that the currency will be more expensive in the future. It reflects the higher interest rates in the base currency's country under covered interest parity.
How is forward premium related to interest rate differentials?
Under covered interest rate parity (CIP), the forward premium equals approximately the interest rate differential between the two countries. If Country A rates exceed Country B by 2%, Country A's currency should trade at a 2% forward discount.
What does a negative forward premium (i.e., a discount) indicate?
A negative result means the foreign currency trades at a forward discount โ€” it will cost fewer domestic currency units in the forward market than at spot. This typically reflects lower interest rates in the foreign country.

References & sources