Forward Premium Calculator
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A Forward Premium occurs when the forward exchange rate of a foreign currency is higher than its current spot exchange rate. Conversely, if the forward rate is lower than the spot rate, the currency trades at a Forward Discount. Forward premiums and discounts reflect interest rate differentials between two nations according to the Interest Rate Parity (IRP) theory.
Our free Forward Premium Calculator computes annualized percentage premiums or discounts for any currency pair using spot exchange rates, forward exchange rates, and time to maturity.
How to Calculate Forward Premium or Discount
The forward premium or discount is calculated as the percentage difference between the forward exchange rate and the spot rate, annualized based on the forward contract period.
Direct Quote Formula (Domestic Currency per 1 Foreign Currency):
Forward Premium / Discount (%) = [ ( Forward Rate - Spot Rate ) / Spot Rate ] × ( 360 / Days to Maturity ) × 100
Indirect Quote Formula (Foreign Currency per 1 Domestic Currency):
Forward Premium / Discount (%) = [ ( Spot Rate - Forward Rate ) / Forward Rate ] × ( 360 / Days to Maturity ) × 100
Sub-Formula Components:
- Spot Rate (S): Current market exchange rate for immediate currency settlement.
- Forward Rate (F): Agreed contractual exchange rate for settlement at a specified future date.
- Days to Maturity (t): Number of days remaining until forward contract settlement (e.g., 30, 90, 180, or 360 days).
- Positive Result (> 0%): Currency trades at a Forward Premium.
- Negative Result (< 0%): Currency trades at a Forward Discount.
Forward Premium & Interest Rate Parity Analysis
According to Covered Interest Rate Parity (CIRP), a currency with a lower nominal interest rate trades at a forward premium relative to a higher-interest-rate currency:
| Exchange Rate Condition | Market Valuation | Interest Rate Differential |
|---|---|---|
| Forward Rate > Spot Rate | Forward Premium | Foreign interest rate is lower than domestic interest rate. |
| Forward Rate = Spot Rate | Flat / Par | Domestic and foreign interest rates are identical. |
| Forward Rate < Spot Rate | Forward Discount | Foreign interest rate is higher than domestic interest rate. |
Step-by-Step Calculation Example
Suppose a corporate treasurer evaluates a 90-day currency forward contract for the Euro (EUR/USD) with the following rates:
- Current EUR/USD Spot Rate: $1.1000
- 90-Day Forward Rate: $1.1110
- Contract Period: 90 Days
Step 1: Calculate Unannualized Exchange Differential
Differential = ( $1.1110 - $1.1000 ) / $1.1000 = $0.0110 / $1.1000 = 0.0100 ( 1.00% )
Step 2: Annualize the Premium
Annualized Factor = 360 / 90 = 4.0
Annualized Forward Premium = 1.00% × 4.0 = 4.00%
Result Interpretation:
The Euro is trading at an annualized forward premium of +4.00% against the US Dollar over a 90-day forward horizon.
Frequently Asked Questions (FAQ)
What causes a currency to trade at a Forward Premium?
A currency trades at a forward premium when the issuing country has lower interest rates than the foreign counterparty country. Investors require a higher future exchange rate to compensate for earning lower interest income.
What is the difference between Covered and Uncovered Interest Rate Parity?
Covered Interest Rate Parity (CIRP) uses forward contracts to lock in risk-free exchange rates. Uncovered Interest Rate Parity (UIRP) relies on expected future spot rates without forward contract hedging.
Why do companies use Forward Contracts?
Multinational corporations use currency forward contracts to hedge against foreign exchange volatility, fixing exact future revenue or supply costs in their reporting currency.