How to Calculate Forward Rate Using Spot Rate

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Forward Rate Calculator

360 Days 365 Days
Theoretical Forward Rate:

How to Calculate Forward Rate Using Spot Rate

In foreign exchange markets, the forward rate is the exchange rate at which a commercial bank is willing to commit to exchanging one currency for another at a specified future date. This rate is derived from the current spot rate and the interest rate differentials between the two currencies involved.

The Interest Rate Parity Formula

The calculation is based on the theory of Interest Rate Parity (IRP). For short-term contracts (less than one year), the formula for the forward rate (F) is:

F = S × [ (1 + (rd × (T / Basis))) / (1 + (rf × (T / Basis))) ]

Where:

  • F: Forward Rate
  • S: Current Spot Rate
  • rd: Domestic Interest Rate (the price currency)
  • rf: Foreign Interest Rate (the base currency)
  • T: Number of days until maturity
  • Basis: Day count convention (typically 360 or 365 days)

Step-by-Step Calculation Example

Suppose you want to calculate the 90-day forward rate for the EUR/USD pair with the following data:

  • Current Spot Rate (EUR/USD): 1.1000
  • USD Interest Rate (Domestic): 4.0% per annum
  • EUR Interest Rate (Foreign): 2.0% per annum
  • Time: 90 days
  • Basis: 360 days

Step 1: Calculate the domestic factor: 1 + (0.04 × (90/360)) = 1.01

Step 2: Calculate the foreign factor: 1 + (0.02 × (90/360)) = 1.005

Step 3: Divide domestic by foreign: 1.01 / 1.005 ≈ 1.004975

Step 4: Multiply by spot: 1.1000 × 1.004975 = 1.10547

The 90-day forward rate is 1.1055 (rounded).

Why the Forward Rate Matters

The forward rate is not a prediction of where the spot rate will be in the future. Instead, it is a mathematical adjustment that prevents arbitrage. If the forward rate were significantly different from the interest rate parity result, traders could borrow in one currency, convert to another, invest at the local rate, and lock in a guaranteed profit via a forward contract.

Forward Points

In professional trading, forward rates are often quoted in "points." Forward points are the difference between the forward rate and the spot rate (F – S). If the result is positive, the base currency is at a "forward premium." If negative, it is at a "forward discount."

function calculateForwardRate() { var spot = parseFloat(document.getElementById("spotRate").value); var domRate = parseFloat(document.getElementById("domesticRate").value) / 100; var forRate = parseFloat(document.getElementById("foreignRate").value) / 100; var days = parseFloat(document.getElementById("daysToMaturity").value); var basis = parseFloat(document.getElementById("dayBasis").value); var resultDiv = document.getElementById("forwardResult"); var resultSpan = document.getElementById("resultValue"); var pointsSpan = document.getElementById("forwardPoints"); if (isNaN(spot) || isNaN(domRate) || isNaN(forRate) || isNaN(days) || spot = 0 ? "+" : "") + points.toFixed(2); resultDiv.style.display = "block"; }

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