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Forward Rate Calculator

Quick answer

f = (1+s₂)² ÷ (1+s₁) − 1: with 1-year spot 4% and 2-year spot 5%, the implied 1-year rate one year out is 6.01%.

  • Results update as you type.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the Forward Rate Calculator Calculates Results

Forward = (1 + s₂)^(t₂) ÷ (1 + s₁)^(t₁) − 1

A forward rate is the future short rate implied by today's spot curve. No-arbitrage fixes it: the two-year investment must match chaining one-year investments. Mathematically, the engine applies Forward = (1 + s₂)^(t₂) ÷ (1 + s₁)^(t₁) − 1. With a 4% one-year spot and a 5% two-year spot, the implied year-two one-year rate is (1.05)² ÷ 1.04 − 1 = 6.01% — what the market bets rates will do. Everything you enter stays in your browser, and the answer appears in the same units as your inputs the moment the figures are complete.

  1. 1

    Step 1

    Fill in each input field with your own data.

  2. 2

    Step 2

    The tool runs the formula Forward = (1 + s₂)^(t₂) ÷ (1 + s₁)^(t₁) − 1 on your figures.

  3. 3

    Step 3

    Review the result displayed on screen.

  4. 4

    Step 4

    Refine the inputs until the numbers fit your case.

Use Cases

Rate expectation analysis

Reading the curve's implied path

FRA pricing

Checking fair forward agreements

Swap valuation

Building floating legs from forwards

Steepener trade design

Comparing forwards across tenors

Common Mistakes

  • Averaging spot rates

  • Sign errors in the ratio

  • Ignoring day counts

FAQs

Are forward rates predictions?

They are break-evens, not forecasts: they show the path that equalizes strategies; expectations, term premium and risk all sit inside.

Where are forwards used?

FRAs, forward FX, floating-rate loan pricing and curve steepening trades all key off implied forwards.

What is the math behind the Forward Rate Calculator?

The Forward Rate Calculator applies Forward = (1 + s₂)^(t₂) ÷ (1 + s₁)^(t₁) − 1, where s₁ and s₂ are spot rates for the shorter and longer terms.

How do I know the result is right?

The Forward Rate Calculator uses the standard closed-form formula shown above; the accuracy depends only on the figures you supply.

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