Bond Duration & Price

When interest rates rise, bond prices fall — and duration tells you by how much. See the price–yield curve and the sensitivity that drives bond risk.

Bond Duration & PriceLive

interest-rate sensitivity

Controls

Presets

Coupon rate (%)

Yield to maturity (%)

Years to maturity

Face value ($)

A bond's price moves opposite to yields, and duration measures how much. Modified duration approximates the percent price drop for a 1% rise in yield — longer maturities and lower coupons mean higher duration and bigger swings. Educational tool, not financial advice.

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Data Inspector

Bond price$1000.00

Macaulay duration8.11 yr

Modified duration7.72

≈ price change / +1% yield-7.72%

Governing equation

D_{m o d} = \frac{D _{ma c}}{1 + y} = \frac{8.11}{1 + 0.05} = 7.72

Reading this result: Coupon equals yield, so the bond prices right at par — yet its 7.7-year modified duration still exposes it to rate swings.

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How it works

A bond's price is the present value of its coupons and face value. Duration measures interest-rate sensitivity: modified duration approximates the percent price change for a 1% move in yield. Longer maturities and lower coupons mean higher duration. Educational tool, not financial advice.

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Frequently asked questions

Is this bond duration calculator tool really free?▾

Yes. Bond Duration & Price runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.

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No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.

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How accurate are the results?▾

The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.