Bonds & Yields

Bond Duration-Convexity Sensitivity

Estimate a bond price change for a small parallel yield shift.

Your numbers

Sample inputs are illustrative. Changing currency changes labels only.

Your result

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How to use this calculator

  1. Enter current price, modified duration in years, convexity in years squared, yield change (percentage points).
  2. Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
  3. Read the result with the assumptions below. Export details or save a second scenario to compare your choices.

Formula and method

ΔP/P ≈ −modified duration×Δy + ½×convexity×Δy².

Assumptions and limitations

Second-order approximation for small parallel shifts; not exact repricing or suitable for optionality without appropriate measures.

Worked example

With current price = 1000, modified duration in years = 5, convexity in years squared = 30, yield change (percentage points) = 1, approximate price change is approximately -48.5.

What the result means

Positive yield changes usually reduce an ordinary fixed-rate bond’s price.

Common questions

How should I interpret approximate price change?

Positive yield changes usually reduce an ordinary fixed-rate bond’s price.

What should I check before using this result?

Second-order approximation for small parallel shifts; not exact repricing or suitable for optionality without appropriate measures.

Methodology and transparency

Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.