Bond Convexity Calculator
ΔP ≈ −MD·Δy + ½·C·Δy²: with modified duration 4.21 and convexity 24.9, a +1% rate move prices −4.09%, not −4.21%.
- Formula and worked example included.
Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.
How the Convexity Calculator Calculates Results
Convexity measures the curvature of the bond price-yield relationship. It corrects duration's linear approximation, especially for large rate moves. The computation rests on ΔP% ≈ −ModDur × Δy + ½ × Convexity × Δy². A bond with modified duration 4.21 and convexity 24.9 facing a +1% yield move prices at −4.21% + 0.5 × 24.9 × 0.01² ≈ −4.09% — the convexity term claws back 0.12 points. Each input you type is substituted the instant you release the key, and the result is expressed in exactly the units or currency you chose.
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Step 1
Start with the primary figures the Convexity Calculator asks for.
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Step 2
Your values are substituted into ΔP% ≈ −ModDur × Δy + ½ × Convexity × Δy².
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Step 3
Read off the computed result.
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Step 4
Vary one input at a time to see its effect.
Use Cases
Large rate-shock pricing
Improving on duration for ±2%+ moves
Callable bond analysis
Detecting negative convexity zones
Portfolio construction
Barbells add convexity versus bullets
Risk reporting
Adding curvature to linear duration limits
Common Mistakes
Mixing signs
Stale convexity
Overkill for small moves
FAQs
Why is convexity valuable to investors?
When does convexity mislead?
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