Measure how a bond’s duration changes as yields move.
Please do not make financial decisions based on these results.
What is the Bond Convexity Calculator?
Measure how a bond’s duration changes as yields move. To use the Bond Convexity Calculator, enter face value, coupon rate, yield, years to maturity; it returns convexity, modified duration, and shows them instantly as you type.
Pricing bonds and testing credit
Price a bond with the Bond Price Calculator, solve for yield with the Bond YTM Calculator and measure rate risk with convexity and duration. If the bond is callable, compare yield to maturity with the yield to call.
On the credit side, combine Debt to Equity Calculator, interest coverage and the Altman Z-score. Together they show leverage, ability to pay and the odds of distress.
- Yields. Current yield, YTM, yield to call and bond-equivalent yield answer different questions.
- Coverage. DSCR, times interest earned and cash flow to debt show repayment capacity.
- Loss. LGD and credit spread translate risk into expected loss and extra yield.
How to use the Bond Convexity Calculator
- Enter your numbers. Start with Face value ($), Coupon rate (%), Yield (%), then fill in Years to maturity. Take the price, coupon and maturity from the bond’s listing. Fields marked optional can stay at zero.
- Read the result. The highlighted box gives the Convexity, and the cards below show Modified duration. Tables and charts break it down further.
- Test other scenarios. Results update as you type. Change one value at a time to see what drives the answer, and press Reset to go back to the defaults.
Formula and how it works
Example with real numbers
Here is the Bond Convexity Calculator using the default values shown in the calculator above:
Inputs
| Face value ($) | 1,000 |
|---|---|
| Coupon rate (%) | 5 |
| Yield (%) | 5 |
| Years to maturity | 10 |
Results
| Convexity | 75 |
|---|---|
| Modified duration | 7.72 |
With these inputs the calculator returns Convexity: 75. Change any value in the calculator to see how the result moves.
What the results tell you
The results panel of the Bond Convexity Calculator reports Convexity and modified duration. Compare these figures while changing one input at a time, and use the related calculators below to look at the same situation from another angle.
Method and limits. This calculator applies the formula in the section above to your inputs, in your browser; nothing you enter is stored on our servers. The result is only as accurate as the numbers you enter and the formula shown above. It is for information, not financial, tax or legal advice.
Frequently asked questions
Why does convexity matter?
It improves duration estimates, especially for large yield changes.
What do solvency ratios tell me?
Ratios such as debt to equity, interest coverage and the Altman Z-score show how safely a company can meet its debts.
Why do bond prices fall when rates rise?
New bonds pay the higher rate, so older, lower-coupon bonds must sell at a discount to match the market yield.
Are the results guaranteed?
No. Results depend entirely on the numbers you enter and the formulas shown on this page. Please do not make financial decisions based on them alone; confirm important figures with a licensed professional.
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