Personal finance learning tool
Bond Convexity Price Change Calculator
Estimate bond-price response to a yield change using both modified duration and convexity.
Inputs and results stay in this browser. Currency symbols are illustrative; use any consistent currency.
Understand Bond Convexity Price Change
One idea, three depths
Choose how deeply to explain Bond Convexity Price Change
Bond Convexity Price Change: Estimate bond-price response to a yield change using both modified duration and convexity.
Age 5Explain it to a 5-year-oldStart with a picture
Imagine using Bond Convexity Price Change to answer this question: estimate bond-price response to a yield change using both modified duration and convexity? Enter Current bond price, Modified duration, Convexity, and 1 other input; the calculator shows Estimated bond price after yield change. Try changing one number and watch what happens to Estimated bond price after yield change. The answer tells you Estimated bond price after yield change.
Age 15Explain it to a 15-year-oldConnect it to the formula
Duration-convexity is a local approximation and does not capture credit spread, calls or large curve-shape changes. The rule is Price change ≈ −duration × yield change + 0.5 × convexity × yield change squared. Its input values are Current bond price, Modified duration, Convexity, Yield change in percentage points (%), and the main result is Estimated bond price after yield change. Try changing one number and watch what happens to Estimated bond price after yield change.
CollegeExplain it at college levelState the model precisely
This calculator evaluates a personal-finance model from stated cash amounts, rates and time assumptions. The implemented relation is Price change ≈ −duration × yield change + 0.5 × convexity × yield change squared, evaluated from Current bond price, Modified duration, Convexity, Yield change in percentage points (%) to produce Estimated bond price after yield change. Duration-convexity is a local approximation and does not capture credit spread, calls or large curve-shape changes. The result cannot predict markets or include unentered taxes, fees, legal rules, benefits, insurance terms or personal circumstances. Verify material decisions against current documents.
What this personal finance tool does
Estimate bond-price response to a yield change using both modified duration and convexity.
Why the relationship works
Duration-convexity is a local approximation and does not capture credit spread, calls or large curve-shape changes.
The formula
Price change ≈ −duration × yield change + 0.5 × convexity × yield change squared
Inputs and time periods
This model uses Current bond price, Modified duration, Convexity, Yield change in percentage points. Keep currencies and time periods consistent, and distinguish current known amounts from assumptions about future rates.
What the result means
The primary output is Estimated bond price after yield change; supporting outputs include Estimated bond price change, Duration-only price change. Compare scenarios by changing one input at a time.
Limits of this compact model
This educational calculator cannot predict markets or account for every tax, fee, legal rule, benefit, insurance policy or personal circumstance. Verify material decisions with current documents and qualified advice.
Supporting sourcesAcademic referencesPrimary standards, textbooks and complete citations
Standards, reading and academic references
Use the calculator as the worked interaction, then consult the primary standards and academic textbooks listed below. MW SysArc links to the original sources; the explanation on this page is original and does not reproduce them.
Principles of Finance
Read the free OpenStax finance textbookCite this book
- APA 7
- Dahlquist, J., & Knight, R. (2022). Principles of finance. OpenStax. https://openstax.org/books/principles-finance/pages/1-why-it-matters
- MLA 9
- Dahlquist, Julie, and Rainford Knight. Principles of Finance. OpenStax, 2022, https://openstax.org/books/principles-finance/pages/1-why-it-matters.
- Chicago author-date
- Dahlquist, Julie, and Rainford Knight. 2022. Principles of Finance. Houston, TX: OpenStax. https://openstax.org/books/principles-finance/pages/1-why-it-matters.
OpenStax entries are free to read online. Follow the licence shown on each linked source before redistributing or adapting its content.
Reuse the page responsiblyCite this pageAPA, MLA, Chicago, Harvard, BibTeX and RIS
These formats cite this calculator page itself. They are separate from the academic references above, which support the mathematical method and terminology.
APA 7
MW SysArc. (2026, July 21). Bond Convexity Price Change Calculator. MW SysArc Tools. https://finance.mwsysarc.com/bond-convexity-price-change
MLA 9
MW SysArc. “Bond Convexity Price Change Calculator.” MW SysArc Tools, 21 July 2026, https://finance.mwsysarc.com/bond-convexity-price-change. Accessed 31 Aug. 2026.
Chicago 17
MW SysArc. “Bond Convexity Price Change Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://finance.mwsysarc.com/bond-convexity-price-change.
Harvard
MW SysArc (2026) ‘Bond Convexity Price Change Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://finance.mwsysarc.com/bond-convexity-price-change (Accessed: 31 August 2026).
BibTeX and RIS records
BibTeX
@misc{mwsysarc_bond_convexity_price_change_2026,
author = {{MW SysArc}},
title = {Bond Convexity Price Change Calculator},
howpublished = {MW SysArc Tools},
year = {2026},
url = {https://finance.mwsysarc.com/bond-convexity-price-change},
note = {Published July 21, 2026; accessed August 31, 2026}
}RIS
TY - ELEC
AU - MW SysArc
TI - Bond Convexity Price Change Calculator
T2 - MW SysArc Tools
PY - 2026
DA - 2026-07-21
Y2 - 2026-08-31
UR - https://finance.mwsysarc.com/bond-convexity-price-change
N1 - Published July 21, 2026
ER -Clear answers
Frequently asked questions
What does the Bond Convexity Price Change do?
Estimate bond-price response to a yield change using both modified duration and convexity.
How does the Bond Convexity Price Change work?
The calculator applies Price change ≈ −duration × yield change + 0.5 × convexity × yield change squared. Duration-convexity is a local approximation and does not capture credit spread, calls or large curve-shape changes.
What can I learn from the Bond Convexity Price Change?
You will connect Current bond price, Modified duration, Convexity, Yield change in percentage points to Estimated bond price after yield change, then test how changing one assumption affects the financial decision.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the result as a planning reference, and review how income, expenses, irregular payments, rates and time periods were classified before making decisions.
Last reviewed . Calculations tested .