Bond Price and Yield Calculator
Use the Bond Price and Yield Calculator with your own values for Calculation mode, Face value, Annual coupon rate, Payments per year, Years to maturity, Annual yield, Market price, Sale price, and Holding periods. It reports Annual coupon payment, Bond price, Yield to maturity, Current yield, and Holding-period yield, shows the formula and worked example, and does not fetch live market or account data.
Learn the method: step-by-step examples and practice ↓
Calculate, then understand
Step-by-step learning lab
Identify whose cash flow this is and when it occurs. Enter the given values, then follow the calculation as each number changes.
Bond required return: add three components
An exercise gives a real risk-free rate, expected inflation, and a risk premium. Which required return should discount the bond?
When to use it and why it works
The investor lends money today and asks to be compensated for waiting, lost purchasing power, and risk. The textbook adds these components on the same annual basis.
k = r_real + π_expected + RP
Work through an example
Real risk-free 2%, expected inflation 3%, risk premium 1%.
Read this example’s explanation
2+3+1=6%; all components are in percentage points.
Your calculated answer
- Nominal risk-free component (additive model)
- 5%
- Required return / discount rate
- 6%
Follow each step
Add expected inflation to the real return
2 + (3) = 5Add the risk premium
5 + 1 = 6
Intermediate calculations retain precision; displayed values are rounded. Follow the precision requested by your question.
What the result means
This is the required return under the exercise’s assumptions and can discount matching annual cash flows. It is separate from the coupon promised by the issuer.
Mistakes to watch for
- This is the textbook additive model, not the exact compounded Fisher relation. Do not add inflation again to a nominal risk-free rate.
Try another question on your own
Change to real risk-free 1%, inflation 2%, and risk premium 2%.
Set up the formula first. Answers rounded to two decimals are accepted; use six decimals for absolute values below 0.01. For percentages, enter the number before the percent sign.
How to use this calculator
Enter Calculation mode, Face value, Annual coupon rate, Payments per year, Years to maturity, Annual yield, Market price, Sale price, and Holding periods.
Review the model boundary before calculating: The model excludes credit, liquidity, tax, call, put, and reinvestment risks.
Read Annual coupon payment, Bond price, Yield to maturity, Current yield, and Holding-period yield, then compare the result with the cited source and governing product terms.
Formula
Formula used: P = Σ C / (1 + y/m)^t + FV / (1 + y/m)^N; CY = Cannual / Pmarket. Percentages are converted to decimals before calculation.
Worked example
Example: with Face value = 1,000, Annual coupon rate = 5%, Annual yield = 6%, and Years to maturity = 5, the calculated Bond price is 957.88.
Assumptions and limits
- The model excludes credit, liquidity, tax, call, put, and reinvestment risks.
- Yield to maturity is a numerical estimate based on the entered cash flows and assumptions.
- This educational estimate is not investment, tax, accounting, or legal advice.
Sources
- Financial Industry Regulatory Authority: Bond Yield and ReturnCoupon income, current yield, yield to maturity, and bond return concepts. Reviewed 2026-08-24.
- OpenStax, Rice University: Principles of Finance 2e — Bond ValuationOfficial formula or method source used by this calculator. Reviewed 2026-08-24.
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Verification
How this calculator is checked
Trust comes from reproducible evidence, not model confidence. You can inspect the formula, assumptions, worked example, and cited sources on this page.
- Versioned calculationFormula logic is kept separate from the interface and covered by automated registry and behavior checks.
- Cited evidenceSources linked for independent checking: 2.
- Transparent AI useAI may assist drafting or adversarial review. Agreement between models is not proof, and no human expert review is claimed unless a named reviewer is shown.
Frequently asked questions
How does the Bond Price and Yield Calculator work?
Formula used: P = Σ C / (1 + y/m)^t + FV / (1 + y/m)^N; CY = Cannual / Pmarket. Percentages are converted to decimals before calculation.
What should I enter in the Bond Price and Yield Calculator?
Enter Calculation mode, Face value, Annual coupon rate, Payments per year, Years to maturity, Annual yield, Market price, Sale price, and Holding periods using one consistent currency and time basis.
What should I verify before using the Bond Price and Yield Calculator result?
Verify these limits: The model excludes credit, liquidity, tax, call, put, and reinvestment risks. Yield to maturity is a numerical estimate based on the entered cash flows and assumptions. This educational estimate is not investment, tax, accounting, or legal advice.
Last updated 2026-08-25 · fixed-coupon-periodic-price-yield-v1 · content-2026-08-24 · Published by YunFanLabs