Bond Pricing Calculator

Analyze coupon bonds with fast pricing outputs. Review clean price, duration, and convexity with confidence. See maturity and yield changes before making investment decisions.

Calculator Inputs

Use the form below to estimate bond value, coupon cash flow, clean price, dirty price, interest sensitivity, and yield-driven price movement.

Face Value

Annual Coupon Rate (%)

Market Yield (%)

Years to Maturity

Payments per Year

Redemption Value

Elapsed Coupon Period Fraction

Input tip: Use 0 for a zero-coupon bond. Set elapsed fraction to 0 when you want price estimates without accrued interest adjustments.

The calculator treats quoted yield and coupon frequency with the same compounding interval. Years to maturity may be decimal, and periods are rounded to the nearest payment interval.

Example Data Table

Face Value	Coupon Rate	Market Yield	Years	Payments/Year	Elapsed Fraction	Dirty Price	Clean Price	Modified Duration
$1,000.00	6.00%	5.00%	10	2	0.35	$1,077.95	$1,067.45	7.5725
$5,000.00	4.50%	5.25%	7	2	0.20	$4,782.68	$4,760.18	5.9018
$10,000.00	0.00%	4.80%	5	1	0.00	$7,910.31	$7,910.31	4.7709

Formula Used

Bond price equals the present value of future coupon payments plus the present value of redemption at maturity.

Coupon Payment = Face Value × Coupon Rate ÷ Payments per Year

Dirty Price = Σ [Coupon Payment ÷ (1 + Yield per Period)^t] + [Redemption Value ÷ (1 + Yield per Period)^N]

Accrued Interest = Coupon Payment × Elapsed Coupon Period Fraction

Clean Price = Dirty Price − Accrued Interest

Macaulay Duration = Σ [t × PV(Cash Flow)] ÷ Bond Price ÷ Payments per Year

Modified Duration = Macaulay Duration ÷ (1 + Yield per Period)

DV01 = Modified Duration × Dirty Price × 0.0001

Estimated % Price Change ≈ −Modified Duration × ΔYield + 0.5 × Convexity × (ΔYield)^2

These formulas support premium bonds, discount bonds, zero-coupon bonds, and sensitivity analysis for yield changes.

How to Use This Calculator

Enter the face value, coupon rate, market yield, and years to maturity.
Choose the payment frequency that matches the bond structure.
Set the redemption value, which is usually the face value for plain bonds.
Add the elapsed coupon fraction if you want clean price and accrued interest.
Press Calculate Bond Price to display results above the form.
Review dirty price, clean price, duration, convexity, and DV01 to assess interest-rate exposure.
Use the export buttons to save the calculation as CSV or PDF.

Frequently Asked Questions

1. What does this bond pricing calculator estimate?

It estimates dirty price, clean price, coupon cash flow, accrued interest, current yield, duration, convexity, DV01, and a quick price-change approximation for a 1.00% yield shift.

2. What is the difference between clean price and dirty price?

Dirty price includes accrued interest since the last coupon date. Clean price removes that accrued portion, making it easier to compare quoted bond values across different settlement points.

3. Can I use this for zero-coupon bonds?

Yes. Enter a coupon rate of 0. The calculator then values the bond using only the discounted redemption value at maturity.

4. What does duration tell me?

Duration measures price sensitivity to yield changes. Higher duration usually means a bond’s price reacts more strongly when market interest rates rise or fall.

5. Why is convexity useful?

Convexity improves price-change estimates when yields move materially. It adjusts the linear duration estimate and helps describe how bond sensitivity bends as rates change.

6. Which payment frequencies can I model?

The calculator supports annual, semiannual, quarterly, and monthly coupon schedules. Choose the one that matches the bond’s actual payment pattern.

7. What does elapsed coupon period fraction mean?

It represents how much of the current coupon period has already passed. A value of 0.50 means half the period has elapsed, which affects accrued interest.

8. Does this calculator replace full market quoting systems?

No. It is excellent for education, engineering economics, and scenario testing, but professional pricing workflows may require calendars, day-count conventions, call features, and settlement rules.