What This Calculator Estimates
This calculator estimates the fair price of a bond today by discounting its future coupon payments and face value repayment back to present value using the current market interest rate (yield). It is useful for comparing bonds or checking whether a bond is trading above or below face value.
Formula / Method Used
Bond Price = Coupon × [(1 − (1 + r)^−n) / r] + Face Value / (1 + r)^n, where Coupon is the annual coupon payment (face value × coupon rate), r is the market yield, and n is years to maturity.
Worked Example
A $1,000 face value bond with a 5% coupon rate, a 6% market yield, and 10 years to maturity produces an estimated price of roughly $926 — trading below face value because the market yield is higher than the bond's own coupon rate.
How to Interpret the Result
If the estimated price is below face value, the bond is trading at a discount, usually because market rates rose above the coupon rate. If it's above face value, the bond is trading at a premium. Use this to judge whether a quoted bond price looks reasonable relative to current rates.
Common Mistakes
- Confusing coupon rate with market yield — they are rarely the same number.
- Ignoring accrued interest when comparing to a real quoted bond price.
- Assuming bond price stays fixed regardless of interest rate changes.
- Using annual compounding when the bond actually pays semi-annually.
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Frequently Asked Questions
What does this bond calculator estimate?
It estimates the fair price of a bond today based on its face value, coupon rate, market interest rate (yield), and years to maturity.
Why is bond price different from face value?
Bond price moves opposite to market interest rates. If market rates rise above the bond's coupon rate, the bond typically trades below face value, and vice versa.
Does this include accrued interest or fees?
No. This is a simplified clean price estimate and does not include accrued interest, broker fees, or tax treatment.
What is the coupon rate?
The coupon rate is the fixed annual interest rate the bond pays on its face value, set when the bond is issued.
When should I recalculate the price?
Recalculate whenever market interest rates change or as the bond gets closer to its maturity date.
Last updated: July 2026