For informational purposes only. Not financial, investment, or tax advice. Results are estimates based on the inputs provided. Consult a qualified financial professional before making financial decisions.
Calculator tool
How this calculator works
Use the explanation to understand the formula, assumptions, and practical limits behind the calculator result.
How a Bond Price Is Built
A plain coupon bond is the present value of two cash-flow groups: the coupon payments and the face value repaid at maturity. The calculator discounts both at the market yield you enter.
Formula Used
Where:
- - face value
- - annual coupon rate
- - annual market yield
- - payments per year
- - total payment periods
- - coupon payment per period
Premium, Par, and Discount
| Relationship | Typical price result |
|---|---|
| Coupon rate is above market yield | Premium, price above face value |
| Coupon rate equals market yield | Par, price near face value |
| Coupon rate is below market yield | Discount, price below face value |
If market yields rise after a bond is issued, an older lower-coupon bond usually needs a lower price to compete with newer higher-yield bonds.
Worked Example
A 1,000 USD bond with a 5% annual coupon, 10 years to maturity, 6% market yield, and semiannual payments prices below par because the required yield is higher than the coupon rate.
The result panel separates the present value of coupons from the present value of face value, which is the useful visual split behind the total price.
What This Calculator Does Not Model
- Accrued interest between coupon dates
- Taxes, commissions, bid-ask spread, or call features
- Credit risk, liquidity risk, or default probability
- Inflation-linked principal changes
Use this as a plain fixed-coupon valuation estimate, not as a complete trading quote.
Related Calculators
Use the Present Value Calculator for a single future amount, the Interest Rate Calculator for implied lump-sum growth, and the Investment Calculator for contribution-based growth rather than bond pricing.
Frequently asked questions
Why does a bond price fall when market yields rise?
The bond's coupon payment is fixed. When new bonds offer higher yields, an older lower-coupon bond usually needs a lower market price so a buyer can earn a competitive return.
What is the difference between coupon rate and market yield?
The coupon rate determines the scheduled cash payment from face value. The market yield is the return investors currently require to value those future cash flows. They are equal only when the bond trades around par.
Does this calculator give yield to maturity from a market price?
No. This tool uses the market yield you enter to estimate price. It does not solve the reverse problem of finding yield to maturity from an observed market price.
Why can a real quote differ from this result?
Real trades can include accrued interest, transaction costs, bid-ask spreads, callability, taxes, liquidity, and issuer-specific credit risk. This page values a plain fixed-coupon bond only.
