Quick answerA bond calculator estimates a bond's present value from its face value, coupon rate, time to maturity, payment frequency, and market yield. It can also solve for yield when a market price is known.
How a bond price is calculated
A conventional fixed-rate bond is a stream of coupon payments followed by repayment of principal at maturity. Each future cash flow is discounted at the market yield. Adding the discounted coupons and discounted face value produces the estimated clean price under the calculator's assumptions.
Price and yield move in opposite directions. When the market yield rises above the coupon rate, the fixed payments become less attractive and the bond generally trades below face value. When the market yield falls below the coupon rate, the price generally rises above face value.
Coupon rate, current yield, and yield to maturity
The coupon rate determines the annual cash payment as a percentage of face value. Current yield divides annual coupon income by the market price. Yield to maturity is broader: it reflects coupon payments, the purchase price, repayment at face value, and the remaining term.
These measures should not be used interchangeably. A discount bond can have a yield to maturity above its current yield because the investor may also gain when principal is repaid at face value. A premium bond can show the reverse.
How to use this bond & savings value calculator
- Choose bond price, yield to maturity, or fixed-rate savings value.
- Enter the terms stated by the bond or savings product.
- Review the result and the model assumptions before using it for a decision.
Formula and method
Coupon-bond calculations assume settlement on a coupon date, fixed coupons, and no call feature or default. The savings mode is not an official Series I or EE redemption calculator.
Bond pricing example
Consider a $1,000 bond with a 5 percent annual coupon, paid twice a year, five years remaining, and a 6 percent market yield. Each semiannual coupon is $25, while each six-month discount rate is 3 percent.
Discounting ten coupon payments and the $1,000 maturity value produces a price below $1,000 because the bond pays less than the current market yield. The precise price can differ from a broker quote when accrued interest, settlement date, call features, taxes, or day-count rules are included.
Bond price and yield: a numerical example
Enter face value $1,000, annual coupon 5%, yield to maturity 6%, ten years and semiannual payments. Each coupon is $25 and each discount period uses 3%. Discounting 20 coupons plus the maturity principal gives a price of about $925.61.
The price is below face value because the coupon rate is below the required yield. If yield were 5% with the same other inputs, the price would be $1,000. In yield mode, entering the unrounded price from the first calculation gives approximately 6%; a rounded market price can cause a small difference.
Which savings bonds can this calculator value?
The savings mode projects a known, unchanged annual rate. It does not determine an official Series I or Series EE redemption value from an issue date. For paper savings bonds, use the TreasuryDirect paper savings bond calculator. For electronic holdings, check the value in your TreasuryDirect account.
Bond price here assumes regular coupon periods and settlement on a coupon date. Accrued interest, call provisions, changing rates and default are outside that model. An estimate that differs from a trading quote therefore needs its assumptions checked before either number is treated as comparable.
For a certificate of deposit quoted as APY or nominal APR, use the CD interest calculator. It separates principal from projected interest at maturity.
Common mistakes to avoid
- Entering the coupon rate where the market yield belongs.
- Forgetting that semiannual payments split both the coupon and yield periods.
- Comparing a clean-price estimate with a quote that includes accrued interest.
- Applying a plain-vanilla bond model to callable, inflation-linked, or floating-rate securities.
Accuracy and practical limits
The model is appropriate for fixed coupons and a single maturity value with regular payment periods. It assumes reinvestment consistent with yield-to-maturity logic and excludes default risk, accrued interest, taxes, fees, embedded options, and changing market rates.
Primary references: Official U.S. savings-bond values and current rules: TreasuryDirect.
Frequently asked questions
Can this value a U.S. Series I bond exactly?
No. I-bond values depend on issue date, composite rates, inflation adjustments, and redemption rules. Use TreasuryDirect for an official value.
What is yield to maturity?
It is the single discount rate that equates the entered price with scheduled coupons and principal, assuming payments occur and are reinvested at that rate.
Why can price differ from face value?
When required yield differs from the coupon rate, future cash flows are discounted to a premium or discount.