justyourcalculatorBond Calculator
Price a bond from its yield, or find its yield from the price.
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Bond Calculator
Bond price from yield, or yield to maturity from price
Bond price
$92.56
Trades at a discount (92.561% of face)
- Coupon per payment
- $2.50
- Current yield
- 5.402%
- Macaulay duration
- 7.895 years
- Modified durationApproximate % price change for a 1-point yield move
- 7.665
- Convexity
- 71.785
Clean price on a coupon date (no accrued interest). Yields are quoted as annual rates compounded with each coupon.
How it was calculated
- Price = C × (1 - (1 + y)^-n) / y + F × (1 + y)^-n
- C = $2.50, y = 3%, n = 20, F = $100.00
- Price = $92.56
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How the bond calculator works
A bond's price is the present value of its coupons plus its face value at maturity, all discounted at the yield to maturity. When market yields rise above the coupon rate the price falls below face value (a discount); when yields fall below the coupon, the price rises (a premium).
Yield to maturity is the single rate that makes those discounted cash flows equal the price. It has no closed formula, so it is solved numerically. Duration measures how sensitive the price is to yield changes: a modified duration of 7 means about a 7% price drop if yields rise one percentage point.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
This is an educational estimate, not a lender quote, tax filing calculation or investment recommendation. Actual costs depend on current rules, fees and your circumstances. Verify important decisions with official sources and a qualified adviser.
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