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    Bond Calculator

    Value a fixed-rate coupon bond traded on the coupon date. Enter face value, coupon rate, maturity and either the market yield (to price the bond) or the market price (to solve the yield to maturity iteratively), with a full cash-flow discounting table.

    #bond price#bond yield#coupon#yield to maturity#face value

    TheCalculators — Bond Calculator

    Printed thecalculators.com

    Presets
    $
    %
    030
    years
    130
    % / yr
    040

    Required annual return used to discount the bond’s cash flows.

    $

    Used in "Yield" mode to back out the yield to maturity.

    Live mode: results update as you type.

    Bond Price

    97.3270

    100 face · 5.00% coupon · 3.0 yr · 6.00% yield (annual coupons)

    Price per 100 Face
    97.3270
    Trading
    At a discount
    Coupon per Period
    5.0000
    Annual Coupon Income
    $5.00
    Current Yield
    5.137%
    Number of Periods
    3

    Pricing by discounting cash flows

    1. 1Coupon per period$100.00 × 5.00% ÷ 1 = 5.0000
    2. 2Discount rate per period6.00% ÷ 1 = 6.0000%
    3. 3Present valuePrice = Σ couponₜ / (1+r)^t + face / (1+r)^N — each future payment discounted back to today
    4. 4Why premium/discount?Coupon > yield → price above face; coupon < yield → price below face. Price converges to face at maturity.

    Cash flows and present values

    PeriodCouponPrincipalTotal Cash FlowPresent Value
    15.0000—5.00004.7170
    25.0000—5.00004.4500
    35.0000100.00105.000088.1600

    Most useful next

    Bond Price

    97.3270

    Formula

    Price = Σ C/(1+r)^t + F/(1+r)^N

    • • C = coupon payment per period (face × coupon% ÷ k)
    • • r = yield per period (annual yield ÷ k)
    • • N = periods to maturity (years × k)
    • • F = face value repaid at maturity

    Pro tips

    • • Bond prices move inversely to yields: when rates rise, existing lower coupons trade at a discount.
    • • Longer maturities amplify price sensitivity to rate changes (duration risk).
    • • The calculators assume fixed coupons and ignore credit risk, calls and liquidity.

    FAQ

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