Future ValueCALCULATOR
Calculation methodology
Value coupons and redemption

Bond Present Value Calculator

Estimate a bond’s price on a coupon date by discounting each remaining coupon and its redemption value. Yield is nominal annual with matching coupon frequency. Accrued interest and settlement adjustments are excluded.

Your assumptions

Editable example
Formatting only. Values are not converted.
How the calculation works
Example result

Bond present value

$1,000.00

Based on your inputs · a scenario, not a promise

Coupon per period$25.00
Discounted redemption$610.27
View methodology

Show calculation & assumptions

Price = Σ coupon / (1 + yield/m)^k + face / (1 + yield/m)^N

  • Hypothetical constant-rate calculation; no guaranteed return.
  • Currency changes formatting only. No conversion is performed.
  • Valuation on a coupon date immediately after a coupon. Whole remaining coupon periods. No accrued interest, call features, default risk adjustment or clean/dirty settlement calculation.
View the calculation breakdown

Full-precision calculations; displayed values are rounded. Year values may include fractions.

Calculation breakdown
Coupon periodCoupon + redemptionDiscounted value
12524.3902
22523.7954
32523.215
42522.6488
52522.0964
62521.5574
72521.0316
82520.5187
92520.0182
102519.53
112519.0536
122518.5889
132518.1355
142517.6932
152517.2616
162516.8406
172516.4299
182516.0291
192515.6382
201,025625.5277
Calculated in your browser No signup required Transparent formulas

A bond is a series of coupons plus redemption

A plain fixed-coupon bond pays coupon cash flows and returns its face value at the final period under the modeled assumptions. Each payment is discounted separately. A nominal annual coupon rate is divided by coupons per year to obtain a periodic coupon amount. Yield uses the same matching frequency.

The par-price check

When coupon rate equals yield under identical frequency conventions and valuation is on a coupon date, the price equals face value. A $1,000 face-value bond with a 5% coupon and 5% matching nominal yield prices at $1,000. Changing the yield while keeping coupons fixed changes their discounted value.

Coupon-date scope matters

This tool assumes valuation immediately after a coupon with whole remaining coupon periods. It does not calculate accrued interest, clean versus dirty settlement prices, call options, day-count fractions or credit losses. A traded quote between coupon dates can therefore differ without implying an arithmetic mistake.

Questions about this calculation

How can I check the inputs behind the result?

Open “Show calculation & assumptions” for the formula and timing conventions, then inspect the breakdown. Export CSV to keep the last calculated inputs and numerical results together.

Does this include taxes or changing market returns?

No tax calculation or variable market-return path is included. The task-specific assumptions above describe the scope. Calculated values are conditional on the inputs, not personalized recommendations.

Learn more

Choose your next readContinue from the question you haveThe route changes the guide link, not your calculator inputs.

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Calculation methodology and numerical conventions

Use these figures to explore assumptions. Actual interest, returns, fees, taxes and purchasing power can differ.