Bond Accrued Interest Calculator

Enter the face value, coupon rate, days since the last coupon and period length to get the accrued interest.

How it is calculated

The coupon rate is entered as an annual percentage. The tool infers how often the bond pays from the coupon period length: about 365 days means annual, about 182 days semi-annual, about 91 quarterly and about 30 monthly (each within roughly 6%). For those cases accrued = face × (rate / 100) / n × (days since / period days), where n is the number of coupons per year. For any other period length it uses accrued = face × (rate / 100) × days since / 365. If you leave the period blank it assumes 365 days. Days since the last coupon cannot exceed the period by more than one day, and the period must be above zero; otherwise there is no result. The answer is a straight-line (actual-day) accrual in dollars; day-count conventions such as 30/360 can differ slightly.

Worked example

A bond has a face value of 1,000, a 6% annual coupon and a 182-day coupon period, so it pays semi-annually (n = 2). One coupon is 1,000 × 0.06 / 2 = 30. Sixty days have passed since the last coupon, so the accrued share is 60 / 182 = 0.3297 of that coupon. 30 × 0.3297 gives an accrued interest of $9.89, which is added to the clean price at settlement.

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Common mistakes

  • Entering the per-coupon rate (for example 3% for a semi-annual 6% bond). The field expects the annual rate and divides by the payment frequency itself, so a semi-annual rate would halve the answer twice.
  • Typing the days remaining until the next coupon in the "days since" field. The field counts days elapsed since the last coupon.
  • Entering the whole bond life or days to maturity as the period. The period is only the length of one coupon interval, for example 182 days.
  • Leaving the period empty on a semi-annual bond. It then defaults to 365 days, which treats the bond as annual-pay and gives a different figure (about $9.86 instead of $9.89 in the example).
  • Entering days since that are longer than the coupon period. Anything more than one day beyond the period returns no result instead of a capped value.

About this calculator

This calculator computes a bond's accrued interest — the interest that has built up since the last coupon payment but hasn't been paid yet — using Accrued Interest = Face Value × (Annual Coupon Rate ÷ Payments per Year) × (Days Since Last Coupon ÷ Days in Coupon Period). The payment frequency is read from the period you enter: about 365 days is annual, 182 semi-annual, 91 quarterly and 30 monthly.

Bonds trade at a clean price (quoted price, excluding interest) plus accrued interest to arrive at the dirty price actually paid at settlement — this way, a seller who held the bond for part of the coupon period is compensated for the interest earned before the trade, and the buyer only pays for interest going forward. Bond traders and back-office settlement systems calculate this figure on every fixed-income transaction between coupon dates.

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