The Bond Accrued Interest Calculator determines the portion of a coupon payment earned by the bond seller up to the settlement date. For a $1,000 bond at 6% that is 90 days into a 180-day semi-annual period, the accrued interest is $30.00, making the dirty price $1,030.00. This figure is essential for any fixed-income trade, as it ensures the seller is fairly compensated for interest earned during their holding period.
Accrued Interest Formula and Mechanics
The calculation follows a straightforward proportional method:
Accrued Interest = Face Value x (Annual Coupon Rate / 100) x (Days Since Last Coupon / Days in Coupon Period)
The Face Value is the bond's par value (typically $1,000 for corporate bonds), Annual Coupon Rate is the stated interest rate, Days Since Last Coupon is how long the seller held the bond in the current period, and Days in Coupon Period is the total cycle length (180 for semi-annual, 365 for annual).
The dirty price (what the buyer actually pays) equals the clean price plus accrued interest. For the default example: $1,000 + $30.00 = $1,030.00. The daily accrual rate is $0.1644 per day ($1,000 x 0.06 / 365).
Worked Example: Corporate Bond Sale at 5%
An investor sells a $1,000 corporate bond with a 5% annual coupon, 45 days into a 180-day semi-annual period:
| Component | Calculation | Result |
|---|---|---|
| Accrued Interest | $1,000 x 0.05 x (45/180) | $12.50 |
| Dirty Price | $1,000 + $12.50 | $1,012.50 |
| Full Coupon | $1,000 x 0.05 x (180/365) | $24.66 |
| Daily Accrual | $1,000 x 0.05 / 365 | $0.1370 |
| Accrual Progress | 45/180 | 25.0% |
The buyer pays $1,012.50 total and will receive the full $24.66 coupon at the end of the period, effectively recovering $12.16 of their accrued interest payment.
When This Calculator Does Not Apply
This calculator is designed for standard fixed-rate coupon bonds. It does not apply to:
- Bonds traded flat (defaulted or in arrears) -- no accrued interest is exchanged; the clean price reflects recovery expectations.
- Floating-rate notes -- the coupon rate changes periodically based on benchmarks like SOFR, so a single annual rate is inaccurate.
- Zero-coupon bonds -- these pay no periodic interest; the return comes from buying at a discount to face value. Use a yield-to-maturity calculation instead.
