Bond Accrued Interest Calculator

Use the Bond Accrued Interest Calculator with your own values for Day-count convention, Face value, Annual coupon rate, Clean price, Last coupon date, Trade / settlement date, Next coupon date, and Payments per year. It reports Accrued days, Coupon-period days, Accrued interest, and Dirty price, shows the formula and worked example, and does not fetch live market or account data.

Inputs

Instant calculation

Required
x ≥ 0.000001
%0 ≤ x ≤ 1000
x ≥ 0

Result

Instant calculation

Accrued days
64 days
Coupon-period days
365 days
Accrued interest
10.5205479
Dirty price
990.5205479

Calculate, then understand

Step-by-step learning lab

Identify whose cash flow this is and when it occurs. Enter the given values, then follow the calculation as each number changes.

Given days: 360-day annual basis

When an exercise already gives the accrued days, how much interest and full price does the buyer pay?

When to use it and why it works

The buyer will receive the next full coupon, so the seller is compensated for interest already earned. Calculate the period’s coupon, allocate it by time, and add it to the clean price.

AI = F × c × d/360; P_dirty = P_clean + AI

Work through an example

Use the given 63 days, face value 100, annual coupon 6%, clean price 96, and the 360-day annual basis. Find accrued interest and full price.

Read this example’s explanation

Annual coupon = 100×6% = 6; 6×63/360 = 1.05; 96+1.05 = 97.05.

Turn the question into inputs

The issuer calculates coupons on this amount. Keep face value and prices on the same position scale, such as per 100 face value.
Allowed range: ≥ 0.000001

Enter 6 for a 6% annual coupon. A semiannual payment contains half the annual interest.
Allowed range: ≥ 0 · ≤ 1000

The quoted amount before accrued interest. Add accrued interest to find the full settlement price.
Allowed range: ≥ 0

Enter the day count stated in the exercise. This mode does not derive it from dates or verify that the dates agree.
Allowed range: ≥ 0 · ≤ 360 · whole numbers

ACT means actual days; 30-day months means the exercise has already adjusted the count. Both use the supplied d without a second date calculation.

Your calculated answer

Accrued day count
63days
Day-count denominator
360days
Coupon matching the denominator
6
Accrued interest
1.05
Dirty / settlement price
97.05

Follow each step

  1. Use the given days without deriving calendar dates

    d = 63 = 63
  2. Calculate the coupon matching the denominator period

    100 × (6 ÷ 100) ÷ 1 = 6
  3. Find the elapsed fraction of the interest period

    63 ÷ 360 = 0.175
  4. Allocate interest earned while the seller held the bond

    6 × 63 ÷ 360 = 1.05
  5. Add accrued interest to the clean price

    96 + 1.05 = 97.05

Intermediate calculations retain precision; displayed values are rounded. Follow the precision requested by your question.

What the result means

Accrued interest belongs to the seller’s holding period. The full price adds that amount to the quoted clean price. Retain precision until the exercise’s final rounding step.

Mistakes to watch for

  • The exercise dates 2021-12-31 to 2022-03-05 do not imply 63 days: ordinary start-inclusive/end-exclusive counting gives 64, and the SSE trade-day model gives 65. Here 63 is a stated exercise input, not a calendar result.
  • The denominator is the exercise’s annual basis, not the actual length of the calendar year.
  • Use the same position scale for face value and price. Enter 6 for 6%, not 0.06, and do not round intermediate amounts to cents.

Try another question on your own

Try face value 200, annual coupon 6%, clean price 190, and 90 accrued days.

Set up the formula first. Answers rounded to two decimals are accepted; use six decimals for absolute values below 0.01. For percentages, enter the number before the percent sign.

How to use this calculator

Enter Day-count convention, Face value, Annual coupon rate, Clean price, Last coupon date, Trade / settlement date, Next coupon date, and Payments per year.

Review the model boundary before calculating: The selected day-count convention and governing market rules control the accrued-interest result.

Read Accrued days, Coupon-period days, Accrued interest, and Dirty price, then compare the result with the cited source and governing product terms.

Formula

Formula used: AI = FV × c × DCF; DCF_SSE = d_[start,trade] − d_Feb29 / 365; P_dirty = P_clean + AI. Percentages are converted to decimals before calculation.

Worked example

Example: with Face value = 100, Annual coupon rate = 8%, Clean price = 103.45, Last coupon date = 2022-01-01, and Trade / settlement date = 2022-03-05, the calculated Dirty price is 104.85273973.

Assumptions and limits

  • The selected day-count convention and governing market rules control the accrued-interest result.
  • Settlement must fall within the entered coupon period for a valid accrual.
  • Recheck dated source rules, product documents, and market conventions before relying on the result.

Sources

Related calculators

Verification

How this calculator is checked

Trust comes from reproducible evidence, not model confidence. You can inspect the formula, assumptions, worked example, and cited sources on this page.

Frequently asked questions

How does the Bond Accrued Interest Calculator work?

Formula used: AI = FV × c × DCF; DCF_SSE = d_[start,trade] − d_Feb29 / 365; P_dirty = P_clean + AI. Percentages are converted to decimals before calculation.

What should I enter in the Bond Accrued Interest Calculator?

Enter Day-count convention, Face value, Annual coupon rate, Clean price, Last coupon date, Trade / settlement date, Next coupon date, and Payments per year using one consistent currency and time basis.

What should I verify before using the Bond Accrued Interest Calculator result?

Verify these limits: The selected day-count convention and governing market rules control the accrued-interest result. Settlement must fall within the entered coupon period for a valid accrual.

Last updated 2026-08-25 · sse-actual-period-us-30-360-v1 · content-2026-08-24 · Published by YunFanLabs

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Editorial and AI policy