Accrued Interest

Accrued interest is interest that has built up on a debt but hasn't been paid yet. When a bond is bought between coupon dates, the buyer pays the seller the interest earned since the last coupon, on top of the quoted (clean) price.

Bonds pay coupons only once or twice a year, but interest is earned every day. So when you buy a bond halfway between payments, who gets the interest? The answer is accrued interest: the buyer compensates the seller for the days they held it. This entry explains how accrued interest is calculated and the difference between clean and dirty prices.

Category
Bonds and Interest Rates
Reading time
3 min
Also called
Accrued coupon, Dirty price, Clean price
Updated

Accrued interest in plain words

Accrued interest is interest generated on a debt over a period that hasn't yet been paid or received.1

Under accrual accounting, it is the interest incurred or earned in a reporting period regardless of when it's paid.1

For bonds, accrued interest and regular interest differ in timing: one has built up, the other is actually paid on coupon dates.2

How to calculate bond accrued interest, step by step

  1. Find the coupon

    Annual coupon ÷ payments per year. See Coupon Rate.

  2. Count days since last coupon

    Using the bond's day-count convention.

  3. Days in the coupon period

    E.g. about 182 for semi-annual.

  4. Accrued = coupon × days ÷ period days

    The seller's share.

  5. Add to clean price

    Gives the dirty (invoice) price.

  6. Buyer gets full coupon

    On the next payment date.

Worked examples

Example 1 — Calculating accrued

$10

A $1,000 bond pays 6% semi-annually ($30). 60 days have passed in a 180-day period.

Example 1 — Calculating accrued — calculation
Accrued interest$30 × 60 ÷ 180 = $10

Accrued interest is the interest earned so far but not yet paid.1

Example 2 — Clean vs dirty price

$995 paid

Same bond quoted at $985 clean.

Example 2 — Clean vs dirty price — calculation
Clean price$985
Accrued+$10
Dirty price paid$995

The buyer pays the quoted price plus interest accrued to the seller. See Par Value.

Example 3 — Getting it back

$20 earned

120 days later the buyer receives the full $30 coupon.

Example 3 — Getting it back — calculation
Coupon received$30
Minus accrued paid−$10
Net interest for holding period$20

Each owner ends up with interest only for the days they held the bond. See Bond.

Clean price vs dirty price

AspectClean priceDirty price
Includes accrued interestNoYes
Used forQuotesActual payment
Jumps on coupon datesNoYes
Also calledFlat priceFull or invoice price

Where accrued interest matters

  • Bond trading

    Settling trades fairly. See Bond.

  • Accounting

    Recording interest earned or owed.

  • Loans

    Interest building up between payments.

  • Fund NAV

    Bond funds accrue interest daily. See Net Asset Value.

Advantages and disadvantages

Advantages

  • Fair split of interest between buyer and seller.
  • Clean quotes are comparable.
  • Matches income to the period earned.

Disadvantages

  • Adds complexity to trades.
  • Day-count conventions vary.
  • Easy to confuse clean and dirty prices.

Going deeper

Read as far as you need. Each level builds on the one before it.

Earned but unpaid

Beginner

The key idea: interest builds up daily but is paid only on set dates.1

Day-count conventions

Intermediate

Treasuries usually use actual/actual, many corporate bonds 30/360, which changes the accrued figure slightly. See Treasury Bills, Notes and Bonds.

Ex-coupon periods

Advanced

Some markets have ex-coupon periods where the buyer won't receive the next coupon, making accrued interest negative. See Ex-Dividend, Record and Payment Dates.

Common mistakes

  1. Ignoring accrued in cost

    You pay the dirty price.

  2. Mixing day-count rules

    Check the bond's convention.

  3. Treating accrued as profit

    It's a timing transfer.

  4. Comparing dirty and clean quotes

    Compare like with like.

Check your understanding

Test yourself before moving on. Each answer comes with an explanation.

Q1Semi-annual coupon $40; 45 of 180 days passed. Accrued interest?
Q2The price you actually pay for a bond is the…

Key points to remember

  1. Accrued interest is earned but not yet paid.
  2. Bond buyers pay it to sellers between coupons.
  3. Dirty price = clean price + accrued.
  4. Each holder keeps interest for their holding days.
  5. Day-count conventions matter.

Frequently asked questions

Is accrued interest taxable?

Rules vary; in the US, buyers often adjust for accrued interest paid on purchase.

Why quote clean prices?

So prices don't jump each coupon date, making comparison easier.

Does accrued interest apply to loans?

Yes, interest accrues daily on most loans between payments.

Further learning

Sources

This article is written in our own words. The sources below support the specific facts, rules and figures marked with a number in the text. Links open the original publisher’s page.

  1. Corporate Finance Institute. Accrued Interest (opens in a new tab) Checked .
  2. Corporate Finance Institute. Accrued Interest vs Regular Interest (opens in a new tab) Checked .

Educational content, not financial advice. Examples use hypothetical prices and simplified costs; actual fees, margin rules and regulations vary by broker, market and country. We are not affiliated with any publisher linked above. Last reviewed . Report an error or request a source credit.