Accrued Interest Entry: Formula and Journal Example

An accrued interest entry records interest that has built up but has not yet been paid or received by the reporting date. Use this calculator to estimate the accrued amount from principal, annual rate, and elapsed days; it returns the interest to record, plus the daily accrual and the adjusting-entry amounts.

Formula

The calculator uses simple interest for a partial period: accrued interest = principal × annual interest rate × days accrued ÷ 365. In symbols, I = P × (r ÷ 100) × d ÷ 365. Here, I is interest accrued in dollars, P is the principal in dollars, r is the annual rate entered as a percentage, and d is the number of accrued days. The rate is divided by 100 to convert a percentage to a decimal.

The daily output is P × (r ÷ 100) ÷ 365, and the adjusting-entry output repeats the accrued interest amount, because that is the amount posted on each side of the entry. This is a general 365-day estimate, not a universal contract convention. An agreement may use a 360-day year, actual calendar days, or another specified convention; use that convention when it applies.

Worked Example

With the defaults—$20,000 principal, an 8% annual rate, and 30 days—the arithmetic is:

1. Convert 8% to a decimal: 8 ÷ 100 = 0.08.
2. Multiply principal by the annual decimal rate: $20,000 × 0.08 = $1,600 per year.
3. Divide by 365 to find the estimated daily accrual: $1,600 ÷ 365 = $4.3836 per day.
4. Multiply by 30 days: $4.3836 × 30, using the unrounded daily amount, gives $131.51 rounded to cents.

The calculator therefore shows accrued interest of $131.51, daily accrued interest of $4.3836, and an adjusting-entry amount of $131.51 on each side. The daily figure is displayed to four decimal places, but the total is computed from the full formula, not from the displayed rounded daily figure.

Assumptions

• The principal and annual rate stay constant during the accrued period.
• Interest accrues evenly each day, using a 365-day denominator and simple interest.
• The calculation assumes the entered days are the complete accrual period; it does not determine a contract’s start date or day-count rule.
• It excludes fees, compounding, payments during the period, taxes, and other adjustments.

What an Accrued Interest Entry Records

Accrual accounting recognizes income and expenses in the period they are earned or incurred, rather than waiting until cash changes hands. At a reporting date, a business may owe interest on a loan even though the next payment date has not arrived. A lender may likewise have earned interest receivable that the borrower has not yet paid.

For a borrower recording interest expense, the usual adjusting entry is:

• Debit Interest Expense for the amount accrued.
• Credit Interest Payable for the same amount.

For a lender recording earned but unpaid interest, the typical entry is a debit to Interest Receivable and a credit to Interest Income. Account names can differ by chart of accounts, and the exact treatment depends on the entity’s accounting framework and circumstances. The key principle is that the debit and credit are equal, so the entry remains balanced.

When the cash payment is later made, the earlier payable or receivable is generally cleared as part of recording the payment. If the payment covers both previously accrued interest and a new period’s interest, the amounts need to be separated so the same interest is not recorded twice.

When to Use the Estimate

This calculation is useful for a basic month-end or year-end estimate when the principal, annual rate, and number of elapsed days are known. It can also help explain why the interest portion of an upcoming payment may include an amount earned or incurred before the payment date. It is not a substitute for a lender’s payoff statement, account ledger, or formal interest schedule.

For an actual journal entry, first establish the reporting cutoff and the applicable accrual period. Then check the loan or investment documents for the balance on which interest accrues, the rate, whether the rate is fixed or variable, and the day-count convention. Apply the relevant convention consistently and retain the calculation with the accounting records. If principal changed during the period, calculate each segment separately using its corresponding balance and days, then add the segments.

Common Errors and Limits

• Entering 8 instead of 0.08 in a hand calculation: When a rate is written as a percentage, divide by 100. The calculator does this conversion in its formula.
• Using the wrong balance: Interest may accrue on an outstanding principal balance, not necessarily the original amount borrowed. Check the balance applicable to each part of the period.
• Assuming every year has 365 interest days: Some agreements define the calculation differently. A 360-day basis or actual/actual convention can produce a different result.
• Rounding too early: Keep full precision through the calculation and round the final journal amount according to the relevant accounting practice.
• Confusing accrued interest with a payment: The entry recognizes an expense and liability, or income and receivable. It does not mean cash was paid or received on the reporting date.

The calculator also assumes simple interest throughout the period. If interest compounds, the principal changes, or payments are made mid-period, one multiplication may not represent the actual amount; split the timeline or use the governing schedule and terms.

Frequently Asked Questions

What is the journal entry for accrued interest?
For a borrower, it is commonly a debit to Interest Expense and a credit to Interest Payable. A lender commonly debits Interest Receivable and credits Interest Income. Both sides use the same accrued amount.

Is accrued interest a debit or a credit?
It depends on the account and whose books are being recorded. A borrower typically debits interest expense and credits interest payable; a lender typically debits interest receivable and credits interest income.

How do I calculate accrued interest for 30 days?
For a simple 365-day estimate, multiply principal by the annual rate as a decimal and by 30, then divide by 365. The agreement’s day-count method may differ.

Does accrued interest mean interest has been paid?
No. Accrued interest is recognized because it has been earned or incurred, even though payment may occur later. The cash transaction is recorded when it occurs.

Why does my lender’s amount differ from this calculator?
Possible reasons include a different day-count basis, a changing balance or rate, compounding, payment timing, or rounding rules. Check the statement and governing terms for the method used.

This result is an estimate for educational purposes; the lender’s disclosure gives the exact figures.

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in p | Principal | $ | 20000 | 0.01 | 100000000
in apr | Annual interest rate | % | 8 | 0.01 | 100
in days | Days accrued | days | 30 | 0.01 | 365
out int | Accrued interest | $ | p * (apr / 100) * days / 365 | 2
out day | Interest accrued per day | $ | p * (apr / 100) / 365 | 4
out adj | Adjusting entry debit and credit | $ | int | 2