Accrued Interest vs Paid Interest: What’s the Difference?

Accrued interest is interest that has built up over time but has not yet been paid; paid interest is the amount actually transferred to the lender or creditor. This calculator estimates accrued interest from a balance, annual interest rate, and elapsed days, so you can see how much has accumulated before a payment is made.

Formula

The calculator uses a simple-interest estimate with a 365-day year:

Accrued interest = balance × annual interest rate ÷ 100 × days accrued ÷ 365

• Balance is the principal or account balance on which interest accrues, in dollars ($).
• Annual interest rate is the stated yearly rate, entered as a percentage (%), not a decimal.
• Days accrued is the number of days the balance has been accruing interest.
• Accrued interest is the estimated unpaid interest, in dollars ($).

“Balance plus accrued interest” adds the estimate to the entered balance. It is not necessarily the amount needed to settle an account: actual payoff figures can depend on payment posting, fees, compounding, and the lender’s day-count method.

Worked Example

Using the calculator’s default inputs—$10,000 balance, 6% annual interest, and 30 days:

1. Convert the annual rate to a decimal: 6 ÷ 100 = 0.06.
2. Calculate the simple interest for a full year: $10,000 × 0.06 = $600.
3. Multiply by the portion of a 365-day year: $600 × 30 ÷ 365 = $49.315…
4. Round to cents: accrued interest is $49.32.
5. Add it to the balance: $10,000 + $49.32 = $10,049.32.

This is an estimate under the formula shown. It may differ from a statement even when the entered balance and rate appear to match.

Assumptions

• The rate stays fixed during the entered accrual period.
• The calculator treats the annual rate as a nominal rate and uses a 365-day year; it does not apply a separate monthly payment schedule.
• Interest is estimated as simple interest on the entered balance, rather than being added to the balance and itself earning interest.
• Fees, taxes, payment timing, rate changes, grace periods, and lender-specific rounding or day-count conventions are not included.

How Accrued and Paid Interest Differ

Accruing describes a process: interest accumulates as time passes while an interest-bearing balance is outstanding. Paying describes a transaction: money is applied to satisfy some or all of the interest due. The two amounts may be equal over a period, but they do not have to be.

For example, a loan may accumulate interest every day while requiring payments only once a month. Between payment dates, some interest has accrued but none may yet have been paid. When a payment arrives, the servicer applies it according to the account’s terms. A payment might cover accrued interest and part of principal, cover only part of the interest, or exceed the amount due. The exact allocation depends on the loan agreement and payment history.

Paid interest is often visible in account statements, transaction histories, or annual summaries. Accrued interest may appear as a separate figure, be included in a payoff quote, or be calculated only when a payment or other account event occurs. Labels and reporting periods vary, so check what dates a figure covers before comparing it with another number.

When the Distinction Matters

The difference matters whenever a balance is measured between scheduled payments or a financial transaction happens before the next regular payment date. A payoff amount, for example, may include interest accumulated since the last payment. In a bond sale, the buyer and seller may account for interest accrued since the last coupon date, while the next scheduled coupon payment goes to the holder specified by the bond’s terms. The precise settlement mechanics depend on the instrument.

For loans, accrued interest can also help explain why a balance does not fall by the full amount of a payment: some of the payment may first cover interest that has accumulated. If a payment is smaller than interest accruing over the same period, unpaid interest may remain. Whether and when unpaid interest is added to principal—often called capitalization—depends on the contract and applicable account rules; it should not be assumed from this estimate.

For savings accounts and other interest-bearing deposits, interest may accrue during a period but be credited or paid on a schedule. Accrued interest and credited interest therefore describe different points in the process. The account’s terms specify how the rate is calculated and when interest is posted.

Why a Statement May Show a Different Amount

This calculator uses a straightforward daily simple-interest estimate, not a universal lender formula. Financial products can use different conventions, and a small difference in dates or calculation method can change the result. Common causes include:

• Day-count convention: A contract may use a 360-day year, actual calendar days in a year, or another defined method.
• Compounding: If accrued interest is periodically added to the balance, later interest may be calculated on a larger amount.
• Changing balances or rates: Payments, withdrawals, new charges, and variable rates can mean the balance or rate was not constant throughout the period.
• Start and end dates: The account may count the payment date, settlement date, or other dates differently.
• Rounding and posting: Systems may round daily amounts or post interest on a schedule, producing a different total from one calculation on the final day.

For an exact account figure, use the creditor’s statement or request a dated payoff or interest calculation. Confirm the balance, rate, dates, and convention used. The calculator is most useful for understanding the relationship between the inputs, not replacing an official amount due.

Frequently Asked Questions

Is accrued interest the same as unpaid interest?
Usually, accrued interest is interest that has accumulated but has not yet been paid. Account terminology can vary, so check whether a quoted figure includes only interest accrued to date or other amounts as well.

Can accrued interest be paid?
Yes. A payment can be applied to interest that has accrued, subject to the account’s payment-allocation terms. A payment may cover all, part, or more than the accrued interest.

Does accrued interest increase the principal?
Not automatically in every account. Unpaid interest may remain separate or may be added to principal under specified conditions. This calculator does not model capitalization.

Why is my lender’s accrued interest different?
The lender may use a different day-count basis, compounding method, balance history, date convention, or rounding process. Compare the dates and assumptions, and ask the lender how the figure was calculated.

Is paid interest the same as principal repayment?
No. Interest is the charge for borrowing or the return earned on a deposit; principal is the underlying amount borrowed or deposited. A loan payment can be split between interest and principal.

Is this calculator a payoff quote?
No. It estimates simple interest from the inputs shown. A payoff quote may include additional accrued amounts or account-specific adjustments and should be obtained from the creditor.

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

Related

• Borrowing Power Calculator Using Home Equity
• Accrued Interest Paid? How It Works on a Loan
• Accrued Interest Paid on Purchases? How It Works

in bal | Balance | $ | 10000 | 0 | 100000000
in apr | Annual interest rate | % | 6 | 0.01 | 100
in days | Days accrued | days | 30 | 0 | 3650
out acc | Accrued interest | $ | bal * apr / 100 * days / 365 | 2
out tot | Balance plus accrued interest | $ | bal + acc | 2