Interest Per Day Calculator
Daily interest with proper day-count conventions — Actual/365, Actual/360, and 30/360 — plus a reverse mode that finds the annual rate from a daily interest amount.
…or enter dates below and the day count is derived automatically.
Formula
Divisor = 365 for Actual/365, 360 for Actual/360 and 30/360.
Total for period = Daily interest × Number of days.
Reverse: Annual rate = Daily interest × Divisor ÷ Principal × 100.
Worked examples
| Case | Per day | Period total |
|---|---|---|
| $10,000 @ 12%, Actual/365, 90 days | $3.2877 | $295.89 |
| $10,000 @ 12%, Actual/360, 1 day | $3.3333 | $3.3333 |
| $10,000 @ 12%, 30/360, 45 days | $3.3333 | $150.00 |
| $200,000 @ 4%, Actual/365 (mortgage per diem) | $21.9178 | — |
Why the convention matters
Actual/360 makes daily interest about 1.39% higher than Actual/365 for the same quoted rate (365/360 = 1.0139). Bridging and commercial loans usually specify Actual/360, so always check your loan agreement.
Disclaimer: This calculator provides estimates for educational purposes only and is not financial advice. Actual charges depend on your contract's exact day-count convention, rounding, and fees — confirm with your lender.
Frequently asked questions
How do you calculate interest per day?
Daily interest equals principal multiplied by the annual rate, divided by the year divisor of your day-count convention: P × r ÷ 365 for Actual/365, or P × r ÷ 360 for Actual/360 and 30/360. For example, $10,000 at 12% under Actual/365 accrues $3.2877 of interest per day.
What is the difference between Actual/365 and Actual/360?
Actual/365 divides the annual rate by 365 calendar days, while Actual/360 divides it by 360, which makes daily interest about 1.39% higher. Actual/365 is common for consumer loans and mortgages; Actual/360 is the money-market convention used for many commercial and bridging loans.
What is the 30/360 day-count convention?
30/360 assumes every month has 30 days and the year has 360 days, simplifying bond and fixed-income interest math. For an explicit day count it behaves like Actual/360 (divide by 360), but when you enter start and end dates, days are counted on a 30-day-month basis with the standard US (NASD) end-of-month adjustments.
Does Actual/365 use 366 days in a leap year?
No. Actual/365 (fixed) always divides by 365, even in a leap year, so a full 366-day leap year accrues slightly more than one year's worth of interest. The ISDA Actual/Actual convention is different: it uses 366 for days falling in a leap year, so a full leap year accrues exactly the annual rate amount.
What is per diem interest?
Per diem interest is simply interest charged per day, the same thing this calculator computes. The term is most common in mortgages, where per diem interest accrues from the loan funding date until the first payment date, and is often collected at closing.
How do I find the annual rate from a daily interest amount?
Rearrange the formula: annual rate = daily interest × divisor ÷ principal × 100. For example, $5 of daily interest on a $20,000 balance under Actual/365 means a rate of $5 × 365 ÷ $20,000 × 100 = 9.125% per year. Use the reverse mode above to compute it.
How much interest per day on $10,000 at 12%?
$3.2877 per day under Actual/365 ($10,000 × 0.12 ÷ 365) or $3.3333 per day under Actual/360 or 30/360 ($10,000 × 0.12 ÷ 360). Over 90 days that totals $295.89 under Actual/365.
Is daily interest simple or compound?
This calculator uses simple (non-compounding) daily interest: each day accrues the same amount on the original principal. That matches bridging loans, late-payment charges, and per-diem mortgage interest. If your product compounds daily, balances grow slightly faster — see our compound interest calculator for that case.
How is interest per day used for late payments?
Many contracts charge overdue balances at an annual rate applied per day, for example 12% per annum on the unpaid invoice amount. Enter the overdue amount as principal, the contract rate, the Actual/365 convention (the usual default), and the number of days late to get the late fee.
How do I convert a daily interest rate back to an annual rate?
Multiply the daily rate by the convention's divisor: daily rate × 365 for Actual/365, or × 360 for Actual/360 and 30/360. A daily rate of 0.0329% under Actual/365 equals 0.0329 × 365 = 12% per year.
Why do bridging loans use Actual/360?
Bridging and many commercial loans follow the money-market Actual/360 convention, which yields slightly higher daily interest than Actual/365 for the same quoted rate. On $100,000 at 8%, Actual/360 accrues $22.22 per day versus $21.92 under Actual/365 — always check which convention your loan agreement specifies.
Can I calculate interest between two dates?
Yes. Enter optional start and end dates and the calculator derives the day count for you: actual calendar days for Actual/365 and Actual/360, or 30-day-month counting (US/NASD rules) for 30/360. Leave the dates blank to enter the number of days directly.
Related calculators
- Compound Interest Calculator — growth with compounding
- Effective Interest Rate Calculator — nominal vs effective APR
- Car Loan Interest Calculator — auto loan interest cost
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