Choose daily interest amount, daily rate, annual rate, or principal balance. Enter the requested values and match the day-count basis to your loan contract.

Estimate one day of simple interest on the current principal balance.

Use outstanding principal, not the original amount borrowed.

Enter 8 for 8%. Use the interest rate, not an APR that includes fees.

Default: 365. Match your loan contract; 360 and 366 are alternatives, not automatic date adjustments.

Auto Loan Per Diem Formula

The following formulas estimate daily simple interest using the default 365-day basis. Select 360 or 366 only when your loan terms call for that divisor.

PDI = I / 365
PDP = (I / 365) / 100 × B
  • Where PDI is the per diem interest rate (%)
  • PDP is the interest accrued for one day ($)
  • I is the annual contract interest rate (%), not an APR that includes fees
  • B is the current outstanding principal balance ($)

For a 365-day basis, divide the annual rate by 365 to find the daily percentage. Other day-count conventions depend on the loan contract; this calculator does not infer them from the date.

Auto Loan Per Diem Definition

What is a per diem auto loan?

Per diem means per day. For a daily simple-interest auto loan, interest accrues on the outstanding principal each day.

Daily accrual does not mean payments must be made daily. This estimate does not model precomputed interest or provide a lender payoff quote; balance changes, payment timing, fees and contract rounding affect the amount due.

Example Problem

How to calculate a per diem auto loan?

First, determine the annual contract interest rate. This example uses 8% and a 365-day basis.

Next, calculate the daily percentage by dividing the annual percentage by 365:

8% / 365 ≈ 0.021918%

Next, determine the current principal balance. This example uses $12,000.00 of outstanding principal.

Finally, calculate the interest accrued for one day without rounding the daily rate first.

PDP = (I / 365) / 100 * B

PDP = (8 / 365) / 100 * 12,000

PDP ≈ $2.6301 per day (about $2.63)