Daily Payment Loan Calculator: Estimate Each Payment

A daily payment loan calculator estimates the payment due each day from a loan amount, annual percentage rate (APR), and repayment term. Enter those figures to see an estimated daily payment and the total paid over the term; this estimate assumes equal daily payments and a fixed rate.

Formula

The calculator uses the level-payment formula for a fixed-rate loan, with daily periods. It converts the annual APR to a daily rate by dividing by 365, and converts the term in years to a count of daily payments by multiplying by 365:

Daily payment = round[ P × r / (1 − (1 + r)⁻ⁿ), 2]

• P is the loan principal, in dollars.
• r is the daily interest rate: APR ÷ 36,500, when APR is entered as a percentage.
• n is the number of daily payments: years × 365.
• Daily payment is rounded to the nearest cent.
• Total paid equals the rounded daily payment multiplied by the number of scheduled daily payments. Total interest is total paid minus principal.

For example, an APR of 8% is entered as 8, not 0.08. The formula uses 0.08 ÷ 365 as the daily rate. This is a simplified daily-period model; a lender may calculate interest using its own stated day-count and payment conventions.

Worked Example

Using the calculator’s defaults: a $20,000 loan, 8% APR, and a five-year term.

1. Daily rate: 8 ÷ 36,500 = 0.0002191781.
2. Number of payments: 5 × 365 = 1,825.
3. Apply the payment formula: $20,000 × 0.0002191781 ÷ [1 − (1 + 0.0002191781)^−1,825] ≈ $12.4361.
4. Rounded daily payment: $12.44.
5. Total paid using the rounded payment: $12.44 × 1,825 = $22,694.00.
6. Estimated total interest: $22,694.00 − $20,000 = $2,694.00.

The figures are internally consistent with this calculator’s assumptions. Using an exact, unrounded payment for the total would produce a slightly different figure, so this calculation multiplies the displayed cent-rounded payment by the number of periods.

Assumptions

• The APR remains fixed for the full term.
• Payments are equal, made once per day, and begin after one daily interest period.
• Interest accrues in daily periods at APR ÷ 365; this is not monthly compounding.
• The calculation excludes fees, taxes, insurance, PMI, and escrow because none are entered.
• The schedule uses 365 days per year, including for a term that crosses a leap year.

When a Daily Payment Estimate Helps

A daily figure can help when a loan agreement or repayment arrangement describes payments by the day, or when you want to compare the scale of daily payments with a monthly budget. It is an estimate of equal scheduled installments, not a prediction of the exact amount that will leave an account on each calendar day.

Many installment loans are billed monthly even though interest accrues between payments. A monthly payment calculator is usually a closer match for a contract with monthly due dates. Check the agreement’s payment frequency and interest method before treating a daily result as a quoted installment.

How to Read the Results

Daily payment is the model’s scheduled installment for each of its 365-day periods. Total paid multiplies that installment by the number of periods. Total interest is the difference between total paid and the starting principal; it is not an extra amount added on top of total paid.

Because the payment is rounded to cents before totals are calculated, the displayed total may differ slightly from a schedule built with unrounded payments and a final adjusted installment. Actual contracts can also have a different final payment, payment dates, or interest accrual conventions.

Common Mistakes and Limitations

• Entering APR as a decimal: enter 8 for 8%, not 0.08. The calculator converts percentage points internally.
• Confusing daily and monthly payments: a daily amount cannot be compared directly with a monthly bill without accounting for the number of payment periods and timing.
• Assuming APR reveals every cost: the formula models the entered rate and principal only. Add-on charges or fees are not included unless reflected in the figures you enter.
• Treating the result as a lender quote: a lender may use a different day-count basis, payment schedule, rounding rule, or final-payment adjustment.

This formula is for a fixed rate and equal payments. It does not model variable rates, skipped payments, late charges, extra payments, changing balances from new borrowing, or daily interest calculated on actual calendar days. If the loan uses those features, the estimate will not reproduce its full amortization schedule.

Frequently Asked Questions

How do you calculate a daily loan payment?
Convert APR to a daily rate by dividing the percentage APR by 36,500, calculate the number of daily payments as years × 365, then use the level-payment formula shown above. Round the payment to cents.

Is a daily loan payment the same as daily interest?
No. A payment can include both interest and principal. Daily interest is the interest accruing for a period; the installment is the amount paid toward the loan under the modeled schedule.

Why does my lender’s figure differ?
The lender may use actual calendar days, a different payment frequency, fees, a different rounding convention, or a final adjusted installment. Compare the calculator’s assumptions with the contract’s disclosed payment schedule.

Can I use this calculator for monthly payments?
This calculator assumes 365 daily payments per year, so it is not designed to quote monthly installments. For a monthly loan schedule, use a monthly-payment calculation with the contract’s term and rate inputs.

Does total interest include fees?
No. It is calculated as modeled total payments minus the entered principal. Fees and other charges are excluded unless they are incorporated into the principal or otherwise reflected in the lender’s figures.

This result is an estimate, and the lender’s disclosure gives the exact figures.

Related

• VA Budget Breakdown: How a VA Loan Payment Adds Up
• Wedding Budget Breakdown: Plan Your Costs
• US Budget Breakdown by Year: Spending and Revenue

in p | Loan amount | $ | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Loan term | years | 5 | 0.0833 | 50
out dpmt | Daily payment | $ | round(p * (apr / 36500) / (1 - (1 + apr / 36500) ^ -(yrs * 365)), 2) | 2
out tot | Total paid | $ | dpmt * yrs * 365 | 2
out int | Total interest | $ | tot - p | 2