Payoff Calculator for Weekly Loan Payments

A weekly-payment payoff calculator estimates the payment needed to repay a fixed-rate loan over a chosen number of weeks, along with the total paid and interest. Enter the loan balance, annual percentage rate (APR), and payoff period in years; the results are estimates based on regular weekly payments.

Formula

The calculator uses the level-payment loan formula, applied to weekly periods. It assumes a nominal APR divided by 52 to get the periodic rate, and makes 52 payments per year:

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

• P is the starting loan balance, in dollars.
• r is the weekly interest rate, calculated as APR ÷ 5,200. APR is entered as a percentage per year; for example, 8% gives a weekly rate of 8 ÷ 5,200.
• n is the number of weekly payments, calculated as payoff years × 52.
• round(…, 2) rounds the scheduled payment to the nearest cent.

Total paid is the rounded weekly payment multiplied by the number of payments. Estimated interest is total paid minus the starting balance. Because the weekly payment is rounded to cents, the final scheduled payment in an actual loan may be adjusted slightly to clear the remaining balance.

Worked Example

Using the defaults—$20,000 balance, 8% APR, and five years—the calculator estimates 5 × 52 = 260 weekly payments. The weekly rate is 8 ÷ 5,200 = 0.00153846.

Substitute those values in the payment formula:

$20,000 × 0.00153846 ÷ [1 − (1 + 0.00153846)⁻²⁶⁰] = $92.54 per week, rounded to the cent.

Total of scheduled payments: $92.54 × 260 = $24,060.40.

Estimated interest: $24,060.40 − $20,000 = $4,060.40.

Assumptions

• The APR stays fixed for the full payoff period.
• Payments are equal, made once every week, with the first payment one week after the starting balance is measured.
• Interest accrues at a weekly rate of APR ÷ 52. This is a simplified periodic-rate model; a lender may calculate interest using daily balances or another contract method.
• The calculation excludes fees, taxes, insurance, PMI, escrow, late charges, and any other amount not entered as part of the loan balance.

How Weekly Payoff Estimates Work

A payoff estimate answers two connected questions: what fixed weekly payment would amortize the balance over the selected term, and how much would those scheduled payments add up to? “Amortize” means each payment covers interest accrued for the period and reduces principal. Early payments generally include a larger interest share because the outstanding balance is higher; as the balance falls, more of each level payment goes toward principal.

Weekly payments are not automatically equivalent to making four payments each month. A calendar year contains 52 weeks, while 12 months do not each contain exactly four weeks. This calculator uses 52 equal periods per year. It does not assume a monthly payment divided by four, nor does it model a lender’s specific billing calendar.

Choosing Inputs and Reading Results

• Loan balance: Enter the amount on which repayment is calculated. For an existing loan, the current principal balance may differ from a payoff quote, which can include interest accrued through a particular date and other contract-specific amounts.
• APR: Use the annual percentage rate supplied for the loan. Do not enter a monthly rate or a decimal such as 0.08 for 8%; the calculator expects 8.
• Payoff period: Enter the number of years, not weeks or months. The formula converts years to 52 weekly periods.
• Weekly payment: This is the scheduled level payment implied by the inputs, rounded to cents.
• Total paid and interest: These are arithmetic estimates based on the rounded weekly payment and the full number of periods.

For a real loan, get the applicable balance, APR, payment schedule, and payoff amount from the lender or servicer. A quoted APR alone does not describe every feature of an account, and the calculator cannot infer contract terms from it.

Extra Payments, Rounding, and Limitations

This calculator models equal scheduled payments only. If you pay extra, make irregular payments, skip or delay a payment, or change the payment amount, the actual payoff date and interest will differ. Extra principal payments can affect the balance trajectory, but whether and how a payment is applied depends on the loan’s servicing and contract terms. The calculator does not model those details.

Rounding matters over a long series of payments. Here, the weekly payment is rounded to cents first, and the total is that displayed payment multiplied by all 260 periods. A lender may instead calculate interest at more frequent intervals, carry more precision internally, or adjust the last payment. These differences can make a statement or payoff quote vary from the estimate without making the arithmetic shown here inconsistent.

The rate conversion also simplifies interest accrual. Dividing APR by 52 is a standard periodic-payment assumption, but some loans accrue interest daily or use a different convention. If the APR changes during the term, a fixed-rate formula will not describe later payments accurately. Fees, insurance, taxes, and other charges are excluded unless already reflected in the balance you enter.

Frequently Asked Questions

How do I calculate a weekly loan payment?
Convert the APR to a weekly rate by dividing the entered percentage by 5,200, convert the term to weeks by multiplying years by 52, and use the level-payment formula. This calculator performs those steps and rounds the result to cents.

Is a weekly payment the same as a monthly payment divided by four?
No. The year-based schedules differ: 52 weekly payments are not the same as 48 payments made every four weeks, and months have different lengths. Use the payment frequency in the actual loan terms when estimating repayment.

Does paying weekly reduce total interest?
Not necessarily. This estimate assumes the loan is scheduled for weekly payments from the outset. Comparing it with a monthly plan requires the same balance, rate, timing, compounding method, and payment rules. Simply splitting a monthly amount into smaller transfers may be treated differently by the servicer.

Why does my lender’s payoff quote differ?
A payoff quote may be calculated for a specific date and can reflect accrued interest, fees, payment posting dates, or contract rules that this simplified calculator does not include. Ask the lender or servicer for the amount and date-specific details.

Can I use this for a variable-rate loan?
Only as a snapshot estimate if you enter a current rate and assume it remains unchanged. The result will not predict payments or interest after a rate adjustment.

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

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in p | Loan balance | $ | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Payoff period | years | 5 | 0.0833 | 50
out pmt | Weekly payment | $ | round(p * (apr / 5200) / (1 - (1 + apr / 5200) ^ -(yrs * 52)), 2) | 2
out tot | Total of weekly payments | $ | pmt * yrs * 52 | 2
out int | Total interest | $ | tot - p | 2