Weekly Payment Ledger Calculator and Payment Schedule

A weekly payment ledger records each weekly payment and shows how much goes to interest, how much reduces the balance, and what remains after each payment. Enter the loan amount, annual percentage rate (APR), and term to calculate the level weekly payment and a week-by-week amortization schedule.

Formula

This calculator estimates a fixed weekly payment using the standard level-payment amortization formula:

Payment = P × r / [1 − (1 + r)⁻ⁿ]

• P is the original loan principal in dollars.
• r is the periodic interest rate, calculated here as APR ÷ 5,200. This treats the quoted annual rate as a nominal rate divided across 52 weekly periods.
• n is the number of weekly payments, calculated as loan term in years × 52.

The total of payments is the weekly payment rounded to cents multiplied by the number of weeks. Estimated interest is that total minus the original principal. The calculator rounds the weekly payment to two decimal places before computing totals, so totals reflect the displayed payment rather than an unrounded amount.

Worked Example

Using the defaults—$20,000 principal, 8% APR, and a five-year term:

1. Convert the APR to a weekly periodic rate: 8 ÷ 5,200 = 0.00153846.
2. Find the number of payments: 5 × 52 = 260 weeks.
3. Apply the formula: $20,000 × 0.00153846 ÷ [1 − (1 + 0.00153846)⁻²⁶⁰] = approximately $96.22 per week, rounded to cents.
4. Calculate the total paid: $96.22 × 260 = $25,017.20.
5. Estimate total interest: $25,017.20 − $20,000 = $5,017.20.

These figures are estimates under the stated assumptions. Actual payment dates, rounding conventions, and lender calculations can change the ledger.

Assumptions

• The interest rate stays fixed for the full term.
• Payments are equal, made once each week, and assumed to arrive at the end of each weekly period.
• Interest accrues in weekly periods using APR ÷ 52; this is a nominal-rate approximation, not a daily-interest calculation.
• The estimate excludes fees, taxes, insurance, and other charges because they are not calculator inputs.

What a Weekly Payment Ledger Shows

A payment ledger is a dated record of transactions. In a loan context, an amortization ledger usually adds a breakdown of every scheduled payment. Typical columns include the week or due date, opening balance, payment, interest charge, principal reduction, and closing balance.

For example, if the opening balance is $20,000 and the weekly rate is about 0.00153846, the first period’s estimated interest is about $30.77. From a $96.22 payment, roughly $65.45 would reduce principal, leaving an estimated balance of $19,934.55. Later in the schedule, the interest portion generally falls as the balance declines, while more of the same payment goes toward principal.

A real ledger may also show payment received dates, late or extra payments, fees, adjustments, and the lender’s actual outstanding balance. The calculator’s totals alone are not a substitute for that account record.

How to Read or Build the Ledger

For a simple fixed-payment schedule, calculate each period in order. Start with the opening balance, multiply it by the weekly rate to estimate interest, subtract that interest from the payment to find principal paid, then subtract principal paid from the opening balance.

• Opening balance: amount owed before the weekly payment is applied.
• Interest: opening balance × periodic rate, subject to the lender’s accrual and rounding method.
• Principal: payment − interest, assuming no separate charges are deducted.
• Closing balance: opening balance − principal; this becomes the next week’s opening balance.

As an illustration, an extra $20 paid toward principal in a week would usually lower the next balance compared with the scheduled-payment-only path. Its exact effect depends on how the lender applies additional money and whether it changes the required payment, the payoff date, or both.

Weekly Versus Monthly Payment Schedules

A weekly schedule has 52 payment periods per year, while a monthly schedule usually has 12. The weekly payment is not simply a monthly payment divided by four: a year has 52 weeks, not 48. Also, payment frequency and interest calculation method are separate details. A lender may calculate interest daily, use a specified compounding convention, or apply payments on particular dates.

For a useful comparison, calculate each schedule using the same principal, annual rate, and overall term, while using the lender’s stated payment frequency and rate convention. Compare both the amount due each period and the total of scheduled payments. Differences can arise from the number and timing of payments, rounding, and the way interest accrues.

Common Ledger Problems and Limits

• Using the wrong week count: multiplying years by 48 understates the payment count. This estimate uses 52 weeks per year.
• Confusing APR with a weekly rate: enter the annual percentage as a percentage, such as 8, not 0.08. The formula converts it to a weekly rate.
• Assuming every lender uses the same method: actual contracts may use daily accrual, different payment dates, or other rounding rules.
• Ignoring additional transactions: missed payments, extra principal, fees, and rate changes require updating the ledger; the fixed-payment estimate does not model them.
• Expecting the final payment to match exactly: cents rounding can leave a small residual, so a real final payment may be adjusted.

If the payment in a real account does not appear to reduce the balance as expected, check the payment allocation, transaction dates, accrued interest, and any charges in the account statement. The lender’s posted ledger is the authoritative record of its calculations.

Frequently Asked Questions

What is a weekly payment ledger?
A weekly payment ledger is a record of weekly payments. A loan amortization ledger also breaks each payment into interest and principal and tracks the remaining balance.

How do I calculate a weekly loan payment?
Use the level-payment formula with a weekly rate of APR ÷ 5,200 and a payment count of loan years × 52. This calculator uses those assumptions and rounds the payment to cents.

Is a weekly payment the same as a monthly payment divided by four?
No. There are 52 weeks in a year, so four weekly payments cover only 48 weeks. Payment timing and interest accrual can also affect the comparison.

Does this ledger show the exact payoff balance?
No. It is an estimate based on a fixed rate and regular end-of-week payments. For an exact payoff amount, use the lender’s current balance or payoff statement, which may account for dates and charges not modeled here.

Can I include extra payments?
Not in this calculator. A ledger can record extra payments, but the effect depends on how they are applied and whether the regular payment or payoff date changes.

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

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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 pmt | Weekly payment | $ | p * (apr / 5200) / (1 - (1 + apr / 5200) ^ -(yrs * 52)) | 2
out tot | Total of weekly payments | $ | pmt * yrs * 52 | 2
out int | Total interest | $ | tot - p | 2