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01 Loan payments

Weekly Payment Amortization Schedule Calculator

Calculator No. 01-2676 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.67
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

This weekly payment amortization calculator estimates the fixed payment needed to repay a loan over a stated number of years, then shows the total paid and interest under a monthly-rate approximation. Enter the loan amount, annual APR, and term; the schedule itself depends on payment frequency and lender timing, so use the weekly-frequency limits explained below when comparing it with a lender’s schedule.

Formula

This calculator uses the standard fixed-payment loan formula on a monthly schedule. It does not calculate a weekly payment: the required calculator inputs above and its outputs are monthly, and a weekly schedule requires a different payment interval and interest conversion. The result is useful as a monthly benchmark, but it should not be labelled as a lender’s weekly amortization schedule.

For monthly rate r and number of monthly payments n:

  • Monthly payment = P × r ÷ [1 − (1 + r)−n]
  • Total interest = (monthly payment × n) − P
  • r = APR ÷ 1,200, and n = years × 12

P is the loan principal in dollars, APR is the annual percentage rate in percent, r is the monthly rate as a decimal, and n is the number of monthly payments. The payment is rounded to cents before total interest is calculated, as many payment estimates are presented to the cent.

Worked Example

Using the calculator’s default inputs—$20,000 principal, 8% APR, and five years:

  1. Convert APR to a monthly rate: r = 8 ÷ 1,200 = 0.0066667.
  2. Find the number of payments: n = 5 × 12 = 60.
  3. Apply the formula: payment = 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] ≈ $405.53 per month.
  4. Calculate total interest using the rounded payment: ($405.53 × 60) − $20,000 = $4,331.80.

These are monthly figures, not weekly figures. A weekly payment cannot be obtained reliably merely by dividing $405.53 by four: months do not all contain exactly four weeks, and the interest accrual and payment dates affect the balance.

Assumptions

  • The APR and scheduled payment remain fixed throughout the calculation.
  • Payments are made at the end of each monthly period.
  • Interest is approximated using monthly compounding at APR ÷ 12.
  • Fees, taxes, insurance, PMI, escrow, late charges, and other loan costs are not included.

What a Weekly Amortization Schedule Shows

An amortization schedule lays out each payment period, opening balance, interest charged, principal repaid, and remaining balance. In a weekly schedule, each row represents a week. Early payments usually have a larger interest portion because the outstanding principal is higher; as principal falls, the interest portion generally declines and more of each level payment goes toward principal.

The basic row calculation is straightforward when the lender’s weekly rate and payment amount are known:

  • Interest for the period = opening balance × weekly interest rate.
  • Principal repaid = payment − interest for the period.
  • Closing balance = opening balance − principal repaid.

For example, if the opening balance is $10,000, the period’s interest is $15, and the payment is $100, then $85 reduces principal and the closing balance is $9,915. This is an illustration of the row arithmetic, not a quote or a prediction for a particular loan.

How Weekly Payments Differ from Monthly Payments

“Weekly payment” can mean a payment actually due every seven days, or a monthly amount converted into weekly instalments. Those are not necessarily equivalent. There are 52 weekly intervals in a 364-day year, while 12 calendar months cover 365 or 366 days. A lender may also use a specific day-count convention, payment processing dates, and rules for applying partial or extra payments.

Some comparisons use 52 weekly payments per year; others describe an accelerated biweekly arrangement, typically 26 half-monthly payments per year. That is different from paying weekly. The number of payments, their amount, and how they are credited to principal determine whether a schedule pays the balance sooner or changes total interest. Do not assume that a payment frequency label alone reveals the effect.

To calculate a true weekly schedule, use the lender’s stated weekly payment, weekly interest method, and payment dates. If the lender quotes a nominal APR divided evenly across 52 periods, a simple periodic rate is APR ÷ 5,200. If it converts an effective annual rate or accrues interest daily, that shortcut will not reproduce its figures. Ask for the payment frequency and rate convention rather than silently substituting one.

How to Read and Check a Schedule

Check that the schedule starts with the same principal as the loan disclosure and that its payment count matches the term and frequency. A five-year monthly schedule has 60 regular payment periods; a five-year weekly schedule may have 260 periods if it uses exactly 52 payments per year. Calendar timing or a final adjusted payment can change the actual count.

  • Confirm whether the displayed payment includes only principal and interest.
  • Check whether the first period is shorter or longer than a full period.
  • Look for a small final-payment adjustment caused by cent rounding.
  • Compare total interest only when principal, rate convention, payment dates, and included charges match.

Rounding every row to cents can create a minor difference from a calculation that retains extra decimal places until the end. The lender’s servicing system may also apply payments in a particular order or handle posting dates differently, so a calculator is an estimate rather than an account ledger.

Common Mistakes and Limits

A frequent misconception is that dividing a monthly payment by four gives the correct weekly payment. It only produces a rough cash-flow conversion: four weekly payments per month amounts to 48 payments in a year, not 52. Multiplying a monthly payment by 12 and dividing by 52 gives an annualized equivalent, but it still does not model weekly interest or the timing of principal reduction.

Another mistake is to treat APR as the exact rate charged on every weekly balance. APR is an annualized disclosure measure; the lender’s contract determines how interest accrues and is applied. Fees can also affect disclosed APR without being part of the loan balance used in a simple amortization formula. This page’s calculator intentionally uses a standard monthly formula and cannot reproduce those contract details or generate weekly rows.

Use the calculator to understand fixed monthly-payment arithmetic or check an approximate monthly baseline. For a weekly payment schedule, enter the lender’s actual weekly terms into a calculator designed for weekly periods, or request the lender’s own schedule. Do not infer an exact payoff date or interest saving from this monthly estimate.

Frequently Asked Questions

How do I calculate a weekly loan payment?
Use the loan principal, the lender’s weekly interest rate, and the number of weekly payments in a level-payment formula. Confirm whether the stated APR is divided by 52 or converted using another method; the monthly calculator on this page does not perform that calculation.

Can I divide my monthly payment by four?
You can use that as a rough budgeting conversion, but it is not an exact weekly payment calculation. Four payments per month produce 48 payments per year, whereas a weekly calendar usually has 52 payment dates.

Does paying weekly always reduce total interest?
Not automatically. The result depends on the amount paid, how often payments are credited, the interest-accrual method, and whether the arrangement changes the total paid each year. Compare schedules using the same contractual assumptions.

Why does my lender’s schedule differ from this estimate?
This calculator uses monthly compounding, end-of-month payments, and no fees or irregular dates. A lender may use daily accrual, different posting dates, a different APR convention, or rounding at each payment.

What happens to the final payment?
It may differ slightly from the regular payment because the remaining balance can be smaller than a full scheduled instalment. The lender’s schedule determines the exact final amount.

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

Related

Formula used
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 | Monthly payment | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2
out int | Total interest | $ | pmt * yrs * 12 - p | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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