Loan Payment Calculator
This calculator answers a narrow affordability question: how much is due each period if a fixed-rate loan is repaid on a selected schedule? It is different from the broader loan calculator, which assumes monthly payments, and from the loan-repayment calculator, which focuses on payoff timing and extra principal. Here the payment rhythm is the main variable. You can compare monthly, weekly, quarterly, semiannual, annual, or daily installments while keeping the same principal, annual rate, and term.
The result includes the payment per period, number of installments, periodic interest rate, loan payment total, and total interest. These are principal-and-interest figures only. The form does not add taxes, insurance, servicing fees, origination charges, or lender-specific rounding rules. For vehicle financing, the auto loan calculator includes sales tax and down payment. For an unsecured borrower budget, the personal loan calculator offers personal-loan context.
How the payment frequency changes the math
The calculator takes the annual rate and divides it by the selected frequency. Monthly means 12 payments per year, weekly means 52, quarterly means 4, and daily means 365. It also multiplies the term in years by that same frequency to get the number of installments. A five-year monthly loan has 60 installments; a five-year weekly loan has 260 installments; a five-year quarterly loan has 20 installments.
Because the rate and installment count move together, the payment amount cannot be compared across frequencies without also looking at total paid. A weekly payment will be much smaller than a monthly payment, but there are many more of them. A yearly payment will be much larger, but there are fewer due dates. The total interest line helps translate those schedules back into one lifetime cost.
Formula
For any selected payment frequency:
When the periodic rate is above zero, the payment is:
When the annual rate is 0%, the calculator uses:
The totals are:
Worked example
Consider the default-style case of a $25,000 loan at a 7.5% annual rate for 5 years with monthly payments. Monthly frequency means 12 payments per year, so the installment count is 5 multiplied by 12, or 60. The periodic rate is 7.5 divided by 100 and divided by 12, which equals 0.00625, or 0.625% per month.
Using those inputs, the payment formula returns $500.95 per month. The loan payment total is $500.95 multiplied by 60, or $30,056.92. Subtracting the $25,000 principal leaves $5,056.92 of total interest. The result panel therefore shows monthly payment $500.95, number of installments 60, periodic interest rate 0.63% after display rounding, loan payment total $30,056.92, and total interest $5,056.92.
Switching only the frequency changes the displayed payment rhythm. With quarterly payments, there would be 20 installments and a 1.875% periodic rate. The per-period payment would be larger because each installment covers three months of principal and interest. That does not mean the loan is less affordable or more affordable by itself; it means the cash-flow pattern is different.
APR versus the rate entered here
In lending disclosures, APR can be broader than the interest rate because certain finance charges may be included for comparison. This calculator applies the annual percentage you enter directly to the amortization formula. If a lender quotes an APR that includes fees, the computed payment may not match the contract payment unless those fees are also included in the amount financed. If a lender quotes a note rate and separate fees, model the payment from the note rate and account for the fees separately.
Tips for comparing payments
- Match the payment frequency to the agreement before relying on the result.
- Compare total paid, not only the per-period payment.
- Convert weekly or daily payments into a monthly budget number if your income and bills are monthly.
- Check whether a lender applies frequent payments immediately or holds them until the due date.
- Review the total debt load with the debt-to-income calculator and broader cash flow with the budget calculator.
This page provides an educational estimate, not financial advice. Lender disclosures, underwriting, prepayment terms, and fee treatment can change the actual payment schedule.
Sources
- Consumer Financial Protection Bureau, What is the difference between a loan interest rate and the APR? — APR versus interest-rate guidance.
- Federal Reserve, Consumer Credit - G.19 — consumer-credit context and official data.
- Federal Trade Commission, Consumer finance topics — consumer finance education and enforcement topic page.