APR Desk · Loan math

Loan payoff and APR calculator

Payment for a term · months at a payment · amortization

APR Desk answers two loan questions quickly: what payment clears this balance in a set number of months, and how long will my current payment take? Enter the numbers from your statement and see the full interest cost.

Inputs

Mode

Result

Enter loan details to see payoff time and interest.

Disclaimer: Results are estimates for illustration. They are not a loan offer, credit advice, or a substitute for your lender’s amortization schedule. Fees, compounding conventions, and prepayment rules can differ.

Reading your loan statement

You need three numbers: the current principal balance (not the original loan amount if you've been paying for a while), the APR, and either your monthly payment or the number of months you want to finish in. APR is shown on your statement or Truth in Lending disclosure.

Worked example

A $20,000 loan at 6% APR over 60 months needs a payment of about $386.66 a month. Over five years you'd pay about $23,199 in total, of which roughly $3,199 is interest. Switch to payment mode and enter a higher amount to see how quickly an extra $50 or $100 a month shortens the loan.

What APR does and doesn't capture

APR folds certain lender fees into a yearly rate so offers can be compared. This calculator applies the APR you enter as a simple monthly rate (APR ÷ 12), which matches most car and personal loans. Credit cards with daily compounding, variable rates or promotional periods will differ somewhat.

FAQ

How is a monthly loan payment calculated?

The standard formula is P × r ÷ (1 − (1 + r)^−n), where P is the principal, r is the APR divided by 12, and n is the number of months.

What happens if my payment only covers the interest?

The balance never goes down. APR Desk warns you when a payment is too low to ever pay off the loan.

Is a lower APR or a shorter term better?

Both reduce total interest. A shorter term raises the monthly payment but usually saves the most interest overall.

Can I use APR Desk for a mortgage?

Yes, for principal and interest. Property tax, insurance and PMI are not included, so your actual mortgage payment will be higher.

More on this site

Mortgages, extra payments, schedules, compound interest, refinances, auto loans, and credit cards. Interest-only, biweekly payments, present value, savings deposits, debt ratios, and the balance left after scheduled payments are separate questions. Daily interest, down payments, loan-to-value, a real rate, PMI, tax, a weighted rate, escrow, points, and rent-to-income are separate from those.

Mortgage

Monthly principal, interest, and the extras you enter.

Extra

Interest and months saved by paying extra.

Schedule

Year-by-year and month-by-month loan table.

Compound

Future value with compounding and contributions.

APR/APY

Convert a nominal APR to APY, or the other way.

Compare

Payment and interest for two loans side by side.

Refinance

Months until closing costs are covered by a lower payment.

Auto

Payment after down payment, trade-in, tax, and fees.

Card

Months and interest for a card balance.

Interest-only

Monthly interest when the balance does not fall.

Biweekly payment

Years and interest if you pay half the monthly amount every two weeks.

Rule of 72

Years to double, shortcut and exact.

Present value

Today's value of a lump sum or of a monthly payment.

Savings goal

Monthly deposit to hit a dollar target.

Debt-to-income

Back-end and housing debt ratios from the payments you enter.

Credit utilization

Utilization percent and the unused part of the limit.

Simple interest

Interest that does not compound, and the amount owed.

Loan affordability

Principal that fits the payment, rate, and term you enter.

Remaining balance

Balance left after a count of scheduled payments.

Daily interest

Interest for a number of days on a 365-day year.

Down payment

Down payment in dollars and the amount financed.

Loan-to-value

Loan-to-value from a loan and a value you enter.

Real return

Real annual rate from a nominal rate and inflation.

PMI

Monthly PMI from a loan and an annual rate you enter.

Property tax

Monthly property tax from a bill or from a rate.

Weighted interest rate

Balance-weighted average of two interest rates.

Escrow

Monthly escrow from annual tax and insurance.

Discount points

Upfront cost of points and the months of savings that cover it.

Rent-to-income

Rent divided by gross monthly income.