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01 Loan payments

Personal Loan APR Calculator and Monthly Payment

Calculator No. 01-3850 · 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 personal loan APR calculator estimates your monthly payment and total interest from the amount borrowed, annual percentage rate (APR), and loan term. Enter the figures shown in a lender’s offer to compare the arithmetic; the results assume fixed monthly payments and do not include fees.

Formula

The calculator uses the standard amortizing-loan payment formula. It divides the principal-weighted monthly interest rate by the payment factor for the full number of monthly payments:

Monthly payment = P × r ÷ [1 − (1 + r)−n]

  • P is the loan amount in dollars.
  • r is the monthly interest rate as a decimal: APR ÷ 1200. For an 8% APR, r = 8 ÷ 1200.
  • n is the number of monthly payments: loan term in years × 12.
  • Monthly payment is in dollars, rounded to the nearest cent.

Total interest is calculated as monthly payment × n − P. Because this calculation uses the payment rounded to cents, its total may differ slightly from a calculation using an unrounded payment at every step. The stated APR is used as the annual rate divided by 12; it is not a separate quote of the lender’s full payment schedule.

Worked Example

Using the calculator’s default values—$20,000 borrowed, 8% APR, and a five-year term:

  1. Convert APR to a monthly decimal rate: r = 8 ÷ 1200 = 0.0066666667.
  2. Convert the term to monthly payments: n = 5 × 12 = 60.
  3. Substitute into the formula: 20,000 × 0.0066666667 ÷ [1 − (1.0066666667)−60].
  4. The monthly payment is approximately $405.53 after rounding to cents.
  5. Total interest using that rounded payment is $405.53 × 60 − $20,000 = $4,331.80.

Assumptions

  • The APR is fixed for the entire term.
  • Payments are equal, made monthly, and made at the end of each monthly period.
  • Interest is modelled monthly at APR ÷ 12.
  • The estimate excludes origination or other fees, taxes, insurance, late charges, and any changes to the payment schedule.

What a Personal Loan APR Means

APR is an annualized measure of borrowing cost expressed as a percentage. A lender’s disclosed APR may account for certain charges as well as interest, depending on the loan and applicable disclosure method. The calculator cannot determine that APR from an offer: enter the APR provided by the lender. If the loan has an upfront fee deducted from the proceeds, the amount you receive may be less than the amount on which payments are calculated.

APR and the interest rate are related but are not always identical. A quoted interest rate describes the rate applied to the balance, while APR is intended to provide a broader annualized cost figure. Read the lender’s disclosure for the actual amount financed, payment amount, fees, and total repayment figure. Do not assume this simplified model reproduces every detail of a particular contract.

How to Use and Interpret the Estimate

Enter the amount you expect to borrow, the APR from the offer, and the repayment term in years. The first result is the estimated monthly payment; the second is estimated interest over all scheduled payments. If comparing offers, use the same borrowing amount and term, and enter each offer’s disclosed APR and any relevant loan details separately.

A longer term usually spreads repayment across more monthly installments. At an unchanged rate and principal, that generally lowers the scheduled payment but increases the time during which interest accrues. A shorter term has fewer payments and can produce a higher monthly amount. These are mathematical effects, not a recommendation about which term to choose.

For example, this calculator’s five-year default produces 60 payments. It does not calculate a lender’s payoff quote or predict the balance on a particular date. Actual balances can vary with payment dates, rounding rules, fees, extra payments, and contract terms.

Costs, Comparisons, and Common Mistakes

For a meaningful comparison, check more than the monthly figure. A payment can look smaller simply because repayment is scheduled over a longer period. Review the total of payments, total interest, amount actually disbursed, fees, and whether the APR is fixed or variable. Obtain these figures from the lender’s disclosure rather than treating the calculator output as an offer.

  • Entering a percentage incorrectly: Enter 8 for 8%, not 0.08. The formula converts the percentage to a monthly decimal.
  • Confusing term units: The input is years. Enter 5 for five years, not 60 months.
  • Ignoring fees: The estimate does not add fees to the balance or subtract an upfront charge from proceeds.
  • Rounding differences: The displayed payment is rounded to cents. A lender may use its own rounding and payment-date conventions.
  • Assuming APR is the monthly rate: APR is annual; this model divides it by 12 to estimate the monthly rate.

Rates, fees, and approval terms depend on the individual offer. This page does not predict approval, determine a rate, or say whether a loan is suitable for a particular person. For the exact amount due and total cost, use the lender’s written disclosures and loan documents.

Limits and Related Questions

This is a level-payment estimate for a fixed-rate installment loan. It does not model variable rates, irregular payment dates, skipped or late payments, additional payments, a balloon payment, or a changing balance caused by fees. A personal loan can have contract terms that differ from this standard formula, so the result is best understood as an arithmetic illustration using the inputs supplied.

One common misconception is that the lowest monthly payment necessarily means the lowest borrowing cost. The monthly amount alone does not show how long repayment lasts or how much is paid altogether; consider the term and total repayment figures together. Another is that the calculator’s total interest includes every charge. It does not: the displayed total interest is simply the sum of estimated payments minus the entered principal.

Frequently Asked Questions

What is a low APR on a personal loan?
There is no single cutoff that applies to every borrower or offer. APRs vary by lender, loan terms, fees, and individual circumstances. Check the APR and fees in the specific disclosure rather than relying on a general label such as “low.”

Is APR the same as the interest rate?
Not necessarily. The interest rate is applied to the loan balance; APR is an annualized cost measure that may include certain charges. Review the lender’s disclosure to see what its APR and rate represent.

Does a lower APR always mean a lower monthly payment?
Not by itself. Payment also depends on the principal and repayment term. Compare offers using the same amount and term, and look at total repayment and fees as well.

Does this calculator include personal loan fees?
No. It estimates payments and interest from the entered principal, APR, and term. It does not add fees, account for a fee deducted from proceeds, or reproduce a lender’s complete disclosure.

Why is my lender’s payment different?
The lender may use different rounding, payment timing, fees, or contract-specific calculations. Check the loan disclosure for its exact payment schedule and amounts.

The result is an estimate, 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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