calculate-loan

01 Loan payments

Personal Loan Amortization Calculator: Free Payment Estimate

Calculator No. 01-10888 · 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.

Yes—this free personal loan amortization calculator estimates your monthly payment and total interest from the loan amount, APR, and term. Enter those figures to see a level-payment estimate; the schedule assumes a fixed rate and does not include lender fees or other charges.

Formula

The calculator uses the standard fixed-rate, level-payment loan formula. It first calculates the monthly payment from principal, monthly interest rate, and number of monthly payments:

Payment = P × r ÷ [1 − (1 + r)−n]

  • P is the amount borrowed, in dollars.
  • r is the monthly interest rate as a decimal: APR ÷ 1,200. For an 8% APR, r = 0.08 ÷ 12.
  • n is the number of monthly payments: loan term in years × 12.

Total interest is estimated as monthly payment × n − P. The calculator uses the payment result shown to the nearest cent when estimating total interest. APR is entered as a percentage per year, not as a decimal or monthly rate.

Worked Example

Using the calculator’s default inputs—$20,000 principal, 8% APR, and a 5-year term:

  1. Convert the APR to a monthly decimal rate: 8 ÷ 1,200 = 0.0066667.
  2. Convert the term to payments: 5 × 12 = 60 monthly payments.
  3. Substitute into the payment formula: $20,000 × 0.0066667 ÷ [1 − (1 + 0.0066667)−60].
  4. The monthly payment is approximately $405.53, rounded to the nearest cent.
  5. Total interest using the displayed payment is $405.53 × 60 − $20,000 = $4,331.80.

Assumptions

  • The interest rate is fixed for the full term.
  • Payments are equal, made monthly, and paid at the end of each monthly period.
  • Interest compounds monthly using APR divided by 12.
  • The estimate excludes fees, taxes, insurance, PMI, and escrow; these are not calculator inputs.

How Personal Loan Amortization Works

Amortization means repaying principal and interest through scheduled payments over time. In a standard fully amortizing loan, each payment covers interest accrued for that period and applies the remainder to the amount owed. Early in the schedule, the outstanding balance is larger, so more of a level payment goes toward interest. As the balance falls, the interest portion generally shrinks and the principal portion grows.

This is why the monthly payment alone does not show the full borrowing cost. Total interest depends on the amount borrowed, APR, and repayment period. A longer term can spread repayment across more months and reduce the scheduled payment, but it can also result in more total interest under the same rate and principal. The calculator gives the aggregate estimate; it does not display a month-by-month table.

When to Use the Estimate

Use the calculator to understand the arithmetic of a quoted or hypothetical fixed-rate loan, compare different combinations of amount, APR, and term, or check how a change in one input affects the payment. These are mathematical scenarios, not predictions of approval or offers. Enter the figures from the lender’s disclosure or quote for a more relevant estimate; obtain the actual rate, fees, and payment details directly from the lender.

For example, if you are comparing two term lengths at the same principal and APR, keep the amount and rate unchanged and alter only the term. That isolates the effect of repayment length. If you change multiple inputs at once, the resulting difference cannot be attributed to just one factor.

Reading Results and Common Mistakes

  • APR versus monthly rate: Enter the annual percentage as a percent, such as 8, not 0.08 or 0.00667. The formula converts it to a monthly rate.
  • Years versus months: Enter the term in years. The calculation multiplies it by 12; do not enter a five-year term as 60.
  • Borrowed amount versus amount received: The calculation treats the input as principal. If fees are deducted from loan proceeds or added to the balance, the lender’s actual figures may differ.
  • Rounding: The payment is rounded to cents. A lender may calculate or adjust the final installment differently because of payment dates, daily accrual, or rounding practices.
  • Changing rates: The estimate assumes the APR remains fixed. It does not model a variable rate or a later rate change.

Total interest is an estimate based on the displayed rounded payment multiplied by the scheduled number of payments, less principal. It is not a substitute for the lender’s itemized amortization schedule. The formula also assumes every payment is made on time and in the same amount; skipped, late, or extra payments are outside this calculation.

What the Calculator Does Not Include

Some personal loan disclosures include costs or terms that cannot be represented by these three inputs. The calculator does not separately model origination or other fees, payment-date conventions, a payoff quote, extra payments, late charges, or a final adjusted payment. If a fee is financed into the loan, the principal used for a calculation may differ from the amount ultimately received. If a fee is paid separately, it may affect the overall cost without changing the scheduled principal-and-interest payment shown here.

For a precise payment schedule, use the lender’s disclosed figures and ask how fees, payment timing, and any nonstandard terms affect the balance. This calculator is estimate arithmetic for education, not financial advice; the lender’s disclosure gives the exact figures.

Frequently Asked Questions

Is a personal loan amortization calculator free?
Yes. This calculator is free to use and estimates a monthly payment and total interest from the amount, APR, and term you enter.

What does amortization mean on a personal loan?
Amortization is repayment through scheduled installments that cover interest and reduce principal over time. For a standard fixed-rate loan, the scheduled payment is level, while its interest and principal shares change.

Does the calculator show the full amortization schedule?
No. It estimates the monthly payment and total interest, but does not list the balance and principal-interest split for every month.

Why might my lender’s payment be different?
The lender may use different fee treatment, payment dates, rounding, or loan terms. Compare the calculator’s inputs with the lender’s disclosure, including the amount financed and APR.

Does a longer loan term reduce total interest?
Not necessarily. With the same principal and APR, a longer term generally means more scheduled payments and can increase total interest, even if the monthly payment is lower.

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.

More in this section

The whole Loan payments section →