A personal loan payment calculator estimates your fixed monthly payment and total interest from the amount borrowed, annual percentage rate (APR), and repayment term. Enter those figures to see the payment and interest estimate; the result assumes equal monthly payments and does not include lender-specific fees.
Formula
The standard fixed-payment calculation converts the annual percentage rate to a monthly rate, then spreads repayment across the number of monthly installments:
Monthly payment = P × r ÷ [1 − (1 + r)−n]
- P is the principal, or loan amount, in dollars.
- r is the monthly interest rate as a decimal: APR ÷ 1,200. For an 8% APR, r = 8 ÷ 1,200.
- n is the number of monthly payments: loan term in years × 12.
Total interest is estimated as the monthly payment multiplied by the number of payments, minus the original principal: Total interest = payment × n − P. The calculator displays payment and interest to the nearest cent. Its formula uses the unrounded payment internally for the interest result, so a displayed payment multiplied by the number of months can differ by a few cents from the displayed total.
Worked Example
Using the calculator’s default values—$20,000 borrowed, 8% APR, and a 5-year term—the monthly rate is 8 ÷ 1,200 = 0.0066667, and the number of payments is 5 × 12 = 60.
- Substitute into the payment formula: $20,000 × 0.0066667 ÷ [1 − (1 + 0.0066667)−60].
- The unrounded monthly payment is approximately $405.5276, which displays as $405.53 per month.
- Using the unrounded payment for the formula’s total interest: ($405.5276 × 60) − $20,000 ≈ $4,331.66.
These figures are estimates under the stated assumptions. Multiplying the displayed, rounded payment of $405.53 by 60 gives $24,331.80; the small difference from the interest total reflects rounding the payment for display.
Assumptions
- The APR remains fixed for the whole repayment term.
- Payments are equal, made monthly, and paid at the end of each monthly period.
- Interest compounds monthly at APR ÷ 12, represented as a decimal rate in the formula.
- Fees, taxes, insurance, and any other charges are not included. The calculator also does not model a changing rate, skipped payments, or a different payment schedule.
How to Use and Read the Estimate
Enter the amount you expect to borrow, the APR quoted for the loan, and the term in years. Use the APR as a percentage number: enter 8 for 8%, not 0.08. The term accepts a decimal number of years, so 2.5 represents 30 months. The calculator converts years to months to estimate the scheduled installment count.
The monthly payment is the amount this simplified model assigns to each installment. Each payment covers interest accrued for that period and reduces the remaining principal. Early in a fully amortizing loan, more of a payment generally goes toward interest; as the balance falls, the interest portion declines. Total interest is the modeled cost of borrowing over the full schedule, in addition to returning the principal.
Use figures from the lender’s written loan offer when available. An advertised or preliminary APR may not match the final APR, and a lender may quote an origination fee or other charge separately. If a fee is deducted from the money disbursed, the amount received can be lower than the amount used to calculate the scheduled repayments. This calculator has no fee input, so it cannot determine the net amount received or an all-in cost that includes fees.
What Changes a Personal Loan Payment?
- Loan amount: A larger principal increases the payment and, if the rate and term stay unchanged, the total interest.
- APR: A higher entered APR increases the interest charged in the model and usually raises the fixed payment for the same principal and term. Use the specific APR supplied by the lender rather than a generic rate.
- Term: A longer term usually lowers the required monthly payment because repayment is spread over more installments. It can increase total interest because interest accrues for more months.
- Fees and payment details: Charges, payment dates, rounding conventions, and other contract terms can make actual figures differ from this simplified estimate.
A lower monthly payment does not by itself mean that a loan has a lower overall cost: the term and fees matter too. To compare two written offers arithmetically, enter each offer’s amount, APR, and term separately, then review both monthly payments and total interest alongside any charges that the calculator leaves out. This is a calculation method, not a recommendation about which offer to take.
Common Calculation Mistakes and Limits
One frequent mistake is confusing APR with a monthly rate. The input is an annual percentage; the formula divides it by 1,200 to get a monthly decimal. Another is entering the term in months even though this calculator asks for years. Convert months to years by dividing by 12—for example, 36 months is 3 years.
The displayed payment is rounded to cents, while a lender’s schedule may apply its own rounding to each installment and adjust the final payment. Consequently, multiplying the displayed payment by the number of months may not exactly reproduce the calculator’s total. The formula also presumes a positive APR, fixed monthly schedule, and complete repayment through equal payments. It does not calculate a payoff quote, account for extra payments, model a variable rate, or establish eligibility or approval. Check the offer documents for the actual disbursement, payment dates, fee treatment, and repayment schedule.
Frequently Asked Questions
How do I calculate a personal loan payment?
Convert APR to a monthly decimal by dividing by 1,200, convert the term to months, and apply P × r ÷ [1 − (1 + r)−n]. Here P is principal, r is the monthly rate, and n is the number of payments.
Does a longer personal loan term lower the monthly payment?
With the principal and APR unchanged, extending the term generally lowers the calculated monthly installment, but the loan accrues interest over more months. Compare both the payment and estimated total interest.
Does this calculator include a personal loan origination fee?
No. It models principal, APR, and term only. A fee may affect how much money is disbursed or the total cost, so check how the lender’s offer treats fees.
Why is my lender’s payment different from this estimate?
The lender may use different rounding or payment dates, include a fee, or calculate from contract details not represented here. Compare the calculator’s inputs with the lender’s disclosed schedule and terms.
Can I enter a loan term in months?
This calculator asks for years. Divide the number of months by 12 before entering it; for example, enter 4 for a 48-month term.
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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