This personal loan APR comparison calculator estimates the monthly payment and total interest for a fixed-rate loan when you enter its amount, APR, and term. Use the same amount and term when comparing offers; the results show how differences in APR change the payment and interest, but do not include lender-specific fees.
Formula
The calculator uses the standard fixed-payment loan formula. It converts the annual percentage rate to a monthly rate and the loan term to a number of monthly payments:
- Monthly payment = P × r ÷ [1 − (1 + r)−n]
- Total interest = monthly payment × n − P
P is the amount borrowed in dollars, r is the monthly interest rate as a decimal (APR ÷ 1,200), and n is the number of monthly payments (years × 12). The APR input is expressed as a percentage per year. The displayed result is rounded to cents; the total-interest expression uses the unrounded payment produced by the calculator formula, so a cent-level difference can occur compared with a real schedule that rounds every payment.
Worked Example
Using the calculator’s defaults—$20,000, an 8% APR, and a five-year term:
- Monthly rate: 8 ÷ 1,200 = 0.0066667.
- Number of payments: 5 × 12 = 60.
- Payment: 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] ≈ $405.53 per month.
- Total interest, using the unrounded payment in the formula: monthly payment × 60 − $20,000 ≈ $4,331.77.
The payment is rounded for display to two decimal places. If you multiply the displayed $405.53 by 60, you get $24,331.80, or $4,331.80 above the principal. The calculator’s total-interest output instead follows its specified formula using the unrounded payment; a lender’s payment schedule may differ by a few cents because it rounds installments.
Assumptions
- The APR and payment stay fixed for the full term.
- Payments are monthly and made at the end of each payment period.
- Interest is modeled monthly at APR ÷ 12.
- Fees, taxes, insurance, late charges, and other costs are not included. Check the lender’s disclosure for the actual payment schedule and total cost.
How to Compare Personal Loan APRs
APR is a yearly percentage measure used to describe borrowing cost. It can include certain loan charges as well as interest, depending on the loan and disclosure, so it may be more informative than comparing interest rates alone. APR does not necessarily capture every possible expense or circumstance. Confirm what each lender includes and whether any fee is deducted from the money disbursed.
For a meaningful comparison, keep the principal and repayment term constant. If one offer is for $10,000 over three years and another is for $12,000 over five years, their payments and total interest do not isolate the effect of APR. Enter the same hypothetical amount and term for each APR, then compare the calculator’s results. Repeat the calculation with the actual disclosed loan amount and term to estimate that offer’s payment.
For example, even without changing APR, extending a term generally spreads repayment over more months and lowers the scheduled monthly payment, while increasing the time during which interest accrues. A lower payment therefore does not automatically mean a lower total borrowing cost. Use both outputs, and check the lender’s own figures for fees and rounding.
What APR Does—and Does Not—Tell You
APR is a comparison measure, not a promise that every borrower will receive the same offer or pay exactly the calculator’s result. A disclosed APR and payment can depend on the particular offer, loan structure, and fees. Rates, charges, eligibility requirements, and available terms vary; get the exact figures from the lender rather than relying on an example or an assumed market rate.
APR also should not be confused with the monthly interest rate. For this calculator, an 8% annual APR is converted to 8 ÷ 12 = 0.6667% per month, represented in the formula as 0.006667. Do not enter 0.6667 as the APR: the input expects 8 for 8%. A rate quoted on a different basis may not be directly comparable without understanding its calculation and the loan disclosure.
Common Comparison Problems and Limits
- Comparing different terms: Payment size and total interest reflect both rate and repayment length. Match terms to isolate APR’s effect.
- Ignoring fees or net proceeds: A fee deducted upfront can mean the amount received is lower than the amount repaid. This calculator has no fee input.
- Using a rate that is not the APR: Enter the annual APR as a percentage, not a monthly rate or decimal fraction.
- Treating estimates as an offer: The model assumes level payments and a fixed rate. It does not model variable rates, irregular payment dates, payment holidays, late payments, or early payoff.
The formula is designed for ordinary amortizing, fixed-rate loans with monthly payments. The minimum APR is above zero because this payment expression divides by the monthly rate; the formula’s zero-rate limit would instead make payment principal divided by the number of payments. For a no-interest arrangement or a loan with unusual payment terms, use the lender’s schedule or a formula suited to that structure.
Frequently Asked Questions
What does APR mean on a personal loan?
APR is an annualized percentage measure of borrowing cost. It can include interest and certain charges, but check the loan disclosure to see what is included and what costs remain outside it.
Is a lower APR always a lower monthly payment?
Not if the loan amounts or terms differ. With the same principal and term under this fixed-payment model, a lower APR produces a lower calculated payment; different terms can change the result.
Why is my lender’s payment different from this estimate?
The lender may use different rounding, payment dates, fees, disbursement amounts, or loan terms. Compare the entered figures with the disclosure and rely on the lender’s exact schedule for the offer.
Should I compare APR or interest rate?
Compare the disclosed APR alongside the interest rate, fees, repayment term, and amount actually disbursed. APR can aid comparison, but it may not represent every cost or make unlike loan structures equivalent.
Does a longer loan term reduce total interest?
Not necessarily. A longer term can reduce the scheduled monthly payment while allowing interest to accrue over more months. Compare both payment and total interest for otherwise matching inputs.
This result is an estimate; 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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