Compare loan terms by entering the same loan amount and annual percentage rate (APR), then changing the term. This calculator estimates the monthly payment and total interest for a fixed-rate loan with monthly payments, showing how repayment time changes the two figures.
Formula
The calculator uses the standard fixed-payment amortization formula. It assumes the stated annual APR is divided into a monthly rate and that payments are made monthly:
- Monthly payment: M = P × r ÷ [1 − (1 + r)−n]
- Total interest: I = M × n − P
- Monthly rate: r = APR ÷ 1,200
- Number of payments: n = years × 12
Here, P is the loan principal in dollars, APR is the annual percentage rate entered as a percentage, M is the monthly payment in dollars, I is estimated total interest in dollars, and n is the number of monthly payments. The displayed payment is rounded to the nearest cent; total interest uses that rounded payment multiplied by the number of payments, less principal.
Worked Example
Using the calculator’s default inputs—$20,000 principal, 8% APR, and a five-year term:
- Convert APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
- Calculate the number of payments: 5 × 12 = 60.
- Substitute into the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 per month, rounded to cents.
- Calculate total interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.
Results can differ slightly from a lender’s schedule if its payment amount, timing, rounding method, or treatment of fees differs.
Assumptions
- The interest rate is fixed for the full term.
- Payments are equal, made monthly, and begin one month after the loan starts.
- Interest is modelled monthly at APR divided by 12.
- Fees, taxes, insurance, PMI, escrow, late charges, and extra payments are not included.
How to Compare Loan Terms
To isolate the effect of term length, keep the principal and APR unchanged while comparing different term values. For example, calculate one result at five years and another at ten years. The shorter term will generally produce a higher scheduled monthly payment but less total interest under these fixed-rate assumptions. The longer term spreads repayment over more payments, which can lower each payment while increasing the total paid in interest.
Use the results as a like-for-like arithmetic comparison, not as a forecast of a particular lender’s offer. The APR and loan amount should come from the same quoted scenario if you are comparing term options. If changing the term also changes the offered APR, enter the rate associated with each scenario separately; otherwise the comparison holds rate constant when the real offers do not.
- Enter the amount borrowed, not the sum of all scheduled payments.
- Enter the annual APR as a percentage: enter 8 for 8%, not 0.08.
- Enter the term in years. A term of 5 means 60 monthly payments.
- Compare both outputs: monthly payment reflects the scheduled payment, while total interest estimates the financing cost over the full term.
What the Results Mean—and Do Not Mean
A monthly payment is not the same as total loan cost. A payment can be lower simply because repayment lasts longer. Conversely, a shorter term can reduce interest while making each monthly payment larger. The calculator does not assess a household budget or establish whether any payment is manageable.
Total interest here is calculated as rounded monthly payment times the number of payments, minus the amount borrowed. It does not include the principal itself in the interest figure. To estimate total scheduled payments before any excluded charges, multiply the shown monthly payment by the number of months; that total consists of principal and interest in this simplified model.
Loan term also does not necessarily mean the period during which the rate stays fixed. Some loans may have changing rates, irregular payments, deferred payments, or a final payment that differs from the others. Those features need their own inputs or a lender-provided repayment schedule; this calculator does not model them.
Costs, Limits, and Common Mistakes
The entered APR is an input, not a claim about a current or typical rate. Get the applicable APR, loan amount, term, and any relevant charges from the lender’s disclosure. A rate alone may not capture every charge or the timing of payments, and this calculator does not add fees to the balance or calculate a separate APR from fees.
Rounding matters. The calculator rounds its monthly payment to cents and then uses that amount for its total-interest estimate. A real account may accrue interest daily or use a different rounding convention, so the final payment and cumulative interest can vary. If payments are not made on schedule or the rate changes, the actual balance and payoff date can also differ.
A common misconception is that the longer term always costs less because its monthly payment is lower. The monthly payment and total interest answer different questions: a longer repayment period can lower the required payment while increasing the amount of interest paid over time. Comparing both figures, alongside any fees and the exact repayment schedule, gives a more complete numerical picture.
Frequently Asked Questions
Does a longer loan term lower the monthly payment?
With the same principal and fixed APR, extending the term generally lowers the calculated monthly payment because repayment is spread across more months.
Does a shorter loan term reduce total interest?
Under the calculator’s fixed-rate, equal-payment assumptions, a shorter term generally means less total interest, while requiring a higher monthly payment.
How do I compare two loan terms fairly?
Hold the loan amount and APR constant, change only the term, and compare both monthly payment and total interest. If the actual APR or fees differ between offers, include those differences in a broader comparison.
Is APR the same as the interest rate?
Not necessarily. APR is a rate measure used to describe borrowing cost, and lender disclosures may reflect charges in ways this simple calculator does not reproduce. Use the disclosed APR as the input and check what costs are included in the lender’s figures.
Why might my lender’s payment differ?
Differences can result from fees, payment dates, daily rather than monthly interest calculations, rounding, a variable rate, or a final payment adjustment. Review the lender’s repayment schedule for the contract-specific amounts.
This 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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