This calculator estimates a loan’s total cost as the principal borrowed plus the interest paid over the full term, using a fixed APR and equal monthly payments. Enter the loan amount, APR and term to see the monthly payment and estimated total interest; add those two outputs to get the total of payments.
Formula
For this loan calculator, the total amount paid is principal plus total interest. It calculates the fixed monthly payment first, rounds that payment to cents, and then uses the rounded payment for the interest total:
- Monthly rate: r = APR / 1,200, where APR is the annual percentage rate entered as a percent.
- Number of payments: n = 12 × years.
- Monthly payment: M = P × r / [1 − (1 + r)−n], rounded to the nearest cent.
- Total interest: I = M × n − P.
- Total of payments: T = P + I, or equivalently M × n.
P is the original loan principal in dollars, r is the monthly rate as a decimal, M is the monthly payment in dollars, n is the number of monthly payments, I is total interest in dollars, and T is the total paid in dollars. The displayed calculator outputs the payment and interest; add them to obtain T. Because the payment is rounded to cents before interest is calculated, the total follows the stated payment-rounding convention.
Worked Example
Using the calculator’s default inputs: P = $20,000, APR = 8%, and term = 5 years.
- Convert the APR to a monthly decimal rate: r = 8 / 1,200 = 0.0066667.
- Find the number of payments: n = 5 × 12 = 60.
- Apply the payment formula: M = 20,000 × 0.0066667 / [1 − (1.0066667)−60] ≈ $405.53 per month, rounded to cents.
- Calculate total payments using that rounded amount: $405.53 × 60 = $24,331.80.
- Subtract principal to find interest: $24,331.80 − $20,000 = $4,331.80.
So the estimated total of payments is $24,331.80, of which $4,331.80 is interest and $20,000 is repayment of principal. A lender’s actual payment schedule can differ if its payment dates, rounding, rate structure or charges differ from these assumptions.
What Total Cost of Ownership Means
Total cost of ownership, or TCO, is a broad way to describe the full cost of acquiring and using something over a chosen period, rather than looking only at its purchase price. For a loan, people may use the phrase to mean the total paid to repay the loan. That figure includes principal and interest, but it is not necessarily the complete cost of owning the asset financed.
For example, financing a car can involve loan payments as well as fuel, maintenance, registration, insurance and depreciation. Financing a home may involve expenses beyond the loan, such as property-related costs, upkeep and transaction charges. Those expenses depend on the asset and the borrower, and this calculator does not estimate them. It calculates only the standard repayment arithmetic from the three inputs.
How to Use and Interpret the Estimate
Use the amount actually borrowed as the loan amount, rather than the asset’s sticker price or a down payment. Enter the APR and term shown in the lender’s written quote or disclosure if you are checking a specific offer. The result is a mathematical estimate under fixed-rate, monthly-payment assumptions—not a quote, approval decision or personal financial recommendation.
- Monthly payment is the regular amount implied by the inputs and formula.
- Total interest estimates the cost of borrowing over all scheduled payments, apart from fees and other charges.
- Total of payments is principal plus interest. It can help compare repayment totals when the compared calculations use consistent assumptions.
A longer term generally produces more scheduled payments and, with a positive rate, more total interest when the same principal and APR are used. It may also produce a lower monthly payment. Those arithmetic relationships do not account for the full costs or circumstances involved in a borrowing decision.
What This Calculator Leaves Out
The formula assumes one fixed APR, equal monthly payments, and a monthly rate equal to APR divided by 12. It does not model a variable rate, an introductory rate that later changes, an interest-only period, skipped or irregular payments, early payoff, or extra principal payments. It also excludes origination and other fees, taxes, insurance, escrow, late charges and any costs of owning the financed item.
APR may reflect certain borrowing costs in a lender’s calculation, but the calculator treats the entered APR simply as the rate used in the monthly-payment formula. It does not separately add fees merely because they may be represented in an APR disclosure. Check the loan documents to see which costs are included and how the quoted APR and payment were determined.
Common Calculation Mistakes
- Entering a percent as a decimal: Type 8 for 8%, not 0.08. The formula divides the entered annual percentage by 1,200.
- Using the wrong principal: The principal should be the amount financed. If a fee is added to the balance, include it only if it is actually part of the borrowed amount and you want to model it.
- Comparing different terms or rates: A total is meaningful only alongside its assumptions. Keep the principal, APR convention and repayment period clear when comparing estimates.
- Assuming total payments equal total ownership cost: Payments omit expenses that may arise from buying, maintaining or using an asset.
- Overlooking rounding: Payments are rounded to cents. A lender may handle the final payment or daily interest differently, so small discrepancies can occur.
Frequently Asked Questions
How do I calculate total cost of ownership for a loan?
For this estimate, calculate the monthly payment from principal, APR and term, multiply the cent-rounded payment by the number of monthly payments, and interpret the result as total payments. Subtract the principal to find total interest.
Is total cost of ownership the same as total loan repayment?
No. Total loan repayment usually means principal plus interest, and sometimes loan charges if specified. Total cost of ownership can also include the costs of buying, using and maintaining the financed asset.
Does this calculator include loan fees?
No. It uses the entered APR and principal in the payment formula but has no separate fee input. Consult the lender’s disclosure for itemized charges and the exact payment schedule.
Why can a longer loan term cost more overall?
With the same principal and a positive fixed rate, a longer schedule usually means interest accrues over more monthly periods. The payment may be smaller, while the total paid can be larger.
Why does my lender’s total differ from this estimate?
Possible reasons include fees, payment timing, a variable rate, a different amount financed, daily-interest conventions, rounding, or a final payment adjusted to clear the remaining balance. Compare the assumptions with the lender’s disclosure.
Assumptions
- The interest rate is fixed throughout the term.
- Payments are equal monthly payments, made at the end of each monthly period.
- Interest is modelled monthly at APR divided by 12.
- Fees, taxes, insurance, PMI, escrow, and ownership or maintenance expenses are not included.
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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