This calculator estimates the total of the monthly payments over a fixed-rate loan’s full term, which is the basic round-trip repayment cost. Enter the loan amount, APR and term to see the monthly payment and total interest; the total paid is the loan amount plus interest, before fees or other charges.
Formula
The calculator uses a standard fixed-rate, fully amortizing loan payment formula. It first finds the monthly payment, rounds that payment to the nearest cent, then multiplies it by the number of monthly payments:
Monthly payment: M = round[P × r ÷ (1 − (1 + r)−n), 2]
Total round-trip cost: T = M × n
Total interest: I = T − P
- P is the amount borrowed, in dollars.
- APR is the annual percentage rate entered as a percentage; the monthly rate is r = APR ÷ 1200.
- n is the total number of monthly payments, calculated as loan term in years × 12.
- M is the monthly payment in dollars, rounded to cents.
- T is the total of all scheduled payments in dollars.
- I is the interest portion of that total in dollars.
The total is based on the rounded monthly payment, so multiplying the displayed payment by the payment count reproduces the displayed total. It is not simply the principal: scheduled interest is included. Fees and other costs are not included unless they are financed into the entered loan amount.
Worked Example
Using the calculator’s default inputs—$20,000 borrowed, 8% APR and a five-year term—the number of monthly payments is 5 × 12 = 60. The monthly rate is 8 ÷ 1200 = 0.0066667.
Substitute those values into the payment formula:
M = round[20,000 × 0.0066667 ÷ (1 − (1 + 0.0066667)−60), 2] = $405.53 per month.
The total of the scheduled payments is $405.53 × 60 = $24,331.80. Estimated total interest is $24,331.80 − $20,000 = $4,331.80. The result assumes every payment is made on schedule and the payment amount remains unchanged.
Assumptions
- The interest rate is fixed for the entire term.
- Payments are equal monthly payments made at the end of each monthly period.
- Interest compounds monthly at APR ÷ 12.
- The calculation does not include fees, taxes, insurance, PMI or escrow. It also does not model late payments, skipped payments, extra payments or a changing rate.
What “Total Round Trip Cost” Means
In a loan context, “total round trip cost” is not a universally standardized loan term. It generally refers to the full amount paid from borrowing through repayment. For this calculator, it means the total scheduled monthly payments: principal plus the interest generated under the stated assumptions. If a lender or another calculator uses the phrase differently, check which charges and payments it counts.
For example, the default example’s $24,331.80 is the sum of 60 monthly payments. Of that amount, $20,000 repays the original principal and $4,331.80 is calculated interest. An origination charge paid upfront, an annual account fee, or a charge for optional coverage could increase a borrower’s out-of-pocket total without appearing here. A fee added to the loan balance may affect the estimate indirectly because it increases the amount entered as the loan amount.
How to Use and Read the Estimate
Enter the principal you expect to borrow, the APR stated for the loan, and the term in years. The APR should be entered as a percentage number: for example, enter 8 for 8%, not 0.08. The term field accepts years, so a 30-month term is 2.5 years. The calculator converts years to months for its payment calculation.
Read the outputs in this order:
- Monthly payment: the modelled regular payment, rounded to the nearest cent.
- Total round-trip cost: the displayed monthly payment multiplied by the number of months.
- Total interest: the amount above the original principal under the model.
These figures help distinguish a manageable-looking monthly amount from the cumulative payments over a longer term. For instance, changing a term changes both the number of payments and the payment amount; a longer term does not mean the calculator is charging a separate fee, but it can produce a different total interest under the same APR. To compare estimates, keep the amount and assumptions consistent and confirm whether each quoted figure includes the same fees.
Limits and Common Calculation Mistakes
This is a mathematical estimate, not a payoff quote or a lender’s final disclosure. Actual loan contracts can specify payment dates, day-count methods, variable rates, fees, and rounding procedures that differ from this simplified monthly model. A lender’s quoted APR may also reflect costs that this calculator does not separately itemize; use the lender’s actual figures and ask what is included.
- Entering the rate incorrectly: The APR field expects a percent, so 8 means 8% annually.
- Mixing years and months: The term input is years. Entering 60 for a 60-month loan would be interpreted as 60 years.
- Confusing total paid with interest: Total cost includes repayment of the borrowed principal; interest is the excess over principal in this model.
- Ignoring fees: Upfront or recurring costs not entered as part of the principal are absent from the outputs.
- Rounding each step differently: The calculator rounds the monthly payment to cents before multiplying by the number of payments, so a result may differ slightly from a calculation that retains unrounded values throughout.
For an exact payoff amount, request a payoff statement from the loan servicer. The amount due on a particular date can differ from the scheduled-payment total because of timing, accrued interest, fees, or contract-specific terms.
Frequently Asked Questions
Does total round-trip cost include the amount borrowed?
Yes. Here it is the sum of all scheduled payments, including both principal repayment and interest. The interest output shows only the amount above the entered principal.
Are fees included in the total?
No. The calculator excludes fees unless they are included in the loan amount entered. Check the lender’s disclosure for charges that apply to the specific loan.
Why does the calculator round the monthly payment first?
Regular payments are generally expressed in cents. Multiplying the rounded payment by the number of payments makes the displayed total match the payment schedule shown by this calculator.
Is the result the exact amount needed to pay off a loan?
No. It estimates the total of scheduled payments under fixed-rate assumptions. A payoff quote for a particular date may include accrued interest or other contract-specific amounts.
What if my interest rate can change?
This calculator assumes the entered APR remains fixed throughout the term. It cannot represent future rate changes, so its total may not match a variable-rate loan’s eventual payments.
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 | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2 out tot | Total round-trip cost | $ | pmt * yrs * 12 | 2 out int | Total interest | $ | tot - 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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