calculate-loan

01 Loan payments

Estimated Total Loan Cost Calculator

Calculator No. 01-6120 · Updated · Formula and assumptions shown below

The calculator on this page is switched off while it is checked. The formula is below, and the worked example shows how to do the sum by hand.

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

This calculator estimates the total of the scheduled monthly payments on a fixed-rate loan, using the amount borrowed, APR, and term you enter. It also shows the monthly payment and total interest; the total cost here means payments over the full term, not fees or other expenses.

Formula

The estimated total cost of scheduled payments is the monthly payment multiplied by the number of monthly payments. The monthly payment is calculated using the standard fixed-rate, fully amortizing loan formula and rounded to the nearest cent before calculating the total.

  • P = principal, or loan amount, in dollars.
  • APR = annual percentage rate entered as a percentage, such as 8 for 8%.
  • r = monthly interest rate, calculated as APR ÷ 1,200.
  • n = number of monthly payments, calculated as loan term in years × 12.
  • M = monthly payment in dollars: M = round[P × r ÷ (1 − (1 + r)−n), 2].
  • T = estimated total payments in dollars: T = M × n.
  • I = estimated total interest in dollars: I = T − P.

Because the payment is rounded to cents first, total interest is based on the displayed payment repeated for the full term. Real statements may differ slightly due to payment dates, daily interest calculations, rounding conventions, or a final adjusted payment.

Worked Example

Using the calculator’s default values—$20,000 principal, 8% APR, and a five-year term—there are 5 × 12 = 60 monthly payments. The monthly rate is 8 ÷ 1,200 = 0.0066667.

  1. Calculate the payment: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60].
  2. The payment before cent rounding is about $405.53, so the scheduled monthly payment is $405.53.
  3. Multiply the rounded payment by the payment count: $405.53 × 60 = $24,331.80 estimated total payments.
  4. Subtract principal: $24,331.80 − $20,000 = $4,331.80 estimated total interest.

The total is the sum of 60 scheduled payments, not the amount borrowed plus every possible borrowing expense. The loan’s actual payment schedule may differ if the lender uses a different calculation or adjusts the last payment.

Assumptions

  • The interest rate is fixed for the entire term.
  • Payments are equal monthly payments made at the end of each monthly period.
  • Interest is modelled monthly at APR ÷ 12; the APR is treated as a nominal annual rate for this formula.
  • The loan is fully repaid through the scheduled payments, with no skipped, late, or extra payments.
  • Fees, taxes, insurance, PMI, escrow, and other charges are not included unless reflected in the amount and rate you enter.

What “Estimated Total Cost” Includes

In this calculator, “estimated total cost” is specifically the total of scheduled loan payments. It includes repayment of the principal and the interest implied by the entered APR. The principal is money borrowed, not an extra financing charge; the interest is the additional amount attributed to borrowing under the model.

The phrase can mean something broader in other contexts. A loan’s overall out-of-pocket cost might include origination or closing charges, account fees, insurance, taxes, or expenses associated with the purchase financed by the loan. Those items are not calculated here. To estimate a broader amount, identify each applicable cost from the lender’s written figures and add it separately; do not assume a fee is included merely because it is part of a loan transaction.

For example, a $20,000 loan with a five-year schedule does not have a $24,331.80 total simply because that amount is guaranteed to be paid. That figure follows only if the stated principal, APR, term, payment timing, and fixed-payment assumptions match the actual contract and the borrower makes all payments as scheduled.

How to Use and Read the Estimate

Enter the loan principal, the APR supplied for the specific loan, and the term in years. The calculator returns total scheduled payments first, then the rounded monthly payment and estimated interest. The APR is entered as a percentage: enter 8 for 8%, not 0.08. The term is in years, so a 30-month term is 2.5 years.

  • Monthly payment: the estimated amount due each month under the formula.
  • Estimated total payments: monthly payment multiplied by the full number of months.
  • Total interest: total payments minus the original principal.

Changing any input changes the estimate. A longer term generally creates more payment periods, while the monthly payment formula also changes with the term. The relationship between term, payment size, and total interest is not captured by looking at the monthly payment alone: compare the total and the assumptions as well. This is arithmetic, not a recommendation about whether to borrow or which loan to select.

Limits and Common Mistakes

The calculation assumes a fixed rate and level payments. It does not model adjustable rates, interest-only periods, balloon payments, deferred interest, variable payment schedules, or fees added to the balance. If an agreement has any of these features, this standard estimate will not reproduce its full payment schedule.

  • Entering APR as a decimal rather than a percentage changes the result substantially.
  • Entering months in the years field makes the term 12 times longer than intended.
  • Using an advertised or illustrative rate instead of the rate actually offered gives only a scenario, not a lender quote.
  • Rounding a monthly payment before multiplying can create a small difference from a lender’s unrounded internal schedule.
  • Comparing total payments without accounting for different loan amounts or terms can be misleading; the calculator’s result depends on all three inputs.

Use figures from the loan’s written disclosure or repayment schedule for a contract-specific comparison. The calculator cannot verify rates, fees, eligibility, approval, or any terms supplied by a lender. The result is an estimate, and the lender’s disclosure gives the exact figures.

Frequently Asked Questions

How do I calculate the estimated total cost of a loan?
Calculate the fixed monthly payment from the principal, APR, and term, round that payment to cents, then multiply it by the number of monthly payments. This calculator also subtracts principal from total payments to estimate interest.

Does estimated total cost include interest?
Yes. The total shown is all scheduled payments, which include principal repayment and estimated interest. It does not automatically include separate fees, insurance, taxes, or other charges.

Is total loan cost the same as total interest?
No. Total payments include the borrowed principal as well as interest. Total interest is calculated here as total payments minus the original principal.

Why might my lender’s total differ?
The lender may use different payment dates, daily interest, fees, a different rounding method, or terms not represented by a fixed-rate amortization formula. The lender’s disclosure or payment schedule reflects the actual agreement.

Can I use this for a variable-rate loan?
Only as a fixed-rate scenario for the APR entered. The estimate does not predict future rate changes or recalculate payments when a variable rate changes.

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 tot | Estimated total payments | $ | pmt * yrs * 12 | 2
out pmt | Monthly payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 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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