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01 Loan payments

Total 5-Year Loan Ownership Cost Calculator

Calculator No. 01-4368 · 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 monthly payments over a five-year fixed-rate loan, using the loan amount and annual percentage rate (APR) you enter. It returns the monthly payment and total interest as supporting figures; the total paid is the loan principal plus interest, before fees or other ownership expenses.

Formula

The calculator finds a level monthly payment from the standard fixed-rate amortizing-loan formula, rounds that payment to cents, and multiplies it by the number of monthly payments. The formula is:

  • Monthly rate, r = APR ÷ 1,200.
  • Number of payments, n = loan term in years × 12.
  • Monthly payment, pmt = round[p × r ÷ (1 − (1 + r)−n), 2].
  • Total payments, tot = rounded monthly payment × n.
  • Total interest, int = total payments − original principal.

Here, p is the amount borrowed in dollars, APR is the annual percentage rate entered as a percent, r is the monthly rate as a decimal, n is the number of monthly payments, and payment, total, and interest are in dollars. For a five-year term, there are 60 monthly payments. The formula assumes a fixed rate and equal payments; the total shown uses the rounded monthly amount, so it matches the sum of the displayed payments.

Worked Example

Using the calculator’s default inputs—$20,000 principal, 8% APR, and five years:

  1. Convert the APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Calculate the number of payments: 5 × 12 = 60.
  3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = approximately $405.53 per month after rounding to cents.
  4. Multiply the rounded payment by the payment count: $405.53 × 60 = $24,331.80 total payments.
  5. Subtract the principal: $24,331.80 − $20,000 = $4,331.80 total interest.

These are the formula results for the stated inputs, not a quote. A lender’s payment schedule may differ if the APR, payment dates, rounding, fees, or contract terms differ.

What “Total 5-Year Ownership Cost” Means

“Total 5-year ownership cost” can mean different things depending on what is being purchased. This calculator covers the financing portion of a five-year loan: the total scheduled loan payments, including repayment of principal and interest. It does not calculate the full cost of owning a car, home, equipment, or another asset.

For a broader ownership budget, a reader may need to add costs relevant to the purchase, such as a down payment, taxes, insurance, maintenance, utilities, registration, or recurring service. Those amounts depend on the asset, location, contract, and personal use, so they are not safely inferred from a loan amount and APR alone. Enter only the amount actually financed as the loan amount; including a down payment there would count it as borrowed money.

How to Use and Read the Result

  • Loan amount: Enter the principal being financed, not the asset’s full price unless the entire price is borrowed.
  • APR: Use the annual percentage rate supplied for the loan, expressed as a percentage. The calculator converts it to a monthly rate by dividing by 1,200.
  • Term: Enter the repayment duration in years. A five-year term means 60 monthly payments.

The first result is the total of the scheduled monthly payments. The monthly-payment result helps show the payment size, while total interest isolates the amount paid above the original principal under the model. A longer term can change both the payment and the amount of interest; compare calculations only when their inputs and assumptions are understood. A small change in APR or term can affect the result, so use the exact figures in the loan disclosure rather than a rounded estimate where available.

What This Estimate Excludes

The number is not necessarily the cash needed to buy or keep an asset for five years. The model contains no fields for upfront or ongoing costs. It also assumes the full stated term is completed with the same monthly payment and no extra payments, missed payments, rate changes, or early payoff.

  • Fees or charges not included in the principal or APR used in the calculation.
  • Down payment, sales or other taxes, insurance, escrow, and ownership or operating costs.
  • Late charges, optional products, payment-date effects, and any changes to the loan terms.

Some costs may be included in a lender’s disclosed APR or added to the financed balance, depending on the loan. Avoid adding an item twice: if it is already part of the amount borrowed, the calculator’s principal already reflects it; if it is outside the loan, this calculation leaves it out.

Common Calculation Mistakes and Limits

A common error is treating an APR such as 8% as the number 8 in the monthly formula. The conversion is 8 ÷ 1,200, not 8 ÷ 12; the formula expects a decimal monthly rate. Another mistake is multiplying the unrounded theoretical payment by 60 while displaying a cent-rounded payment. This calculator instead totals the rounded monthly payment, so the displayed payment multiplied by the number of months equals the displayed total.

This is a standard estimate for a fixed-rate loan with monthly payments. It does not reproduce a lender’s exact schedule if the contract uses different timing, payment intervals, rate conventions, or rounding. It also does not determine whether a loan is available or suitable. Get the loan amount, APR, term, and any charges from the lender’s documents before relying on an estimate.

Assumptions

  • The interest rate remains fixed for the full term.
  • Payments are equal, made monthly, and the schedule has 12 payments per year.
  • Interest is modelled monthly at APR ÷ 12; the stated APR is converted to a monthly decimal rate.
  • Fees, taxes, insurance, PMI, escrow, down payment, and other ownership costs are not included unless reflected in the principal or rate entered.

Frequently Asked Questions

Does total 5-year cost mean the full cost of owning a car or home?
No. This calculator estimates loan payments over a five-year term. It does not include a down payment or ongoing ownership costs such as insurance, maintenance, utilities, or taxes.

Is total loan cost the same as total interest?
No. Total payments include repayment of the principal as well as interest. In this estimate, total interest is calculated by subtracting the original loan amount from the total of all monthly payments.

Why does the calculator use APR divided by 1,200?
APR is entered as a percent per year. Dividing by 100 converts it to a decimal, and dividing by 12 converts the annual figure to a monthly rate for this formula.

What if I pay off the loan early or make extra payments?
The calculator assumes the scheduled monthly payment continues for the full term. Extra payments or early payoff change the balance and interest; this estimate does not model those changes.

Why might my lender’s total differ?
The lender’s figures may reflect contract-specific payment dates, rounding, fees, or terms that are not included here. Check the loan disclosure for the exact scheduled 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 tot | Total 5-year loan 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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