calculate-loan

01 Loan payments

Home Equity Loan APR Calculator and Payment Guide

Calculator No. 01-3599 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.67
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

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.

A home equity loan APR calculator estimates the monthly payment and total interest on a fixed-rate loan using the amount borrowed, APR, and repayment term. Enter the figures shown in your lender’s disclosure to see the estimated payment and interest; the example defaults are for illustration only.

Formula

The calculator uses the standard fixed-payment loan formula. It converts the annual percentage rate to a monthly rate, then calculates the payment needed to repay the principal over the selected number of months:

Monthly payment = P × r ÷ [1 − (1 + r)−n]

  • P is the amount borrowed, in dollars.
  • r is the monthly rate, calculated as APR ÷ 1,200. For an 8% APR, r = 8 ÷ 1,200 = 0.0066667 per month.
  • n is the term in months: years × 12.
  • APR is entered as a percentage per year, not as a decimal. The calculator treats APR as the rate used for the payment calculation.

Total interest is calculated as monthly payment × n − P. Because the displayed monthly payment is rounded to cents, the total uses that rounded payment. A lender’s actual final payment can differ slightly because of payment dates, rounding, fees, or other contract details.

Worked Example

Using the calculator’s default values—$20,000 borrowed, 8% APR, and a five-year term—the calculation is:

  1. Convert the term: 5 years × 12 = 60 monthly payments.
  2. Convert APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
  3. Substitute the values: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60].
  4. The unrounded payment is about $405.53 per month; rounded to cents, it is $405.53.
  5. Total interest using the rounded payment is $405.53 × 60 − $20,000 = $4,331.80.

Assumptions

  • The APR and payment remain fixed for the full loan term.
  • Payments are equal monthly payments made at the end of each monthly period.
  • Interest is modelled monthly at APR ÷ 12.
  • The estimate excludes lender fees, taxes, insurance, escrow, and any other charges not entered as inputs.

What a Home Equity Loan APR Means

A home equity loan is generally a lump-sum loan secured by a borrower’s home. The APR, or annual percentage rate, is a yearly measure used to express borrowing cost. It may account for certain finance charges as well as the interest rate, but what is included depends on the lender’s disclosure and applicable rules. For a useful estimate, enter the APR and payment term the lender provides rather than assuming the loan’s interest rate and APR are identical.

APR is not the same thing as the monthly rate. The calculator divides the annual percentage by 12 and then by 100, which is why the formula uses APR ÷ 1,200. Entering 0.08 to represent 8% would produce the wrong result; enter 8 instead.

How to Read the Estimate

The monthly payment is the scheduled amount needed to repay the loan under the calculator’s assumptions. The total-interest figure is the estimated interest paid across all scheduled payments; it does not include the original amount borrowed. In the example, the estimated total of payments is $24,331.80, consisting of the $20,000 principal and $4,331.80 in interest.

Changing the principal, APR, or term changes the result. At the same APR and loan amount, a longer term usually produces a lower scheduled payment but more interest over the full term, because payments continue for more months. A larger loan amount raises the payment when the other inputs stay unchanged. These are mathematical effects, not a determination of whether a loan is suitable or affordable.

Costs, Comparisons, and Common Errors

When reviewing loan figures, compare the same amount and term, and check whether each quoted percentage is an interest rate or an APR. Read the lender’s disclosure for fees and the conditions attached to the quoted figures. The calculator does not infer a rate, fee, credit requirement, or loan limit; use the figures actually provided by the lender.

  • Confusing APR with a monthly rate: enter an annual APR such as 8, not 0.08 or 0.006667.
  • Comparing different terms: a payment quote alone can be misleading if one option runs for more months.
  • Forgetting excluded charges: fees or other charges can affect the actual amount paid even if they are not part of this estimate.
  • Assuming the last payment is exact: payment rounding and timing can leave a small difference for the final payment.

A home equity loan is secured by the home. Missing required payments can have serious consequences, including possible loss of the home through the lender’s collection process. The calculator only models payment arithmetic and does not assess the risks, contract terms, or a borrower’s circumstances.

Frequently Asked Questions

What is the difference between a home equity loan interest rate and APR?
The interest rate is the rate applied to the borrowed balance. APR is a broader annual cost measure that may include certain finance charges. Check the lender’s disclosure to see what the quoted APR includes.

Does this calculator show my exact monthly payment?
No. It estimates a level payment from the principal, APR, and term. The lender’s payment schedule may differ because of fees, timing, rounding, or contract details.

Why does a longer loan term reduce the monthly payment but increase total interest?
The principal is spread across more payments, which can reduce each scheduled payment. Interest is charged over a longer period, so the cumulative interest can rise.

Are fees included in the APR calculator?
No separate fees are entered here. APR may reflect certain finance charges, depending on the disclosed calculation, but the calculator does not add or itemize fees.

Can I use the calculator for a variable-rate home equity loan?
It can show an estimate for a single assumed rate, but it does not model rate changes. If the rate changes, future payments and total interest may change too.

Does a lower payment mean a lower-cost loan?
Not necessarily. A lower payment may result from a longer term, which can mean more payments and more interest overall. Compare the full disclosed costs and repayment schedule.

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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