calculate-loan

01 Loan payments

Borrowing Equity From Your Home Calculator

Calculator No. 01-11404 · 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.

This home equity borrowing calculator estimates a fixed-rate monthly payment and total interest from the amount borrowed, annual percentage rate (APR), and loan term. Enter the amount you plan to borrow and the terms supplied by a lender; the results show the estimated payment and interest, not how much equity you can access or whether you qualify.

Formula

The calculator uses the standard fixed-payment amortization formula. It first calculates the monthly payment, then multiplies that payment by the number of monthly payments and subtracts the original principal to estimate total interest.

  • p = amount borrowed, in dollars ($).
  • apr = annual percentage rate, entered as a percentage per year.
  • r = monthly interest rate, calculated as apr / 1200.
  • n = total number of monthly payments, calculated as years × 12.
  • pmt = estimated monthly payment, in dollars ($): p × r / [1 − (1 + r)−n].
  • int = estimated total interest, in dollars ($): pmt × n − p.

The payment formula assumes the same payment is made monthly and that interest accrues at a fixed monthly rate. The payment is displayed to the nearest cent; total interest is calculated using the displayed, rounded payment.

Worked Example

Using the calculator’s defaults: amount borrowed p = $20,000, APR 8%, and term 5 years.

  1. Convert APR to a monthly rate: r = 8 / 1200 = 0.0066667, or about 0.66667% per month.
  2. Convert the term to payments: n = 5 × 12 = 60 months.
  3. Calculate the payment: $20,000 × 0.0066667 / [1 − (1 + 0.0066667)−60] = about $405.53 per month, rounded to the nearest cent.
  4. Calculate total interest using that rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

The calculator therefore returns a monthly payment of $405.53 and total interest of $4,331.80 for these inputs.

Assumptions

  • The interest rate stays fixed for the full term.
  • Payments are level monthly payments made at the end of each monthly period.
  • Interest is compounded monthly, using APR divided by 12.
  • Fees, taxes, insurance, property expenses, and any escrow or mortgage-insurance costs are not included.

What Home Equity Borrowing Means

Home equity is the difference between a home’s value and the balances secured against it. For example, if a home is valued at $400,000 and the mortgage balance is $250,000, the simple difference is $150,000. That figure is not necessarily the amount available to borrow. A lender may use its own valuation, account for other property-secured debts, and apply its own eligibility and borrowing limits. Those details are not inputs to this payment calculator.

Home equity may be borrowed through different arrangements, including a home equity loan, a home equity line of credit (HELOC), or a refinance that replaces an existing mortgage with a larger one. Their payment structures differ. This calculator models only a single, fully amortizing loan with one fixed APR and equal payments; it does not model a revolving credit line, variable rate, or replacement mortgage.

How to Use the Estimate

Enter the amount you expect to borrow—not your home’s value or your estimated equity—along with the APR and term quoted for the specific borrowing arrangement. Compare the calculator’s outputs with the lender’s payment schedule and disclosure, checking that the amount financed, rate, and repayment period match.

  • A larger principal generally increases the payment and interest when the rate and term are unchanged.
  • A higher APR generally increases both the payment and total interest for the same principal and term.
  • A longer term generally lowers the scheduled monthly payment but can increase total interest because payments continue for more months.

These are mathematical effects under the stated assumptions, not a judgment about which loan structure to use. The estimated payment also is not a household budget or an approval estimate: it omits other costs and does not assess income, existing debts, property value, or lender criteria.

Costs and Limits to Check

The calculator’s interest estimate is not the total cost of borrowing. Ask the lender for the complete payment schedule and a breakdown of any charges included in or added to the amount borrowed. Also check whether the quoted APR is fixed for the whole term and whether payments can change. The calculator cannot represent charges or changing terms unless they are reflected in the specific inputs and assumptions.

Rounding can cause small differences from a lender’s figures. This example rounds each monthly payment to cents and uses that payment in the total-interest calculation. A lender’s system may retain more precision internally, use different payment dates, or include costs that change the amount financed. Use consistent dollar amounts, APR as a percentage (enter 8 for 8%, not 0.08), and a term in years.

Borrowing against a home also connects the debt to the property. If payments are not made, the consequences can put the home at risk under the loan’s terms and applicable rules. The calculator cannot evaluate that risk or tell you what borrowing amount is appropriate. For a real estimate, use the lender’s written terms and ask how the payment can change over time.

Frequently Asked Questions

How much equity can I borrow from my home?
The calculator does not estimate an available borrowing limit. That depends on the home valuation, debts secured against it, and the lender’s assessment and terms. Ask the lender for the amount it would consider and the assumptions behind it.

Is a home equity loan payment the same as a HELOC payment?
Not necessarily. This tool estimates equal payments on a fixed-rate, fully amortizing loan. A HELOC may have a revolving borrowing period, a variable rate, or a different payment calculation, none of which is modelled here.

Does the estimate include closing costs or fees?
No. It calculates payments and interest from the principal, APR, and term entered. Fees and other charges are excluded unless they have been incorporated into the amount borrowed or are separately shown by the lender.

Why is a lender’s payment different from this calculator?
Check for a different loan amount, APR, term, payment timing, fees, or rounding method. A changing rate or a payment structure that is not a fixed monthly amortizing loan will also produce different figures.

Can I use this for a variable-rate home equity line?
Not reliably. The formula holds the APR constant and assumes a fixed number of equal monthly payments. A variable rate or revolving balance can make actual payments and interest differ.

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.

More in this section

The whole Loan payments section →