calculate-loan

05 Mortgage and home equity

Home Equity Loan Calculator: Monthly Payment

Calculator No. 05-0271 · 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 calculator estimates your fixed monthly principal-and-interest payment from the amount borrowed, APR, and repayment term; it also shows total interest over the term. Enter the loan figures offered by a lender to see an estimate, not an approval decision or a complete bill.

Formula

The calculator applies the standard fixed-payment loan formula. Let P be the amount borrowed in dollars, a the annual percentage rate (APR) as a percentage, r = a / 1200 the monthly rate as a decimal, and n = 12 × years the number of monthly payments. The payment is:

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

Total interest is estimated as (monthly payment × n) − P. The payment is rounded to cents before total interest is calculated, so the total reflects the displayed monthly amount. The formula assumes a positive rate and equal monthly payments; it does not calculate lender-specific charges.

Worked Example

Using the calculator’s defaults: a $20,000 loan, 8% APR, and a five-year term.

  1. Convert the annual APR to a monthly decimal rate: 8 ÷ 1200 = 0.0066667.
  2. Convert the term to payments: 5 × 12 = 60 months.
  3. Apply the formula: $20,000 × 0.0066667 ÷ [1 − (1 + 0.0066667)−60] ≈ $405.53 per month.
  4. Calculate total interest using the rounded payment: ($405.53 × 60) − $20,000 = $4,331.80.

So the example produces an estimated monthly principal-and-interest payment of $405.53 and total interest of $4,331.80 over 60 payments.

Assumptions

  • The interest rate stays fixed for the full term.
  • Payments are made monthly, with the first payment one month after borrowing.
  • Interest is modelled monthly at APR divided by 12.
  • The estimate excludes fees, taxes, insurance, PMI, escrow, and any lender-specific charges or payment adjustments.

How Home Equity Loan Payments Work

A home equity loan provides a lump sum that is generally repaid through scheduled installments. In a fixed-rate, fully amortizing example, each payment covers that month’s interest and reduces the principal. Early payments usually devote a larger share to interest because the outstanding balance is higher; later payments devote more to principal. The payment formula spreads repayment across the specified number of months so that the balance is scheduled to reach zero at the end, subject to the contract’s actual terms and rounding.

Home equity is the difference between a home’s value and amounts owed against it, but this calculator does not determine how much a lender may let someone borrow. The loan amount is an input, and eligibility, available borrowing amount, and contract terms are outside the calculation. Ask the lender for the actual amount, APR, term, payment schedule, and any additional charges before relying on an estimate.

How to Use the Estimate

  • Loan amount: Enter the proposed principal, not the home’s value or the amount of equity. If a fee is added to the balance, use the financed amount only if it is included in the loan figures you are modelling.
  • APR: Enter the lender’s quoted annual percentage rate as a percentage, such as 8 for 8%. Do not enter 0.08. The calculator converts percentage APR to a monthly rate by dividing by 1,200.
  • Term: Enter the repayment length in years. The calculator converts it to 12 monthly payments per year.

Change one input at a time to see how the payment responds mathematically. A larger principal or rate raises the calculated payment when the other inputs stay fixed. A longer term generally lowers the scheduled monthly payment but means payments continue for more months; the resulting total interest can be higher. These are formula effects, not a judgment about which loan terms are appropriate.

Costs and Limits the Calculator Does Not Show

The result is principal and interest only. A real payment or the overall cost of borrowing may also involve charges not represented by the three inputs. Check the lender’s written figures for any origination or closing costs, payment due dates, and whether costs are paid separately or added to principal. Taxes and insurance are not included, and a home equity loan’s payment should not be confused with a full mortgage or housing-cost estimate.

APR is used here as a nominal annual rate divided by 12, as required by the standard monthly-payment calculation. Actual disclosures can use conventions and include cost components that this simple model does not reproduce. Variable rates, interest-only periods, balloon payments, skipped or irregular payments, and changes to the balance also do not fit this level-payment formula. If any apply, the calculator’s result will not describe the complete payment schedule.

Common Calculation Mistakes

  • Entering an APR as a decimal rather than a percentage: 8% belongs in the field as 8.
  • Using the home’s estimated value instead of the actual loan principal.
  • Comparing estimates with different terms or amounts as if they were equivalent.
  • Treating total interest as the total amount repaid. The estimated total repayment is principal plus interest; this calculator displays interest separately.
  • Assuming rounding eliminates small differences. A lender’s payment schedule may differ by cents because of its precise day-count, rounding, first-payment date, or contract details.

Frequently Asked Questions

How do I calculate a home equity loan monthly payment?
Use the fixed-payment formula: principal times monthly interest rate, divided by one minus (one plus the monthly rate) raised to the negative number of monthly payments. Convert APR to a monthly decimal by dividing by 1,200 and years to months by multiplying by 12.

Does a home equity loan calculator include taxes and insurance?
No. This calculator estimates principal and interest only. It does not add taxes, insurance, escrow, PMI, or lender fees.

Why does a longer loan term lower the monthly payment?
The same principal is spread across more scheduled payments. A longer repayment period can also increase total interest because interest accrues over more months.

Is a home equity loan payment fixed?
This estimate assumes a fixed APR and equal monthly payments. Whether an actual loan has fixed payments depends on its contract; check the lender’s disclosure for the rate structure and schedule.

Can this calculator tell me how much I can borrow?
No. It calculates a payment for the loan amount you enter. It does not estimate home value, available equity, lender limits, eligibility, or approval.

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 | $ | 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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