calculate-loan

01 Loan payments

HE Loan Payment Calculator and Formula

Calculator No. 01-6444 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.80
= 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 (HE) loan payment is the regular amount paid to repay a fixed loan over a stated term; this calculator estimates the monthly principal-and-interest payment from the loan amount, APR, and term. Enter those three figures to see the estimated monthly payment and total interest, using a fixed-rate monthly-payment formula.

Formula

The calculator assumes a fixed annual percentage rate and equal monthly payments. It converts the APR to a monthly rate, calculates the payment that amortizes the balance to zero over the term, rounds that payment to cents, then estimates total interest from the rounded payment.

  • P = loan principal, in dollars.
  • APR = annual percentage rate, entered as a percent per year.
  • r = monthly rate, calculated as APR ÷ 1,200.
  • n = number of monthly payments, calculated as years × 12.
  • M = monthly principal-and-interest payment, in dollars.

The payment formula is M = P × r ÷ [1 − (1 + r)−n]. Estimated total interest is M × n − P. Because the monthly payment is rounded to the cent before the total is calculated, the result reflects repeated payments at that rounded amount. A lender’s final payment can differ slightly because of its exact accrual and rounding practices.

Worked Example

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

  1. Convert the APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Find the number of payments: 5 × 12 = 60.
  3. Substitute into the formula: M = 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60].
  4. The monthly payment rounds to $405.53.
  5. Estimated total interest: $405.53 × 60 − $20,000 = $4,331.80.

Assumptions

  • The interest rate is fixed for the full term.
  • Payments are equal, made monthly, and begin on the assumed regular schedule.
  • Interest is modelled monthly at APR ÷ 12.
  • Fees, taxes, insurance, property-related costs, and any escrow amounts are not included.

What a Home Equity Loan Payment Includes

A home equity loan is borrowing secured by equity in a home. Unlike a revolving credit line, a traditional home equity loan generally provides a set principal amount that is repaid through scheduled installments. This page calculates only the installment’s principal-and-interest portion. The term “HE loan” can mean different things in informal searches, so confirm that the product being discussed is a home equity loan rather than a home equity line of credit (HELOC); a revolving line can have different draw, repayment, and rate features that this formula does not model.

Each scheduled payment covers interest accrued for the period and reduces principal by the remainder. At the beginning of a fully amortizing loan, the balance is larger, so more of the payment goes toward interest. As principal falls, the interest portion typically falls and the principal portion grows. With the fixed-rate assumptions above, the scheduled payment remains level, apart from possible lender-specific final-payment adjustments.

How to Use and Interpret the Estimate

Enter the principal amount you expect to borrow, the APR supplied for the specific loan offer, and the repayment term in years. The example values are illustrative inputs, not a statement about available rates or loan terms. Get the applicable rate, fees, and payment schedule from the lender’s written disclosure.

The first output is the estimated monthly payment. The second is the sum of estimated payments above the principal, under the stated assumptions. It is not the total cash cost of homeownership or borrowing if the loan has fees or other charges. For example, the default calculation shows 60 payments of $405.53, or $24,331.80 in scheduled payments; subtracting the $20,000 principal gives $4,331.80 in estimated interest.

The amount actually due each month may include items not in this calculation. Check the loan documents for any fees, required add-ons, payment dates, and whether the quoted APR incorporates charges. A rate or term change can materially alter both the payment and the total interest, so use the figures for the exact offer being reviewed rather than relying on a generic example.

Common Calculation Limits and Mistakes

  • Confusing APR and monthly rate: enter the annual APR as a percentage, such as 8 for 8%. The formula divides by 1,200; do not enter 0.08 as the APR.
  • Using the wrong term units: this calculator asks for years and converts them to months. A five-year term means 60 monthly payments.
  • Assuming all payment components are included: the result is principal and interest only, not a complete housing-cost figure.
  • Treating the rounded estimate as a payoff quote: cents rounding and exact payment dates can cause a small difference. The lender’s schedule controls the actual amounts.
  • Applying it to a variable-rate or revolving product: a changing rate, interest-only period, changing balance, or line-of-credit draw cannot be represented by this fixed-payment calculation.

The formula also assumes the borrower makes every scheduled payment as modelled and that there are no extra payments, missed payments, or changes to the balance. It does not calculate eligibility, collateral value, or approval terms. It is arithmetic for an estimate, not financial advice.

Frequently Asked Questions

How do I calculate a home equity loan payment?
Convert APR to a monthly rate by dividing the percentage by 1,200, convert the term to monthly payments, and use the fixed-payment formula shown above with the principal.

Is a home equity loan payment the same as a HELOC payment?
Not necessarily. A home equity loan is commonly structured as a set amount repaid over a term, while a HELOC is a revolving line whose balance and payment structure may change. This calculator models only a fixed-rate, fully amortizing loan.

Does this estimate include fees or taxes?
No. It estimates principal and interest. Review the lender’s disclosure for any fees or other amounts that may affect the payment or total cost.

Why does total interest change when the term changes?
A longer term means more monthly payment periods. Even if the payment is lower, interest can accrue over more periods; the calculator recomputes both figures from the entered term and rate.

Can I use this calculator for a variable-rate loan?
Only as a limited illustration using one assumed rate. It cannot predict future payments when the rate or balance changes.

The 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 | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 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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