This calculator estimates the monthly principal-and-interest payment and total interest for a fixed-rate, fully amortizing loan. Enter the amount borrowed, annual percentage rate (APR), and term in years to see the estimated payment and interest; it does not determine how much equity you can borrow.
Formula
The calculator uses the standard fixed-payment formula for a loan repaid in equal monthly installments. First, it calculates the monthly rate as the annual APR divided by 1,200, and the number of payments as the term in years multiplied by 12:
r = APR / 1200n = years × 12Monthly payment = round(P × r / (1 − (1 + r)−n), 2)Total interest = monthly payment × n − P
- P is the amount borrowed, in dollars.
- APR is the annual percentage rate entered as a percentage, such as 8 for 8%.
- r is the monthly rate as a decimal.
- n is the number of monthly payments.
The payment is rounded to the nearest cent before total interest is calculated. The estimate assumes that each payment is the same and that the loan is paid off over the stated term. The term input accepts years, not months.
Worked Example
Using the calculator’s defaults: principal P = $20,000, APR = 8%, and term = 5 years.
- Convert the APR to a monthly decimal rate:
r = 8 / 1200 = 0.0066667. - Find the number of monthly payments:
n = 5 × 12 = 60. - Apply the payment formula:
$20,000 × 0.0066667 / (1 − (1.0066667)−60), which rounds to $405.53 per month. - Calculate total interest using the rounded payment:
$405.53 × 60 − $20,000 = $4,331.80.
These are estimates from the stated formula. A lender’s payment schedule can differ if its calculation uses different dates, payment timing, fees, or rounding practices.
Assumptions
- The interest rate is fixed for the whole term.
- Payments are equal, made monthly, and are assumed to occur at the end of each monthly period.
- Interest compounds monthly at APR divided by 12.
- The calculation excludes fees, taxes, insurance, escrow, and any charges not included in the loan amount or APR input.
What an Equity Loan Repayment Means
An equity loan repayment is a payment made toward a loan secured by equity in an asset. In personal finance, the phrase most often refers to repayment of a home equity loan: a borrower receives a sum of money secured by their home and repays the balance under the loan agreement. A repayment commonly includes principal, which reduces the amount owed, and interest, which is the cost charged for borrowing.
The phrase is descriptive rather than a separate financial product or a special technical formula. “Equity” identifies the source of security or the asset value involved; “repayment” means paying back borrowed money. A home’s equity is generally the difference between its value and the debts secured against it, but this calculator does not estimate home value, available equity, borrowing eligibility, or the amount a lender may offer.
In a sentence: “Her equity loan repayment is due each month under the loan schedule.” The wording is understandable in ordinary finance writing, although people may more specifically say “home equity loan payment” or “repayment of a home equity loan.”
How Repayment Works
With a typical fixed-rate loan paid off in equal installments, the scheduled payment remains level. Early payments generally contain a larger interest share because the outstanding principal is larger. As principal is paid down, the interest portion generally declines and more of each unchanged payment goes toward principal. The formula estimates this pattern but does not display a month-by-month amortization schedule.
For example, the default calculation estimates a $405.53 monthly payment on $20,000 at 8% APR over five years. Across 60 payments, the model totals $24,331.80: $20,000 in principal and $4,331.80 in interest. This arithmetic assumes the full schedule is followed and does not include other charges.
Not every product described as an equity loan has this payment structure. A home equity line of credit, for example, may allow borrowing at different times and can have variable rates or changing payment terms. The fixed-payment formula here is not a model for a revolving credit line, an interest-only period, or a loan with a changing rate. Use the terms and payment schedule supplied for the particular agreement to understand its actual repayment obligations.
Reading the Estimate and Its Limits
The first result is the calculated monthly principal-and-interest payment. Total interest is the estimated interest across the stated term, based on multiplying the rounded monthly payment by the number of payments and subtracting the original principal. Neither figure is necessarily the full amount due each month: a bill may include charges that are not represented by these inputs.
- Enter the loan principal, not the home’s value or the amount of equity you believe you have.
- Enter APR as a percentage: type 8 for 8%, not 0.08.
- Enter the term in years. For instance, 10 means 120 monthly payments.
- Check whether a quoted figure includes fees or other costs before comparing it with this principal-and-interest estimate.
Rounding matters. The calculator rounds the payment to cents and then uses that rounded amount to estimate total interest. A lender may adjust the final payment slightly to clear a small remaining balance, and exact results can vary with payment dates and its rounding method. The model also cannot account for additional payments, late payments, missed payments, rate changes, or a payoff before the end of the term.
Interest rates, fees, and loan terms must come from the actual loan information; the default values are only a numerical example. This is educational estimate arithmetic, not financial advice, and it does not establish eligibility, approval, affordability, or the amount of equity available. The result is an estimate, and the lender’s disclosure gives the exact figures.
Frequently Asked Questions
What is included in an equity loan repayment?
A scheduled repayment usually goes toward principal and interest. A payment due may also include other charges depending on the agreement; this calculator includes only the modeled principal-and-interest amount.
Is an equity loan repayment the same as a home equity loan payment?
In everyday usage, the phrases often refer to the same kind of payment when the equity loan is secured by a home. “Equity loan repayment” is broader and can describe repayment of another loan secured by an asset’s equity.
Does this calculator work for a home equity line of credit?
No. It assumes a fixed-rate loan with equal monthly payments that repay the balance over a set term. A line of credit can have different borrowing, rate, and payment rules that this formula does not model.
Why does the interest portion change if the monthly payment stays the same?
Interest is calculated on the outstanding balance. As principal is paid down, less interest accrues for a later period, so a larger share of the level payment can reduce principal.
Does the estimate include fees or insurance?
No. The inputs and outputs cover principal and modeled interest only. Check the loan documents for any fees, insurance, taxes, or other amounts that affect the actual bill.
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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