calculate-loan

01 Loan payments

House Payment Calculator: Estimate Your Monthly Cost

Calculator No. 01-5930 · 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 house payment calculator estimates the monthly principal-and-interest payment from a loan amount, annual APR, and loan term; enter those three figures to see the payment and total interest. It does not calculate a home’s full monthly housing cost, which can also include taxes, insurance, mortgage insurance, and other expenses.

Formula

The calculator uses the standard fixed-rate, level-payment loan formula. It calculates an unrounded monthly payment from the principal, monthly interest rate, and number of monthly payments. The displayed payment is rounded to cents.

  • p is the loan principal, 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: apr ÷ 1,200.
  • n is the number of monthly payments: years × 12.
  • pmt is the monthly principal-and-interest payment, in dollars.
  • int is total interest over the full term, in dollars.

The payment formula is pmt = p × r ÷ [1 − (1 + r)−n]. Total interest is calculated as pmt × n − p, using the payment rounded to cents. The APR input is divided by 1,200 to convert a percentage per year into a monthly decimal rate.

Worked Example

Using the defaults—$20,000 borrowed, 8% APR, and a five-year term—the monthly rate is 8 ÷ 1,200 = 0.0066667, and the term is 5 × 12 = 60 payments.

Substitute those values in the payment formula: $20,000 × 0.0066667 ÷ [1 − (1 + 0.0066667)−60] = approximately $405.53 per month. The total of 60 rounded payments is $405.53 × 60 = $24,331.80. Subtracting the $20,000 principal gives estimated total interest of $4,331.80.

What a House Payment Includes

In everyday conversation, “house payment” may mean the mortgage payment or the entire monthly cost of owning a home. This calculator covers only principal and interest on a fully amortizing loan. Principal repays the amount borrowed; interest is the borrowing cost calculated under the entered rate and term.

A household’s actual monthly housing outlay may also involve items such as:

  • Property taxes, which depend on the property and applicable local assessments.
  • Homeowners insurance and, where applicable, mortgage insurance.
  • Condominium or homeowners association charges.
  • Utilities, maintenance, and repairs, which are ownership costs rather than components of this loan formula.

Some borrowers pay certain recurring charges through an escrow account, while others handle them separately. Either way, adding these amounts to principal and interest can give a more complete budget estimate. Their amounts are not universal inputs, so obtain relevant figures from the appropriate provider or property records.

How to Use and Read the Estimate

Enter the amount borrowed—not necessarily the home’s purchase price—plus the lender’s quoted APR and the loan term in years. A down payment can make the loan principal smaller than the purchase price. If you are comparing scenarios, keep the assumptions clear and change one input at a time to see how the payment responds.

  • A larger principal generally raises the payment when the rate and term stay unchanged.
  • A higher APR generally raises both the scheduled payment and total interest.
  • A longer term generally lowers the scheduled payment but spreads repayment across more months, often increasing total interest under the same APR.

The first result is the scheduled monthly principal-and-interest amount; the second is interest over the full modeled term. Total payments would equal the principal plus the displayed total interest, subject to the calculator’s cent rounding. A real amortization schedule can differ slightly because lenders may use their own rounding and payment-processing conventions.

What This Calculator Does Not Model

This is a simple estimate, not a complete mortgage quote or affordability test. It assumes one fixed APR and equal monthly payments for the entire term. It does not model an adjustable rate, an interest-only period, a balloon payment, late charges, lender fees, closing costs, taxes, insurance, mortgage insurance, escrow, or extra payments.

The APR and loan amount are inputs, not predictions. Use figures supplied for the specific loan under consideration; do not treat the example’s 8% APR as a current market rate or an offer. If a quoted product has fees or payment changes, its disclosed schedule may not match this calculation.

Common Questions and Misunderstandings

One frequent misconception is that the calculator’s monthly result is the full cost of owning the home. It is not: it covers principal and interest only. Another is that a lower payment always means a lower total borrowing cost. A longer repayment term can reduce the monthly amount while increasing the total interest paid, so both outputs matter when examining loan arithmetic.

Also distinguish the home’s price from the amount financed. A down payment, financed costs, or other adjustments can make those numbers different. For a useful estimate, enter the principal that would actually be borrowed rather than automatically entering the listing price.

Frequently Asked Questions

How much is a $200,000 house payment?
The amount depends on the loan’s APR and term, as well as how much is borrowed. Enter those figures in the calculator; the result is principal and interest, not taxes, insurance, or other housing costs.

Does a house payment include property tax and insurance?
Not in this calculator. It estimates principal and interest only. Taxes and insurance may be paid separately or included in an escrow collection, depending on the arrangement.

Is the APR the same as the interest rate?
They are related but not always identical. APR is a borrowing-cost disclosure that can reflect certain costs as well as interest, under applicable calculation conventions. This calculator uses the entered APR as the fixed annual rate in its payment formula, so a lender’s payment calculation may differ.

Why does a longer mortgage term lower the monthly payment?
The principal is divided across more scheduled payments, reducing the amount due each month under the model. Interest accrues across the repayment period, so extending the term can increase total interest.

Does the estimate include a down payment?
No. A down payment affects the loan amount, but it is not itself a monthly payment. Enter the resulting amount borrowed as the principal.

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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