Monthly House Payment Calculator and Cost Breakdown

This calculator estimates a fixed-rate loan’s monthly principal-and-interest payment from the loan amount, annual APR, and term, and also calculates total interest. Enter the figures from a lender’s quote; the result does not include property taxes, homeowners insurance, mortgage insurance, or other housing costs.

Formula

The calculator uses the standard fixed-payment, fully amortizing loan formula. Monthly payment equals the loan principal multiplied by the monthly interest rate, divided by one minus (one plus the monthly rate) raised to the negative number of monthly payments:

Payment = P × r ÷ [1 − (1 + r)⁻ⁿ]

• P is the amount borrowed, in dollars.
• r is the monthly interest rate, calculated as the annual APR in percent divided by 1,200.
• n is the term in months, calculated as years × 12.

Total interest is the rounded monthly payment multiplied by the number of payments, minus the original principal. The payment is displayed to the nearest cent; total interest uses that rounded payment so the arithmetic follows the payment shown.

Worked Example

Using the calculator’s default inputs: principal P = $20,000, APR = 8%, and term = 5 years.

1. Convert the APR to a monthly rate: r = 8 ÷ 1,200 = 0.0066667.
2. Convert the term to monthly payments: n = 5 × 12 = 60.
3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)⁻⁶⁰] = $405.53 per month, rounded to cents.
4. Calculate total interest using the displayed payment: $405.53 × 60 − $20,000 = $4,331.80.

So the estimated monthly principal-and-interest payment is $405.53, and estimated interest over the full term is $4,331.80.

Assumptions

• The interest rate stays fixed for the full term.
• Payments are equal monthly payments, made at the end of each monthly period.
• Interest compounds monthly using APR divided by 12.
• The estimate excludes lender fees, taxes, homeowners insurance, mortgage insurance (PMI), escrow, and other costs unless they are included in the loan amount.

What a House Payment Includes

“House payment” can mean different things. This calculator gives only principal and interest: repayment of the amount borrowed and the borrowing cost under the stated rate. A homeowner’s recurring housing bill may also include property taxes and insurance, and sometimes mortgage insurance, association dues, or other charges. Some borrowers pay taxes and insurance separately; others have an escrow account that collects them along with the loan payment. Escrow does not change the principal-and-interest formula, but it can make the amount paid to the servicer each month larger.

To estimate a fuller monthly housing outlay, find the actual monthly amounts for each item and add them to the calculator’s payment. For example, if the loan payment is $1,500 and separately estimated taxes and insurance total $400 per month, the combined monthly outlay would be $1,900 before any other costs. That illustration is arithmetic, not a claim about what any particular home costs.

How Loan Amount, Rate, and Term Change the Payment

The payment depends on all three inputs. A larger principal raises the payment. At the same principal and term, a higher APR raises the payment because more interest accrues each month. A longer term usually lowers the required monthly payment by spreading repayment across more months, while increasing the number of months over which interest can accrue. The total-interest output helps show this trade-off within the model.

When estimating a home loan, use the amount actually being borrowed, not automatically the home’s purchase price. A down payment or other financing can make those figures different. Use the APR and term supplied for the specific loan estimate; rates, fees, and eligibility depend on the lender and circumstances, and this calculator does not determine them. If the quoted rate is variable, this fixed-rate result cannot predict later payment changes.

Using the Estimate Carefully

• Check the units: APR is entered as a percentage per year, such as 6.5, not as 0.065. The formula converts it to a monthly decimal rate.
• Use the correct term: enter years, not months. A 30-year term is entered as 30.
• Separate loan costs from home costs: taxes, insurance, maintenance, utilities, and association charges are not part of the displayed loan payment.
• Account for rounding: the monthly payment is rounded to cents. A lender’s schedule can differ slightly because of its precise dates, rounding, fees, and servicing method.

A mortgage statement or lender disclosure may show additional amounts, and an actual first payment can be affected by closing dates, prepaid interest, or other transaction details. The calculator is useful for comparing the arithmetic of different input combinations, but it cannot reproduce a complete loan offer or determine the full cost of owning a home. It also assumes the scheduled payment is made on time and does not model extra payments, late charges, refinancing, or changes to an adjustable rate.

Frequently Asked Questions

How much is a $200,000 house payment per month?
It depends on the amount borrowed, APR, and term. A purchase price of $200,000 is not necessarily a $200,000 loan: the down payment and any amount financed affect principal. Enter the loan amount and quoted terms above to calculate principal and interest.

Does a house payment include property taxes and insurance?
Not in this calculator. Its result is principal and interest only. Add the actual monthly tax and insurance amounts, plus any other recurring charges, to estimate a broader monthly outlay.

Why does a longer mortgage term lower the monthly payment?
The same principal is repaid over more monthly installments, reducing the required amount per installment under the formula. Because interest accrues over more periods, the total interest can be higher even when the monthly payment is lower.

Is APR the same as the interest rate?
Not necessarily. APR may reflect certain borrowing costs as well as interest, depending on how the lender calculates and discloses it. This calculator treats the entered APR as a nominal annual rate divided by 12; for a precise payment estimate, check which rate the lender’s payment calculation uses.

Why is my lender’s payment different from this result?
The loan amount, rate, term, payment timing, rounding, or included charges may differ. Compare the principal-and-interest portion separately, then check the lender’s disclosure for fees, escrow, taxes, insurance, and any other components.

This result is an estimate, and the lender’s disclosure gives the exact figures.

Related

• Estimated Monthly House Payment Calculator
• Form R Cost: Budgeting for an IRS Form R?
• Estimated House Payment With Down Payment Calculator

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