House Payment Calculator With Escrow and PMI

This house payment calculator estimates your monthly principal and interest, property taxes, homeowners insurance, and private mortgage insurance (PMI). Enter the home price, down payment, interest rate, loan term, annual tax and insurance estimates, and PMI rate to see an estimated monthly total and its components.

Formula

The calculator adds four estimated monthly amounts: principal and interest, property-tax escrow, homeowners-insurance escrow, and PMI. Its payment formula is:

M = P × r ÷ [1 − (1 + r)⁻ⁿ] + T ÷ 12 + H ÷ 12 + (P − D) × q ÷ 1200

• M is the estimated monthly total in dollars.
• P is the home price in dollars; the calculation treats it as the loan principal basis.
• D is the down payment in dollars, so the estimated starting loan balance is P − D.
• r is the monthly interest rate, calculated as annual APR divided by 1,200.
• n is the number of monthly payments, calculated as the term in years times 12.
• T is estimated annual property tax in dollars; H is estimated annual homeowners insurance in dollars.
• q is the entered annual PMI rate as a percentage. Dividing by 1,200 converts that annual percentage into a monthly decimal rate.

Escrow here means the monthly tax and insurance amounts set aside for bills, not a separate loan charge. The result assumes those yearly costs are spread evenly across 12 months. PMI is estimated using the original loan amount throughout; actual PMI billing can depend on the loan and may change or end under applicable terms.

Worked Example

Using the calculator’s default inputs: a $300,000 price, $60,000 down payment, 6.5% APR, 30 years, $3,600 annual property tax, $1,200 annual insurance, and a 0.5% annual PMI rate:

1. Loan amount for the estimate: $300,000 − $60,000 = $240,000.
2. Monthly interest rate: 6.5 ÷ 1,200 = 0.0054167; number of payments: 30 × 12 = 360.
3. Principal and interest: $240,000 × 0.0054167 ÷ [1 − (1 + 0.0054167)⁻³⁶⁰] = $1,517.40 per month, rounded to cents.
4. Escrow estimate: ($3,600 + $1,200) ÷ 12 = $400.00 per month.
5. PMI estimate: $240,000 × 0.5 ÷ 1,200 = $100.00 per month.
6. Total: $1,517.40 + $400.00 + $100.00 = $2,017.40 per month.

The displayed figures are estimates based on the inputs, not a quote or a prediction of a lender’s final payment.

Assumptions

• The interest rate stays fixed for the full entered term.
• There are 12 equal monthly payments per year, with payments made at the end of each month.
• Interest compounds monthly at APR divided by 12.
• Property taxes and insurance are divided evenly into monthly escrow estimates. Actual bills and escrow collections may vary.
• PMI is estimated as a constant annual percentage of the initial loan amount.
• Points, lender fees, other closing costs, HOA dues, utilities, maintenance, tax or insurance changes, and any other charges are excluded.

What Escrow and PMI Mean

A mortgage payment is often discussed as principal, interest, taxes, and insurance. Principal repays the borrowed amount; interest is the cost calculated on the outstanding balance. A mortgage servicer may collect property taxes and homeowners insurance along with the loan payment and hold those funds in an escrow account until the bills are due. Whether escrow is required or how it is managed depends on the particular loan arrangement.

PMI is a separate mortgage-insurance cost that may apply to some conventional loans with a down payment below a required threshold. It protects the lender, not the homeowner, against certain losses if a loan is not repaid. The calculator does not determine whether PMI applies or how much a lender will charge; enter the actual quoted amount or a clearly labeled estimate. Do not confuse PMI with homeowners insurance, which covers insured property risks under its policy.

How to Use and Interpret the Estimate

• Use the home price and down payment that match the scenario you want to estimate. The down payment must not exceed the price; otherwise the loan amount would be negative and the result is invalid.
• Enter the annual interest rate and term from a loan estimate or other specific scenario. The APR is used as a nominal annual rate divided into monthly periods; a lender’s disclosed payment can differ because of loan details and fees.
• Enter annual property taxes and homeowners-insurance costs, not monthly amounts. If a bill is already monthly, multiply it by 12 before entering it.
• Enter PMI as a yearly percentage, such as 0.5 for one-half of one percent, not 0.5 as a decimal fraction or a monthly dollar charge. If the lender quotes PMI in dollars per month, use that quote separately rather than treating it as a percentage.

The first result is a combined monthly estimate; the separate outputs help identify what is driving it. Escrow is not necessarily the amount due every month in practice: annual bills can be reassessed, and escrow accounts can be adjusted when costs or collections change. The estimate also omits any mortgage-related costs that are not explicitly entered, so it is not a complete household budget.

Common Errors and Calculator Limits

A frequent mistake is comparing this total with a principal-and-interest-only quote. Those figures cover different things. Another is using a down payment as the loan amount: this model calculates the loan basis as price minus down payment. If a financed fee or other amount changes the actual principal, enter a price/down-payment scenario that reflects the principal being modeled, or compare against the lender’s amortization figures.

The PMI estimate is deliberately simple. A real policy’s charge and duration may depend on lender and loan terms, and the amount may not remain a fixed percentage of the original balance. Likewise, the tax and insurance entries are estimates that can change. This tool does not decide eligibility, apply program-specific requirements, calculate tax effects, or establish the amount a lender will collect. Request the transaction-specific figures from the lender and relevant bill providers.

Frequently Asked Questions

Does this calculator include property taxes and homeowners insurance?
Yes. It divides each annual amount by 12 and adds both monthly estimates as escrow. Enter annual figures; estimates can differ from future bills or actual escrow collections.

Is PMI included in the monthly payment?
Yes. The estimate adds the entered annual PMI percentage applied to the initial loan amount. If PMI does not apply, enter 0%; if you have a lender quote, use that figure to understand the actual charge.

Is escrow the same as PMI?
No. Escrow is a way to collect and hold funds for bills such as property taxes and homeowners insurance. PMI is mortgage insurance and is calculated separately in this estimate.

Why is my lender’s payment different?
The lender may use different loan terms, principal, tax or insurance amounts, PMI charges, payment timing, or other costs. Compare the line items and assumptions in the lender’s disclosure with the calculator inputs.

Does the estimate include HOA fees or utilities?
No. Add those costs separately when assessing total housing expenses. The calculator includes only principal and interest, the entered tax and insurance estimates, and the estimated PMI.

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

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in price | Home price | $ | 300000 | 1 | 100000000
in down | Down payment | $ | 60000 | 0 | 99999999
in apr | Interest rate (APR) | % | 6.5 | 0.01 | 100
in yrs | Loan term | years | 30 | 0.0833 | 50
in tax | Annual property tax | $ | 3600 | 0 | 10000000
in ins | Annual homeowners insurance | $ | 1200 | 0 | 10000000
in pmi | Annual PMI rate | % | 0.5 | 0 | 100
out total | Estimated monthly payment with escrow and PMI | $ | price * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) + tax / 12 + ins / 12 + (price - down) * pmi / 1200 + 0 * sqrt(price - down) | 2
out pi | Monthly principal and interest | $ | price * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2
out esc | Estimated monthly escrow | $ | (tax + ins) / 12 | 2
out pmicost | Estimated monthly PMI | $ | (price - down) * pmi / 1200 | 2