DollarMath

Home › Mortgage calculator

Mortgage Calculator with Taxes, Insurance and PMI

Work out your full monthly house payment, including property tax, homeowners insurance, PMI and HOA fees, and see how extra payments shorten your loan.

What goes into a mortgage payment

Most monthly house payments have four parts, often called PITI:

  • Principal, the part that pays down what you borrowed.
  • Interest, what the lender charges. Early in the loan, most of each payment is interest.
  • Taxes, your property tax, usually collected monthly by the lender and paid once or twice a year. US property tax averages about 1% of a home's value but ranges from about 0.3% in Hawaii to over 2% in New Jersey and Illinois.
  • Insurance, homeowners insurance, which lenders require.

If you put down less than 20% on a conventional loan, lenders also add private mortgage insurance (PMI), typically 0.3% to 1.5% of the loan per year. It can be removed once you owe 80% or less of the home's original value.

The formula

The monthly principal and interest payment is M = P × r / (1 − (1 + r)−n), where P is the loan amount, r is the yearly rate divided by 12, and n is the number of monthly payments. For a $320,000 loan at 6.5% over 30 years, r = 0.005417 and n = 360, so M ≈ $2,022.

15-year vs 30-year mortgage

A 15-year loan has higher monthly payments but usually a lower rate, and you pay far less interest overall. On a $320,000 loan, a 30-year term at 6.5% costs about $408,000 in interest, while a 15-year term at 5.75% costs about $158,000, though the monthly payment rises from about $2,022 to about $2,657.

Frequently asked questions

How much house can I afford?

A common guideline is to keep your total housing payment under 28% of gross monthly income and all debt payments under 36%. On an $8,000 monthly income, that means a housing payment of about $2,240 or less.

When does PMI go away?

On a conventional loan you can ask to cancel PMI when you owe 80% of the home's original value, and it ends automatically at 78%.

Do extra payments really help?

Yes. Extra payments go straight to principal, which cuts the interest charged every month after. Even $100 a month can take years off a 30-year mortgage.