home

Mortgage Payment Calculator

A mortgage calculator estimates your monthly payment by amortizing the loan over its term with interest, then adding property tax, insurance and PMI to give the true all-in monthly cost.

Last updated 2026-08-15

Embed on your site

Embed this calculator on your site:

<iframe src="https://calculopedia.darzh.xyz/embed/mortgage-payment-calculator/" width="100%" height="700" style="border:0;border-radius:12px" loading="lazy"></iframe>

quizExample

How this calculator works, with real numbers (no JavaScript needed):

Inputs

Home price
350000
Down payment
70000
Annual interest rate
6.5
Loan term
30
Annual property tax
3000
Annual home insurance
1200
Include PMI
true
PMI rate
1

Results

Total monthly payment
₹2,119.79
Principal & interest
₹1,769.79
Monthly property tax
₹250
Monthly insurance
₹100
Monthly PMI
₹0
Total interest
₹3,57,124.57

functionsThe formula

Monthly P&I = P × r × (1 + r)ⁿ / ((1 + r)ⁿ − 1), where P = price − down payment, r = monthly rate, n = months. Add tax/12 + insurance/12 + PMI (if down < 20%).

A mortgage is a long-term home loan repaid in fixed monthly payments. The two biggest parts of the math are the amortization of the loan and the escrow items added on top.

Principal & interest

Monthly P&I = P × r × (1 + r)ⁿ / ((1 + r)ⁿ − 1)
  • P = price − down payment
  • r = annual rate ÷ 12 ÷ 100
  • n = months (years × 12)

Escrow: tax, insurance and PMI

Your lender collects the annual property tax and home insurance in monthly chunks (annual ÷ 12) and pays them for you. If your down payment is under 20%, lenders also add private mortgage insurance (PMI) — roughly 0.5–1.5% of the loan per year — until you reach 20% equity.

Worked example

A $350,000 home, $70,000 down (20%), 6.5%, 30 years:

  • P = $280,000, r = 0.00542, n = 360 → P&I ≈ $1,770/month
  • Property tax $3,000/yr = $250/month; insurance $1,200/yr = $100/month
  • 20% down → no PMI
  • Total ≈ $2,120/month

Rule of thumb

Keep the total mortgage payment under 28% of gross monthly income — that's the classic affordability ceiling lenders use.

helpFrequently asked questions

question_markHow is a mortgage payment calculated?

Amortize the loan with the payment formula P × r × (1 + r)ⁿ / ((1 + r)ⁿ − 1), then add monthly property tax, home insurance and PMI (if your down payment is under 20%).

question_markWhat is PMI and when does it go away?

Private mortgage insurance protects the lender when your down payment is under 20%. It typically drops off automatically once you reach 20% equity in the home.

question_markHow much house can I afford?

A common rule is to keep the total monthly payment at or below 28% of your gross monthly income. This calculator shows the all-in payment so you can test different prices.

question_markIs a 15-year or 30-year mortgage better?

A 15-year term has higher monthly payments but much less total interest. A 30-year term is more affordable monthly but roughly doubles the interest paid over the life of the loan.

view_quiltYou might also need