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Mortgage Calculator – Monthly Payment with Taxes & PMI

Can you afford this home?

What This Does

A mortgage is likely the largest financial commitment you'll ever make — and the number a lender quotes you (principal + interest) is never the number you'll actually pay each month. This calculator gives you the full picture: principal, interest, property taxes, homeowner's insurance, PMI if your down payment is under 20%, and any HOA fees. That's your real housing payment. Most first-time buyers are surprised by the gap. On a $400,000 home with 10% down at 7%, the P&I payment is $2,394/month. Add $400/month in property taxes, $120 in insurance, and $175 in PMI and you're at $3,089 — nearly 30% higher than the headline number. Use this before making an offer, when comparing home prices, and when deciding whether to put 20% down to eliminate PMI. The amortization schedule shows how each payment splits between interest and principal — in the first year of a 30-year mortgage at 7%, over 80% of every payment is interest. That context changes how you think about extra principal payments and loan term choices. This tool is also essential for refinancing decisions: swap in the new rate and term to see whether the monthly savings justify the closing costs and how long the break-even takes.

Assumptions
  • ·Assumes a fixed interest rate for the full loan term (not an adjustable-rate mortgage)
  • ·Property tax is calculated as an annual percentage of the purchase price, divided by 12
  • ·PMI is estimated at 0.5–1.0% of the loan amount annually; actual rate varies by lender and credit score
  • ·Does not account for tax deductibility of mortgage interest (consult a tax advisor)
  • ·Closing costs are not included in the payment estimate
How It's Calculated

Monthly P&I uses the standard amortization formula: M = P × [r(1+r)^n] / [(1+r)^n – 1] Where: M = monthly payment · P = loan principal (purchase price minus down payment) · r = monthly interest rate (annual rate ÷ 12) · n = total payments (term in years × 12). Example: $360,000 loan at 7% over 30 years → r = 0.005833, n = 360 → M = $2,395/month P&I. Total monthly payment = P&I + (annual property tax ÷ 12) + (annual insurance ÷ 12) + PMI (if down < 20%) + HOA. PMI is typically 0.5%–1.0% of the loan amount per year, required until you reach 20% equity.

When Should You Use This?
  • Before making an offer — know your true monthly obligation, not just P&I
  • Comparing a 15-year vs. 30-year mortgage — see the total interest difference side by side
  • Deciding whether to put 20% down to eliminate PMI vs. invest the difference
  • Evaluating a refinance — plug in the new rate to see actual monthly savings and break-even
  • Stress-testing your budget: what happens if your income drops 15%?
Worked Examples

Example 1: First-time buyer with 10% down

Inputs: Home: $375,000 · Down: $37,500 (10%) · Loan: $337,500 · Rate: 7.0% · Term: 30 yr · Tax: 1.2%/yr · Insurance: $1,440/yr · PMI: 0.7%

Result: P&I: $2,246 · Tax: $375 · Insurance: $120 · PMI: $197 · Total: $2,938/month · Total interest (30 yr): $471,000

The real payment is 31% higher than the P&I alone. The $197/month PMI disappears once you reach 20% equity — roughly 9 years at minimum payments — freeing up cash to redirect toward principal or savings.

Example 2: 20% down to eliminate PMI

Inputs: Home: $375,000 · Down: $75,000 (20%) · Loan: $300,000 · Rate: 7.0% · Term: 30 yr · Tax: 1.2%/yr · Insurance: $1,440/yr

Result: P&I: $1,996 · Tax: $375 · Insurance: $120 · PMI: $0 · Total: $2,491/month · Total interest: $418,560

The extra $37,500 down saves $197/month in PMI and $52,440 in total interest. The break-even on the additional down payment via PMI savings alone is about 16 years — but the lower payment also improves your debt-to-income ratio for future borrowing.

🏠 Mortgage Calculator

Monthly Payment · PITI Breakdown · Amortization · Rate & Term Scenarios

Results update in real time. Includes principal, interest, taxes, insurance, PMI, and HOA.

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Only applies if down payment < 20%

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For affordability ratio

About This Calculator

This mortgage calculator computes monthly payment and amortization in real time from 9 inputs. Formula: monthlyPI = loan × (r × (1+r)^n) / ((1+r)^n − 1) where r = rate/12, n = term×12. Monthly PITI = PI + (price × taxRate/100)/12 + insurance/12 + PMI (if down < 20%) + HOA. Full amortization schedule: month i, interest = balance × r, principal = payment − interest, balance = max(0, prev − principal). Affordability score (0-100): housing ratio component (max 40pts, 28% threshold) + down payment component (max 35pts, 20% threshold) + rate component (max 25pts). Tiers: Comfortably Affordable (75+), Affordable (55+), Borderline (38+), Stretching (25+), Overextended. Equity assumes 3%/yr appreciation. All 9 inputs update in real time.

The Overview tab renders a donut PieChart of PITI components (P&I in tier accent, tax amber, insurance indigo, PMI red, HOA violet) with side legend showing % and $/mo, then a dual AreaChart of home equity (solid tier accent, gradient fill) vs remaining balance (dashed indigo) over the loan term assuming 3% annual appreciation, then 4 key insights (affordability summary, total interest + rate/term alternatives, PMI analysis, rate sensitivity). The Breakdown tab renders a BarChart of monthly payment at 5 interest rates (±2%, current highlighted in tier accent, lower rates green, higher rates red, LabelList top labels, ReferenceLine at current payment) then a down payment scenarios table (6 rows: 3.5-25%). The Scenarios tab renders a BarChart of monthly payment at 4 loan terms (15/20/25/30-yr, current highlighted, Legend) plus rate and term comparison tables with vs-yours column. The Schedule tab shows year-by-year amortization with show-all toggle.

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Common Mistakes to Avoid
  • Budgeting only for P&I and being blindsided by taxes, insurance, and PMI at closing — the real payment is often 20–35% higher
  • Assuming PMI cancels automatically — you typically must request removal from your lender once you hit 20% equity
  • Ignoring HOA fees when comparing homes in different neighborhoods — they can add $200–$800/month
  • Using the lender's pre-approval amount as your budget target rather than as a ceiling
  • Not shopping for homeowner's insurance — rates vary by 40%+ for identical coverage in the same ZIP code
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