What is the mortgage calculator?
In short
A mortgage payment is calculated with M = P × [r(1+r)^n] ÷ [(1+r)^n − 1], where P is the loan amount, r is the monthly rate, and n is the number of payments. Your total monthly cost also includes property tax, home insurance, PMI (if down payment < 20%), and any HOA fee. On a $320,000 loan at 6.5% for 30 years, P&I is about $2,022/month; add $500 tax/insurance and the full PITI is ~$2,522/month.
This mortgage calculator computes your full monthly cost — principal & interest, property tax, home insurance, PMI (auto-cancels at 20% equity), and HOA — and produces a complete amortization schedule. The monthly breakdown panel shows exactly where each dollar goes. The cumulative chart shows how the loan unwinds over time.
How to use this calculator
- 1Enter the home price and down payment (LTV is shown automatically).
- 2Set the interest rate and loan term (10–30 years).
- 3Add annual property tax and home insurance (check your county assessor + current quotes).
- 4Enter your PMI rate — typically 0.5–1.5% annually — if your down payment is under 20%. The calculator shows when PMI drops off.
- 5Add a monthly HOA fee if applicable.
- 6Read the monthly breakdown panel, then scroll down for the full amortization schedule.
The formula
- M
- — Monthly principal & interest payment
- P
- — Loan amount (home price − down payment)
- r
- — Monthly interest rate (annual rate ÷ 12)
- n
- — Total monthly payments (years × 12)
- PMI
- — Private Mortgage Insurance — required when LTV > 80%; cancels at 80%
- HOA
- — Monthly homeowners association fee (condo/community)
Worked example
The scenario
$400,000 home, $60,000 down (15%), 6.5% for 30 years, $4,800 property tax, $1,200 insurance, 0.85% PMI, no HOA.
The result
Loan: $340,000. P&I: $2,149/month. Tax + insurance: $500/month. PMI: ~$241/month (drops off around month 70 when LTV hits 80%). Total monthly: ~$2,890. PMI auto-cancels saving ~$17,300 total.
Common use cases
- Calculating the true monthly cost of a home before making an offer
- Seeing the exact month PMI cancels and how much it costs in total
- Comparing a 15-year vs. 30-year term — total interest savings vs. higher payment
- Checking whether a larger down payment is worth it to eliminate PMI
Limitations & assumptions
- PMI rate varies by lender, credit score, and loan type — use your lender's actual quote.
- Assumes a fixed interest rate; ARMs reset after the initial fixed period.
- Property tax and insurance are estimates — actual figures vary by location and insurer.
- Closing costs, HOA special assessments, and maintenance are not modeled.
Frequently asked questions
Disclaimer: KalkWise calculators are provided for general informational and educational purposes only and do not constitute financial, investment, tax, or legal advice. Results are estimates based on the figures you enter and the assumptions described above. Actual outcomes will vary. Consult a qualified professional before making financial decisions.