The payment is bigger than principal & interest
Lenders quote principal and interest — the loan itself. But the check you write each month is usually PITI: principal, interest, property tax, and homeowners insurance, collected through an escrow account. Add PMI (under 20% down) and HOA dues, and the real payment on the defaults is $2,653.20 — $504.17 a month more than the $2,149.03 of principal and interest.
Output · formula · meaning
| Output | Formula | What it means |
| Monthly principal & interest | loan × r(1+r)n ÷ ((1+r)n − 1) | The loan payment itself: $2,149.03 on the defaults ($340,000 at 6.5% for 360 months). |
| Monthly tax & insurance | annual ÷ 12 | Your escrow slice: $354.17 tax + $150.00 insurance on the defaults. |
| Monthly PMI | loan × PMI rate ÷ 12 (only if down < 20%) | $0 on the defaults (20% down). At 10% down it would be $159.38/mo. |
| Total monthly payment | P&I + tax + insurance + PMI + HOA | The check you actually write: $2,653.20 on the defaults. |
| Total interest | P&I × n − loan | The price of borrowing: $433,651.26 over 30 years on the defaults — more than the loan itself. |
| Payoff date | today + n months | When the loan ends if you never pay extra. The schedule below shows every year on the way there. |
Worked example: the $425,000 house at 6.5%
Price $425,000, down payment $85,000 (20%), so the loan is $340,000. At 6.5% APR for 30 years: monthly rate r = 0.065 ÷ 12 = 0.0054167, n = 360. P&I = 340,000 × 0.0054167 × (1.0054167)360 ÷ ((1.0054167)360 − 1) = $2,149.03. Add $4,250 ÷ 12 = $354.17 tax and $1,800 ÷ 12 = $150.00 insurance: total $2,653.20/mo. Over 360 payments you hand the lender $773,651.26 — $433,651.26 of it pure interest. In month one, $1,841.67 of the $2,149.03 is interest and only $307.36 touches principal: early payments are almost all interest.
Who uses this
- Homebuyers: turning a listing price into the real monthly number before falling in love with a house.
- Refinancers: comparing the current payment against a new rate and term, side by side.
- Budget planners: checking a payment against take-home pay with the 28% rule before making an offer.
- Students & researchers: seeing amortization in action — the schedule shows exactly when principal takes over.
Accuracy & limitations
This is fixed-rate math: adjustable-rate mortgages, interest-only periods, and biweekly plans follow different formulas. Property tax and insurance are estimates you supply — real escrow amounts move yearly, and lenders re-analyze escrow annually. PMI drop-off timing assumes the balance alone (no appreciation); in practice, a new appraisal showing 20% equity can end PMI sooner. Figures round to cents; the schedule compounds monthly. This page does arithmetic, not lending advice — confirm the final numbers on your loan estimate.
See what extra payments do in the extra loan payment calculator, compare payment frequencies with the biweekly mortgage calculator, check whether the payment fits your income in how much house you can afford, and learn how take-home pay is calculated for the 28% rule’s denominator.
Cite this calculatorBright Side Kit. “Mortgage Calculator with PMI & Taxes.” brightoolbox.com, 2026.Bright Side Kit. "Mortgage Calculator with PMI & Taxes." https://brightoolbox.com/mortgage-calculator/ Accessed October 21, 2026.
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