What the mortgage calculator tells you
A mortgage calculator estimates the monthly payment on a home loan from four inputs: the loan amount, the interest rate, the term, and any taxes or fees bundled into the payment. The core figure is principal and interest (P&I) — the fixed amount that pays down the loan and the lender’s interest each month.
This tool goes past P&I to the full picture buyers actually pay: it adds annual property tax (÷12) and your monthly HOA dues to show a true monthly outlay. Change the down payment or rate and every number updates instantly.
If the home is an investment, it also turns your expected rent and operating expenses into a cap rate and cash-on-cash return — useful for sizing up an off-market Miami rental before you make an offer.
How it works
- Loan = price − down payment. Monthly rate r = annual rate ÷ 12 and number of payments n = term in years × 12.
- Principal & interest each month: M = L·r / (1 − (1 + r)^−n). With a 0% rate it falls back to simply loan ÷ n.
- Total monthly payment = P&I + (annual property tax ÷ 12) + monthly HOA.
- For rentals: cap rate = (annual rent − annual operating expenses) ÷ price; cash-on-cash = annual cash flow ÷ total cash invested (down payment plus closing costs).
Frequently asked questions
How is a monthly mortgage payment calculated?
The principal-and-interest payment uses the amortization formula M = L·r / (1 − (1 + r)^−n), where L is the loan, r is the monthly rate (annual rate ÷ 12), and n is the number of payments (years × 12). The rate and term are fixed, so the payment stays the same each month while the split between principal and interest shifts over time.
What is included in a mortgage payment (PITI)?
PITI stands for principal, interest, taxes, and insurance — the four parts of a typical monthly payment. Many lenders also collect homeowners insurance and, in condos, you separately owe HOA dues. This calculator shows P&I plus property tax and HOA so you see the true monthly cost, not just the loan portion.
How much is the monthly payment on a $500,000 mortgage?
It depends entirely on the rate and term. At 6.5% over 30 years, the principal-and-interest payment on a $500,000 loan is roughly $3,160 a month, before property tax, insurance, and HOA. Lower the rate or shorten the term and the number changes, which is exactly what this tool lets you test.
Does this include property tax and HOA?
Yes. Enter your annual property tax and monthly HOA and the tool adds tax ÷ 12 plus HOA on top of principal and interest. In Miami-Dade, condo HOA dues can add several hundred dollars a month, so leaving them out badly understates the real payment.
What mortgage rate should I use?
Use a current quote from a lender for your credit profile and loan type, since rates change daily. If you don’t have one yet, a recent national average for a 30-year fixed loan is a reasonable placeholder. Because the payment is sensitive to the rate, it’s worth running a couple of values to see the range.
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