mortgage
Mortgage Calculator
Estimate a full monthly mortgage payment including principal, interest, tax, insurance, PMI, HOA, and other recurring costs.
Formula notesmortgage calculator
The Down Payment Calculator models three home-purchase cash questions. Home Price mode starts with upfront cash available and estimates the home price that fits the selected down payment and closing-cost assumption. Cash Needed mode starts with a known home price and down payment percentage. Down Payment Percentage mode starts with home price and upfront cash, subtracts selected closing costs, and estimates the remaining down payment percentage.
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Use this calculator when you want to compare how upfront cash, home price, selected closing costs, down payment percentage, interest rate, and loan term interact before reviewing lender documents. Use Mortgage Payment for a focused principal-and-interest payment, Mortgage for broader housing-cost assumptions, House Affordability for income and debt constraints, and actual Loan Estimates, lender disclosures, local tax sources, insurer quotes, title or settlement statements, HOA documents, or assistance-program materials for official figures.
In Home Price mode with percentage closing costs, the app solves homePrice as upfrontCashAvailable / ((downPaymentPercent + closingCostPercent) / 100). With fixed closing costs, it solves homePrice as max(0, upfrontCashAvailable - closingCostAmount) / (downPaymentPercent / 100). In Cash Needed mode, downPaymentAmount equals homePrice * downPaymentPercent / 100 and cashNeeded equals downPaymentAmount plus selected closing costs. In Down Payment Percentage mode, downPaymentAmount equals max(0, upfrontCashAvailable - closingCosts), then downPaymentPercent equals downPaymentAmount / homePrice * 100 when home price is positive. Loan amount is max(0, homePrice - downPaymentAmount). Monthly payment uses the fixed-rate PMT formula with interestRate / 100 / 12 and loanTermYears * 12.
Example: three ways to frame the same purchase cash question
With the default Home Price inputs, $100,000 upfront cash, 20 percent down, and 3 percent closing costs support an estimated $434,782.61 home price, $86,956.52 down payment, $13,043.48 closing costs, $347,826.09 loan amount, and $2,198.50 monthly principal and interest at 6.5 percent over 30 years. In Cash Needed mode, a $500,000 home with 20 percent down and 3 percent closing costs needs $115,000.00 upfront cash and produces a $400,000 loan amount with a $2,528.27 monthly principal-and-interest estimate. In Down Payment Percentage mode, $100,000 cash for a $500,000 home with 3 percent closing costs leaves $85,000.00 for down payment, or 17.00 percent down, with a $415,000 loan amount and $2,623.08 monthly principal-and-interest estimate.
The examples show how the same cash, price, and closing-cost assumptions can answer different planning questions. They are not cash-to-close disclosures, lender approvals, PMI determinations, affordability recommendations, tax answers, or personal homebuying advice.
This calculator is an original implementation based on the app's documented down-payment solve modes, selected closing-cost assumptions, fixed principal-and-interest payment math, deterministic fixtures, edge cases, rounding policy tests, and internal validation. It is not copied from a single source.
Outputs are checked with deterministic fixtures for home-price, cash-needed, and implied down-payment-percentage solves, plus edge-case tests and internal validation artifacts. The result remains an educational estimate, not a Loan Estimate, not a Closing Disclosure, not a cash-to-close figure, not a PMI determination, not a lender quote, not an approval, not a tax answer, not a legal answer, not an assistance-program eligibility result, and not personalised mortgage advice.
Formula version 2026.05.22-generic-down-payment-modes. The version marks the calculation logic and validation fixture set used for this estimate.
The result is educational and is not financial, tax, legal, lending, investment, or regulated advice. Real provider terms, fees, rates, taxes, and personal circumstances can change the final answer.
Formula and help: read the full down payment calculator methodology notes.
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