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Down Payment 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.

Your scenario

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Down payment question
Include closing costs

Result

Down payment result
Estimated home price is $434,782.61 using $100,000.00 of upfront cash.
Home price
$434,782.61
Cash needed
$100,000.00
Down payment
$86,956.52
Down payment percentage
20.00%
Closing costs
$13,043.48
Loan amount
$347,826.09
Monthly payment
$2,198.50
What this means
Down payment is at least 20%, so PMI may not be required in many conventional scenarios.

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Save this result, then use saved scenarios to switch between assumptions.

How the Down Payment Calculator works

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.

Down Payment Calculator formula

This formula page covers the app's Down Payment Calculator: three solve modes for estimated home price, cash needed, or implied down-payment percentage using entered upfront cash, selected closing-cost assumptions, and fixed principal-and-interest payment math. It does not calculate a Loan Estimate, Closing Disclosure, legal cash-to-close figure, PMI premium, assistance-program eligibility result, underwriting decision, approval, tax answer, or personalised mortgage advice.

H_percent = C / ((d + cc) / 100); H_fixed = d > 0 ? max(0, C - F) / (d / 100) : 0; ClosingCosts = mode == percent ? H * cc / 100 : F; DP = H * d / 100; CashNeeded = DP + ClosingCosts; DP_from_cash = max(0, C - ClosingCosts); DPct = H > 0 ? DP_from_cash / H * 100 : 0; Loan = max(0, H - DP); r = i / 100 / 12; n = years * 12; Pmt = r == 0 ? Loan / n : Loan * r / (1 - (1 + r)^(-n))

The calculator first chooses the selected solve mode, derives the home price, cash needed, or down-payment percentage from the entered assumptions, then estimates the remaining loan amount and a fixed principal-and-interest payment.
SymbolMeaningHow this page uses it
HHome priceThe entered or solved purchase price assumption used for down-payment and closing-cost math.
CUpfront cash availableThe entered cash amount used in home-price and down-payment-percentage solve modes.
dDown-payment percent inputThe entered target down-payment percentage used when solving home price or cash needed.
ccClosing-cost percent inputThe entered closing-cost percentage when closing costs are modeled as a percent of home price.
FFixed closing-cost inputThe entered closing-cost amount when fixed closing-cost mode is selected.
ClosingCostsModeled closing costsEither home price times the entered closing-cost percentage, or the entered fixed closing-cost amount.
DPDown-payment amountHome price times the target down-payment percentage in home-price and cash-needed solve modes.
DPctImplied down-payment percentageAvailable cash after modeled closing costs divided by home price when solving for down-payment percentage.
LoanLoan amountHome price minus down payment, floored at 0 so an oversized down payment cannot create a negative loan.
iAnnual interest-rate inputThe entered fixed-rate assumption. The app treats it as a simple annual rate for payment math, not as a legal APR.
rMonthly rateAnnual rate divided by 100 and by 12.
nPayment countLoan term years multiplied by 12 monthly payments.
PmtMonthly principal and interestThe fixed-rate principal-and-interest payment before taxes, homeowners insurance, PMI, HOA dues, escrow, fees, or other housing costs.
PMI noticeSimple below-20-percent noticeA plain notice when the calculated down-payment percentage is below 20 percent. It is not a PMI premium calculation or lender determination.

Step by step

  1. Read the selected solve mode: home price, cash needed, or down-payment percentage.
  2. When solving home price with percentage closing costs, divide upfront cash by the combined down-payment and closing-cost percentage.
  3. When solving home price with fixed closing costs, subtract the fixed closing-cost amount from upfront cash and divide by the down-payment ratio.
  4. If fixed closing costs are selected and the target down-payment ratio is 0 percent, return a 0 home-price estimate because the price is indeterminate without a down-payment ratio.
  5. Calculate closing costs from the selected mode: percentage of home price or the fixed closing-cost amount.
  6. For cash-needed mode, multiply home price by the target down-payment percentage and add modeled closing costs.
  7. For down-payment-percentage mode, subtract modeled closing costs from upfront cash, floor the remainder at 0, then divide by home price when home price is positive.
  8. Calculate loan amount as home price minus down payment, floored at 0.
  9. Convert the entered annual rate to a monthly decimal rate and convert term years to monthly payment count.
  10. Use the zero-rate payment branch when the monthly rate is 0; otherwise use the fixed-rate amortizing payment formula.
  11. Show the simplified PMI notice when the resulting down-payment percentage is below 20 percent.
  12. Round displayed currency outputs to two decimals after the full-precision calculation.
  13. Use CFPB Loan Estimate, private mortgage insurance, principal-and-interest versus total monthly payment, Regulation Z, lender, settlement, mortgage-insurance, tax, legal, or assistance-program sources before adding official disclosure, eligibility, cash-to-close, PMI, approval, or jurisdiction-specific claims.

Worked example

Default fixtures: three down-payment questions

These examples use the app's package fixtures so the numbers match the production formula and rounding policy.

  1. Home-price fixture: $100,000 upfront cash, 20 percent target down payment, and 3 percent closing costs create a combined 23 percent cash requirement.
  2. $100,000 divided by 23 percent gives an estimated $434,782.61 home price.
  3. That implies an $86,956.52 down payment, $13,043.48 modeled closing costs, a $347,826.09 loan amount, and a $2,198.50 monthly principal-and-interest estimate at 6.5 percent for 30 years.
  4. Cash-needed fixture: a $500,000 home price with 20 percent down and 3 percent closing costs gives a $100,000.00 down payment plus $15,000.00 closing costs.
  5. The calculator reports $115,000.00 cash needed, a $400,000.00 loan amount, and a $2,528.27 monthly principal-and-interest estimate.
  6. Down-payment-percentage fixture: $100,000 upfront cash on a $500,000 home with 3 percent closing costs leaves $85,000.00 for down payment after $15,000.00 modeled closing costs.
  7. $85,000.00 divided by $500,000 gives 17.00 percent down, a $415,000.00 loan amount, and a $2,623.08 monthly principal-and-interest estimate.
  8. Because 17.00 percent is below 20 percent, the app shows the simple PMI or mortgage-insurance notice.

The fixtures illustrate the calculator's three mechanical solve modes. They do not show what a lender will disclose, approve, collect at closing, charge for PMI, require for reserves, or treat as verified funds.

Assumptions and what this calculator ignores

Geographic scope: works globally. The math is currency-agnostic, so enter amounts in your own currency; local taxes, fees, and product rules are not included.

What this formula does not include

Common mistakes to avoid

Key terms

Upfront cash available
The cash amount the app treats as available for down payment and selected closing costs. It is not the same as verified funds, reserves, or the official cash-to-close figure on a lender document.
Cash needed
The modeled down payment plus the selected closing-cost assumption. Real cash to close can include additional credits, deposits, prepaid items, escrow amounts, and settlement charges.
PMI notice
A simplified message based on whether the modeled down payment is below 20 percent. It is not a real mortgage-insurance quote, cancellation analysis, or loan-program eligibility decision.

Frequently asked questions

What home price can my upfront cash support?

Price mode inverts the usual question: from $100,000 of cash, a 20 percent down-payment target, and 3 percent closing costs, it solves the home price where down payment plus closing costs exactly consume the cash - about $434,780. The next outputs show the implied loan and monthly principal-and-interest payment, so the cash constraint and the payment constraint can be checked together.

How much cash do I need to buy at a specific price?

Cash-needed mode multiplies the price by your down-payment percentage, adds closing costs (percent-of-price or a fixed amount), and totals it. A $500,000 home at 20 percent down with 3 percent closing costs needs $115,000 upfront. Reserves that lenders may require, prepaid escrow items, and inspection or moving costs sit outside the model - the answer is a floor, not the full move-in budget.

What does the implied down-payment percentage mode tell me?

Given a target home price and your available cash, it backs out what percentage down you can actually make after closing costs. If that lands under 20 percent, the PMI notice output flags that conventional loans typically add mortgage insurance - a monthly cost this calculator does not price but the full Mortgage Calculator does. It is the fastest reality check on a stretch purchase.

Methodology, sources, and disclaimer

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.

Results are educational estimates, not advice. Read the full disclaimer.

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