Down Payment Calculator
Calculate the upfront cash needed for a home purchase, the monthly payment with PMI, taxes, insurance, and HOA, plus points, extra payments, and a full amortization schedule.
Calculator
Results
Enter Valid Values
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Enter a home price, down payment percent, and valid loan term
Estimates use a fixed rate and standard monthly compounding. PMI pricing, insurance quotes, and tax bills are your inputs; closing costs beyond points are not included.
Formula
The down payment is the upfront cash for a home, computed as a percentage of the purchase price. The loan amount that remains is amortized with the annuity formula. When the down payment is under 20%, PMI is added monthly, and the true monthly cost layers in taxes, insurance, and HOA fees.
Alternative Form
Variables
| Symbol | Name | Unit | Description |
|---|---|---|---|
| Price | Home price | USD | The purchase price of the home |
| D | Down payment % | % | Percent of the price paid upfront |
| P | Loan amount | USD | Price minus the down payment, comprising the loan |
| i | Monthly rate | decimal per month | Annual interest rate divided by 12 |
| n | Number of payments | months | Loan term in years times 12 |
| Points | Discount points | % of loan | Upfront premium that buys a lower rate |
Explanation
Every percent of down payment restructures the entire loan: higher down payment means a smaller principal, no PMI at 20%, and lower monthly payment. Points behave like a fee on the loan amount, adding cash at closing in exchange for a rate reduction over the life of the loan.
Derivation
Down payment = price × D/100, loan P = price − down payment. Monthly rate i = r/12, n = term × 12. PMT = P × i / (1 − (1 + i)^−n). Total Upfront = down payment + P × points%. Monthly Total = PMT + PMI + taxes/12 + insurance/12 + HOA.
Worked Examples
See how the calculator works with different scenarios.
Scenario
A $300,000 home with a 20% down payment at 6.5% over 30 years, $3,000/year taxes, $1,200/year insurance, no HOA.
Inputs
Calculation
Down payment = 300000 × 0.20 = $60,000 Loan = 300000 − 60000 = $240,000 i = 0.065/12 = 0.0054167 PMT = 240000 × 0.0054167 × 1.0054167^360 / (1.0054167^360 − 1) = $1,517.22 Total = 1517.22 + 0 + 250 + 100 = $1,867.22
Result
$60,000 down, $240,000 loan, $1,867.22 monthly total, no PMI
Interpretation
Twenty percent down removes PMI entirely. The 30-year schedule costs $306,199 of total interest on a $240,000 loan — the down payment is the single largest cash item, but it permanently reduces both the payment and the interest bill.
Understanding Your Result
Your Result: Enter Valid Values: ---
Typical range: Down payments of 20% eliminate PMI and are the standard benchmark. First-time buyers typically put 6-10% down, paying PMI. For a $300,000 home, a 20% plan costs about $60,000 + $1,900/month, while 5% costs about $15,000 + $2,050/month with PMI.
What This Means
The primary results are the down payment amount, the loan amount, the total upfront cash (including points), and the true monthly payment. Extra-payment mode adds the payoff time and interest saved versus the standard schedule.
Why It Matters
The down payment percentage is the lever with the most outsized effect: it drives the loan size, whether PMI exists, the rate tier you qualify for, and total cash flow for years. Knowing both the upfront number and the monthly reality before shopping prevents the most common first-time buyer mistakes.
Professional Interpretation
Lenders do the same math this calculator runs: loan capped at price minus down payment, monthly payment built from P&I plus escrow items, and PMI priced from the loan-to-value. The extra-payment schedule shows the prepayment power that many borrowers leave unused.
Points trade-off
Each point costs 1% of the loan amount at closing and typically lowers the rate by 0.25%. The calculator adds points to the upfront total so you can weigh the cash cost against the long-term payment savings.
PMI lifecycle
PMI auto-cancels at 78% LTV and can be removed on request at 80% LTV. With aggressive extra payments the schedule shortens, pulling the PMI threshold forward and saving even more.
Recommendations
- •Put at least 20% down when the budget allows to skip PMI entirely
- •Model 5%, 10%, and 20% scenarios side by side
- •Compare total interest, not just the monthly payment
- •Add an extra monthly payment if the cash flow allows — it shortens the loan
- •Check the property tax and insurance history before setting your budget
- •Recheck the numbers at every 0.25% rate change before you lock
Educational Content
Introduction
A down payment is the upfront portion of a payment that is often required to finalize the purchase of items that are typically more expensive, such as a home or a car. When purchasing a home, after a down payment is paid by the buyer, any remaining balance is amortized as a mortgage loan. The purchase price of a house equals the mortgage loan plus the down payment, and the down payment is typically expressed as a percentage of the purchase price.
Concept Explanation
Putting 20% or more down removes the Private Mortgage Insurance requirement, improves the rate tier, and starts you with visible home equity. Anything less keeps the loan above 80% loan-to-value, where PMI monthly charges protect the lender — not you.
Applications
Benefits
- •Full schedule down to the final payment for every year
- •PMI applied automatically when the down payment is under 20%
- •Points and total upfront computed exactly like a lender quote
- •Extra payment mode with payoff time and interest saved
- •Pie chart and balance graphic live for every keystroke
- •Exact engine math identical to the public amortization tables
Limitations
- •Assumes a fixed rate and standard monthly compounding
- •PMI is a single flat rate; lenders quote tiered prices
- •Tax and insurance amounts are year-end estimates you supply
- •Points reduce the rate incrementally, not modeled linearly here
- •Closing costs (fee-based) are separate from the total upfront row
Best Practices
- •Enter the true annual tax bill, not the county average
- •Recheck insurance pricing online before using this as a quote
- •Use 20% down for your baseline scenario, 10% for the trade-off
- •Add a modest extra payment and watch the schedule shorten
- •Look at the total of payments, not just the monthly number
Common Misconceptions
Practical Tips
- •Saving 20% down eliminates PMI — the strongest long-term single move on this page
- •Automatic monthly transfers to a high-yield savings account accelerate the down payment
- •State and local down payment assistance programs can cover part of the down payment
- •Gift funds from family are allowed on conventional, FHA, and VA loans
- •Run your own extra-payment plan; even $50/month removes months from the schedule
- •Compare the 10% vs. 20% split before you choose your down payment
- •Confirm insurance cost with a real quote so the monthly total is yours, not a guess
Common Mistakes
Assumptions
This calculator makes the following assumptions to provide estimates:
Limitations
Be aware of these limitations when using this calculator:
Frequently Asked Questions
Answers to common questions about this calculator.
What is a down payment?
How much down payment do I need for a house?
What is a good down payment?
What is PMI and why does it matter for down payment?
What is the minimum down payment for an FHA loan?
Can I get a mortgage with no down payment?
How does down payment affect monthly payment?
Can I use gift money for a down payment?
What are down payment assistance programs?
Is 20% down payment still required?
How much should I put down as a first-time buyer?
What is the difference between down payment and earnest money?
What is the best down payment for an investment property?
How does down payment affect interest rate?
What is the minimum down payment for a conventional loan?
Can I withdraw from my 401(k) for a down payment?
What is an FHA 3.5% down payment loan?
How long does it take to save for a down payment?
What happens if I put less than 20% down?
Can I use my IRA for a down payment?
What is a piggyback loan for down payment?
How does the down payment affect closing costs?
What is the average down payment on a house?
How are points priced on a mortgage?
Does the down payment percentage change the total interest paid?
What happens to PMI over time?
How do extra monthly payments shorten the loan?
What is included in the total upfront payment?
What is the difference between a down payment percentage and loan amount?
How does home insurance enter the monthly total?
What happens if the total monthly payment does not fit my budget?
How accurate are the amortization numbers here?
Is a bigger down payment always better?
Do FHA loans require PMI at any down payment?
What is a balloon for down payment?
What down payment do real estate investors need?
Related Calculators
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Related Guides
Deepen your understanding with these educational resources.
How to accumulate the down payment within a realistic timeline.
High-yield accounts, gift funds, and assistance programs.
Conventional PMI versus FHA MIP and when each is required.
Government programs with low and zero down payment options.
Glossary
Technical terms used in mortgage calculations explained in plain language.
- Down Payment
- Cash the buyer pays at closing; the loan finances the rest of the price.
- LTV (Loan-to-Value)
- The loan amount divided by the home value; 80% or lower avoids PMI.
- PMI
- Private mortgage insurance required on conventional loans below 20% down.
- MIP
- FHA mortgage insurance premium — upfront 1.75% and annual, required regardless of down payment size.
- Points
- Upfront fees of 1% of the loan, each typically lowered the rate by 0.25%.
- Escrow
- The monthly set-aside for annual taxes and insurance payments.
- Amortization
- The payment schedule that pays principal and would-be interest over the term.
- P&I
- The principal and interest portion of the monthly payment, before escrow items.
- Earnest Money
- The good-faith deposit held in escrow before closing, applied to the down payment.
- Piggyback Loan
- A second mortgage that covers part of the down payment to avoid PMI (80-10-10).
Authoritative References
Trusted sources and standards referenced by this calculator.
Applicable Standards
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Page Information
2026-08-07
2.0.0
Free to use for educational and professional purposes.