Yes, some first-time home buyers can buy a home with no down payment, but eligibility and costs depend on the loan program and property. This calculator estimates a monthly principal-and-interest payment from the amount borrowed, APR, and term; it does not determine whether a zero-down loan is available or what cash you will need to close.
Formula
The calculator uses the standard fixed-rate, fully amortizing loan payment formula:
Monthly payment = P × r ÷ [1 − (1 + r)−n]
- P is the loan amount in dollars.
- r is the monthly interest rate, calculated as APR ÷ 1,200.
- n is the number of monthly payments, calculated as years × 12.
Total interest is calculated as monthly payment × number of payments − original loan amount. Because the calculator does not separately round each monthly payment to cents before calculating total interest, its total is an estimate; actual loan disclosures and servicing calculations can differ.
Worked Example
Using the defaults—$20,000 borrowed, 8% APR, and a 5-year term—the monthly rate is 0.08 ÷ 12 = 0.0066667, and the term is 5 × 12 = 60 monthly payments.
Payment = 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 per month when rounded to cents. Total interest using the displayed monthly payment is $405.53 × 60 − $20,000 = $4,331.80.
Assumptions
- The interest rate stays fixed for the entire term.
- Payments are equal and made monthly, with the first payment one month after borrowing.
- Interest is compounded monthly using APR ÷ 12.
- The estimate excludes down payment, closing costs, taxes, homeowners insurance, mortgage insurance, escrow, fees, and changes in loan terms.
Can a First-Time Buyer Put Zero Down?
In some circumstances, yes. Certain mortgage programs permit eligible borrowers to finance the full purchase price, while other programs require a down payment. “First-time buyer” does not automatically mean a borrower qualifies for a no-down-payment loan, and the definition of first-time buyer varies by program.
Zero down means the buyer does not pay a percentage of the purchase price as a down payment. It does not mean the home is free, that the loan has no costs, or that no money is needed at closing. Eligibility can depend on program rules, the home’s location and use, the borrower’s finances, and other requirements. Those details can change, so get current program terms directly from the relevant program administrator or a lender.
What Costs Can Remain?
Even when a loan permits a zero down payment, buyers may have to plan for costs that are separate from the down payment. Depending on the transaction and loan, these can include lender or third-party charges, prepaid property expenses, inspections, moving costs, and initial repairs. Some costs may be negotiable, paid by another party, or financed when permitted, but none should be assumed to disappear.
Monthly housing costs also go beyond principal and interest. Property taxes, homeowners insurance, mortgage insurance if required, association charges, utilities, and maintenance can affect the actual budget. A payment calculator that only uses loan amount, APR, and term cannot estimate these without additional inputs.
For example, a buyer borrowing $300,000 at a given fixed APR has a larger principal-and-interest payment than someone borrowing $280,000 at the same APR and term. But the difference in upfront cash is not necessarily just the $20,000: fees, prepaid costs, and any program-specific charges also matter. Ask for a written estimate that separates loan costs, prepaid items, and cash due.
How to Evaluate a Zero-Down Offer
Compare the full borrowing arrangement rather than focusing only on the down-payment figure. Useful questions to ask include:
- What is the exact amount financed, APR, term, and estimated monthly principal-and-interest payment?
- Are there mortgage insurance charges, guarantee fees, or other ongoing costs?
- What cash is estimated to be due at closing, and what items are included in that estimate?
- Is the interest rate fixed or adjustable, and how could the payment change?
- What eligibility conditions and property requirements apply, and who confirms them?
- Can the borrower make extra payments, and how are those payments applied?
Use the calculator to understand how principal, APR, and term affect principal and interest, then compare that estimate with the lender’s official disclosures. A longer term generally spreads repayment over more months and changes total interest; it does not remove the cost of borrowing. The APR can include certain borrowing costs, but the calculator treats the APR as a rate input and does not model individual fees.
Common Misunderstandings and Alternatives
A common misconception is that “zero down” means “zero cash to close.” It usually describes the down payment alone. Another is that any buyer purchasing a first home automatically qualifies. Programs have their own eligibility and property rules, and approval is determined through the applicable process.
If a zero-down option is unavailable or does not fit a buyer’s circumstances, alternatives may include a loan with a smaller down payment, saving for a larger down payment, or checking whether local assistance programs exist. Assistance may have eligibility conditions, limits, or repayment terms. These alternatives are not interchangeable: compare their full costs and requirements using current documents rather than relying on a headline down-payment amount.
Frequently Asked Questions
Can I buy a house with no down payment as a first-time buyer?
Possibly. Some programs allow eligible borrowers to make no down payment, but availability and qualifications depend on program and transaction details. Confirm current requirements with the program administrator or lender.
Does zero down mean I need no money at closing?
No. Closing costs, prepaid expenses, inspections, moving costs, and other charges may still apply. Request an itemized estimate of cash due.
Does a zero-down mortgage have mortgage insurance?
It may. Whether mortgage insurance or another ongoing program charge applies depends on the loan terms and program. Check the written loan estimate and applicable program information.
Are first-time buyers automatically eligible for zero-down loans?
No. First-time-buyer status alone does not establish eligibility. Programs may assess additional borrower, property, and occupancy conditions.
What does this calculator leave out?
It estimates principal and interest from the entered amount, APR, and term. It does not calculate eligibility, cash to close, taxes, insurance, mortgage insurance, fees, or program-specific charges.
This result is an estimate; the lender’s disclosure gives the exact figures.
Related
Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000 in apr | Interest rate (APR) | % | 8 | 0.01 | 100 in yrs | Loan term | years | 5 | 0.0833 | 50 out pmt | Monthly payment | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2 out int | Total interest | $ | pmt * yrs * 12 - p | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.
More in this section
- Weekly Payment Sheet: Calculate Loan Payments$93.39
- Weekly Payment Schedule Calculator$93.39
- Weekly Loan Payment Calculator and Formula$93.39
- Weekly Payment Run: Meaning and How It Works
- DXC Weekly Payment Reimbursement Request Form
- Weekly Payment Reimbursement Request Form Explained