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Home Buying

How To Calculate A Down Payment

A down payment is not only the cash you hand over — it sets the loan-to-value ratio, and that ratio decides whether mortgage insurance attaches to every payment for years. Choosing between 10% and 20% down is therefore a cash decision and an insurance decision at the same time.

Quick Answer

Down Payment = Purchase Price x Down Payment Percentage

DP
Down payment in dollars
Price
Agreed purchase price of the property
p
Down payment as a decimal — 10% becomes 0.10
LTV
Loan amount divided by purchase price
PMI
Private mortgage insurance, required above 80% LTV on conventional loans

Multiply the purchase price by the percentage you put down. On a $450,000 home, 10% is $45,000 and leaves a $405,000 loan at 90% loan-to-value. Because that exceeds 80%, private mortgage insurance applies — at a 0.50% annual premium that is $168.75 a month on top of principal and interest. Putting 20% down means $90,000 cash but removes the insurance entirely.

What Is A Down Payment?

Mechanically the arithmetic is one multiplication: price times percentage. What makes the number interesting is that it does three separate jobs at once. It reduces the amount you borrow, it signals risk to the lender, and it determines whether you will be paying for insurance that protects the lender rather than you. Those three consequences move together, which is why the same $45,000 can look either expensive or cheap depending on what it is buying.

The loan-to-value ratio is the translation layer between your cash and the lender's pricing. LTV is simply what you borrow divided by what the property is worth, and conventional lending treats 80% as the line. Borrow 80% or less and you get the base rate. Borrow more and the loan carries private mortgage insurance, which compensates the lender for the extra risk of a thin equity cushion. Nothing about your credit score removes this requirement in the conventional market — it is a function of LTV alone.

Worth being blunt about what PMI insures. It protects the lender's losses if you default and the foreclosure sale does not cover the balance. It pays nothing to you, it builds no equity, and it is priced as a percentage of the loan each year. On a $405,000 loan at a 0.50% annual premium that is $2,025 a year, or $168.75 a month, on top of principal and interest.

The insurance does eventually end, and the rules matter more than most buyers assume. Borrower-paid PMI can be requested once the loan reaches 80% LTV based on the original property value, and federal law requires automatic termination when the balance is scheduled to reach 78% of the original value, provided the loan is current. On a 6.5% thirty-year loan starting at $405,000 on a $450,000 purchase, paydown alone reaches 80% LTV after 131 months and 78% after 159 months — almost eleven and thirteen years respectively, because amortisation puts nearly all of each early payment toward interest. Appreciation can shorten this, but only through a formal process the borrower has to initiate.

That long tail is why "wait until you have 20%" is incomplete advice. Saving from $45,000 to $90,000 is not free: at a 5% return and $500 a month, closing that $45,000 gap takes 76.6 months, during which prices and rents move. Buying now with 10% down costs $168.75 a month of insurance for those 131 months — about $22,106 in total, spread across eleven years, and ending permanently once the threshold is reached. Compare that against several more years of rent plus the possibility of a higher purchase price, and the two answers are often much closer than the conventional wisdom suggests.

The calculation also excludes most of what actually drains a bank account at closing. Down payment and closing costs are different things: appraisal, title insurance, lender fees, prepaid property taxes and homeowners insurance, and initial escrow deposits typically add another two to five percent of the loan. Reserves are a third category — many lenders want to see two to six months of payments sitting liquid after closing. A buyer who puts every dollar into the down payment and has nothing left is the failure mode the industry calls house-poor.

Where the money comes from constrains what it can be. Gift funds from family are widely allowed for primary residences but must be documented with a letter confirming no repayment is expected. Retirement account withdrawals carry penalties and tax consequences. Borrowing the down payment through a personal loan or a second mortgage changes your debt-to-income ratio, which is why lenders scrutinise the source rather than just the amount.

Finally, minimums are not targets. Several large loan programmes permit far less than twenty percent — conventional loans allow three percent for first-time buyers, FHA allows 3.5%, and VA and USDA loans allow zero with their own guarantee structures. Each is a legitimate trade of higher ongoing cost or programme requirements for earlier access, and none of them removes the underlying arithmetic of borrowing more against a thinner cushion.

Formula

Down Payment = Purchase Price x Down Payment Percentage

The headline cash figure. Divide percentages by 100 — ten percent is 0.10, not 10.

SymbolMeaning
PPurchase price
pDown payment percentage as a decimal
DPCash due at closing toward the purchase

LTV = Loan Amount / Purchase Price

Loan divided by value. Above 0.80 on a conventional loan triggers private mortgage insurance and often a higher rate.

SymbolMeaning
LTVLoan-to-value ratio

Monthly PMI = Loan Amount x Annual PMI Rate / 12

The premium applies only while LTV exceeds 80%. Typical annual rates run from roughly 0.19% to 1.5% depending on credit score and LTV band.

SymbolMeaning
r(pmi)Annual PMI rate on the original loan amount
MMonthly insurance premium

How To Calculate A Down Payment

  1. 1

    Start from the price, not from the target monthly payment

    Working backwards from an affordable payment hides the cost of a low down payment, because it bundles insurance and rate into one number. Anchor on price and let every other figure follow.

  2. 2

    Multiply price by your down payment percentage

    $450,000 x 0.10 = $45,000. Write percentages as decimals; leaving 10 in place produces a tenfold error.

  3. 3

    Compute the loan and the LTV ratio

    Loan is $450,000 - $45,000 = $405,000, and LTV is $405,000/$450,000 = 90%. That is above the 80% threshold, so insurance applies.

  4. 4

    Price the insurance while it lasts

    At a 0.50% annual premium on $405,000 the monthly cost is $168.75. Multiply by the number of months before the balance reaches 80% to see the total rather than treating it as a permanent cost.

  5. 5

    Add closing costs and reserves separately

    Appraisal, title, prepaid taxes and insurance, plus two to six months of payment reserves, are on top of the down payment. Budget the full cash-to-close figure, not just the deposit.

Examples

Example 1: 10% down on a $450,000 purchase

Purchase price
$450,000
Down payment
10%
PMI rate
0.50% per year
Loan rate and term
6.50%, 30 years
StepCalculationResult
Down payment$450,000 x 0.10$45,000.00
Loan amount$450,000 - $45,000.00$405,000.00
Loan-to-value ratio$405,000.00 ÷ $450,00090%
Monthly PMI$405,000.00 x 0.005 ÷ 12$168.75 per month
Principal and interest$405,000.00 at 6.50% over 30 years$2,559.88 per month
Total monthly housing payment$2,559.88 + $168.75$2,728.63 per month

Result: $45,000.00 down leaves a $405,000.00 loan at 90% LTV and $2,728.63 per month including $168.75 of mortgage insurance.

Example 2: Comparing 10% against 20% down

Purchase price
$450,000
Option A
10% down, $45,000.00 cash
Option B
20% down, $90,000.00 cash
Loan rate and term
6.50%, 30 years
StepCalculationResult
20% down payment$450,000 x 0.20$90,000.00
Loan at 80% LTV — no insurance$450,000 - $90,000.00$360,000.00
Principal and interest on the smaller loan$360,000.00 at 6.50% over 30 years$2,275.44 per month
Monthly difference against the 10% option$2,728.63 - $2,275.44$453.19 per month
Extra cash required today$90,000.00 - $45,000.00$45,000.00

Result: $90,000.00 at 20% down costs $453.19 less per month; that difference buys you out of $45,000.00 of extra borrowing and its insurance.

Example 3: How long the insurance actually lasts

Loan
$405,000.00 at 6.50%, 30 years
PMI
$168.75 per month
Home value
$450,000 assumed constant
StepCalculationResult
Balance needed for 80% LTV$450,000 x 0.80$360,000.00
Months of paydown to get thereamortisation schedule from $405,000.00131 months
Balance needed for automatic termination at 78% LTV$450,000 x 0.78$351,000.00
Months to automatic terminationamortisation schedule to the 78% threshold159 months
Total premium paid to the 80% point$168.75 x 131$22,106.25

Result: $22,106.25 — the insurance reaches its 80% end point after 131 months and terminates automatically at 159 months if not cancelled earlier.

Calculator

Down payment required

$45,000.00

Loan amount
$405,000.00
Loan-to-value ratio
90.00%
Mortgage insurance per month
$168.75

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the A Down Payment calculator page.

Common Mistakes

  • Confusing down payment with total cash to close

    Closing costs, prepaid taxes, insurance escrows and required reserves sit on top. Budgeting only the deposit is the reason buyers arrive at settlement short.

  • Assuming PMI is permanent

    It ends when LTV reaches 78% automatically, and can be requested at 80% on borrower-paid policies. Treating eleven years of insurance as a lifetime cost distorts the buy-now-versus-wait comparison badly.

  • Expecting a great credit score to remove the requirement

    Rate and pricing improve with score, but conventional mortgage insurance is driven by LTV, not by creditworthiness. Only the premium rate responds to score.

  • Comparing alternatives by monthly payment alone

    FHA insurance and lender-paid options change duration and refundability, not just the monthly figure. Compare total cost over the period you actually expect to hold the loan.

  • Spending every available dollar on the deposit

    Reserves matter. Emptying savings to reach 20% leaves nothing for the roof, the job gap or the furnace, and those expenses are what force distressed sales.

FAQ

How much down payment do I actually need?

For conventional first-time-buyer loans the minimum can be as low as three percent, and FHA allows 3.5%. VA and USDA loans allow zero down for eligible borrowers. Twenty percent is not a legal requirement — it is simply the point at which conventional insurance no longer applies.

What is LTV and why does 80% matter?

Loan-to-value is the loan divided by the property value. In conventional lending, borrowing above 80% requires mortgage insurance, because the borrower's own equity cushion is thin enough that the lender wants additional protection.

Can gift money be used for a down payment?

Usually yes for primary residences, provided the donor signs a letter confirming the funds are a gift with no repayment obligation, and you can document the transfer. Programme rules differ for investment properties and second homes.

Is it better to wait and save 20% down?

Not automatically. Saving the difference takes years, during which rent is paid and prices may rise, while the insurance you are avoiding is finite and deductible from comparison once it terminates. Run both paths with your own rent and expected price movement.

Does a larger down payment lower my interest rate?

It can. Lenders price by risk tier, and lower LTV bands frequently carry better rates in addition to removing insurance. Ask for written quotes at the specific down payment levels you are choosing between.

References

  1. [1]Consumer Financial Protection Bureau, Regulation H, Homeowners Protection Act — private mortgage insurance cancellation — https://www.consumerfinance.gov/rules-policy/regulations/2034/
  2. [2]Federal Housing Finance Agency, Conventional loan limits and down payment requirements — https://www.fhfa.gov/DataTools/Downloads
  3. [3]Federal Trade Commission, Consumer Information, Home buying and mortgage basics for consumers — https://consumer.ftc.gov/topics/home-buying-mortgages