Payment breakdown
What makes up the monthly number
- Principal & interest $2,528.27
- Property tax $400.00
- Insurance $150.00
- PMI / HOA $0.00
Mortgage Calculator
Gold-standard mortgage product
Payment, cost layers, charts and schedule in one record
This is the deeper mortgage workbench under the signature calculator and clock hero. It keeps the answer, proof and exportable schedule together.
Estimated monthly cost$3,078.27$2,528.27 principal and interest + $550.00 monthly ownership costs.
$400,000Loan amount$510,178Total interest30.0 yrPayoff time30.8%Housing DTI
Amortization chart
Balance falls as payments age
Early payments carry more interest. Later payments pay down more principal because the balance is smaller.
Schedule
Amortization table
| Year | Payment | Principal | Interest | Extras | Balance |
|---|---|---|---|---|---|
| 1 | $36,939 | $4,471 | $25,868 | $6,600 | $395,529 |
| 2 | $36,939 | $4,770 | $25,569 | $6,600 | $390,759 |
| 3 | $36,939 | $5,090 | $25,249 | $6,600 | $385,669 |
| 4 | $36,939 | $5,431 | $24,909 | $6,600 | $380,238 |
| 5 | $36,939 | $5,794 | $24,545 | $6,600 | $374,444 |
| 6 | $36,939 | $6,182 | $24,157 | $6,600 | $368,261 |
| 7 | $36,939 | $6,596 | $23,743 | $6,600 | $361,665 |
| 8 | $36,939 | $7,038 | $23,301 | $6,600 | $354,627 |
| 9 | $36,939 | $7,510 | $22,830 | $6,600 | $347,117 |
| 10 | $36,939 | $8,013 | $22,327 | $6,600 | $339,105 |
| 11 | $36,939 | $8,549 | $21,790 | $6,600 | $330,555 |
| 12 | $36,939 | $9,122 | $21,218 | $6,600 | $321,434 |
| 13 | $36,939 | $9,733 | $20,607 | $6,600 | $311,701 |
| 14 | $36,939 | $10,384 | $19,955 | $6,600 | $301,316 |
| 15 | $36,939 | $11,080 | $19,259 | $6,600 | $290,237 |
| 16 | $36,939 | $11,822 | $18,517 | $6,600 | $278,415 |
| 17 | $36,939 | $12,614 | $17,726 | $6,600 | $265,801 |
| 18 | $36,939 | $13,458 | $16,881 | $6,600 | $252,342 |
| 19 | $36,939 | $14,360 | $15,979 | $6,600 | $237,983 |
| 20 | $36,939 | $15,322 | $15,018 | $6,600 | $222,661 |
| 21 | $36,939 | $16,348 | $13,992 | $6,600 | $206,314 |
| 22 | $36,939 | $17,442 | $12,897 | $6,600 | $188,871 |
| 23 | $36,939 | $18,611 | $11,729 | $6,600 | $170,260 |
| 24 | $36,939 | $19,857 | $10,482 | $6,600 | $150,403 |
| 25 | $36,939 | $21,187 | $9,152 | $6,600 | $129,217 |
| 26 | $36,939 | $22,606 | $7,734 | $6,600 | $106,611 |
| 27 | $36,939 | $24,120 | $6,220 | $6,600 | $82,491 |
| 28 | $36,939 | $25,735 | $4,604 | $6,600 | $56,756 |
| 29 | $36,939 | $27,459 | $2,881 | $6,600 | $29,298 |
| 30 | $36,939 | $29,298 | $1,042 | $6,600 | $0 |
Formula
Loan amount = home price − down payment. Monthly principal-and-interest payment = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), where P is loan principal, r is monthly interest rate and n is total monthly payments. Estimated monthly cost = principal and interest + property tax + insurance + PMI + HOA. Extra-payment and biweekly comparisons simulate monthly amortization with the same interest rate.
Worked example
Home price 500,000 minus down payment 100,000 gives a 400,000 loan. At 6.5% annual interest, the monthly rate is 0.065 ÷ 12. Over 30 years there are 360 payments, so the fixed principal-and-interest payment is about 2,528.27. Add 400 property tax, 150 insurance, 0 PMI and 0 HOA for an estimated monthly housing cost of about 3,078.27.
Professional note
Master’s Tip: compare the same home at 15, 20 and 30 years, then print a second report with a one-point higher rate. That shows whether affordability depends on a fragile rate assumption.
Regional and unit assumptions
Standard or basis: US-first fixed-rate amortising mortgage arithmetic with monthly payments. The page is globally readable but does not claim compliance with any lender, APR, escrow, tax or consumer-credit disclosure rule.
Assumptions and limitations
- US dollars are used by default because the first traffic target is the US mortgage-search market.
- The payment formula estimates a fixed-rate monthly principal-and-interest payment.
- Property tax, home insurance, PMI and HOA are simple monthly planning inputs, not official escrow or lender disclosures.
- Annual cost escalation applies only to property tax, insurance, PMI and HOA planning lines, not the fixed principal-and-interest payment.
- Closing costs, lender fees, APR rules, refinance costs, variable-rate changes, tax deductions and local legal rules are not modeled.
- This is planning arithmetic only, not lending, legal, tax or financial advice.
Methodology & Accuracy
How this calculator is checked
CalculationTime pages are built around visible arithmetic: the formula, assumptions, worked example and practical limitations are shown so the result can be checked rather than simply trusted.
Formula used
Loan amount = home price − down payment. Monthly principal-and-interest payment = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), where P is loan principal, r is monthly interest rate and n is total monthly payments. Estimated monthly cost = principal and interest + property tax + insurance + PMI + HOA. Extra-payment and biweekly comparisons simulate monthly amortization with the same interest rate.
Standard or basis
Standard or basis: US-first fixed-rate amortising mortgage arithmetic with monthly payments. The page is globally readable but does not claim compliance with any lender, APR, escrow, tax or consumer-credit disclosure rule.
Where a calculator follows a named legal, trade or industry standard, that standard is cited visibly. Otherwise the page uses transparent general arithmetic and states its limits.Master's Tip
Master’s Tip: compare the same home at 15, 20 and 30 years, then print a second report with a one-point higher rate. That shows whether affordability depends on a fragile rate assumption.
Questions
How do you calculate a mortgage payment?
Subtract the down payment from the home price to get the loan amount, convert the annual rate to a monthly rate, then apply the fixed-payment loan formula across the total number of monthly payments.
Does this include taxes, insurance, PMI and HOA?
Yes, as optional monthly planning fields. The calculator shows principal and interest separately, then adds property tax, home insurance, PMI and HOA to estimate the fuller monthly housing cost.
Is this the same as an official lender quote?
No. A lender quote may include APR rules, fees, escrow treatment, discount points, mortgage insurance rules and local disclosures. This page is transparent planning arithmetic.
Why does the down payment matter?
The down payment lowers the loan amount. It can also affect mortgage-insurance requirements in real lending, though this calculator only includes PMI if you enter it as a monthly amount.
Why compare 15-year and 30-year terms?
A shorter term usually raises the monthly payment but can sharply reduce total interest. A longer term can feel easier monthly while costing more over the life of the loan.
Calculation note
Mortgage calculators are popular because house-hunting turns one large price into a monthly household decision. A strong mortgage page must not hide the difference between principal-and-interest math and the fuller monthly cost of owning the property.
Start with the real borrowed amount
Home buyers think in purchase price, but the payment formula needs the loan principal. Separating home price and down payment prevents the most common early confusion.
Principal and interest are only the core payment
CalculatorTime shows the fixed loan payment first, then adds taxes, insurance, PMI and HOA as visible monthly layers. That is clearer than blending everything into one unexplained number.
The term controls the trade-off
Thirty-year loans often lower the monthly payment, while fifteen-year loans can reduce lifetime interest. The report should make that trade-off obvious rather than bury it in fine print.
A premium report beats a quick answer
The printable record is designed for a buyer, partner, broker or classroom discussion: assumptions, formula, cost layers and exclusions stay attached to the number.