Interactive explainer
How the Mortgage Calculator works
Use this explainer to see how price, down payment, rate, term, taxes, insurance, HOA, and PMI combine into a full PITI-style payment.
Live explainer
Adjust the assumptions
Change inputs here to see the same calculation logic update immediately.
Enter the purchase price before closing costs.
Cash paid upfront toward the home price.
Choose the total repayment period.
Enter the annual mortgage interest rate.
Use the expected first payment date.
Add taxes, insurance, HOA, PMI, and other costs to the monthly total.
Enter the estimated annual property tax bill.
Enter the estimated annual homeowners insurance premium.
Annual PMI rate (usually 0.5-1%).
Enter the monthly homeowners association fee.
Enter other recurring annual ownership costs.
Immediate results
Estimated Monthly Payment
$2,349.91
Payment Breakdown
Table output
Open the calculator for the full detailed output.
Loan Summary
Table output
Open the calculator for the full detailed output.
Amortization Schedule (Annual)
Table output
Open the calculator for the full detailed output.
Sensitivity analysis
Rate, down payment, and home price are usually the most sensitive inputs. Test them before deciding a price range.
| Input | Scenario | Input value | Output | Output value |
|---|---|---|---|---|
| Home Price | -10% | $360,000.00 | Estimated Monthly Payment | $2,105.13 |
| Home Price | Current | $400,000.00 | Estimated Monthly Payment | $2,349.91 |
| Home Price | +10% | $440,000.00 | Estimated Monthly Payment | $2,744.69 |
| Down Payment | -10% | $72,000.00 | Estimated Monthly Payment | $2,535.53 |
| Down Payment | Current | $80,000.00 | Estimated Monthly Payment | $2,349.91 |
| Down Payment | +10% | $88,000.00 | Estimated Monthly Payment | $2,300.95 |
| Interest Rate | -10% | 5.57% | Estimated Monthly Payment | $2,223.23 |
| Interest Rate | Current | 6.19% | Estimated Monthly Payment | $2,349.91 |
| Interest Rate | +10% | 6.81% | Estimated Monthly Payment | $2,480.22 |
| Property Tax / Year | -10% | $2,880.00 | Estimated Monthly Payment | $2,323.24 |
| Property Tax / Year | Current | $3,200.00 | Estimated Monthly Payment | $2,349.91 |
| Property Tax / Year | +10% | $3,520.00 | Estimated Monthly Payment | $2,376.57 |
| Home Insurance / Year | -10% | $1,350.00 | Estimated Monthly Payment | $2,337.41 |
| Home Insurance / Year | Current | $1,500.00 | Estimated Monthly Payment | $2,349.91 |
| Home Insurance / Year | +10% | $1,650.00 | Estimated Monthly Payment | $2,362.41 |
| PMI (%) | -10% | 0.45% | Estimated Monthly Payment | $2,349.91 |
| PMI (%) | Current | 0.5% | Estimated Monthly Payment | $2,349.91 |
| PMI (%) | +10% | 0.55% | Estimated Monthly Payment | $2,349.91 |
Formula and calculation model
This calculator uses the standard amortization formula to determine the monthly principal and interest payment. M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ] Where: • M = Total monthly payment • P = Principal loan amount (Home Price - Down Payment) • i = Monthly interest rate (Annual Rate / 12) • n = Number of payments (Years * 12) It then adds monthly prorated amounts for Property Tax, Homeowners Insurance, HOA fees, and Private Mortgage Insurance (PMI) if applicable.
Input definitions
Home Price
The final negotiated selling price of the home.
Down Payment
The cash you pay upfront. A higher down payment reduces your loan amount and may eliminate the need for PMI.
Loan Term
Choose the total repayment period.
Interest Rate
The annual interest rate for the loan. This is determined by your credit score and current market conditions.
Start Date
Use the expected first payment date.
Include taxes & costs
Add taxes, insurance, HOA, PMI, and other costs to the monthly total.
Property Tax / Year
Enter the estimated annual property tax bill.
Home Insurance / Year
Enter the estimated annual homeowners insurance premium.
PMI (%)
Annual PMI rate (usually 0.5-1%).
HOA Fee / Month
Enter the monthly homeowners association fee.
Other Costs / Year
Enter other recurring annual ownership costs.
What the results mean
Estimated monthly payment
The primary cash-flow number to compare against your monthly budget.
Payment breakdown
Shows which parts of the payment build equity and which parts are recurring ownership costs.
Common mistakes
Looking only at principal and interest
A mortgage payment often includes taxes, insurance, HOA dues, and PMI.
Use the cost fields to model the full monthly cash requirement.
Treating PMI as permanent
The calculator estimates PMI from the starting loan balance.
Use it for planning, then check lender rules for when PMI can be removed.
Scenario and industry examples
Scenario
20 percent down conventional
A common benchmark that avoids PMI in this simplified model.
Scenario
Low down payment
Shows how a smaller down payment increases the loan amount and can trigger PMI.
Residential mortgage
First-time buyer
Compare 5 percent down against 20 percent down before deciding how much cash to reserve after closing.
Residential mortgage
Move-up buyer
Model a higher price plus HOA to see whether the new payment still fits monthly cash flow.
Glossary
- PITI
- Principal, Interest, Taxes, and Insurance. The sum of these four components makes up your total monthly mortgage payment.
- Amortization
- The process of spreading out a loan into a series of fixed payments. The loan is paid off at the end of the payment schedule.
- Escrow
- An account held by the lender to pay property taxes and insurance on your behalf.
FAQ clusters
Mortgage payment planning
Should I use this result as a loan approval?
No. Use it as a planning estimate, then verify eligibility, rates, reserves, and program rules with a lender.
Why do small input changes move the result so much?
Housing and loan calculators compound assumptions across interest, term, principal, and recurring costs, so rate or debt changes can have a large monthly effect.