Mortgage Calculator

Calculate monthly home loan principal and interest, PITI + HOA breakdown, and full amortization schedule with extra payment savings.

Estimated Total Monthly Payment
$2,648.75
Includes $2,123.75 P&I + $525.00 taxes, insurance & fees
Loan Principal $336,000.00
Principal & Interest $2,123.75
Total Interest Over Term $428,549.48
Total Principal + Interest $764,549.48
Inputs
USD ($)
Agreed contract price or estimated property value.
USD ($)
Upfront cash equity (20% or more avoids conventional PMI).
% / yr
Nominal annual fixed interest rate (0% supported).
years
Common terms are 15, 20, or 30 years.
USD / yr
Local annual real estate tax assessment.
USD / yr
Annual hazard/property insurance premium.
USD / mo
Monthly homeowners association dues, if applicable.
USD / mo
Optional recurring extra principal to accelerate payoff.
Results & Graph
Estimated Total Monthly Payment
$2,648.75
Includes $2,123.75 P&I + $525.00 taxes, insurance & fees
Loan Principal
$336,000.00
20% down payment
Principal & Interest
$2,123.75
Total Interest Over Term
$428,549.48
127.5% of loan principal
Total Principal + Interest
$764,549.48
Paid off in 30 years

Annual Principal vs. Interest Breakdown

How each year of payments shifts from interest toward equity
Graph 1 • Annual Principal vs. Interest Breakdown How each year of payments shifts from interest toward equity
0 6.4k 12.7k 19.1k 25.5k Yr 1Yr 5Yr 9Yr 13Yr 17Yr 21Yr 25Yr 29Yr 30
Graph 2 • Latest Period Component Values Values retain their calculator-defined labels and units.
Principal Paid ($) 24,610 USD Interest Paid ($) 875 USD
Graph 3 • Monthly Payment vs. Interest Rate Shows the scheduled monthly loan payment across rate assumptions, with other inputs held constant.
0 1.7k 3.4k 4.5%: 2,227.46 2.2k 4.5% 5.5%: 2,432.77 2.4k 5.5% 6.5%: 2,648.75 2.6k 6.5% 7.5%: 2,874.36 2.9k 7.5% 8.5%: 3,108.55 3.1k 8.5%
Summary: Across 360 months, total principal repaid is $336,000.00 and total interest paid is $428,549.48.
Summary: On a $336,000.00 loan at 6.5% over 30 years, you will pay $2,123.75/month in principal and interest ($2,648.75/month including taxes, insurance and HOA). Total cumulative interest is $428,549.48.

Annual Mortgage Amortization Schedule

YearPrincipal PaidInterest PaidEnding Balance
Year 1$3,755.56$21,729.43$332,244.44
Year 2$4,007.07$21,477.91$328,237.37
Year 3$4,275.44$21,209.55$323,961.93
Year 4$4,561.77$20,923.21$319,400.16
Year 5$4,867.28$20,617.70$314,532.88
Year 6$5,193.25$20,291.73$309,339.63
Year 7$5,541.05$19,943.93$303,798.58
Year 8$5,912.15$19,572.84$297,886.44
Year 9$6,308.09$19,176.89$291,578.34
Year 10$6,730.56$18,754.42$284,847.78
Year 11$7,181.32$18,303.67$277,666.47
Year 12$7,662.26$17,822.72$270,004.21
Year 13$8,175.42$17,309.56$261,828.79
Year 14$8,722.94$16,762.04$253,105.85
Year 15$9,307.13$16,177.85$243,798.71
Year 16$9,930.45$15,554.53$233,868.27
Year 17$10,595.51$14,889.47$223,272.76
Year 18$11,305.11$14,179.87$211,967.65
Year 19$12,062.23$13,422.75$199,905.41
Year 20$12,870.06$12,614.92$187,035.35
Year 21$13,732.00$11,752.99$173,303.35
Year 22$14,651.65$10,833.33$158,651.70
Year 23$15,632.90$9,852.08$143,018.80
Year 24$16,679.87$8,805.12$126,338.93
Year 25$17,796.95$7,688.04$108,541.98
Year 26$18,988.84$6,496.14$89,553.14
Year 27$20,260.56$5,224.42$69,292.58
Year 28$21,617.45$3,867.54$47,675.14
Year 29$23,065.21$2,419.77$24,609.93
Year 30$24,609.93$875.06$0.00

Formula & Mathematical Methodology: Fixed-Rate Monthly Mortgage Payment Formula

M = P · r(1 + r)n(1 + r)n − 1 + Tax + Insurance + HOA + PMI12(r > 0)
M = Pn(r = 0)
M = P × [ r(1 + r)^n ] / [ (1 + r)^n − 1 ] (for r > 0); M = P / n (for r = 0)
  • M: Scheduled monthly principal and interest payment
  • P: Loan principal (Home Price minus Down Payment)
  • r: Monthly periodic interest rate (Annual Rate ÷ 12 ÷ 100)
  • n: Total number of monthly payments (Loan Term in Years × 12)

Rounding: Internal amortization tracks full floating-point precision; currency outputs round to 2 decimal places (cents) at display.

Worked Example: $420,000 Home with 20% Down ($84,000) at 6.5% for 30 Years

A buyer purchases a $420,000 home with $84,000 down, leaving a $336,000 loan principal at 6.5% over 360 months, plus $4,800/yr property tax and $1,500/yr insurance.

  1. Compute monthly P&I: $336,000 × [0.0054167 × (1.0054167)^360] ÷ [(1.0054167)^360 − 1] = $2,123.75.
  2. Add monthly escrow: $4,800 ÷ 12 = $400.00 property tax + $1,500 ÷ 12 = $125.00 insurance.
  3. Total monthly PITI payment = $2,123.75 + $400.00 + $125.00 = $2,648.75/month.
Result: Monthly P&I is $2,123.75 ($2,648.75 total PITI) and total interest over 30 years is $428,550.20.

Frequently Asked Questions

How do extra monthly payments reduce total mortgage interest?

Every extra dollar paid above your scheduled P&I directly reduces your remaining loan principal. Because next month’s interest is calculated on a smaller balance, more of every future regular payment goes toward principal, shortening your payoff timeline.

When is Private Mortgage Insurance (PMI) required?

On most conventional US mortgages, lenders require PMI when your down payment is less than 20% of the home purchase price (Loan-to-Value > 80%). Under the Homeowners Protection Act, borrowers can request PMI cancellation once equity reaches 20%.

Finance & Investing • Real Estate & Home Loans Guide

How to Use the Mortgage Calculator: Practical Guide & Visual Analysis

Plan your home purchase or refinance with a full PITI (Principal, Interest, Taxes, and Insurance) breakdown, conventional PMI estimation when down payment is below 20%, and year-by-year amortization schedule. Whether you are researching home loan payment, mortgage payment, house payment, amortization schedule, piti calculator, this interactive tool helps you estimate monthly mortgage payments including principal, interest, taxes, insurance, PMI, HOA fees, and extra principal payoff savings.

Interpreting the 3 Custom Visual Graphs & Key Outputs

As you adjust Home Purchase Price, Down Payment Amount, Annual Interest Rate (APR), Loan Term, the calculator immediately computes Estimated Total Monthly Payment ($), Principal & Interest Payment ($), Total Interest Over Term ($), Annual Amortization Schedule and updates all three domain-specific SVG charts in real time. Instead of relying on a single static figure, you can inspect the primary domain diagram, component breakdown, and multi-point trajectory curve to see how changing your inputs shifts the final result. Use the Compare (up to 3 scenarios) button to evaluate side-by-side variations before making a decision.

Real-World Benchmark & Planning Tips (Global / United States Convention (Monthly Compounding))

In our benchmark scenario ($420,000 Home with 20% Down ($84,000) at 6.5% for 30 Years), Monthly P&I is $2,123.75 ($2,648.75 total PITI) and total interest over 30 years is $428,550.20. Keep in mind that interest compounds monthly on a fixed-rate amortizing schedule. For related calculations in Finance & Investing, explore Loan & EMI Calculator, Compound Interest Calculator, CAGR & FIRE Calculator (Financial Independence).