Mortgage & Amortization Calculator

Calculate monthly mortgage payments, interest breakdown, taxes, insurance, and full amortization schedule.

Configurable Calculation Inputs

  • Home Purchase Price: Total contract price of the home (Default: 450000 $)
  • Down Payment (%): Percentage of home price paid upfront (Default: 20 %)
  • Loan Term: select (Default: 30)
  • Annual Interest Rate: Annual percentage interest rate (Default: 6.5 %)
  • Annual Property Tax: Average annual property tax percentage (Default: 1.2 %)
  • Annual Homeowners Insurance: number (Default: 1500 $)
  • Monthly HOA / Condo Fee: number (Default: 0 $)

Mathematical Formula: Fixed-Rate Monthly Mortgage Formula

M = P * [ r(1 + r)^n ] / [ (1 + r)^n - 1 ]

Where M is total monthly mortgage payment, P is the loan principal amount, r is the monthly interest rate (annual rate / 12), and n is total number of monthly payments (years * 12).

Comprehensive Guide & Context

How Fixed-Rate Mortgage Payments Work

A standard fixed-rate mortgage splits each monthly installment between reducing the principal debt balance and paying off accrued interest. In the early years of a 30-year loan, the vast majority of each payment covers interest charges. As the principal drops, interest decreases and principal repayment accelerates.

  • Making just one extra principal payment per year on a 30-year mortgage can shave off over 5 years of loan tenure.
  • Refinancing to a lower rate or shorter 15-year term drastically reduces lifetime interest paid.

The True Components of PITI

Lenders evaluate your total housing debt using the PITI metric: Principal, Interest, Taxes, and Insurance. When applicable, HOA dues and Private Mortgage Insurance (PMI) are added to calculate your qualifying Debt-to-Income (DTI) ratio.

Worked Calculation Examples

Median US Starter Home (20% Down)

$400,000 purchase price, 20% down ($80k), 30-year fixed at 6.75%.

Result: $2,546 / month

15-Year Accelerated Equity Loan

$500,000 purchase with 25% down at 6.0% interest to build rapid equity.

Result: $3,835 / month

Frequently Asked Questions

What is the 28/36 rule in mortgage qualification?

The 28/36 rule suggests that a household should spend no more than 28% of its gross monthly income on housing costs (PITI) and no more than 36% on total debt service (housing + auto loans + student debt + credit cards).

How is PMI removed?

Under the federal Homeowners Protection Act, borrowers can request cancellation of PMI once their loan principal balance reaches 80% of the original home value, and it automatically terminates at 78% Loan-to-Value (LTV).

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