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How Mortgage Payments Are Calculated (EMI, Interest & Amortization)

Understand how your monthly mortgage payment is computed. Learn about principal, interest split, down payment impact, and how to save on total interest.

OurDailyCalc Team 5 min read

A mortgage is simply a large loan secured against property. The math behind your monthly payment is the same EMI formula used for any loan — but the numbers are bigger and the tenure is longer, which means interest plays a much larger role.

The formula

Loan Amount = Home Price × (1 − Down Payment %)
Monthly Payment = Loan × r × (1+r)ⁿ / ((1+r)ⁿ − 1)

r = Annual Rate / 12 / 100
n = Tenure in months

Down payment impact

Higher down payment = smaller loan = lower monthly payment + less total interest.

Home PriceDown PaymentLoanMonthly (7%, 20yr)Total Interest
$300,00010% ($30K)$270,000$2,093$232,280
$300,00020% ($60K)$240,000$1,860$206,471
$300,00030% ($90K)$210,000$1,628$180,662

A 20% down payment saves $25,809 in interest compared to 10%.

15-year vs 30-year

A shorter tenure means higher monthly payments but dramatically less total interest:

TenureMonthly PaymentTotal InterestTotal Paid
15 years$2,158$148,417$388,417
20 years$1,860$206,471$446,471
30 years$1,596$334,484$574,484

Going from 30 to 15 years saves $186,067 in interest!

What else is included

Your actual monthly housing cost often includes:

  • Principal & Interest (the mortgage itself)
  • Property Tax (annual tax / 12)
  • Insurance (homeowner’s insurance / 12)
  • PMI (if down payment < 20%, until you have 20% equity)

This total is called PITI.

How to reduce mortgage costs

  1. Higher down payment — reduces loan and may eliminate PMI
  2. Shorter tenure — dramatically reduces total interest
  3. Extra payments — even small monthly extras accelerate payoff
  4. Refinance — if rates drop by 0.5%+ after purchase
  5. Bi-weekly payments — equals one extra monthly payment per year

Calculate your mortgage with the OurDailyCalc mortgage calculator.

TL;DR

  • Mortgage uses the standard EMI formula on a larger principal
  • 20%+ down payment avoids PMI and saves significantly on interest
  • 15 vs 30 year tenure: ~$186K difference in interest on a $240K loan
  • Extra payments are the simplest way to pay off early
#mortgage #home loan #property #amortization #emi
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