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How Is EMI Calculated? The Loan Formula Explained Simply

Your EMI isn't a mystery number the bank picks — it comes from one formula. Here's exactly how it works, with a real worked example.

Published 29 July 2026 · Updated 29 July 2026

The EMI formula

EMI = P × r × (1 + r)ⁿ ÷ ((1 + r)ⁿ − 1)

Where:

  • P = Principal — the loan amount you're borrowing
  • r = Monthly interest rate — your annual rate ÷ 12 ÷ 100 (converting a yearly percentage into a monthly decimal)
  • n = Total number of monthly instalments — loan tenure in years × 12

A worked example

Say you borrow $20,000 at 9% annual interest over 5 years.

  • P = 20,000
  • r = 9 ÷ 12 ÷ 100 = 0.0075
  • n = 5 × 12 = 60 months

Plugging into the formula gives an EMI of approximately $415/month. Over 60 months that's about $24,900 total — meaning roughly $4,900 of that is interest.

Skip the maths — get your exact EMI instantly:

Open the Loan EMI Calculator

Why EMI stays the same but the split changes

Every EMI payment is actually two parts blended into one number: interest and principal repayment. In the early months, most of your EMI goes toward interest, because the outstanding balance is still high. As the balance shrinks, more of each later EMI goes toward the principal instead — even though the total monthly payment never changes. This is called the reducing balance method, and it's how nearly all standard EMI loans work.

Flat rate vs. reducing balance — don't get caught out

Some lenders (especially for smaller personal or consumer loans) advertise a flat interest rate instead. This charges interest on the full original loan amount for the entire tenure, rather than on the shrinking balance. A flat rate that looks lower than a reducing-balance rate can actually cost significantly more overall — always ask which method a loan uses before comparing rates.

Ways to lower your EMI or total interest

  • Choose a longer tenure to reduce the monthly EMI — but note this increases total interest paid over the loan's life.
  • Make a larger down payment to shrink the principal you're borrowing against.
  • Prepay when you can. Even small extra payments toward principal (where allowed without penalty) reduce the balance interest is calculated on, saving money over the remaining tenure.
  • Compare rates before committing — even a 1% difference in annual rate meaningfully changes total interest on a multi-year loan.
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Frequently asked questions

What is the EMI formula?

EMI = P × r × (1+r)^n / ((1+r)^n − 1), where P is the loan amount (principal), r is the monthly interest rate (annual rate ÷ 12 ÷ 100), and n is the total number of monthly instalments.

Does a longer loan tenure reduce EMI?

Yes, a longer tenure spreads the same loan amount over more instalments, lowering each monthly payment — but it increases the total interest paid over the life of the loan, since interest accrues for longer.

What is the difference between flat rate and reducing balance interest?

Reducing balance interest (used for EMI) charges interest only on the outstanding principal, which shrinks with every payment. Flat rate interest charges interest on the full original amount for the entire tenure, which sounds cheaper but usually works out significantly more expensive overall.

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