How Is EMI Calculated? The Formula Explained with Examples

Whether you are taking a home loan, a car loan or a personal loan, your lender will quote you an EMI — the fixed amount you pay every month. But how is that number worked out, and why does so little of it seem to reduce your loan at first? This guide explains it in plain English.

The EMI formula

Almost every bank uses the same reducing-balance formula:

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

• P – the amount you borrow
• r – the monthly interest rate (yearly rate ÷ 12 ÷ 100)
• n – the number of monthly payments

A worked example

Say you borrow 100,000 at 10% a year for 1 year.

1. Monthly rate: 10 ÷ 12 ÷ 100 = 0.008333
2. Number of payments: 12
3. (1 + r)ⁿ = 1.008333¹² ≈ 1.1047
4. EMI = 100,000 × 0.008333 × 1.1047 ÷ (1.1047 − 1) ≈ 8,792

Over the year you pay 12 × 8,792 ≈ 105,499 — so the loan costs you about 5,499 in interest.

Why early EMIs are mostly interest

Each month, interest is charged on the balance you still owe. At the start your balance is highest, so the interest part of your EMI is largest and only a small part reduces the principal. As the balance falls, the interest shrinks and more of each EMI pays down the loan. You can see this clearly in the amortization schedule of our EMI calculator.

Five ways to pay less interest

1. Borrow less – a larger down payment cuts both EMI and total interest.
2. Shorten the tenure – higher EMI, but much less interest overall.
3. Compare rates – a 1% lower rate on a large, long loan saves a lot.
4. Prepay – extra payments reduce principal directly.
5. Check the method – make sure your rate is on a reducing balance, not a flat rate.

Ready to run your own numbers? Try the EMI calculator or, for a home purchase, the mortgage calculator.