EMI Calculator

What does this EMI Calculator do?

EMI stands for Equated Monthly Installment — the fixed amount you pay each month toward a loan, covering both principal and interest, until the loan is fully repaid. This calculator takes your loan amount, annual interest rate, and tenure, and works out your exact monthly payment along with the total interest you'll pay over the life of the loan.

The formula

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

Where P is the principal (loan amount), r is the monthly interest rate (annual rate ÷ 12 ÷ 100), and n is the total number of monthly installments (years × 12). This formula comes from the standard amortization model, where each payment is identical but the split between interest and principal shifts over time — early payments are mostly interest, later payments are mostly principal.

Step-by-step example

For a ₹10,00,000 loan at 8.5% annual interest over 20 years: monthly rate r = 8.5 ÷ 12 ÷ 100 = 0.007083, and n = 240 months.

EMI = 10,00,000 × 0.007083 × (1.007083)^240 ÷ [(1.007083)^240 − 1] ≈ ₹8,678 per month.

Over 240 months, total payment = 8,678 × 240 ≈ ₹20,82,776, meaning total interest paid ≈ ₹10,82,776 — more than the original loan amount, because of how compounding interest works over two decades.

Tips & common mistakes

• A longer tenure lowers your monthly EMI but significantly increases total interest paid — run the numbers for a few different tenures before deciding.
• Even a 1% difference in interest rate can change total interest by lakhs of rupees on a large, long-tenure loan — always shop around for the best rate.
• Making extra principal payments early in the loan (when interest makes up most of each EMI) saves far more in total interest than making the same extra payment later.
• Remember to convert the annual rate to a monthly rate (divide by 12) and to 100 (to convert from a percentage) before plugging into the formula by hand.

Why lenders use this exact formula

The EMI formula is derived from the mathematics of an "amortizing loan" — one where each payment is identical in amount, but the proportion going toward interest versus principal shifts every month. Early in the loan, most of your EMI goes toward interest because the outstanding principal is still large; toward the end, most of your EMI goes toward principal because the balance has shrunk. This is why paying off a loan early saves disproportionately more interest than the loan's average rate might suggest — you're skipping the high-interest early years.

EMI for different loan types

The exact same formula applies whether you're calculating a home loan, car loan, personal loan, or education loan — the only differences are typical interest rates and tenures. Home loans often run 15–30 years at relatively lower rates; personal loans are usually shorter (1–5 years) at meaningfully higher rates because they're typically unsecured.

More tips

• Two loans with the same EMI aren't necessarily equally good deals — always compare the total interest paid and the annual percentage rate (APR), not just the monthly number, since a longer tenure can produce a deceptively "affordable" EMI while costing much more overall.
• Prepayment penalties on some loans can offset the interest savings from paying early — check your specific loan's terms before assuming extra payments are automatically worth it.
• Floating-rate loans will see their EMI (or tenure) change if the underlying interest rate changes — this calculator assumes a fixed rate for the full tenure.

Frequently asked questions