How EMI Is Calculated: Formula, Examples and Tips
The EMI formula explained step by step, with car, personal and home loan examples, how tenure changes total interest, and how to lower your monthly instalment.
By Browser Tools Team · · 3 min read
EMI (equated monthly instalment) is the fixed amount you pay every month to repay a loan with interest. It's calculated with the formula EMI = P × r × (1 + r)^n ÷ ((1 + r)^n − 1). For a loan of ₹5,00,000 at 10.5% a year over 5 years, the EMI is about ₹10,747. The EMI Calculator works it out for any loan and shows the full schedule.
What do the letters in the formula mean?
- P: the principal, the amount you borrow.
- r: the monthly interest rate. Divide the yearly rate by 12 and by 100. 10.5% a year → 0.105 ÷ 12 = 0.00875.
- n: the number of monthly instalments. 5 years = 60.
The formula makes every instalment equal, while the interest part shrinks and the principal part grows each month.
Worked examples
| Loan | Amount | Rate | Tenure | EMI | Total interest |
|---|---|---|---|---|---|
| Personal loan | 5,00,000 | 10.5% | 5 years | 10,746.95 | 1,44,817 |
| Personal loan | 5,00,000 | 10.5% | 3 years | 16,251.22 | 85,044 |
| Car loan | 20,000 | 8% | 5 years | 405.53 | 4,332 |
The first two rows show the classic trade-off. Stretching the same loan from 3 to 5 years cuts the EMI by about 5,500 a month, but you pay about 60,000 more in interest.
How does each EMI split into interest and principal?
Month 1 of the 5-lakh loan: interest = 5,00,000 × 0.00875 = 4,375. The rest of the EMI, 10,746.95 − 4,375 = 6,371.95, reduces the loan. Next month the interest is a little lower because the balance is lower, so more goes to principal. By the last year almost the whole EMI is principal.
How do you use the EMI Calculator?
- Open the EMI Calculator.
- Enter the loan amount.
- Enter the yearly interest rate from your lender.
- Enter the loan term and choose years or months, and pick the month of the first payment.
- Optionally add an extra monthly payment to see the interest and months saved.
- Read the monthly EMI, total interest, total paid and payoff date. Expand the amortization schedule by year, and use Download CSV to open it in Excel or Google Sheets.
Choose your currency (rupee, dollar, dirham and more). The calculation runs in your browser, so your figures aren't sent anywhere.
How can you lower your EMI or total cost?
- Bigger down payment: borrow less and both the EMI and interest fall.
- Shorter tenure: higher EMI, but much less interest overall. Pick the shortest tenure you can comfortably afford.
- Lower rate: compare lenders. A good credit history usually gets a better rate.
- Prepay when you can: a bonus or extra savings paid towards the principal cuts future interest. Check for prepayment charges.
- Avoid add-ons you don't need: optional insurance bundled into the loan increases the amount you borrow.
How much EMI can you afford?
A common rule of thumb is to keep all your EMIs together under about 30–40% of your monthly take-home income, leaving room for living costs, savings and emergencies. Lenders have their own limits. Build an emergency fund before taking on a big EMI.
Reducing-balance vs flat-rate loans
The formula above is for reducing-balance loans, where interest is charged only on what you still owe. Some lenders advertise a flat rate, where interest is charged on the original amount for the whole tenure. A flat rate looks lower but costs much more; a 10% flat rate works out to roughly a 17–18% reducing rate over 3–5 years. Always ask for the reducing-balance rate (often called the APR) to compare offers fairly.
Home loans and the schedule
For a home loan with property tax, insurance and a down payment, use the Home Loan Calculator, and read how mortgage amortization works for a full worked example. To see the other side of interest, how savings grow, try the Compound Interest Calculator.
Work out your instalment now with the free EMI Calculator. This guide is general information, not financial advice; confirm the final figures with your lender.
Frequently asked questions
What is the EMI formula?
EMI = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), where P is the loan amount, r the monthly interest rate (yearly rate ÷ 12 ÷ 100) and n the number of months.
Does a longer tenure save money?
No. A longer tenure lowers the EMI but increases the total interest. For example, 5 lakh at 10.5% costs about 85,000 interest over 3 years but about 1,45,000 over 5 years.
Does EMI include processing fees?
No. Processing fees, insurance and taxes on fees are separate. Ask the lender for the full cost of the loan.
Can I prepay a loan to reduce interest?
Usually yes. Prepayment reduces the principal, so you pay less interest afterwards. Check whether your lender charges a prepayment or foreclosure fee.
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