How EMI Is Calculated: Formula, Examples and How Prepayment Saves Interest
The EMI formula explained with worked examples for home, car and personal loans, why early EMIs are mostly interest, flat vs reducing rates, and the power of prepayment.
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An EMI (equated monthly instalment) is the fixed amount you pay every month to repay a loan. Each EMI covers that month's interest plus a slice of the principal — and the split changes every month.
The formula
EMI = P × r × (1 + r)^n ÷ ((1 + r)^n − 1)- P — loan amount
- r — monthly interest rate = annual rate ÷ 12 ÷ 100
- n — number of monthly instalments
Worked examples
| Loan | Amount | Rate | Tenure | EMI | Total interest |
|---|---|---|---|---|---|
| Home loan (India) | ₹50,00,000 | 8.5% | 20 years | ≈ ₹43,391 | ≈ ₹54.1 lakh |
| Car loan | ₹8,00,000 | 9.5% | 5 years | ≈ ₹16,802 | ≈ ₹2.08 lakh |
| Personal loan (UAE) | AED 100,000 | 7% reducing | 4 years | ≈ AED 2,395 | ≈ AED 14,950 |
Run your own numbers — with a month-by-month schedule — in the free EMI Calculator.
Why early EMIs are mostly interest
Interest is charged on the outstanding balance. At the start the balance is highest, so most of the EMI goes to interest. On the ₹50 lakh home loan above, the first EMI is about ₹35,400 interest and only ₹8,000 principal. By the final years, it's almost all principal.
Flat rate vs reducing balance
Many UAE car and personal loans are quoted at a flat rate, where interest is calculated on the original amount for the whole term. A 3.5% flat rate over 4 years is roughly equivalent to a 6.5% reducing rate. Always compare loans on the reducing (or APR) basis — the EMI Calculator converts flat to reducing for you.
Prepayment: the biggest lever
Because interest accrues on the balance, every extra payment eliminates all future interest on that amount. On the ₹50 lakh loan, paying one extra ₹43,391 each year cuts the tenure by more than 3 years and saves roughly ₹10 lakh in interest. Check prepayment charges first — in India, floating-rate home loans to individuals carry none; UAE banks typically cap early settlement fees at 1% of the outstanding amount.
Choosing a tenure
Longer tenure → lower EMI but much more interest. Pick the shortest tenure whose EMI fits comfortably; many advisers suggest keeping total EMIs under 40–50% of take-home pay. See how much you can borrow with the Loan Eligibility Calculator.
Business loans
For working-capital and term loans, the Business Loan EMI Calculator adds a year-by-year view. And Pyalm Books keeps loan repayments, cash flow and the rest of your accounts in one place, so you always know what you can afford.
This guide is general information, not financial advice.
Related free tools
EMI Calculator | Loan Eligibility Calculator | Business Loan EMI Calculator | SIP Calculator | All free tools