Finance
How to Calculate EMI: Formula, Examples & What It Means
Learn how loan EMI is calculated, understand the principal, interest rate and tenure, and check a monthly payment with a simple example.
EMI stands for Equated Monthly Instalment. It is the fixed amount you pay your lender every month until a loan is repaid. Each EMI contains two parts, interest and principal, and the split changes over time: early payments are mostly interest, later payments are mostly principal.
What you need to calculate an EMI
For a standard reducing-balance loan you need three inputs: the principal (the amount borrowed), the annual interest rate, and the tenure in months.
The EMI formula
EMI = P × r × (1 + r)n ÷ ((1 + r)n − 1)
- P = principal loan amount
- r = monthly interest rate as a decimal (annual rate ÷ 12 ÷ 100)
- n = number of monthly payments
Worked example: ₹10,00,000 at 8.5% for 5 years
- Monthly rate: 8.5 ÷ 12 ÷ 100 = 0.0070833
- Number of payments: 5 × 12 = 60
- Put the values into the formula. The EMI comes to about ₹20,517 per month.
Over 60 months you would pay about ₹12,30,992 in total, so the interest cost is about ₹2,30,992.
How one EMI splits into interest and principal
In the first month the interest is charged on the full ₹10,00,000: ₹10,00,000 × 0.085 ÷ 12 = about ₹7,083. The rest of the EMI, about ₹13,433, reduces the principal. Next month the interest is charged on the smaller balance, so a little more of the same EMI goes to principal. This is why the loan balance falls slowly at first and faster near the end.
How tenure changes the cost
Here is the same ₹10,00,000 loan at 8.5% over three different tenures:
| Tenure | Monthly EMI | Total interest |
|---|---|---|
| 3 years | ₹31,568 | ₹1,36,431 |
| 5 years | ₹20,517 | ₹2,30,992 |
| 7 years | ₹15,836 | ₹3,30,265 |
A longer tenure lowers the monthly payment but increases the total interest. Choose the shortest tenure whose EMI you can pay comfortably.
How the interest rate changes the cost
For the same ₹10,00,000 over 5 years:
| Interest rate | Monthly EMI | Total interest |
|---|---|---|
| 8.5% | ₹20,517 | ₹2,30,992 |
| 9.5% | ₹21,002 | ₹2,60,112 |
| 10.5% | ₹21,494 | ₹2,89,634 |
One percentage point on the rate adds roughly ₹30,000 of interest here, even though the EMI moves by only about ₹500 a month. This is why small rate differences are easy to underestimate.
Flat rate versus reducing-balance rate
Some lenders and sellers quote a flat rate, where interest is charged on the full original amount for the whole tenure. That looks cheaper than it is. Take ₹5,00,000 for 3 years at a flat 7%:
- Interest: ₹5,00,000 × 7% × 3 = ₹1,05,000
- EMI: (₹5,00,000 + ₹1,05,000) ÷ 36 = about ₹16,806
The same ₹5,00,000 at 7% on a reducing balance would be an EMI of about ₹15,439. To get an EMI of ₹16,806 on a reducing balance, the rate would have to be about 12.8%. When you compare offers, ask for the reducing-balance (effective) rate.
What happens if you prepay
If you make a part payment, the interest on the lower balance falls. Using the ₹10,00,000, 8.5%, 5-year loan as an example, paying an extra ₹1,00,000 after the 12th EMI and keeping the EMI the same finishes the loan about 6 months early and saves about ₹37,500 of interest. Some loans charge a prepayment fee, so check your agreement before paying extra.
Check these before you accept a loan
- Is the rate fixed or floating? Floating rates can change your EMI or tenure.
- Is the rate quoted flat or reducing-balance?
- What are the processing fee, insurance and other charges? They raise the real cost.
- Is there a prepayment or foreclosure charge?
- Multiply the EMI by the number of payments and compare the total with the amount you borrow.
You can try your own numbers with the Internet Toolbox EMI Calculator. Change the amount, rate or tenure and watch how the monthly payment and total interest move.
This guide explains how EMI is calculated. It is not financial advice or a lender quote. Your lender's exact figure can differ because of rounding, fees and the way the loan is structured.
Frequently asked questions
Is EMI the same every month?
For a fixed-rate loan, yes. For a floating-rate loan, the lender may change the rate, which changes the EMI or the remaining tenure.
Why is the first EMI mostly interest?
Interest is charged on the outstanding balance, which is highest at the start. As the balance falls, less interest is charged and more of each EMI repays principal.
Does a longer tenure save money?
It lowers each payment, but you pay interest for more months, so the total cost is usually higher.
Try it yourself
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