How to Calculate EMI: Formula and a Worked Example
Understand how a loan instalment is calculated, how the period changes the interest you pay, and how to check a bank offer.
EMI stands for equated monthly instalment. It is the fixed amount you pay each month until a loan is repaid. Each payment covers some interest and some of the original loan, called the principal.
The formula
EMI = P × r × (1 + r)^n ÷ ((1 + r)^n − 1)
- P is the loan amount.
- r is the monthly interest rate, which is the yearly rate divided by 12 and by 100.
- n is the number of months.
A worked example
Suppose you borrow 500,000 at 12% a year. The monthly rate is 1% (0.01).
- Over 3 years (36 months), the EMI is about 16,607. You repay 597,858 in total, so the interest is about 97,858.
- Over 5 years (60 months), the EMI falls to about 11,122. You repay 667,333 in total, so the interest is about 167,333.
A longer period lowers each payment, but you pay noticeably more interest overall. That is the trade-off to weigh before you choose a period.
Checking a bank offer
- Enter the loan amount, the yearly interest rate and the period in the EMI calculator.
- Compare the EMI and the total interest with the bank's figures.
- Ask about processing fees, insurance and early-repayment charges. These are usually not part of the basic EMI.
Your bank's figure can differ slightly from any calculator because of fees and rounding. Treat the result as a close estimate and confirm details with the lender.
Tips
- Keep your EMI comfortably below your monthly income, leaving room for other costs.
- If you can, choose the shortest period you can afford.