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How loan EMI is calculated: the formula and an example

Understand the EMI formula, how interest rate and tenure change your monthly payment, and why a longer loan costs more in total.

An EMI (equated monthly instalment) is the fixed amount you pay every month on a loan. Part of each payment goes towards interest and the rest reduces the amount you owe. Early in the loan most of the EMI is interest; towards the end most of it is principal.

The formula

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

Example

A loan of ₹5,00,000 at 10% a year for 5 years gives r = 10 ÷ 12 ÷ 100 ≈ 0.00833 and n = 60. Putting these into the formula gives an EMI of about ₹10,624. Over 60 months you pay about ₹6,37,400 in total, so the interest is roughly ₹1,37,400.

What changes your EMI

Use the Loan EMI Calculator to try different amounts, rates and tenures before you sign. Treat the result as an estimate, your lender's sanction letter, including fees and insurance, is the final figure.

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