How EMI Works

Maintained by Prince Yadav — Founder & Lead Developer, Ganitra Calculator. This guide is written and maintained as part of Ganitra Calculator’s first-party educational content.

What is EMI?

EMI is a fixed periodic payment used to repay a loan over a chosen tenure. Each payment normally contains both principal and interest.

The formula

For a standard reducing-balance loan, EMI = P × r × (1+r)^n / ((1+r)^n − 1), where P is principal, r is the monthly interest rate, and n is the number of payments.

How to use the calculator

Enter the loan principal, annual interest rate, and tenure. Compare the monthly EMI with total payment and total interest before making a borrowing decision.

EMI versus total repayment

A lower monthly EMI does not automatically mean a cheaper loan. Compare the monthly payment with total repayment and total interest across different tenures.

Why tenure changes the trade-off

Increasing tenure spreads principal over more payment periods. This can improve monthly affordability while increasing the amount of interest paid.

Worked example

Suppose a borrower compares the same principal and rate over two tenures. The shorter option normally has a higher scheduled payment but fewer interest periods; the longer option normally has a lower payment but a higher total interest cost.

What to compare before borrowing

Look beyond EMI alone. Check the interest rate, total repayment, fees, prepayment rules, and whether the payment remains affordable under a less favorable scenario.

Using the calculator

Enter principal, annual rate, and tenure, then compare the result with an alternative tenure or rate.

Related Calculators

Use the Calculator

Take the concepts from this guide and test your own assumptions in the calculator.