How Loan EMI Is Calculated: The Formula, a Worked Example, and How to Reduce It

An EMI (equated monthly installment) is the fixed amount you pay every month to repay a loan. Each payment covers the interest for the month plus part of the principal. Early on, most of the payment is interest; later, most of it is principal.

The formula

EMI = P x r x (1 + r)^n / ((1 + r)^n - 1)

P = loan amount (principal)
r = monthly interest rate = annual rate / 12 / 100
n = number of monthly installments

A worked example

Borrow 1,000,000 at 9% per year for 5 years. Here r = 9 / 12 / 100 = 0.0075 and n = 60. Plugging these into the formula gives an EMI of about 20,758.36 per month.

• Total paid: 20,758.36 x 60 = about 1,245,501.
• Total interest: about 245,501 on a 1,000,000 loan.
• The same loan over 10 years gives an EMI of about 12,668 but total interest of about 520,109.

What changes the EMI

• Loan amount: the EMI scales in proportion to the principal.
• Interest rate: even a one-point difference adds up over the years.
• Tenure: longer means a lower EMI but much more total interest, as the 5-year versus 10-year example shows.

Ways to reduce the interest you pay

1. Make a larger down payment so you borrow less.
2. Choose the shortest tenure whose EMI you can comfortably afford.
3. Make part-prepayments; they reduce the outstanding principal, cutting interest, and you can choose to shorten the tenure or lower the EMI.
4. Compare rates and fees across lenders, and check whether floating rates can be reset.
5. Check for prepayment charges before committing.

Educational only

This explains the standard reducing-balance formula. Actual loans may include processing fees, insurance, or different compounding, so use your lender's schedule for exact numbers. This is not financial advice.

Frequently asked questions

What is the formula for EMI?

EMI = P x r x (1 + r)^n / ((1 + r)^n - 1), where P is the principal, r the monthly rate, and n the number of months.

Does a longer tenure reduce total cost?

No. It lowers the monthly payment but increases the total interest paid.

How does prepayment help?

It reduces the outstanding principal, so less interest accrues. You can use it to shorten the loan or lower the EMI.

Is EMI the same for the whole loan?

For a fixed-rate loan, yes. The split between interest and principal changes each month, but the total stays the same.

Try it: Loan EMI Calculator — free, runs in your browser, nothing is uploaded.

Originally published at ilovekit.app.