EMI Calculator
Calculate the equated monthly instalment (EMI) on a loan from the principal, the annual interest rate, and the repayment term. The result shows the fixed monthly payment along with the total interest paid over the life of the loan.
EMI formula
The standard formula for a fixed-rate loan repaid in equal monthly instalments is:
EMI = P × i × (1 + i)^n / ((1 + i)^n − 1)
Pis the principal, the amount borrowed.iis the monthly interest rate, the annual rate divided by 12. An annual rate of 9% givesi = 0.09 / 12 = 0.0075.nis the number of monthly payments, the term in years multiplied by 12.
Every EMI contains both interest and principal. Early in the term most of the payment covers interest; as the outstanding balance falls, a growing share of each instalment repays principal. This shift is what an amortization schedule shows month by month.
Worked example
Suppose you borrow 500,000 at an annual rate of 9% for 5 years (60 months).
- Monthly rate:
i = 0.09 / 12 = 0.0075 - Growth factor:
(1.0075)^60 ≈ 1.5657 - EMI:
500,000 × 0.0075 × 1.5657 / 0.5657 ≈ 10,379
The monthly instalment is about 10,379. Over 60 payments you repay roughly 10,379 × 60 = 622,740 in total, of which about 122,740 is interest.
When to use this calculator
- Before applying for a loan, to check whether the monthly payment fits your budget at the rates lenders are quoting.
- Comparing offers with different rates or terms, since a slightly lower rate or shorter term can change total interest substantially.
- Choosing a term length, to see the trade-off between a lower EMI over a longer term and less total interest over a shorter one.
- Planning prepayments, by recalculating the EMI or remaining term after a lump-sum payment reduces the principal.
Tips for interpreting the result
- A longer term lowers the EMI but raises total interest; run both scenarios before deciding.
- Compare loans on total interest and the annual percentage rate, not the EMI alone, because fees and charges are not part of this formula.
- Many lenders suggest keeping all debt payments combined below roughly a third of monthly income; treat any such threshold as a guideline, not a rule.
- If your loan has a floating rate, the EMI or the term will change when the rate resets, so recompute after each revision.
- Check whether interest compounds monthly; some products quote flat rates that are not directly comparable to reducing-balance EMIs.
Related calculators
Use the amortization calculator to see the month-by-month split between principal and interest, and the budget calculator to check that the EMI fits your monthly cash flow. The business loan calculator applies similar mechanics to commercial borrowing, the income tax calculator helps estimate the take-home pay available for repayments, and the currency converter is useful when comparing loans quoted in different currencies.
Results are estimates based on the numbers you enter; confirm exact instalments, fees, and rates with your lender before committing to a loan.