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How to Calculate EMI: Formula, Worked Example & Free Calculator

Your EMI โ€” Equated Monthly Instalment โ€” is the fixed amount you pay a bank every month until a loan is fully repaid. Whether it is a home loan, a car loan or a personal loan, almost every lender in India uses the same reducing-balance method to work it out. Once you understand how it is calculated, you can compare offers confidently, see through a "low EMI" that hides a high total cost, and decide whether prepaying is worth it. This guide walks through the formula, a full worked example, and the three levers that change what you actually pay.

What an EMI is really made of

Every EMI has two parts: interest on the outstanding balance and a chunk of principal repayment. In the early months, most of your EMI is interest because the balance is large. As the balance shrinks, the interest portion falls and more of each payment goes towards principal. The monthly amount stays constant, but its composition shifts steadily over the life of the loan. This is why prepaying early has such an outsized effect โ€” you are attacking the balance while it is still generating the most interest.

The EMI formula

The standard reducing-balance formula is:

EMI = P ร— r ร— (1 + r)โฟ รท ((1 + r)โฟ โˆ’ 1)

  • P = principal (the amount you borrow)
  • r = monthly interest rate = annual rate รท 12 รท 100
  • n = number of monthly instalments (loan years ร— 12)

The formula looks intimidating, but each piece is simple. The key thing to remember is that the interest rate must be converted from a yearly percentage into a monthly decimal. A quoted 8.5% per year becomes 8.5 รท 12 รท 100 = 0.00708 per month.

A full worked example

Suppose you borrow โ‚น25,00,000 at 8.5% per year for 20 years. First convert the inputs: r = 8.5 รท 12 รท 100 = 0.00708, and n = 20 ร— 12 = 240 months. Plugging these into the formula gives an EMI of about โ‚น21,696 per month.

Now look at the totals. Over 240 months you pay 240 ร— โ‚น21,696 โ‰ˆ โ‚น52,07,000. Since you only borrowed โ‚น25 lakh, the difference โ€” roughly โ‚น27 lakh โ€” is pure interest. In other words, on a 20-year home loan at this rate you pay back more than double what you borrowed. Seeing that number written out is often what convinces people to shorten the tenure or prepay.

You do not need to do any of this by hand. The Loan EMI Calculator shows your EMI, the total interest, a principal-versus-interest donut chart, and a full year-by-year breakdown that updates live as you drag the sliders.

Lever 1: the interest rate

Even a small change in rate moves the total by a surprising amount over a long tenure. On the โ‚น25 lakh, 20-year example, dropping the rate from 8.5% to 8.0% cuts the EMI to about โ‚น20,910 and saves roughly โ‚น1.9 lakh in total interest. This is why it is worth negotiating your rate, keeping a healthy credit score, and periodically checking whether a balance transfer to a cheaper lender makes sense. Always compare loans on the effective reducing-balance rate, never a "flat" rate, which sounds lower but costs far more.

Lever 2: the tenure

Lengthening the tenure lowers the monthly EMI, which feels attractive when you are stretching to afford a home. But you then pay interest on the outstanding balance for more years, so the total interest rises sharply. Extending our example from 20 to 25 years drops the EMI to about โ‚น20,143 โ€” a saving of roughly โ‚น1,550 a month โ€” but increases the total interest by several lakh. The rule of thumb: pick the shortest tenure whose EMI you can comfortably afford, and always compare the total interest, not just the monthly figure.

Lever 3: prepayment

This is the most powerful lever of all, and the one most borrowers underuse. Any amount you pay beyond the scheduled EMI goes straight to the principal, wiping out all the future interest that principal would otherwise have generated. On the โ‚น25 lakh example, paying just โ‚น5,000 extra every month can save around โ‚น10 lakh in interest and clear the loan roughly 7 years early. A one-time lump-sum prepayment โ€” from a bonus, say โ€” has a similar effect. Most floating-rate home loans in India carry no prepayment penalty, so this is usually free money saved. The EMI calculator has a prepayment section that shows your exact interest saved and how much sooner the loan clears.

What the EMI does not include

The formula gives you the pure repayment of principal and interest. It does not include processing fees (often 0.5โ€“1% of the loan), documentation and legal charges, property insurance, or GST on fees. When comparing two lenders, add these one-off costs on top of the EMI to see the real difference โ€” a lender with a slightly lower rate but a high processing fee may not actually be cheaper.

How much can you even borrow?

Before you fix on a loan amount, it is worth checking what a bank will actually lend you. Lenders cap your total EMIs at a percentage of your income (the FOIR, usually 50โ€“55%) and fund only 75โ€“90% of a property's value. The Home Loan Eligibility Calculator estimates your maximum loan from your income, existing EMIs, rate and tenure. And if you are also carrying costly credit-card debt at 36โ€“48% a year, clear that first โ€” the Credit Card Payoff Calculator shows how quickly a fixed monthly payment can wipe it out.

Key takeaways

  • EMI = P ร— r ร— (1+r)โฟ รท ((1+r)โฟ โˆ’ 1), with r as the monthly rate and n the number of months.
  • On a long loan, total interest can exceed the amount you borrowed โ€” always look at the total, not just the EMI.
  • A shorter tenure and a lower rate both cut the total interest; a longer tenure lowers the EMI but costs far more.
  • Prepayment is the biggest saver โ€” even a small extra monthly amount can shave years and lakhs off the loan.