Loans · Explained simply

How EMI is calculated, and the three things that change it

The EMI formula in plain words, why your first EMIs are mostly interest, and how the amount, rate and tenure change what you pay - with real numbers.

Level: BeginnerRead: 9 minIncludes: worked examples + calculator
Bhanu PratapSoftware engineer, writes about personal finance · Published 25 October 2026

You take a ₹10 lakh home loan and the bank says the EMI is ₹8,678. A year later the loan statement says you still owe ₹9,80,098 - after paying ₹1,04,139 in EMIs, the loan has come down by less than ₹20,000. Most people's first reaction is that something is wrong. It is not; it is how every EMI works.

This guide explains EMI in four steps: what it is, why it is built that way, worked examples of what changes it, and a short summary to keep.

Step 1 · What is it

What an EMI is

An EMI (Equated Monthly Instalment) is the same fixed amount you pay every month until a loan is repaid. Each EMI has two parts: interest on what you still owe, and principal - the part that actually reduces the loan.

The formula banks use
EMI = P × r × (1 + r)^n ÷ ((1 + r)^n − 1)

P = loan amount
r = yearly interest rate ÷ 12 ÷ 100   (the monthly rate)
n = number of monthly instalments

For ₹10,00,000 at 8.5% for 20 years: r = 8.5 ÷ 12 ÷ 100 = 0.007083, n = 240. Put them in and the EMI comes to ₹8,678.23. You do not need to do this by hand - the calculator below does it as you type - but it helps to know there is no hidden number in it.

Try itEMI CalculatorPut in your own loan amount, rate and tenure and see the EMI, the total interest and a year-by-year schedule of how the loan comes down.Open EMI Calculator →
Step 2 · Why this

Why your first EMIs are mostly interest

Every month, interest is charged on what you still owe. At the start you owe the most, so most of the EMI goes to interest. As the loan shrinks, the interest part shrinks too, and more of the same EMI pays off the loan.

₹10 lakh at 8.5% for 20 yearsInterest paidLoan repaid
Year 1₹84,237₹19,902
Year 20₹4,640₹99,498

Same EMI, very different split. In year 1, over 80% of what you pay is interest; in year 20, under 5% is. That is why prepaying early saves so much more than prepaying late - covered in the prepayment guide below.

Remember: The EMI never changes, but its split does: interest first, principal later.

Step 3 · Example

What the tenure does

The longer the loan, the lower the EMI - but the more interest you pay, because you owe money for longer. ₹10 lakh at 8.5%:

TenureEMITotal interestTotal you pay
10 years₹12,399₹4,87,828₹14,87,828
15 years₹9,847₹7,72,531₹17,72,531
20 years₹8,678₹10,82,776₹20,82,776
25 years₹8,052₹14,15,681₹24,15,681
30 years₹7,689₹17,68,089₹27,68,089

Going from 20 to 30 years lowers the EMI by only ₹989 a month, but adds ₹6,85,313 of interest. Going from 20 to 15 years raises the EMI by ₹1,169, and saves ₹3,10,245.

Step 3 · Example

What the interest rate does

Half a percent sounds small. On a ₹30 lakh, 20-year home loan it is not:

RateEMITotal interest
8.0%₹25,093₹30,22,369
8.5%₹26,035₹32,48,327
9.0%₹26,992₹34,78,027
9.5%₹27,964₹37,11,345
10.0%₹28,951₹39,48,156

Every 0.5% is roughly ₹950 a month and ₹2.3 lakh over the loan. When you compare lenders, compare the rate first; then ask what happens to it when the repo rate moves, because most home loans in India are on a floating rate.

Step 3 · Example

Car and personal loans: short, but dearer

LoanEMITotal interest
Car loan: ₹8 lakh at 9.5% for 5 years₹16,801₹2,08,089
Personal loan: ₹3 lakh at 13% for 3 years₹10,108₹63,895

Short loans pay much less interest in rupees because they end quickly - but their rates are higher, so per rupee borrowed they cost more. A personal loan at 13% is worth clearing before you prepay a home loan at 8.5%.

Banks round each month's interest and EMI to the rupee, and some charge interest from the disbursement date rather than a month start, so your statement can differ from the formula by a rupee or two. Processing fees and loan insurance are extra.

Step 4 · Short summary

The short version

An EMI is a fixed monthly payment made of interest on what you owe plus a part that repays the loan: EMI = P × r × (1 + r)^n ÷ ((1 + r)^n − 1). Early EMIs are mostly interest and late ones mostly principal. A longer tenure lowers the EMI a little but raises the interest a lot; a lower rate saves about ₹950 a month for every 0.5% on a ₹30 lakh loan.

  • Fixed EMIThe amount stays the same; the split changes.
  • Interest firstYear 1 is mostly interest, the last year mostly principal.
  • TenureLonger = lower EMI, much more interest.
  • RateEvery 0.5% matters - compare it first.
  • Short loansHigher rates: clear them before cheaper ones.
  • Check itUse the EMI calculator with your own numbers.
Quick answers

Questions people ask

How is EMI calculated?

EMI = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), where P is the loan, r is the yearly rate ÷ 12 ÷ 100 and n is the number of months. For ₹10 lakh at 8.5% for 20 years it is ₹8,678.

Why has my loan barely come down after a year of EMIs?

Because early EMIs are mostly interest. On ₹10 lakh at 8.5% for 20 years, the first year's EMIs pay ₹84,237 of interest and only ₹19,902 of principal.

Is a longer tenure better?

It lowers the EMI, but you pay much more interest. 30 years instead of 20 on ₹10 lakh at 8.5% saves ₹989 a month and costs ₹6.85 lakh more in interest.

What is the EMI on a ₹30 lakh home loan?

At 8.5% for 20 years, about ₹26,035 a month, with about ₹32.5 lakh of interest over the loan.

Does the EMI change when the repo rate changes?

On a floating-rate loan, the lender usually keeps the EMI and changes the tenure, or changes the EMI, when its rate moves. Ask your lender which it does and whether you can choose.

This article is for education, not financial advice. Rates and terms differ by lender - check your loan agreement or ask your bank before deciding.

Read nextLoan prepayment: should you reduce the EMI or the tenure?Prepaying a loan: should you reduce the EMI or the tenure? The same ₹2 lakh can save ₹2 lakh or ₹6.9 lakh.

Educational only. This article explains how things work. It is not investment, tax, legal or career advice, and it is not a recommendation to buy or sell anything. What suits you depends on your own situation - check with a qualified adviser before acting on money decisions.