Skip to content
M2TOOLKIT

Finance guide

How to Calculate Loan EMI (Monthly Payment) — Formula and Examples

The EMI formula in plain English, a worked example, why early payments are mostly interest, and how loan term and prepayments change what you pay.

By M2Toolkit Editorial TeamPublished 7 min read

Quick answer

EMI = P × r × (1 + r)ⁿ ÷ ((1 + r)ⁿ − 1)

P is the loan amount, r the monthly interest rate (annual rate ÷ 12 ÷ 100) and n the number of monthly payments. A $25,000 loan at 8.5% for 5 years has an EMI of $512.91. The Loan & EMI Calculator shows the full schedule.

EMI stands for equated monthly installment — the fixed amount you pay each month on most personal, car and home loans. Knowing how it's calculated helps you compare offers, choose a term, and decide whether prepaying is worth it.

A worked example

Borrow $25,000 at 8.5% a year for 5 years:

  • r = 8.5 ÷ 12 ÷ 100 = 0.0070833
  • n = 5 × 12 = 60
  • (1 + r)ⁿ = 1.0070833⁶⁰ ≈ 1.5273
  • EMI = 25,000 × 0.0070833 × 1.5273 ÷ (1.5273 − 1) ≈ $512.91

Over 60 payments you repay $30,774.80, so the loan costs $5,774.80 in interest.

Try the free Loan & EMI CalculatorMonthly payment, total interest and a year-by-year repayment table.

Why early payments are mostly interest

Each month, interest is charged on the remaining balance, and whatever is left of your EMI reduces that balance. Early on the balance is high, so most of the payment is interest. As the balance falls, more goes to principal.

$25,000 at 8.5% over 5 years
YearPrincipal repaidInterest paidBalance at year end
1$4,190.73$1,964.23$20,809.27
2$4,561.15$1,593.81$16,248.12
3$4,964.31$1,190.65$11,283.81
4$5,403.11$751.85$5,880.70
5$5,880.70$274.26$0.00

Shorter vs longer terms

$25,000 at 8.5%
TermEMITotal interest
3 years$789.19$3,410.78
5 years$512.91$5,774.80
7 years$395.91$8,256.62

A longer term lowers the monthly payment but raises the total cost. The cheapest loan is the shortest one whose payment you can comfortably afford.

Does paying extra help?

Yes — extra payments go straight to principal, so every later month has less interest. On the example loan, paying just $50 extra a month clears it several months early and saves a few hundred dollars. Try it with the “extra payment” field in the calculator.

Frequently asked questions

What's the difference between EMI and APR?

EMI is your monthly payment. APR is the yearly cost of borrowing including most fees, expressed as a rate. Use APR to compare offers.

Is the EMI formula the same for home loans?

Yes. Mortgages use the same formula; your total monthly cost also includes property tax, insurance and fees, which the Mortgage Calculator adds.

What happens if the interest rate changes?

On variable-rate loans the lender recalculates either your EMI or your remaining term. This calculator assumes a fixed rate.

About this guide

The people who build M2Toolkit's tools write these guides. Every formula and example in an article is checked against the matching tool, and articles are reviewed when the tool changes.

Tools mentioned in this guide