Every month you pay your EMI, but do you know how that number is actually calculated? Understanding the math helps you compare loan offers, negotiate better terms, and plan your finances more accurately.
The EMI Formula
EMI = [P × r × (1+r)^n] / [(1+r)^n – 1] Where: • P = Principal loan amount • r = Monthly interest rate (annual rate ÷ 12 ÷ 100) • n = Loan tenure in months
A Real Example
Let's say you borrow ₹5,00,000 at 9.75% p.a. for 36 months. • r = 9.75 / 12 / 100 = 0.008125 • n = 36 • EMI = [5,00,000 × 0.008125 × (1.008125)^36] / [(1.008125)^36 – 1] • EMI ≈ ₹15,945 per month
Why Early EMIs Are Mostly Interest
In the first EMI, the interest component is very high (because the outstanding principal is large) and the principal repayment is small. As you pay more EMIs, the balance reduces, so each EMI carries less interest and more principal. This is called amortization.
How to Pay Less Interest
Three strategies work: (1) Pay a larger down payment to reduce the principal. (2) Choose a shorter tenure. (3) Make partial prepayments when you have surplus funds. Even one extra EMI per year can reduce your total tenure significantly.
Use Our EMI Calculator
Instead of doing this math every time, use the OwnPaisa EMI calculator to instantly compare loan amounts, tenures, and interest rates. It also shows you the full amortization schedule so you know exactly where your money goes.
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