Calculators guide

How EMIs Are Calculated — In Plain English

The math behind equated monthly installments, what affects the number, and why prepayment saves more than you think.

3 min read Updated 2026-06-23 All Calculators
Written by Priya Sharma, lead editor, toolstop. Reviewed by Arjun Mehta.

Every loan EMI comes from the same formula — but the way principal and interest split inside each payment is what makes early prepayment so powerful.

The EMI formula

EMI = P × r × (1+r)^n / ((1+r)^n − 1), where P is principal, r is the monthly interest rate, and n is the number of months. The output is constant across the loan term.

Why early payments are mostly interest

In the first months, interest is calculated on a near-full balance, so most of each EMI goes to interest. The principal share grows as the balance falls.

Prepayment math

A one-time prepayment reduces the principal, which compounds savings over every remaining month. Even a small extra payment in year one saves more interest than the same payment in year five.

Frequently asked questions

It reduces the monthly amount but increases total interest paid. A 20-year loan costs roughly twice as much interest as a 10-year loan of the same principal.
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