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How to Calculate Your Home Loan EMI: A Step-by-Step Guide

ConverterPilot Finance Team May 15, 2026 6 min read

When purchasing a home, a home loan is often the largest financial commitment of your life. Before committing, it is essential to understand your monthly repayment obligations, known as the Equated Monthly Installment (EMI). This guide explains the exact science behind how banks calculate your EMI.

What is an Equated Monthly Installment (EMI)?

An EMI is a fixed payment made by a borrower to a lender at a specified date each calendar month. EMIs consist of both the interest and the principal portion of the loan. In the initial years, a major chunk of your EMI goes toward paying off the interest. Over time, as the outstanding balance reduces, a larger proportion goes toward principal repayment.

The Mathematical EMI Formula

Most banks and financial institutions use the reducing-balance method to calculate EMIs. The mathematical formula is:

EMI = [P x r x (1 + r)^n] / [(1 + r)^n - 1]

Where:

  • P is the Principal loan amount (the total amount borrowed).
  • r is the monthly interest rate (annual rate divided by 12, then divided by 100 to convert to a decimal).
  • n is the loan tenure in number of months (years multiplied by 12).

Step-by-Step Worked Example

Let's calculate the EMI for a home loan with the following parameters:

  • Principal (P): ₹50,000,000 (50 Lakhs)
  • Annual Interest Rate: 8.4%
  • Tenure: 20 Years

Step 1: Convert Annual Values to Monthly

  • Monthly Interest Rate (r) = 8.4% / 12 = 0.7% per month = 0.007
  • Total Months (n) = 20 years * 12 months/year = 240 months

Step 2: Compute (1 + r)^n

  • (1 + 0.007)^240 = (1.007)^240 ≈ 5.3184

Step 3: Plug into the Formula

  • EMI = [5,000,000 * 0.007 * 5.3184] / [5.3184 - 1]
  • EMI = [186,144] / [4.3184]
  • EMI ≈ ₹43,105 per month

Thus, your monthly payment will be approximately ₹43,105 for 240 months.

Tips to Reduce Your Home Loan Interest Outgo

1. Make Prepayments: Whenever you receive a bonus or extra savings, pay off a part of your principal. This reduces the outstanding balance and drastically reduces your tenure.

2. Opt for a Shorter Tenure: While a 30-year tenure has a lower EMI, a 15-year or 20-year tenure saves you lakhs in interest payments.

3. Refinance Your Loan: If interest rates fall, compare and transfer your outstanding loan to a bank offering a lower interest rate.