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Understand how banks calculate your equated monthly installment (EMI). Learn the reducing balance formula, interest vs principal split, and how tenure impacts total interest.
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When taking out a home loan, car loan, or personal loan, the single number most borrowers focus on is the Equated Monthly Installment (EMI). This is the fixed payment amount made by a borrower to a lender at a specified date each calendar month.
However, behind that single fixed monthly payment lies a dynamic mathematical schedule known as loan amortization.
Almost all consumer bank loans use the reducing balance method. Under this system, each monthly payment covers both interest on the outstanding principal balance and a portion of the principal itself.
The universal formula used by financial institutions is:
EMI = (P × r × (1 + r)^n) ÷ ((1 + r)^n - 1)
Where:
r = Annual Rate ÷ (12 × 100)).12 × Number of Years).Let us calculate the EMI for a standard loan:
r = 12 ÷ (12 × 100) = 0.01 per month)(1 + 0.01)^24 ≈ 1.26973
Numerator = 100,000 × 0.01 × 1.26973 = 1,269.73
Denominator = 1.26973 - 1 = 0.26973
EMI = 1,269.73 ÷ 0.26973 ≈ $4,707.35
Over 24 months, you will pay a total of $4,707.35 × 24 = $112,976.40, which includes $12,976.40 in total interest.
Even though your EMI payment remains identical every single month, the internal proportion shifts constantly:
To see how varying interest rates and repayment tenures impact your monthly cash flow, test your numbers on our free EMI Calculator. It includes an instant amortization split and total interest estimates.