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Best Way to Calculate Bank Loan EMI: Reducing Balance vs Flat Rate

By Pradipta Ray · Published

How do commercial banks actually compute your monthly EMI? While lenders often quote headline rates or flat rates, every retail loan in India amortizes on a reducing balance basis. Here is the exact mathematical mechanism.

When you take out a loan from an Indian commercial bank, your monthly instalment is calculated using compound interest amortization. Because interest is charged only on the unpaid principal balance at the end of each month, your payment structure changes continuously beneath the hood.

Direct Answer: Indian banks calculate EMI using the annuity formula: EMI = [P × r × (1 + r)^n] / [(1 + r)^n - 1]. On a ₹10,00,000 loan at 9.00% p.a. for 5 years (60 months), the monthly EMI is ₹20,758, resulting in total interest of ₹2,45,501.

Step-by-Step Mathematical Walkthrough (₹10 Lakh at 9% for 5 Years)

Step-by-step breakdown of variables in the bank EMI formula
VariableDescriptionValue in ExampleCalculation
P (Principal)Sanctioned loan amount₹10,00,000Base borrowed sum
r (Monthly Rate)Annual rate divided by 12 months and 1000.00759.00 ÷ 1200 = 0.0075
n (Tenure)Total number of monthly instalments60 months5 years × 12 months
(1 + r)^nCompounding factor1.56568(1.0075)^60
Calculated EMIP × r × [(1 + r)^n] ÷ [(1 + r)^n - 1]₹20,758 per month[10,00,000 × 0.0075 × 1.56568] ÷ 0.56568
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The Flat Rate Trap: Why Dealers Quote Flat Rates

Automobile dealers and consumer durable NBFCs frequently quote '5.5% flat interest' to make loans appear cheap. In a flat loan, interest is computed on the entire original ₹10 Lakh principal for all 5 years, costing ₹2,75,000 in interest. In a reducing loan at 5.5%, interest would only be ₹1,46,000! A 5.5% flat loan is actually equal to a 10.1% reducing balance loan.

Key Checkpoints for Every Borrower

  • Demand the Key Fact Statement (KFS) mandated by RBI, which explicitly discloses the Annual Percentage Rate (APR) including all fees.

  • Check amortization schedule: Ensure the majority of your payment starts shifting from interest to principal by the midpoint of the loan.

  • Always verify whether the benchmark is linked to RBI Repo Rate (EBLR/RLLR) for floating loans.

Frequently asked questions

What formula do Indian banks use to calculate loan EMI?
Banks use the standard reducing balance annuity formula: EMI = [P × r × (1 + r)^n] / [(1 + r)^n - 1], where P is principal, r is monthly interest rate (annual rate ÷ 1200), and n is tenure in months.
Why is a flat interest rate misleading?
A flat rate charges interest on the entire original principal for the full tenure, ignoring that you pay back principal every month. A 7% flat rate actually equals a 12.8% to 13.5% reducing balance interest rate!
Why does my bank's sanctioned EMI differ by a few rupees from online calculators?
Small differences of ₹1 to ₹10 arise from broken-period interest (if disbursed mid-month), day-count conventions (365 days vs 360 days), or nearest-rupee rounding across monthly instalments.

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