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20 March 2024

EMI Formula Explained — How Banks Calculate Your Loan EMI

Every bank uses the same formula to calculate your EMI. Understanding it helps you negotiate better.

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 = Total number of monthly instalments = Years × 12

Step-by-Step Example

Loan: ₹50,00,000 at 8.5% p.a. for 20 years

Step 1: Monthly rate r = 8.5 / 12 / 100 = 0.007083

Step 2: Total months n = 20 × 12 = 240

Step 3: (1+r)^n = (1.007083)^240 = 5.3067

Step 4: EMI = 50,00,000 × 0.007083 × 5.3067 / (5.3067 − 1) EMI = 50,00,000 × 0.037587 / 4.3067 EMI = ₹43,391

What Makes EMI Higher or Lower?

FactorEffect on EMI
Higher principalHigher EMI
Higher interest rateHigher EMI
Longer tenureLower EMI (but more total interest)
More frequent compoundingSlightly higher effective cost

Total Interest Calculation

For the above example:

  • Total Payable = ₹43,391 × 240 = ₹1,04,13,840
  • Total Interest = ₹1,04,13,840 − ₹50,00,000 = ₹54,13,840

You pay more in interest than the original loan amount! This is why prepayments make such a big difference.


Skip the math — use our EMI Calculator and get instant results with the full amortization schedule.