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
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(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?
| Factor | Effect on EMI |
|---|---|
| Higher principal | Higher EMI |
| Higher interest rate | Higher EMI |
| Longer tenure | Lower EMI (but more total interest) |
| More frequent compounding | Slightly 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.