EMI Calculator — Home & Personal Loan EMI + Prepayment Lab
Enter your loan amount, interest rate and tenure for an instant EMI, total interest and total payable — then use the prepayment lab to see exactly how much an extra monthly payment saves. 100% private — everything is computed in your browser.
Your loan
Your EMI breakdown
Year-by-year repayment schedule
Prepayment labLIVE
With your extra ₹0/month on top of the EMI:
Without prepayment
- Loan cleared in
- –
- Total interest
- –
With prepayment
- Loan cleared in
- –
- Total interest
- –
- Interest saved
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- Time saved
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How EMI actually works
An EMI (equated monthly instalment) is the fixed amount you pay every month so that your loan — principal plus all interest — is exactly cleared by the end of the tenure. The lender computes it with one formula:
Here P is the loan amount, i is the monthly interest rate (annual rate ÷ 12 ÷ 100), and n is the number of monthly payments. The formula is derived so that the present value of all n payments equals P — every EMI is identical, but what happens inside each EMI changes every month.
Interest is charged on the reducing balance: each month's interest = outstanding principal × monthly rate. Because the EMI is fixed and interest is highest when the balance is highest, the early years are interest-heavy — in the first year of a long home loan, well over half of each EMI can be pure interest, with only a sliver reducing the principal. As the balance shrinks, the interest slice shrinks and the principal slice grows, crossing over somewhere mid-tenure.
That crossover is exactly why prepayment is so powerful. An extra payment goes entirely toward the principal (after that month's interest is covered). A smaller principal means less interest next month, which means more of the next EMI hits principal too — a compounding snowball in your favour. Extra payments made early in the tenure save far more than the same amount paid later, because they kill the balance while it is still large and interest-heavy. The prepayment lab above simulates this month by month, so the savings you see are exact for your inputs.
Worked examples
Example 1 — ₹50,00,000 home loan @ 8.5% p.a. for 20 years
Monthly rate i = 8.5 ÷ 12 ÷ 100 = 0.0070833; n = 240 payments.
EMI = 50,00,000 × 0.0070833 × (1.0070833)240 ÷ ((1.0070833)240 − 1) = ₹43,391 per month.
| Figure | Amount |
|---|---|
| Monthly EMI | ₹43,391 |
| Total payable (₹43,391 × 240) | ₹1,04,13,879 |
| Total interest (payable − principal) | ₹54,13,879 |
Notice: the interest (₹54.14 lakh) exceeds the loan itself — that is the cost of borrowing ₹50 lakh for 20 years at 8.5%.
Example 2 — same loan, plus ₹5,000/month extra prepayment
EMI stays ₹43,391, but ₹48,391 leaves your account each month, with the extra ₹5,000 attacking principal directly. Simulated month by month:
| Figure | Amount |
|---|---|
| Loan cleared in | 187 months (15 years 7 months) |
| Time saved | 53 months — 4 years 5 months |
| Total interest with prepayment | ₹40,24,629 |
| Interest saved | ₹13,89,250 (≈ ₹13.89 lakh) |
₹5,000/month extra costs about ₹9.35 lakh in additional payments over the shortened tenure — and wipes out ₹13.89 lakh of interest. That is the prepayment snowball at work.