What is EMI?
Equated Monthly Installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are used to pay off both interest and principal each month so that over a specified number of years, the loan is paid off in full.
How EMI is Calculated?
The mathematical formula for calculating EMI is:
- P = Principal loan amount
- r = Monthly interest rate (Annual rate divided by 12 and then divided by 100)
- n = Number of monthly installments (Loan tenure in months)
Example Calculation
If you borrow ₹10,00,000 at 8.5% annual interest for 20 years:
- P = 10,00,000
- r = 8.5 / 12 / 100 = 0.007083
- n = 20 × 12 = 240 months
Plugging these values into the formula gives an EMI of approximately ₹8,678.
Factors Affecting EMI
- Principal Amount: A higher loan amount results in a higher EMI.
- Interest Rate: A higher interest rate increases the total interest payable and the EMI. Even a 0.5% reduction can save you lakhs of rupees over 20 years.
- Loan Tenure: A longer tenure reduces the monthly EMI but significantly increases the total interest you pay over the life of the loan.
How to Reduce Loan EMI?
- Make a higher down payment initially to reduce the principal amount.
- Negotiate a lower interest rate with your bank, or transfer your balance to a bank offering a lower rate.
- Make partial prepayments (part-payments) whenever you have surplus cash (like a yearly bonus). This directly reduces your principal.
Frequently Asked Questions
Yes, if you have opted for a floating interest rate loan (common with Home Loans), your EMI or loan tenure may change when the bank's base lending rate changes.
Yes, this calculator uses the exact mathematical formula used by Indian banks (SBI, HDFC, ICICI, etc.) to calculate reducing balance loans. However, actual bank calculations might vary by a few rupees due to round-off differences and processing fees.