An Equated Monthly Installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. EMIs are applied to both interest and principal each month so that over a specified number of years, the loan is fully paid off.
Our online EMI Calculator helps you estimate monthly outlays for home loans, car loans, personal loans, or education loans.
The EMI Calculation Formula
The math behind loan EMIs relies on reducing balance compounding:
$$EMI = P \times r \times \frac{(1 + r)^n}{(1 + r)^n - 1}$$
Where:
- $EMI$ = Equated Monthly Installment
- $P$ = Principal Loan Amount
- $r$ = Monthly interest rate (annual interest rate divided by 12, then divided by 100, e.g., 8.5% p.a. = $8.5 / 12 / 100 = 0.007083$)
- $n$ = Loan tenure in months (number of years multiplied by 12)
Example Calculation
Suppose you take a home loan of ₹50,00,000 at an annual interest rate of 8.5% for a tenure of 20 years (240 months).
- Principal ($P$) = ₹50,00,000
- Monthly Interest Rate ($r$) = $8.5 / 12 / 100 = 0.007083$
- Tenure in months ($n$) = 240
Plugging this into the formula:
$$EMI = 5,000,000 \times 0.007083 \times \frac{(1.007083)^{240}}{(1.007083)^{240} - 1} \approx ₹43,391$$
Over 20 years, your total payable amount will be ₹1,04,13,879, consisting of ₹50,00,000 principal repayment and ₹54,13,879 in interest charges.
What is an Amortization Schedule?
An amortization schedule is a table detailing each periodic payment on an amortizing loan. For each payment, it shows:
- Interest Paid: Calculated on the outstanding loan balance at the beginning of the month.
- Principal Paid: The rest of your EMI amount that goes directly toward reducing the loan balance.
- Outstanding Balance: The remaining amount you owe after deducting the principal portion of the EMI.
In the early years of a long-term loan (like a 20 or 30-year mortgage), the majority of your monthly EMI goes toward paying off the interest. Over time, the outstanding balance decreases, which in turn reduces the monthly interest charge, allowing a larger portion of your EMI to pay down the principal.
Tips to Reduce Your Total Loan Interest
- Make Prepayments: Even small lump-sum prepayments early in your loan tenure can drastically reduce your interest burden and shorten your tenure by years.
- Choose a Shorter Tenure: If your budget permits, opting for a 15-year tenure instead of a 20 or 30-year tenure will result in slightly higher EMIs but massive interest savings.
- Negotiate/Refinance: If interest rates drop or your credit score improves, look into refinancing your loan with another lender offering lower interest rates.