Loan / EMI Calculator

An EMI (Equated Monthly Installment) calculator computes the fixed monthly payment required to fully repay a loan over its tenure at a given interest rate. The core formula comes from the mathematics of annuities: EMI = P x r x (1 + r)^n / ((1 + r)^n - 1), where P is the principal (loan amount), r is the monthly interest rate (annual rate / 12 / 100), and n is the total number of monthly payments. For example, a $100,000 loan at 5% annual interest over 30 years (360 months) gives r = 0.004167 and EMI = $536.82.

The total amount paid over the loan's lifetime is simply EMI x n, and the total interest is the total amount minus the principal. For the example above: total = $536.82 x 360 = $193,256, and total interest = $93,256. This means the borrower pays nearly as much in interest as the original loan amount -- a fact that surprises many first-time borrowers. The interest-to-principal ratio depends heavily on the interest rate and tenure: longer loans and higher rates dramatically increase total interest paid.

The amortization schedule breaks down each monthly payment into its principal and interest components. In the early months of a loan, the majority of each payment goes toward interest because the outstanding balance is large. As the balance decreases, the interest portion shrinks and the principal portion grows. For a 30-year mortgage, it typically takes about 20 years before the principal portion exceeds the interest portion in each payment. This "front-loading" of interest is why making extra principal payments early in the loan term has such a dramatic effect on reducing total interest.

Step-by-step instructions:

1. Enter the loan amount (principal) in the first field. Use the slider for quick adjustments between $1,000 and $1,000,000.
2. Set the annual interest rate using the input field or slider (0% to 30%).
3. Enter the loan tenure and choose whether it is in years or months using the dropdown.
4. Results appear instantly: monthly EMI, total amount payable, and total interest are shown in the three summary cards.
5. The pie chart visualizes the proportion of principal versus interest in the total amount, making it easy to see how much of your money goes to interest.
6. Click the "Amortization Schedule" section to expand the full month-by-month breakdown showing payment, principal, interest, and remaining balance for every month.

Try adjusting the rate or tenure to see how even small changes dramatically affect total interest. For example, reducing a 30-year mortgage to 15 years roughly triples the monthly payment but cuts total interest by more than half.

• Mortgage planning: Determine your monthly payment for a home loan and compare different down payment amounts, interest rates, and loan terms (15 vs. 30 years).
• Auto loan comparison: Compare financing offers from different dealerships or banks by entering each loan's terms to see which results in the lowest total cost.
• Student loan repayment: Plan your repayment strategy by visualizing how different repayment periods affect monthly payments and total interest.
• Refinancing analysis: Compare your current loan terms with a potential refinance offer to calculate the break-even point and total savings.
• Extra payment impact: Use the amortization schedule to understand how extra principal payments in the early years can dramatically reduce total interest and shorten the loan term.
• Business loan evaluation: Small business owners can assess the affordability of equipment loans or lines of credit by examining the monthly EMI relative to expected cash flow.
• Debt consolidation: Compare the total cost of consolidating multiple loans into a single loan at a different rate and tenure versus continuing to pay them separately.