Loan EMI Calculator
Equated Monthly Installment from principal, rate, and tenure.
Calculate loan EMI from principal, rate, and tenure. Returns monthly payment, total repayment, total interest, and interest as a percentage of principal.
What this tool does
This calculator computes the Equated Monthly Installment (EMI)—the fixed amount you pay each month to repay a fixed-rate consumer loan. Enter your loan principal, annual interest rate, and repayment tenure in months, and the tool calculates your monthly payment, total amount repaid over the loan period, total interest paid, and interest as a percentage of the original principal. The monthly payment amount is the primary driver of affordability planning; changes to principal or tenure have the most significant effect on this figure. For example, someone taking a personal loan might use this to model how different repayment periods affect their monthly cash flow and total cost. The calculator assumes a fixed interest rate throughout the loan term and does not account for fees, prepayment options, or variable rate structures. Results are for educational illustration of how loan costs break down mathematically.
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Formula Used
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Disclaimer
Results are estimates for educational purposes only. They do not constitute financial advice. Consult a qualified professional before making financial decisions.
What an EMI is
An Equated Monthly Installment is the fixed amount a borrower pays each month on a fixed-rate amortising loan — the same number every month for the entire tenure. Each payment splits between interest (charged on the outstanding balance) and principal (which reduces the balance). Early payments are mostly interest because the balance is large; later payments are mostly principal because the balance has fallen. The math is the standard amortisation formula used by most fixed-rate consumer loans worldwide. The term "EMI" is widely used in South Asian markets and increasingly in others; in markets where the term "monthly mortgage payment" or "fixed monthly loan payment" is more common, the underlying calculation is identical.
How to use it
Enter the loan principal, the annual interest rate, and the tenure in months. The calculator returns the monthly EMI, the total repaid over the full tenure, the total interest paid, and the interest as a percentage of the principal for context. The currency selector at the top of the calculator changes formatting throughout — the math itself is currency-neutral.
Worked example
Picture a 100,000 loan at 9% APR over 60 months (currency follows the selector). The monthly rate is 9% ÷ 12 = 0.75%. Plugging into the EMI formula gives a monthly payment of approximately 2,075.84. Over 60 months that's about 124,550 in total repayment, with the difference of around 24,550 paid as interest — roughly 24.6% of the original principal. Doubling the tenure to 120 months at the same rate drops the monthly EMI to about 1,267 but raises total interest to around 52,011 (about 110% more than the 5-year case), illustrating the trade-off between monthly affordability and lifetime cost.
How the math works
EMI = P × r × (1 + r)n ÷ ((1 + r)n − 1) where P is the principal, r is the monthly interest rate (annual ÷ 12 ÷ 100), and n is the tenure in months. Total repayment = EMI × n. Total interest = total repayment − principal. The formula treats interest as compounding monthly within the loan and assumes equal monthly payments throughout. The formula box below reproduces the expression in standard notation.
Tenure trade-off
Lowering the EMI by extending the tenure trades short-term affordability for total cost. As an orientation, doubling the tenure usually lowers the EMI by less than 50% but more than doubles the total interest paid — the longer the principal stays outstanding, the more interest accrues. Running the calculator at a few tenure points usually clarifies the trade-off more directly than reading any general statement.
Why a lender's actual EMI may differ
This calculator returns the headline math result. Real lender EMIs can differ slightly because lenders sometimes include a small processing fee in the EMI, round to a convenient whole number in the local currency, or use a slightly different daycount convention. These adjustments typically move the actual figure by at most a couple of percentage points; for a precise quote, the lender's offer document is authoritative.
What this calculator doesn't capture
Processing fees, prepayment provisions, late-payment behaviour, variable-rate loans (where the EMI may adjust at reference-rate changes), insurance products bundled into the loan, and tax treatment that varies by country and product type are all outside this calculation. The figures are an estimate of the headline EMI based on the three inputs entered, useful as a baseline before factoring in lender-specific terms.
Loan of $100,000 at 9% APR over 60 mo produces an Equated Monthly Installment of 2,075.84.
Inputs
This example uses typical values for illustration. Adjust the inputs above to match a specific situation and see how the result changes.
Sources & Methodology
Methodology
Standard fixed-rate amortisation formula EMI = P × r × (1+r)^n ÷ ((1+r)^n − 1) where P is the principal, r is the monthly interest rate (annual rate ÷ 12 ÷ 100), and n is the tenure in months. Total repayment = EMI × n. Total interest = total repayment − principal. Interest as % of principal = total interest ÷ principal × 100. The model assumes a constant rate for the full tenure, equal monthly payments, and no fees. Real lender EMIs may differ slightly due to processing fees, rounding to whole-currency-unit values, or daycount conventions that differ from monthly compounding.
Frequently Asked Questions
Why might the lender's actual EMI differ from this calculator?
Does the EMI change during the loan?
How is EMI different from a simple-interest calculation?
Does extending the tenure save money?
What does this calculator not include?
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