Finance & Economics · Real Estate & Mortgages
Loan EMI Calculator
Calculate your Equated Monthly Installment (EMI) for any loan using principal, interest rate, and tenure.
Calculator
Formula
P is the principal loan amount, r is the monthly interest rate (annual rate divided by 12 and converted to decimal), and n is the total number of monthly installments (loan tenure in years multiplied by 12).
Source: Reserve Bank of India — Fair Practices Code for Lenders; standard amortization formula per ISO 31-11 financial mathematics conventions.
How it works
An Equated Monthly Installment (EMI) is a fixed payment made by a borrower to a lender on a specified date each calendar month. Every EMI payment covers both the interest accrued on the outstanding principal and a portion of the principal itself. In the early months of the loan, the interest component dominates; as you progress through the tenure, an increasing share of each payment chips away at the principal. This structure is called a reducing-balance or declining-balance amortization schedule.
The standard EMI formula is derived from the present-value annuity equation in financial mathematics. Given a principal P, a monthly interest rate r (annual rate ÷ 12 ÷ 100), and a total number of installments n (tenure in years × 12), the formula ensures that the discounted present value of all future EMI payments exactly equals the loan principal disbursed today. This guarantees the loan is fully paid off — principal and all accrued interest — at the end of the last installment, with no residual balance.
Understanding your EMI upfront is critical for budgeting. Financial advisors generally recommend that total monthly debt obligations (including your EMI) should not exceed 40–50% of your net monthly income, often called the Fixed Obligation to Income Ratio (FOIR). Use this calculator not just to find your EMI, but also to experiment with different tenures and rates: a longer tenure reduces your monthly burden but dramatically increases total interest paid, while a shorter tenure costs more each month but saves significant money over time.
Worked example
Suppose you take a home loan of ₹50,00,000 at an annual interest rate of 8.5% for a tenure of 20 years.
Step 1 — Convert the annual rate to a monthly rate:
r = 8.5 ÷ 12 ÷ 100 = 0.007083 per month
Step 2 — Calculate the total number of installments:
n = 20 × 12 = 240 months
Step 3 — Compute (1 + r)ⁿ:
(1 + 0.007083)²⁴⁰ ≈ 5.3133
Step 4 — Apply the EMI formula:
EMI = (50,00,000 × 0.007083 × 5.3133) ÷ (5.3133 − 1)
EMI = (50,00,000 × 0.037641) ÷ 4.3133
EMI = 1,88,205 ÷ 4.3133 ≈ ₹43,632 per month
Step 5 — Calculate total outflow and interest cost:
Total Payment = 43,632 × 240 = ₹1,04,71,680
Total Interest = 1,04,71,680 − 50,00,000 = ₹54,71,680
This means you effectively pay more than double the borrowed amount over 20 years — a powerful illustration of why a shorter tenure or lower rate can save lakhs of rupees in interest.
Limitations & notes
This calculator assumes a fixed interest rate throughout the entire loan tenure, which is ideal for fixed-rate loans but may not reflect reality for floating-rate (variable-rate) loans where the rate is periodically reset based on a benchmark such as the RBI repo rate or LIBOR. It also does not account for processing fees, prepayment charges, GST on interest, or any moratorium periods that some lenders offer. In practice, banks may use slightly different day-count conventions or compounding frequencies (e.g., daily compounding), which can cause minor deviations from this standard monthly-compounding calculation. For an authoritative repayment schedule, always request the official amortization table from your lender before signing the loan agreement.
Frequently asked questions
What does EMI stand for and how is it different from a regular loan payment?
EMI stands for Equated Monthly Installment. Unlike a simple interest payment where you pay only interest each month and repay the principal at the end, an EMI combines both interest and principal repayment into one fixed monthly amount. This makes budgeting predictable because your outflow remains constant throughout the loan tenure, even though the interest-to-principal ratio within each payment shifts over time.
Why does a longer loan tenure result in higher total interest paid?
With a longer tenure, your outstanding principal remains higher for a longer period, meaning the bank charges interest on a larger balance for more months. Even though your monthly EMI is lower with a longer tenure, the cumulative interest cost grows substantially. For example, a ₹30 lakh loan at 9% over 10 years might cost ₹15.7 lakh in interest, while the same loan over 20 years could cost ₹34.2 lakh — more than double the interest for twice the tenure.
How does a part-prepayment affect my EMI?
Making a lump-sum prepayment directly reduces your outstanding principal, which in turn reduces the interest charged in subsequent months. Most lenders give you two options after a prepayment: either keep the EMI the same and reduce the remaining tenure (saving more interest), or reduce the EMI while keeping the tenure unchanged. Reducing the tenure is almost always the more financially advantageous choice, as it minimizes total interest paid.
What is the difference between a fixed-rate and floating-rate loan EMI?
A fixed-rate loan has an interest rate that stays constant for the entire tenure, so your EMI never changes — making this calculator perfectly accurate for it. A floating-rate loan has an interest rate linked to an external benchmark (like the RBI repo rate), meaning your EMI or tenure can change whenever the rate is revised. In a rising rate environment, floating-rate borrowers often see their EMI or tenure increase, while a falling rate environment benefits them with lower payments.
Can I use this calculator for car loans and personal loans as well?
Yes, the EMI formula is identical for all standard amortizing loans regardless of the loan type — whether it is a home loan, car loan, personal loan, or education loan. Simply input the sanctioned loan amount as the principal, the applicable annual interest rate from your lender's term sheet, and the repayment tenure in years. Note that personal loans typically carry significantly higher interest rates (12–24% p.a.) compared to home loans (8–10% p.a.), which will be reflected in a much higher EMI for the same principal and tenure.
Last updated: 2025-01-15 · Formula verified against primary sources.