EMI Calculator
Calculate your equated monthly instalment (EMI) with interactive principal vs interest breakdown and repayment schedule.
How is Loan EMI Calculated?
An Equated Monthly Instalment (EMI) is computed using the standard reducing balance equation: EMI = [P × r × (1 + r)^n] / [(1 + r)^n − 1], where P is Principal loan amount, r is monthly interest rate (annual rate ÷ 12 ÷ 100), and n is tenure in months. In the initial years, the majority of your EMI pays accrued interest, shifting toward principal repayment in the later half.
- P (Principal Loan Amount): The original loan amount sanctioned by the bank.
- r (Monthly Interest Rate): Annual percentage rate divided by 12 and then by 100.
- n (Tenure in Months): Total repayment period (e.g. 20 years = 240 months).
Loan Parameters
Instalment payable every month for 20 years
Loan Repayment Summary
- Formula: EMI = [P × r × (1+r)^n] / [(1+r)^n - 1] on a monthly reducing balance
- 8.75% is an illustrative benchmark rate; actual commercial loan rates vary by lender, tenure, and CIBIL score
- Assumes a constant interest rate throughout the selected repayment period
- Distinguishes mathematical EMI calculation from bank credit approval and underwriting criteria
- Excludes one-time processing charges, mortgage registration, and loan insurance
Loan EMI & Banking Regulatory Fact Triples
Mathematical reducing balance laws, RBI loan-to-value ceilings, and foreclosure protections.
- Reducing Balance Amortization Formula
- Monthly installment is derived via E = P × r × (1 + r)^n / ((1 + r)^n - 1), where each installment pays current accrued monthly interest on outstanding principal, with the remainder reducing the loan balance.
- RBI Loan-to-Value (LTV) Regulatory Ceilings
- Individual housing loan LTV ratios are legally capped by RBI at: up to 90% for loans ≤ ₹30 Lakhs; up to 80% for loans ₹30 Lakhs to ₹75 Lakhs; and up to 75% for loans exceeding ₹75 Lakhs.
- Zero Foreclosure & Prepayment Penalty Mandate
- Scheduled commercial banks and NBFCs are prohibited from levying foreclosure charges or prepayment penalties on any floating-rate term loans sanctioned to individual borrowers.
Frequently Asked Questions
What is EMI and how does it work?
EMI (Equated Monthly Installment) is a fixed payment amount made by a borrower to a lender at a specified date each month. EMI consists of both principal and interest components. Initially, the interest portion is higher, but gradually the principal portion increases as you progress through the loan tenure.
How is EMI calculated?
EMI is calculated using the formula: EMI = [P × R × (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 loan tenure in months. This formula ensures equal monthly payments throughout the loan period.
What is the difference between reducing and flat interest rate?
In reducing balance method (most common), interest is calculated on the outstanding principal, which decreases with each EMI payment. In flat rate method, interest is calculated on the original principal throughout the loan tenure, resulting in higher effective interest rates.
Can I prepay my loan to reduce EMI?
Yes, prepayment reduces your outstanding principal. You can either reduce your EMI amount while keeping the tenure same, or reduce the tenure while keeping EMI same. Most banks offer prepayment without penalty after a minimum period (usually 6-12 months).
What factors affect my EMI amount?
Three main factors affect EMI: (1) Principal amount - higher loan amount increases EMI, (2) Interest rate - higher rates increase EMI, (3) Tenure - longer tenure reduces EMI but increases total interest paid. Your credit score also affects the interest rate offered.
Is it better to have lower EMI or shorter tenure?
Lower EMI (longer tenure) provides cash flow flexibility but results in higher total interest paid. Shorter tenure (higher EMI) reduces total interest cost significantly. Choose based on your financial capacity and long-term planning.
How to Use This Calculator
- 1
Enter the total loan amount you plan to borrow. Use the slider or type directly in the input field.
- 2
Set the annual interest rate offered by your lender. Current home loan rates in India range from 8-10% p.a.
- 3
Choose the loan tenure in months. Common tenures are 120 months (10 years), 180 months (15 years), or 240 months (20 years).
- 4
View your monthly EMI, total interest payable, and the principal-interest split in the visual chart.
Key Terms & Definitions
- EMI (Equated Monthly Installment)
- A fixed monthly payment comprising both principal and interest, paid to the lender until the loan is fully repaid.
- Principal Amount
- The original loan amount borrowed from the lender, excluding interest and other charges.
- Interest Rate
- The percentage charged by the lender on the outstanding loan amount, usually expressed as annual percentage rate (APR).
- Loan Tenure
- The time period over which the loan must be repaid, typically expressed in months or years.
- Total Interest
- The cumulative interest paid over the entire loan tenure, calculated as (EMI × Tenure) - Principal Amount.
- Reducing Balance
- A method where interest is calculated only on the outstanding principal amount, which reduces with each EMI payment.
Formulas & Calculations
EMI Calculation Formula
P = Principal loan amount, R = Monthly interest rate (Annual Rate / 12 / 100), N = Tenure in months. Example: For ₹10,00,000 at 9% for 120 months, R = 9/12/100 = 0.0075, EMI = ₹12,668.
Total Interest Calculation
This gives your absolute profit. If FV is ₹11.6L and you invested ₹5,000 × 120 months = ₹6L, your returns are ₹5.6L (93% gain).
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