Equated Monthly Installment (EMI) is the lifeblood of modern personal finance. Whether you are taking out a home loan, an auto loan, or a personal loan, the bank uses a specific mathematical algorithm to determine your flat monthly payment.
The Standard EMI Formula
Banks use the reducing balance method. The formula evaluates the time value of money, ensuring the bank gets a fixed yield while your principal balance decreases over time.
EMI = P × r × (1+r)n / [ (1+r)n - ₹ ]
Let's break down these variables:
- P = Principal Amount (the total sum you borrowed)
- r = Monthly Interest Rate (Annual Rate ÷ ₹ ÷ ₹)
- n = Tenure in Months (Years × ₹)
Step-by-Step Example
Suppose you are taking a Home Loan of ₹50,00,000 at ₹.5% p.a. for ₹ years.
- Calculate the monthly rate (r): ₹.5 ÷ ₹ ÷ ₹ = ₹.007083
- Calculate total months (n): ₹ × ₹ = ₹
- Plug into the formula: ₹ × ₹.007083 × (1.007083)^240 / [ (1.007083)^240 - ₹ ]
- The result equates to exactly ₹43,391 per month.
Alternatively, you can instantly run these calculations and view a complete visual amortization table using our Free EMI Calculator tool.