Understanding the EMI Calculations
What is an EMI?
EMI stands for Equated Monthly Installment. It is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are used to pay off both interest and principal each month so that over a specified number of years, the loan is paid off in full.
How is EMI Calculated?
The mathematical formula for calculating EMI is: E = P x r x (1 + r)^n / ((1 + r)^n - 1). Here, P represents the principal loan amount, r is the monthly interest rate (annual rate divided by 12 and then by 100), and n is the total number of monthly installments.
Example Scenario
Suppose you take a car loan of ₹5,00,000 at an annual interest rate of 9% for a tenure of 3 years (36 months). Using the formula, your monthly EMI would come out to ₹15,899. Over the 3 years, you would pay a total of ₹72,395 in interest.