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EMI Calculator

Your EMI Details

Monthly EMI: ₹ —

Total Principal Paid: ₹ —

Total Interest Paid: ₹ —

Total Payment: ₹ —

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Understanding EMIs

An Equated Monthly Installment (EMI) is a fixed amount of money that a borrower needs to pay to a lender on a specified date each month. EMIs are commonly used for repayment of home loans, car loans, personal loans, and other types of loans. The EMI amount comprises both the principal repayment and the interest charged by the lender. As the loan tenure progresses, the proportion of interest paid in each EMI decreases, while the proportion of the principal repayment increases.

How EMI is Calculated

The calculation of EMI involves three main components: the principal loan amount (P), the annual interest rate (R), and the loan tenure in months (N).

  • Principal Loan Amount (P): This is the initial amount of money borrowed from the lender.
  • Annual Interest Rate (R): This is the yearly interest rate charged by the lender. For EMI calculation, we convert this to a monthly interest rate by dividing it by 12 and then by 100 (to convert percentage to decimal). Monthly Interest Rate (r) = (R/100) / 12.
  • Loan Tenure (N): This is the total period in months for which the loan is taken.

The formula used to calculate EMI is:

EMI = P × r × (1 + r)N / ((1 + r)N – 1)

Where:

  • P = Principal loan amount
  • r = Monthly interest rate
  • N = Loan tenure in months

If the interest rate is zero, the EMI is simply the principal amount divided by the loan tenure.

Components of Your EMI

  • Monthly EMI: The fixed amount you pay each month.
  • Total Principal Paid: The sum of all principal components across all your EMIs, which will equal your original loan amount.
  • Total Interest Paid: The sum of all interest components across all your EMIs. This is the cost of borrowing the money.
  • Total Payment: The total amount you will repay over the life of the loan (Principal + Total Interest).

Understanding your EMI breakdown helps in financial planning and managing your loan effectively.

Example Calculation:

Let's say you take a loan of ₹10,00,000 (Principal) at an annual interest rate of 8% for a tenure of 10 years (120 months).

  • Principal (P) = ₹10,00,000
  • Annual Interest Rate (R) = 8%
  • Loan Tenure (N) = 10 years = 120 months

First, calculate the monthly interest rate (r):

r = (8 / 100) / 12 = 0.08 / 12 ≈ 0.006667

Now, using the EMI formula:

EMI = 10,00,000 × 0.006667 × (1 + 0.006667)120 / ((1 + 0.006667)120 – 1)

EMI ≈ ₹12,133.71

Total Payment = EMI × N = 12,133.71 × 120 ≈ ₹14,56,045.20

Total Interest Paid = Total Payment – Principal = 14,56,045.20 – 10,00,000 = ₹4,56,045.20

So, your monthly EMI would be approximately ₹12,133.71, with a total interest paid of around ₹4,56,045.20 over the 10-year tenure.

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