EMI Calculator

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EMI Formula

EMI = P × r × (1+r)n / ((1+r)n − 1)
  • P = Principal loan amount
  • r = Monthly interest rate (annual rate / 12 / 100)
  • n = Total number of monthly installments

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What is EMI?

Understanding Equated Monthly Installments and how they work

1

Fixed Monthly Payment

EMI stands for Equated Monthly Installment. It is the fixed amount you pay to a lender each month until the loan is fully repaid. Each EMI includes both principal repayment and interest charges, ensuring the loan is cleared by the end of the tenure.

2

Interest vs Principal Split

In the early months, a larger portion of each EMI goes toward interest. As the outstanding balance decreases over time, more of the payment goes toward the principal. This is called amortization and is why reviewing the full schedule matters.

3

Three Key Factors

Your EMI depends on three variables: the loan amount (principal), the interest rate, and the loan tenure. Adjusting any of these changes your monthly payment. A longer tenure reduces EMI but increases total interest paid over the life of the loan.

EMI Calculation Formula

The standard mathematical formula used by banks and financial institutions

EMI = P × r × (1 + r)n ÷ ((1 + r)n − 1)
P

Principal Amount

The original loan amount borrowed from the lender, excluding any interest or fees.

e.g. $250,000
r

Monthly Interest Rate

Annual interest rate divided by 12 and then by 100 to convert the percentage to a decimal.

r = 6.5% ÷ 12 ÷ 100 = 0.00542
n

Number of Installments

Total number of monthly payments over the loan tenure. Multiply years by 12.

n = 30 years × 12 = 360 months

Types of Loans

Common loan categories and their typical interest rates and tenures

Home / Mortgage

Secured by the property. Longest tenure and lowest rates. Interest may be tax-deductible.

5%–7% 15–30 years

Auto / Car

Secured by the vehicle. Shorter term than mortgages. New cars typically get lower rates than used.

5%–9% 3–7 years

Personal

Unsecured loan with no collateral required. Higher rates reflect the increased risk to the lender.

8%–24% 1–5 years

Student / Education

Often subsidized with lower rates. Repayment may be deferred until after graduation.

3%–8% 5–20 years

Business

Used for capital expenditure or working capital. Rates depend on business creditworthiness.

6%–15% 3–10 years

Home Equity

Borrow against your home equity. Rates are lower than personal loans since the home is collateral.

5%–10% 5–30 years

Frequently Asked Questions

Common questions about EMI calculations and loan repayments

EMI (Equated Monthly Installment) is the fixed payment you make each month to repay a loan. It is calculated using the formula: EMI = P × r × (1+r)n / ((1+r)n − 1), where P is the principal, r is the monthly interest rate, and n is the total number of months. This ensures each payment is identical throughout the loan tenure.
Yes, extending the loan tenure reduces your monthly EMI. However, you will pay significantly more total interest over the life of the loan. For example, a $200,000 loan at 6.5%: a 15-year tenure gives ~$1,742/month with ~$113,500 total interest, while a 30-year tenure gives ~$1,264/month but ~$255,000 total interest — more than double.
An amortization schedule is a detailed table showing the breakdown of each monthly payment into principal and interest portions, along with the remaining loan balance after each payment. In early months, most of the EMI goes toward interest. Over time, the interest portion decreases and the principal portion increases.
Yes, most loans allow prepayment or extra payments toward the principal. This reduces the outstanding balance faster, which lowers the total interest paid. Some lenders may charge a prepayment penalty, so check your loan agreement. Even small additional monthly payments can save thousands in interest over the loan term.
Fixed rate loans have the same interest rate throughout the tenure, meaning your EMI never changes. Floating (variable) rate loans have rates that adjust periodically based on market benchmarks. Floating rates may start lower but can increase over time, making your EMI unpredictable. The EMI formula above applies to fixed-rate loans.
Even a small change in interest rate has a significant impact over long tenures. For a $250,000 home loan over 30 years: at 6.0% the total interest is ~$289,600, at 6.5% it is ~$318,900, and at 7.0% it is ~$348,800. That is roughly $29,000 more for every 0.5% increase in the rate.