LOANS & MORTGAGES CHANNEL
EMI Calculator
Calculate periodic Equated Monthly Installments (EMI) across home or auto loan tenures.
Calculator Variables
Calculation Overview
Calculate Equated Monthly Installments (EMI) easily for home, auto, or personal loans. View interactive repayment breakdown.
Mathematical Model & Formula
EMI = P * [r(1+r)^n]/[(1+r)^n - 1]
EMI utilizes amortization math to ensure all payments remain uniform, shifting the payment weight from interest to principal.
Variables Defined:
- EMI: Equated Monthly Installment
- P: Loan Principal Amount
- r: Monthly interest rate (decimal annual / 12)
- n: Total payments (months)
Worked Example Scenario
Scenario: You borrow $50,000 for 5 years at an 8.5% annual interest rate.
- P = $50,000, r = 0.085 / 12 = 0.007083, n = 5 * 12 = 60 months
- Calculate EMI: $50,000 * [0.007083 * (1.007083)^60] / [(1.007083)^60 - 1]
- Solve brackets: 0.007083 * 1.5273 / 0.5273 ≈ 0.020516
- Solve EMI: $50,000 * 0.020516 ≈ $1,025.83
Result: Monthly EMI payment is $1,025.83.
Frequently Asked Questions
What is EMI?
An Equated Monthly Installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month.
Academic & Regulatory References
- Investopedia - Equated Monthly Installment → Standard definition of EMI.