Equated Monthly Installment (EMI) Mathematical Formula
The standard reducing-balance loan EMI calculation formula is expressed as:
1. Equated Monthly Installment (EMI) Formula
EMI = P × r ×
(1 + r)ⁿ(1 + r)ⁿ - 1
2. Cumulative Lifetime Repayment & Total Interest
Total Repaid = EMI × n | Total Interest = Total Repaid - Principal (P)
Step-by-Step EMI Calculation Breakdown
Step 1: Compute Monthly Periodic Rate
6.5% annual rate ÷ 12 months = 0.5417% per month.
Step 2: Solve for Monthly EMI Installment
$250000 borrowed over 20 years = $1,863.93 / month.
Step 3: Total Repayment & Finance Interest Cost
Total Repaid=$447,343.88 ($197,343.88 total interest)
EMI Loan Benchmarks Comparison
| Loan Category | Typical Tenure | Average Rate Range | Interest / Principal Ratio |
|---|---|---|---|
| Home Mortgage | 15 to 30 Years | 6.00% – 7.25% | 80% to 140% of principal |
| Auto Financing | 36 to 72 Months | 4.99% – 8.50% | 12% to 22% of principal |
| Personal Unsecured | 12 to 60 Months | 8.99% – 18.00% | 15% to 35% of principal |