Loan Amortization Formula
Amortization shows how each loan payment splits between principal repayment and interest. In early years, most of your EMI goes toward interest.
Amortization Components
Interest = Outstanding × r | Principal = EMI - Interest
Where:
- EMI = Fixed monthly payment
- r = Monthly interest rate
- Outstanding = Remaining loan balance
Step-by-Step:
- 1
Calculate EMI
EMI = P × r × (1+r)^n / ((1+r)^n - 1).
- 2
For each month: interest portion
Interest = Outstanding Balance × Monthly Rate.
- 3
Principal portion
Principal repaid = EMI - Interest. New balance = Old balance - Principal repaid.
Worked Examples:
Home loan amortization
Loan: ₹30LRate: 8%EMI: ₹25,093
Result: Month 1: ₹20,000 interest + ₹5,093 principal
Interest = 30L × (8%/12) = ₹20,000. Principal = 25,093 - 20,000 = ₹5,093. New balance = ₹29,94,907.