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. 1

      Calculate EMI

      EMI = P × r × (1+r)^n / ((1+r)^n - 1).

    2. 2

      For each month: interest portion

      Interest = Outstanding Balance × Monthly Rate.

    3. 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.

    Frequently Asked Questions