Loans Term

Amortization Schedule

Definition

A period-by-period table of a loan's repayment showing how each EMI splits into interest and principal and what balance remains after every payment.

Mathematical Formula

Bt=Bt−1(1+r)−EMIB_t = B_{t-1}(1 + r) - EMI

Context & Practical Application

What is an Amortization Schedule? (Simple Terms)

An amortization schedule is a month-by-month table of your loan. Each row shows the EMI paid, how much went to interest, how much reduced the principal, and what balance remains.

On a ₹50 Lakhs home loan at 8.5%, the first row is ₹35,417 interest and ₹7,974 principal. By the last row, the principal share dominates.

Understanding Amortization Schedules

Early rows are interest-heavy because interest is charged on a large balance; under the reducing balance method, every prepayment shifts all the later rows. You can generate a full schedule for any loan with the EMI Calculator.

Use it to plan: the table shows exactly how much balance a prepayment erases, and why a shorter loan tenure front-loads principal repayment. What is EMI? explains the mechanics.

Mathematical Analysis of Amortization Schedules

With monthly rate rr and a constant EMI, the balance after payment tt obeys:

Bt=Bt−1(1+r)−EMIB_t = B_{t-1}(1 + r) - EMI

The schedule is this recurrence iterated from B0=PB_0 = P until Bn=0B_n = 0, which is what pins down the EMI. Interest in period tt is r×Bt−1r \times B_{t-1}, so the interest column declines geometrically while principal repayment accelerates. Edge case: rounding each row to the nearest rupee leaves a small residual that lenders settle in the final instalment.

Referenced In Guides & Comparisons

Learn how Amortization Schedule is applied in real-world scenarios across our pathways:

Guide (curriculum-lesson)What is EMI?