Calculate monthly EMI payments, total interest liability, and view full reducing-balance amortization schedules.
Standard Reducing-Balance EMI Formula: EMI = [P × r × (1 + r)^n] ÷ [(1 + r)^n − 1] Where: • P = Principal loan amount • r = Monthly interest rate (Annual Nominal Rate ÷ 12 ÷ 100) • n = Total monthly periods (Tenure in Years × 12, or total Months) Monthly Installment Split: • Monthly Interest = Outstanding Principal Balance × r • Monthly Principal = EMI − Monthly Interest • Ending Balance = Starting Balance − Monthly Principal Repaid
Consider a reducing-balance loan of $100,000 (or ₹1,00,000) at 8.5% annual interest over a 10-year tenure (120 monthly installments):
Understand the mathematical structure of amortized loans. Discover why early payments are weighted toward interest and how prepayments compress your loan schedule.
EMI on a reducing balance loan is calculated using the formula EMI = [P × r × (1 + r)^n] / [(1 + r)^n − 1], where P is principal, r is the monthly interest rate (annual rate / 12 / 100), and n is total monthly periods. Each month, interest is charged strictly on the remaining principal balance, ensuring payments steadily reduce debt.
Because the outstanding principal balance is highest at the beginning of the loan term, the calculated monthly interest charge (Remaining Balance × Monthly Rate) is also at its peak. As regular monthly installments gradually reduce the principal balance, the interest charge shrinks each month, allowing a progressively larger share of your fixed EMI to pay down principal.
Under a reducing balance loan, interest is computed only on the outstanding debt remaining at the start of each month. In contrast, a flat rate loan calculates interest on the original sanction amount for the entire tenure. As a result, a 10% flat rate loan typically carries an effective APR of approximately 17% to 19% under reducing balance math, costing significantly more in total interest.
When you make an extra prepayment, 100% of the additional funds are deducted directly from your outstanding principal balance. Because subsequent monthly interest charges are recalculated on this smaller debt, you can either lower your monthly EMI payment while keeping tenure constant, or maintain your EMI to dramatically shorten the loan repayment timeline.
If you hold a floating- or variable-rate loan and benchmark interest rates increase, lenders typically extend your loan tenure while keeping your monthly EMI constant to prevent immediate cash-flow shock. However, if the tenure reaches regulatory or age caps, the lender will increase your monthly EMI amount.
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Calculate monthly payments (EMI), total interest, and view loan amortization timelines.
Estimated loan breakdown based on reducing interest balance.
