Loan EMI Calculator
Calculate your monthly Equated Monthly Installment (EMI), total interest charges, and inspect full loan amortization schedules.
Fixed Monthly EMI
Loan Amortization Schedule
Inspect period-by-period principal reduction and interest charges
| Year | Opening Balance | Payment | Principal | Interest | Ending Balance |
|---|---|---|---|---|---|
| 1 | $50,000 | $12,022.80 | $8,563.18 | $3,459.62 | $41,436.82 |
| 2 | $41,436.82 | $12,022.80 | $9,227.98 | $2,794.82 | $32,208.84 |
| 3 | $32,208.84 | $12,022.80 | $9,944.35 | $2,078.45 | $22,264.49 |
| 4 | $22,264.49 | $12,022.80 | $10,716.37 | $1,306.43 | $11,548.12 |
| 5 | $11,548.12 | $12,022.61 | $11,548.12 | $474.49 | $0 |
What is Loan Amortization?
Loan amortization is the process of spreading out a loan into a series of equal periodic payments. While each payment remains the exact same dollar amount throughout the fixed-rate loan term, the distribution of that payment between paying down principal and servicing interest changes dynamically over time.
The Standard Amortization EMI Formula
EMI = [P × r × (1 + r)^n] ÷ [(1 + r)^n - 1]Where:
- EMI = Equated Monthly Installment
- P = Principal loan amount (initial debt)
- r = Monthly periodic interest rate (Annual rate ÷ 12 ÷ 100)
- n = Total number of monthly installment periods (Years × 12)
Note: This formula applies to fixed-rate mortgages, auto loans, and standard consumer installment debt.
How Amortization Schedules Work
Every month when your EMI is paid, the bank executes two distinct calculations:
- Interest Portion: The lender multiplies your current remaining balance by the periodic monthly interest rate:
Interest = Remaining Principal × r. - Principal Portion: The remainder of your fixed EMI payment is applied toward lowering your loan balance:
Principal Paid = EMI - Interest.
Because the remaining principal decreases slightly every month, the interest charge for the subsequent month is lower. Consequently, a greater share of your payment chips away at the principal. By the final month, virtually 100% of the installment pays off the remaining principal balance, bringing your debt to zero.
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Frequently Asked Questions
Common questions and clear answers about this calculator