EMI Calculator
Calculate equated monthly instalments for a loan, with total interest, amortisation breakdown and the effect of prepayment.
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How the instalment is derived
An equated monthly instalment keeps the payment constant across the term while the split between interest and principal shifts. The formula is P times r times (1+r)^n, divided by ((1+r)^n minus 1), where P is the principal, r is the monthly interest rate (the annual rate divided by 12 and by 100) and n is the number of months. Each payment first covers the interest accrued that month on the outstanding balance; whatever remains reduces the principal.
Early payments are almost all interest
Because interest is charged on the outstanding balance, the first instalments on a long loan go overwhelmingly to interest and barely reduce what you owe. On a 20-year home loan at a typical rate, more than half of each early payment is interest, and the crossover point where principal exceeds interest arrives years in. This is why paying a loan for several years can leave the balance stubbornly high, and it is worth seeing in the amortisation table rather than being surprised by it.
Prepayment works because it attacks principal
A lump sum paid against principal removes all the future interest that balance would have generated, so prepaying early saves dramatically more than prepaying late. Even small regular additional payments shorten the term substantially. Two things to check before committing: whether the lender charges a prepayment penalty, and whether the extra amount reduces the term or the instalment, since reducing the term saves far more interest.
Fixed versus floating
A fixed rate keeps the instalment predictable for the fixed period. A floating rate moves with a benchmark, and lenders commonly hold the instalment constant while extending or shortening the term instead, which hides the change. If your rate has moved and the payment has not, check whether the term has quietly grown.
The advertised rate is not the whole cost
Processing fees, insurance bundled with the loan, documentation and legal charges all add to the real cost. Compare the annual percentage rate rather than the headline interest rate, since the APR is intended to fold those in. This calculator computes on interest alone, so add fees separately when comparing offers.
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Frequently Asked Questions
Why is so much of my early payment going to interest?
Interest is charged on the outstanding balance, which is highest at the start. On a long loan more than half of each early instalment is interest, and the crossover where principal exceeds interest arrives years in.
Is it better to prepay early or late?
Early, by a wide margin. A prepayment removes all the future interest the repaid balance would have generated, so the same sum paid in year two saves far more than in year fifteen.
Should prepayment reduce the term or the instalment?
Reducing the term saves considerably more interest, because you stop paying sooner. Reducing the instalment improves monthly cash flow but keeps you borrowing for the full original period.
What happens to my EMI when a floating rate changes?
Many lenders hold the instalment constant and adjust the term instead, so a rate rise silently extends your loan. If your rate has moved and the payment has not, check whether the remaining term has grown.
Does this include processing fees?
No. The calculation covers principal and interest only. Processing fees, bundled insurance and legal charges add to the real cost, so compare the annual percentage rate rather than the headline interest rate.
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Disclaimer: This tool is provided "as is" without warranty of any kind. Results are for educational and utility purposes.
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