Financial Calculators
Loan Tenure Calculator
You know the EMI you can pay. This tells you exactly how long the loan will run, and what the interest bill will be.
Loan clears in
119 months
about 9.9 years
- Total interest paid
- ₹9,75,000
- Total outgo
- ₹29,75,000
Tenure is solved exactly from the EMI formula. A slightly higher EMI often shortens the tenure dramatically; try moving the slider to see.
Solving the loan backwards
Banks usually quote an EMI for a chosen tenure. This calculator flips it: given the EMI you are comfortable paying, it solves the exact number of months the loan needs, using the same amortisation arithmetic lenders use.
If the EMI barely exceeds the monthly interest, the tenure balloons; a small increase in EMI can cut years off the loan. Move the slider and watch the sensitivity.
The tenure formula
n = -ln(1 - P x i / E) / ln(1 + i)\n\nP = principal, E = EMI\ni = rate / 12 / 100, n = months (rounded up)Worked example: a Rs 20,00,000 loan at 8.5% with an EMI of Rs 25,000 takes 119 months, about 9.9 years, and costs about Rs 9,75,000 in total interest.
Frequently asked questions
Why does the calculator sometimes say the EMI is not enough?
If the EMI does not even cover the first month's interest, the balance grows instead of shrinking and the loan never ends. The EMI must exceed principal x monthly rate.
Does a small EMI increase really matter?
Enormously. Near the minimum EMI, tenure is hyper-sensitive; adding even 10% to the EMI can shorten the loan by years and save lakhs in interest.
Is the result exact?
Yes, it uses the standard amortisation formula, with the final month rounded up. The last EMI in practice is slightly smaller to close the exact balance.
Does this work for home, car and personal loans?
Yes. Any reducing-balance loan with a fixed rate and EMI follows the same arithmetic; just enter the right rate.
Shorten the loan deliberately.
Prepayments and right-sized EMIs together can cut years off any loan.