Loan Tenure Calculator — How Many Months to Repay?
Find out exactly how many months — and years — it will take to repay a loan. Enter the loan principal, the annual interest rate, and the monthly EMI (equated monthly instalment) you plan to pay. The calculator solves for the number of payments and shows how your balance declines to zero.
%
13.8 years to fully repay the loan
- 1
Monthly interest rate
8 % ÷ 1200 = 0.006667 - 2
First month's interest
200,000 × 0.006667 = 1,333.3333 - 3
EMI surplus over interest
2,000 − 1,333.3333 = 666.6667 - 4
Payment ratio
2,000 ÷ 666.6667 = 3 - 5
Tenure (months, rounded up)
⌈ln(3) ÷ ln(1 + 0.006667)⌉ = 166Rounded up to the next whole month to fully clear the balance.
How does this calculator work?
Loan tenure n = ln(EMI / (EMI − P·r)) / ln(1 + r) where r = annual rate / 1200. EMI must exceed P × r (the monthly interest charge) or the loan cannot be repaid. A ₹200,000 loan at 8% p.a. with EMI ₹2,000 takes about 150 months (12.5 years) to repay.
Formula
How this is calculated
The standard EMI formula for a reducing-balance loan is EMI = P × r × (1+r)^n / ((1+r)^n − 1), where P is the principal, r is the monthly interest rate (annual rate ÷ 1200), and n is the number of monthly payments. Rearranging for n gives n = ln(EMI / (EMI − P·r)) / ln(1 + r).
A feasibility check is required: the EMI must exceed P × r (the first month's interest charge). If EMI equals or falls below this threshold, the payment does not even cover the interest accrued, so the balance never decreases and the loan cannot be repaid at that EMI level — increase the EMI to get a result. The balance curve shown plots Balance(k) = P(1+r)^k − EMI((1+r)^k − 1)/r for each month k until the balance reaches zero.
The result is rounded up to the next whole month because the final partial-period payment closes the loan. This calculator assumes monthly compounding of the nominal annual rate, which is standard for most retail loans (home loans, car loans, personal loans). Some lenders use daily or weekly compounding — check your loan agreement for the exact terms, as they affect tenure slightly.
Frequently asked questions
Paying more than the minimum EMI reduces the outstanding principal faster, shortening the tenure significantly. Even a 10% increase in EMI can cut the loan term by several years on a long-horizon mortgage. This calculator assumes a fixed EMI throughout; to model step-ups, recalculate with the remaining balance as the new principal at the new EMI.
For long-tenure loans (20-30 years), even a 0.5% rate change can add or remove 12-24 months of payments because the interest compounds over many periods. At higher rates a larger fraction of each EMI goes to interest rather than principal, slowing the balance reduction.
The break-even EMI is exactly P × r (principal × monthly rate). At this level, each payment exactly offsets the interest, and the balance stays constant — the loan is never repaid. Any EMI above this starts reducing the balance; the higher the EMI above the break-even, the shorter the tenure.
Also known as
TG we-Calculate Editorial Team. (2026). Loan Tenure Calculator — How Many Months to Repay? [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/tenure-calculator
TG we-Calculate Editorial Team. "Loan Tenure Calculator — How Many Months to Repay?." TG we-Calculate. 2026. https://we-calculate.com/calculator/tenure-calculator.
TG we-Calculate Editorial Team, "Loan Tenure Calculator — How Many Months to Repay?," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/tenure-calculator
@misc{wecalculate_tenure_calculator, title = {Loan Tenure Calculator — How Many Months to Repay?}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/tenure-calculator}}, year = {2026}, note = {TG we-Calculate} }
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