Work out loan tenure instantly with clear inputs, formula shown and shareable results.
Given a loan, a rate and the instalment you can afford, the tenure follows from inverting the annuity formula. The EMI must exceed one month's interest on the opening balance, otherwise the debt never reduces.
Tenure
n = -ln(1 - P·r/EMI) / ln(1 + r)
Figures are estimates. Lenders apply their own rounding, fees and eligibility rules, and rates change. This is not financial advice — confirm the numbers with your lender.
That product is the first month's interest. Paying less than it leaves the balance growing every month.
Near the affordability threshold a modest increase can cut years off the tenure, because almost all of it attacks principal.