⌖ Loans & Installments
Installments Solver.
Given the EMI you can afford, how many months will it take?
⌖ Inputs
⌖ Result
Tenure required
67
67 months — about 5 years 7 months.
Total amount payable
₹13,20,863
Total interest
₹3,20,863
⌖ §I / Formula
The math,
in the open.
The number of months required is the inverse of the EMI formula — solve for n given the principal, monthly rate and the EMI you can sustain:
n = ln(EMI ÷ (EMI − P × r)) ÷ ln(1 + r)
For the loan to ever close, your EMI must exceed the first month’s interest (P × r). If it doesn’t, the outstanding balance grows each month and the loan never amortises.