Loan Tenure Calculator

Calculate the required number of months and years needed to pay off a loan given a fixed EMI and interest rate.

Inputs

Loan Amount (₹)

10,00010,00,00,000

Interest Rate (% p.a.)

130

Monthly EMI (₹)

50050,00,000

Calculation Results

Required Tenure (Months)

Required Tenure (Years)

7.58

Total Amount Payable

₹13,65,000

Total Interest Payable

₹3,65,000

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Formula & Mathematical Explanation

\displaystyle n = - \frac{\ln\left(1 - \frac{P \times i}{EMI}\right)}{\ln(1 + i)}

Calculates the total periods (n months) required to repay loan P at monthly rate i with fixed EMI. Note: EMI must be greater than monthly interest accrued (P * i).