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EMI Tenure Calculator

EMI Tenure Formula:

\[ Tenure = \frac{\log\left(\frac{EMI}{EMI - Loan \times r}\right)}{\log(1 + r)} \]

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1. What is EMI Tenure?

The EMI tenure is the number of months required to repay a loan based on fixed monthly payments (EMI), loan amount, and interest rate. It helps borrowers understand how long they'll be making payments.

2. How Does the Calculator Work?

The calculator uses the tenure formula:

\[ Tenure = \frac{\log\left(\frac{EMI}{EMI - Loan \times r}\right)}{\log(1 + r)} \]

Where:

Explanation: The formula calculates how many monthly payments are needed to fully repay the loan including interest.

3. Importance of Tenure Calculation

Details: Knowing your loan tenure helps with financial planning, comparing loan offers, and understanding your long-term financial commitments.

4. Using the Calculator

Tips: Enter EMI in USD, loan amount in USD, and monthly interest rate as a decimal (e.g., 0.01 for 1%). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is monthly interest rate calculated from annual rate?
A: Divide the annual rate by 12 (months). For example, 12% annual becomes 1% (0.01) monthly.

Q2: What if my EMI is less than the interest amount?
A: The loan would never be repaid in this case. EMI must be greater than (Loan × r) for the formula to work.

Q3: Does this account for changing interest rates?
A: No, this assumes a fixed interest rate for the entire loan period.

Q4: How accurate is this calculation?
A: It's mathematically precise for fixed-rate loans. Actual tenure may vary with fees or rate changes.

Q5: Can I use this for other payment frequencies?
A: This calculates monthly tenure. For weekly or quarterly payments, adjust the rate and EMI accordingly.

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