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Loan Payment Calculator With Monthly Interest Rate

EMI Formula:

\[ EMI = P \times \frac{r \times (1 + r)^m}{(1 + r)^m - 1} \]

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1. What is the EMI Formula?

The EMI (Equated Monthly Installment) formula calculates the fixed monthly payment amount for a loan, consisting of both principal and interest components. It's widely used for mortgages, car loans, and other installment loans.

2. How Does the Calculator Work?

The calculator uses the EMI formula:

\[ EMI = P \times \frac{r \times (1 + r)^m}{(1 + r)^m - 1} \]

Where:

Explanation: The formula calculates the fixed monthly payment needed to pay off a loan over a specified period, accounting for both principal repayment and interest charges.

3. Importance of EMI Calculation

Details: Accurate EMI calculation helps borrowers understand their repayment obligations, compare different loan offers, and plan their finances effectively.

4. Using the Calculator

Tips: Enter the principal amount in currency units, monthly interest rate as a decimal (e.g., 0.005 for 0.5%), and loan term in months. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert annual interest rate to monthly?
A: Divide the annual rate by 12. For example, 6% annual rate = 0.06/12 = 0.005 monthly rate.

Q2: Does this formula account for changing interest rates?
A: No, this formula assumes a fixed interest rate throughout the loan term.

Q3: What's included in the EMI payment?
A: EMI includes both principal repayment and interest charges for each payment period.

Q4: Can I use this for different payment frequencies?
A: This formula is specifically for monthly payments. For other frequencies, you'd need to adjust the rate and term accordingly.

Q5: How does loan term affect EMI?
A: Longer loan terms result in lower EMIs but higher total interest paid over the life of the loan.

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