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Personal Loan Repayments Calculator

Loan Payment Formula:

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

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1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to fully repay a loan over its term, including both principal and interest. This is commonly known as the amortizing loan formula.

2. How Does the Calculator Work?

The calculator uses the loan payment formula:

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

Where:

Explanation: The formula accounts for compound interest over the life of the loan, ensuring each payment covers both interest and principal reduction.

3. Importance of Loan Calculation

Details: Understanding your monthly payment helps with budgeting and financial planning. It also allows you to compare different loan offers and terms.

4. Using the Calculator

Tips: Enter the principal amount in USD, annual interest rate as a percentage, and loan term in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does the monthly payment seem high?
A: The payment includes both principal and interest. Shorter loan terms or higher interest rates will result in higher monthly payments.

Q2: How can I reduce my monthly payment?
A: You can reduce payments by extending the loan term, reducing the principal amount, or securing a lower interest rate.

Q3: What's the difference between APR and interest rate?
A: APR includes both the interest rate and any additional fees, providing a more complete picture of the loan cost.

Q4: Are there loans with different payment structures?
A: Yes, some loans have interest-only periods or balloon payments, but this calculator assumes standard amortizing loans.

Q5: How accurate is this calculator?
A: It provides accurate estimates for fixed-rate loans, but actual payments may vary slightly due to rounding or lender-specific policies.

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