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Student Loan Repayment Calculator

Loan Payment Formula:

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

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years

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1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to repay a loan over a specified term. It accounts for the principal amount, interest rate, and loan duration to determine the periodic payment amount.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula calculates the fixed payment needed to fully amortize the loan over its term, accounting for both principal and interest components.

3. Importance of Loan Calculation

Details: Understanding your loan payments helps with financial planning, budgeting, and comparing different loan options. It shows the true cost of borrowing over time.

4. Using the Calculator

Tips: Enter the loan amount in USD, annual interest rate as a percentage (e.g., 5.5 for 5.5%), and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How does loan term affect payments?
A: Longer terms reduce monthly payments but increase total interest paid. Shorter terms have higher payments but lower total interest.

Q2: What's the difference between principal and interest?
A: Principal is the amount borrowed. Interest is the cost of borrowing. Early payments are mostly interest; later payments are mostly principal.

Q3: Are there other loan types?
A: This calculator is for fixed-rate loans. Adjustable-rate loans have payments that change over time based on interest rate fluctuations.

Q4: What about loan fees?
A: This calculator doesn't account for origination fees or other loan costs. These would increase the effective cost of borrowing.

Q5: Can I pay extra to reduce interest?
A: Yes, additional principal payments reduce the loan balance faster and decrease total interest paid over the life of the loan.

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