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Calculate Federal Student Loan Repayment

Federal Student Loan Payment Formula:

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

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1. What is the Federal Student Loan Payment Formula?

The standard formula calculates the fixed monthly payment required to repay a student loan over a specified term. This formula is used for federal direct unsubsidized loans (starting at 5.50% in 2025) and other installment loans.

2. How Does the Calculator Work?

The calculator uses the standard 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, calculating a fixed payment that will pay off both principal and interest by the end of the term.

3. Importance of Loan Calculation

Details: Understanding your monthly payment helps with budgeting and financial planning. Federal student loans typically offer 10-year standard repayment, but extended plans up to 30 years may be available.

4. Using the Calculator

Tips: Enter the principal amount in USD, annual interest rate as a percentage (e.g., 5.50), and repayment term in years. Default values reflect 2025 federal unsubsidized loan rates.

5. Frequently Asked Questions (FAQ)

Q1: What's the current federal student loan interest rate?
A: For 2025, federal direct unsubsidized loans start at 5.50% for undergraduates (higher for graduate/professional loans).

Q2: How can I reduce my total interest paid?
A: Making extra payments toward principal or choosing a shorter repayment term reduces total interest.

Q3: Are there different repayment plans?
A: Yes, including Standard (10 years), Extended (up to 30 years), and income-driven plans with different calculations.

Q4: Does this calculator work for private student loans?
A: Yes, if they use simple interest amortization, though private loan terms and rates vary more.

Q5: Are there loan forgiveness options?
A: Federal loans may qualify for Public Service Loan Forgiveness (PSLF) after 120 qualifying payments.

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