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Federal Student Loan 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 Federal Student Loan Payment Formula?

The Federal Student 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 consistent payments.

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 the specified term, with each payment covering both principal and interest.

3. Importance of Loan Payment Calculation

Details: Understanding your monthly payment helps with budgeting and financial planning. It also shows the true cost of borrowing through total interest calculations.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between federal and private student loans?
A: Federal loans typically have fixed interest rates and more flexible repayment options than private loans.

Q2: Are there different repayment plans available?
A: Yes, federal loans offer standard, graduated, extended, and income-driven repayment plans.

Q3: How can I reduce my total interest paid?
A: Making extra payments or choosing a shorter repayment term reduces total interest.

Q4: Does this calculator work for other types of loans?
A: Yes, it works for any fixed-rate, fully amortizing loan (mortgages, car loans, etc.).

Q5: What if I have multiple student loans?
A: Calculate each loan separately or combine them into a weighted average interest rate.

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