Student Loan Calculator
Calculate your monthly payment, total interest, payoff date, and view a full amortization schedule.
Monthly Payment
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Total Interest
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Total Paid
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Amortization Schedule
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How Student Loan Repayment Works
Student loans are a common way to finance higher education in the United States. Federal student loans typically offer fixed interest rates set by Congress, while private student loans may have fixed or variable rates set by the lender. Understanding how your monthly payment is calculated and how interest accrues helps you plan your repayment strategy and potentially save thousands of dollars over the life of the loan.
The Monthly Payment Formula
For a standard repayment plan, the monthly payment is calculated using the amortization formula: M = P × r × (1 + r)n / ((1 + r)n − 1), where P is the loan principal, r is the monthly interest rate, and n is the total number of payments. Each payment covers the accrued interest first, and the remainder reduces your principal balance.
Repayment Strategies
The standard federal repayment plan spans 10 years with fixed monthly payments. Income-driven repayment plans cap payments at a percentage of your discretionary income but extend the repayment period. Making extra payments or paying more than the minimum each month reduces your principal faster, decreasing total interest. You can also explore refinancing to a lower interest rate if you have strong credit.
Use this calculator to compare different repayment scenarios. Toggle between solving for monthly payment or loan term to see how adjusting either value affects your total cost and payoff timeline. The amortization chart below shows exactly how your balance decreases over time.
Formula
PMT = P × [r(1 + r)n] / [(1 + r)n − 1]
Where:
- PMT = monthly student loan payment
- P = total loan principal
- r = monthly interest rate (annual rate ÷ 12)
- n = total number of monthly payments (repayment term in months)
Example Calculation
Scenario: $40,000 student loan at 5.5% interest, standard 10-year repayment
- Step 1: Monthly rate r = 5.5% ÷ 12 = 0.004583
- Step 2: Total payments n = 10 × 12 = 120
- Step 3: PMT = $40,000 × [0.004583(1.004583)120] / [(1.004583)120 − 1]
- Result: Monthly payment = $434.05 | Total interest paid = $12,086.00
This calculator is for informational purposes only and does not constitute financial, tax, or legal advice. Always consult a qualified professional for decisions specific to your situation.