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Formula

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Results

Monthly Payment
212.13
per month
Loan Amount 20,000
Total of Payments 25,455.72
Total Interest Paid 5,455.72

What Is the Student Loan Calculator?

This calculator estimates the fixed monthly payment on a student loan along with the total amount you will repay over the life of the loan and the total interest you will pay. It uses the standard fully-amortizing loan formula, the same math used for most installment loans. It applies to any fixed-rate student loan regardless of country — just enter your loan amount, annual interest rate (APR) and term in years.

How to Use It

Enter three values: the loan amount (the principal you borrowed), the annual interest rate as a percentage, and the loan term in years. The calculator converts the APR into a monthly rate and the term into months, then returns your monthly payment, total of all payments, and the total interest portion.

The Formula Explained

The monthly payment is $$M = \frac{P \cdot r (1+r)^n}{(1+r)^n - 1}$$ where \(P\) is the principal, \(r = APR/12\) is the monthly interest rate, and \(n = \text{years} \times 12\) is the number of payments. Total paid is \(M \times n\) and total interest is \(M \times n - P\). If the interest rate is 0%, the payment simply becomes \(P / n\).

Diagram labeling the parts P, r, n and M of the amortization formula
The amortization formula and what each symbol (P, r, n, M) represents.

Worked Example

Suppose you borrow $20,000 at 5% APR over 10 years. The monthly rate is \(0.05/12 \approx 0.0041667\) and \(n = 120\) months. Plugging into the formula gives a monthly payment of about $212.13. Over 120 months you repay roughly $25,455.79, of which about $5,455.79 is interest.

Chart showing loan balance falling while principal share of payments rises and interest share falls
Over the term, each payment shifts from mostly interest toward mostly principal until the balance reaches zero.

FAQ

Does this include capitalized interest? No. It assumes a fixed principal with no fees or capitalization during a deferment period.

Can I use it for any currency? Yes — the math is currency-neutral; the dollar sign is just for display.

What if my rate is variable? This tool assumes a fixed rate. For variable-rate loans, run it again with different rates to see a range.

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