Student Loan Calculator
Student Loan is evaluated from Total Loan Balance, Annual Interest Rate and Repayment Term. The calculation reports Monthly Payment, Total Repaid and Total Interest.
Results
About the Student Loan Calculator
The calculator uses a financial amortization configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.
Formula basis:
Monthly Payment = P x r x (1 + r)ⁿ / [(1 + r)ⁿ - 1]
Where P = total loan balance, r = annual rate / 1200, n = repayment months
Total Repaid = Monthly Payment x n
Total Interest = Total Repaid - P
Federal Standard Plan: n = 120 months (10 years)
Federal Extended Plan: n = up to 300 months (25 years)
Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.
Formula & How It Works
The calculation applies the following relations exactly as recorded in the metadata: Monthly Payment = P x r x (1 + r)ⁿ / [(1 + r)ⁿ - 1] Where P = total loan balance, r = annual rate / 1200, n = repayment months Total Repaid = Monthly Payment x n Total Interest = Total Repaid - P Federal Standard Plan: n = 120 months (10 years) Federal Extended Plan: n = up to 300 months (25 years) Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.
Worked Examples
Example 1: Typical Bachelor's Degree Debt — Standard 10-Year Plan
Inputs
With Total Loan Balance = 37,000, Annual Interest Rate = 6.53 and Repayment Term = 120 as the stated inputs, the result is Monthly Payment = $420.69, Total Repaid = $50,903.49 and Total Interest = $13,483.2. Each value corresponds to the declared output fields.
Example 2: Graduate School Loans — Extended Repayment
Inputs
With Total Loan Balance = 85,000, Annual Interest Rate = 8.08 and Repayment Term = 240 as the stated inputs, the result is Monthly Payment = $715.21, Total Repaid = $172,365.61 and Total Interest = $86,651.63. Each value corresponds to the declared output fields.
Example 3: Private Student Loan — Competitive Rate
Inputs
With Total Loan Balance = 25,000, Annual Interest Rate = 5.25 and Repayment Term = 120 as the stated inputs, the result is Monthly Payment = $268.23, Total Repaid = $32,187.6 and Total Interest = $7,187.54. Each value corresponds to the declared output fields.
Example 4: Parent PLUS Loan
Inputs
With Total Loan Balance = 60,000, Annual Interest Rate = 9.08 and Repayment Term = 120 as the stated inputs, the result is Monthly Payment = $762.65, Total Repaid = $92,280.65 and Total Interest = $31,518.87. Each value corresponds to the declared output fields.
Common Use Cases
- Calculate monthly payment on federal or private student loans
- Compare 10-year standard vs extended repayment plans
- Estimate total interest cost of education debt