Finance & Investment
Calculate Education Loan Repayments and Starting Balance
Estimate monthly education-loan repayments from principal, rate and term, account for the balance at repayment start, and distinguish moratorium assumptions.
Start at the repayment date
The Education Loan Calculator estimates equal monthly repayments using a starting principal, an annual interest rate and a repayment term in years. It does not model tuition disbursements over several semesters, a study period, a moratorium or a grace period. The principal entered should therefore be the amount to which the repayment model applies when regular payments begin. That may differ from the original amount borrowed. Use the actual loan terms and statement to establish the balance instead of assuming that a period without required payments is automatically interest free.
Use the monthly repayment formula
Let P be starting principal, i the annual rate divided by 100 and then by 12, and n the number of monthly payments. For a positive rate, the payment is P×i×(1+i)^n/[(1+i)^n−1]. The tool rounds years×12 to a whole number of months. For zero interest, it uses P/n. This model assumes a constant rate and equal payments at month ends. Daily interest methods, irregular payment dates, fees or changing rates can make a lender's actual schedule differ even when the initial principal and quoted annual rate appear similar.
Calculate a basic repayment example
Assume a repayment-start balance of 100,000, an illustrative annual rate of 6% and a five-year term. The monthly rate is 0.5% and the payment count is 60. The formula gives approximately 1,933.280153 per month, displayed as 1,933.28. Multiplying the unrounded payment by 60 gives total payments of approximately 115,996.81 and interest of 15,996.81. The rate and currency are illustrative. The result is not a current education-loan offer or a claim about the terms of a specific lender.
Check what happens before repayment begins
Suppose a separate hypothetical agreement accrues simple interest on 100,000 at 6% for two years without payments and then adds that interest to principal. The accrued amount would be 100,000×0.06×2=12,000, producing a repayment-start principal of 112,000. Entering 112,000 in the same five-year model increases the payment to approximately 2,165.27. This capitalization is an explicit scenario assumption. Real loans differ in whether, when and how unpaid interest is added to principal; the calculator does not decide that rule or infer eligibility for a subsidy.
Keep study duration and repayment duration separate
A two-year course followed by five years of repayments does not mean that the equal-payment formula should use seven years. The repayment term is the period over which the modeled instalments occur. Any earlier interest belongs in a separate calculation under the contract's terms. If funds are disbursed in stages, each portion has its own exposure time before repayment, so charging every disbursement for the full course length can overstate interest. Prepare a dated disbursement schedule when that distinction matters instead of using one undifferentiated original loan amount.
Compare a longer term without losing sight of total cost
For the same 100,000 starting balance and 6% rate over ten years, the payment is approximately 1,110.21 per month. Using the unrounded formula, total payments are approximately 133,224.60 and interest is 33,224.60. The lower monthly payment is accompanied by more interest under these constant-rate assumptions. Compare both monthly cash requirements and total repayment rather than selecting a term from the payment alone. If a lender changes the rate during the loan, the remaining balance and revised schedule need to be recalculated at the change date.
Reconcile the estimate with a real loan schedule
The calculator displays two decimal places, while the underlying total uses the unrounded monthly amount. A lender may round each payment and adjust the final instalment, creating small differences. Fees, insurance and charges are absent unless they are deliberately included in the principal on an appropriate basis. An extra payment or a period of reduced payments also requires a different schedule. Keep the repayment-start date, balance, rate convention and payment count with the estimate, then compare those assumptions with the lender's statement before treating the displayed total as the amount contractually owed.
Use the Education Loan Calculator
Source and scope
CFPB: interest during study and the meaning of capitalization