Student loan calculator: payment, total interest and payoff date on the federal standard, tiered or extended plan or a custom term, with extra payments.
Atualizado Exemplos verificados: 8
$35,000.00 at 6.52% on the 10-year standard plan costs $397.77 a month and $12,732.90 of interest; the last payment falls in September 2036.
| No. | Date | Pagamento | Principal | Juros | Saldo |
|---|---|---|---|---|---|
| 1 | Thursday, 29 October 2026 | $397.77 | $207.61 | $190.17 | $34,792.39 |
| 2 | Sunday, 29 November 2026 | $397.77 | $208.74 | $189.04 | $34,583.66 |
| 3 | Tuesday, 29 December 2026 | $397.77 | $209.87 | $187.90 | $34,373.79 |
| 4 | Friday, 29 January 2027 | $397.77 | $211.01 | $186.76 | $34,162.78 |
| 5 | Sunday, 28 February 2027 | $397.77 | $212.16 | $185.62 | $33,950.62 |
| 6 | Monday, 29 March 2027 | $397.77 | $213.31 | $184.47 | $33,737.31 |
| 7 | Thursday, 29 April 2027 | $397.77 | $214.47 | $183.31 | $33,522.84 |
| 8 | Saturday, 29 May 2027 | $397.77 | $215.63 | $182.14 | $33,307.21 |
| 9 | Tuesday, 29 June 2027 | $397.77 | $216.81 | $180.97 | $33,090.41 |
| 10 | Thursday, 29 July 2027 | $397.77 | $217.98 | $179.79 | $32,872.42 |
| 11 | Sunday, 29 August 2027 | $397.77 | $219.17 | $178.61 | $32,653.26 |
| 12 | Wednesday, 29 September 2027 | $397.77 | $220.36 | $177.42 | $32,432.90 |
All payments minus the balance: 120 payments, the last in September 2036.
The payment is the fixed amount that repays the balance over the plan's term: M = B × r × (1 + r)^n ÷ ((1 + r)^n − 1), where B is the balance, r the annual rate ÷ 12 and n the number of months. Federal fixed plans set n: 10 years on the standard plan, 25 on the extended plan, and 10 to 25 years by balance on the tiered standard plan for borrowers with a loan made on or after July 1, 2026. Payments are at least $50 a month.
With the defaults, 35,000 at the 2026–27 undergraduate rate of 6.52% costs 397.77 a month on the 10-year standard plan, with 12,732.90 of interest. The tiered standard plan gives the same balance 15 years: 305.27 a month but 19,949.05 of interest. Adding 100 a month to the 10-year plan ends it 31 months early and saves 3,516.78.
Income-driven plans (the Repayment Assistance Plan and IBR) are left out because their payments depend on income and family size; Federal Student Aid's Loan Simulator covers them.
Fonte de verificação: Python decimal (prec 50) annuity formula at 6.52%/12 over 120 months; interest = 120 × payment − 35,000
Fonte de verificação: 34 CFR 685.208(c)(1)(iii)(C): 50,000 to under 100,000 → 20 years; payment from Python decimal annuity formula
Fonte de verificação: 34 CFR 685.208(c)(1)(iii)(A): under 25,000 → 10 years; Python decimal annuity formula
Fonte de verificação: 34 CFR 685.208(c)(1)(iii)(D): 100,000 or more → 25 years; Python decimal annuity formula
Fixed monthly payments that repay the loan in 10 years, at least $50 a month, for borrowers whose federal loans were all made before July 1, 2026 (34 CFR 685.208(b)(1)). A 35,000 balance at 6.52% costs 397.77 a month and 12,732.90 of interest.
Borrowers with a federal loan made on or after July 1, 2026 get a term set by their total Direct Loan balance when repayment starts: under 25,000, 10 years; 25,000 to under 50,000, 15 years; 50,000 to under 100,000, 20 years; 100,000 or more, 25 years (Public Law 119-21, 34 CFR 685.208(c)). A 60,000 balance at 8.07% gets 20 years: 504.48 a month and 61,075.46 of interest.
Borrowers with more than 30,000 in Direct Loans and no federal loan made on or after July 1, 2026 can stretch repayment to 25 years with fixed or graduated payments (34 CFR 685.208(b)(4)). It lowers the payment but nearly triples the interest: 45,000 at 8.07% costs 349.41 a month and 59,821.98 of interest over 25 years, against 547.64 and 20,716.81 over 10 years.
6.52% for undergraduate Direct Subsidized and Unsubsidized Loans, 8.07% for graduate and professional Unsubsidized Loans and 9.07% for PLUS Loans first disbursed from July 1, 2026 to June 30, 2027 (Federal Student Aid). Each is the 4.47% high yield of the May 12, 2026 10-year Treasury auction plus a set margin, and stays fixed for the life of the loan (20 U.S.C. 1087e(b)(8)).
Yes, with no penalty: a borrower may prepay all or part of a Direct Loan at any time (34 CFR 685.211(a)(2)). On 35,000 at 6.52% over 10 years, 100 extra a month saves 3,516.78 and 31 months; 200 extra saves 5,490.71 and 49 months. An extra amount of at least one full payment counts as paying ahead and delays your next due date unless you tell the servicer otherwise.
A precisão depende dos dados inseridos e das hipóteses do método. O cálculo decimal usa 50 algarismos significativos, mas estimativas, métodos numéricos e dados de origem podem ter menor precisão; o arredondamento exibido não elimina essas limitações. Exemplos resolvidos verificados com fontes independentes: 8. Por exemplo, “35,000 at 6.52% on the 10-year standard plan” é verificado com Python decimal (prec 50) annuity formula at 6.52%/12 over 120 months; interest = 120 × payment − 35,000.
34 CFR 685.208 — Fixed payment repayment plans (standard, extended, tiered standard), as amended 91 FR 23886, May 1, 2026; 34 CFR 685.211 — Payment application and prepayment; Public Law 119-21, section 82001 — Loan repayment (HEA section 455(d)(7)); Federal Student Aid — Interest rates for Direct Loans first disbursed between July 1, 2026 and June 30, 2027; Federal Student Aid — Loan Simulator (income-driven plans).
Apenas para planejamento. Credores, autoridades fiscais e mercados aplicam seus próprios arredondamentos, tarifas e regras; confirme os valores com eles antes de assumir um compromisso.
Esta calculadora inclui 8 exemplos resolvidos com respostas de fontes independentes. Eles fazem parte do conjunto de testes e você também pode executá-los aqui.
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