Student loan calculator: payment, total interest and payoff date on the federal standard, tiered or extended plan or a custom term, with extra payments.
更新于 已验证的示例：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 | 还款额 | 本金 | 利息 | 余额 |
|---|---|---|---|---|---|
| 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.
核验来源：Python decimal (prec 50) annuity formula at 6.52%/12 over 120 months; interest = 120 × payment − 35,000
核验来源：34 CFR 685.208(c)(1)(iii)(C): 50,000 to under 100,000 → 20 years; payment from Python decimal annuity formula
核验来源：34 CFR 685.208(c)(1)(iii)(A): under 25,000 → 10 years; Python decimal annuity formula
核验来源：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.
准确性取决于输入值和方法的假设。十进制运算使用50位有效数字，但估算、数值方法和源数据的精度可能较低；显示时的舍入并不能消除这些限制。 已按独立来源核验的计算示例：8。 例如，“35,000 at 6.52% on the 10-year standard plan”根据Python decimal (prec 50) annuity formula at 6.52%/12 over 120 months; interest = 120 × payment − 35,000进行核验。
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).
仅用于规划。贷款机构、税务机关和市场采用各自的舍入方式、费用和规则；作出承诺前，请向相关机构确认数值。
此计算器包含 8 个已解示例，答案来自独立来源。这些示例会在测试套件中运行，你也可以在此运行验证。
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