Student loan calculator

Student loan calculator: payment, total interest and payoff date on the federal standard, tiered or extended plan or a custom term, with extra payments.

Cập nhật 28 tháng 9, 2026Ví dụ đã kiểm tra: 8

Monthly payment

Số chữ số thập phân: 2; Gần nhất; nếu cách đều thì về chữ số chẵn

Plan term: 10years
Total interest: $12,732.90
Total of all payments: $47,732.90
Number of payments: 120
Last payment: Monday, 29 September 2036

$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.

Total interest and monthly payment by plan

Balance owed

Repayment schedule Số hàng: 120

No.	Date	Khoản trả	Gốc	Lãi	Dư nợ
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

Cách tính S

Plan term
$n = 10 \times 12 = 120\ \text{payments}$
Monthly rate
$r = \frac{6.52}{1200} = 0.00543333$
Monthly payment
$M = \frac{35{,}000 \times r\,(1+r)^{120}}{(1+r)^{120}-1} = 397.77$
Total interest
$\text{interest} = 47{,}732.90 - 35{,}000 = 12{,}732.90$
All payments minus the balance: 120 payments, the last in September 2036.

Giới thiệu Student loan calculator

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.

Ví dụ có lời giải

35,000 at 6.52% on the 10-year standard plan

Loan balance: 35,000
Interest rate: 6.52%
Repayment plan: Standard, 10 years
Extra payment every month: 0
First payment date: 2026-11-01

Monthly payment: 397.77
Total interest: 12,732.90
Number of payments: 120
Last payment: 2036-10-01

Nguồn đối chiếu: Python decimal (prec 50) annuity formula at 6.52%/12 over 120 months; interest = 120 × payment − 35,000

Tiered standard: 60,000 gets 20 years

Loan balance: 60,000
Interest rate: 8.07%
Repayment plan: Tiered standard, 10 to 25 years
Extra payment every month: 0

Plan term: 20 years
Monthly payment: 504.48
Total interest: 61,075.46

Nguồn đối chiếu: 34 CFR 685.208(c)(1)(iii)(C): 50,000 to under 100,000 → 20 years; payment from Python decimal annuity formula

Tiered standard: 24,999.99 stays in the 10-year band

Loan balance: 24,999.99
Interest rate: 6.52%
Repayment plan: Tiered standard, 10 to 25 years
Extra payment every month: 0

Plan term: 10 years
Monthly payment: 284.12
Total interest: 9,094.93

Nguồn đối chiếu: 34 CFR 685.208(c)(1)(iii)(A): under 25,000 → 10 years; Python decimal annuity formula

Tiered standard: 100,000 PLUS balance gets 25 years

Loan balance: 100,000
Interest rate: 9.07%
Repayment plan: Tiered standard, 10 to 25 years
Extra payment every month: 0

Plan term: 25 years
Monthly payment: 844.00
Total interest: 153,198.52

Nguồn đối chiếu: 34 CFR 685.208(c)(1)(iii)(D): 100,000 or more → 25 years; Python decimal annuity formula

Câu hỏi

What is the standard repayment plan for federal student loans?

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.

How does the tiered standard plan work?

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.

Who can use the extended repayment plan?

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.

What are the federal student loan interest rates for 2026–27?

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)).

Can I pay off federal student loans early?

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.

“Student loan calculator” chính xác đến mức nào?

Độ chính xác phụ thuộc vào dữ liệu nhập và giả định của phương pháp. Phép tính thập phân dùng 50 chữ số có nghĩa, nhưng ước lượng, phương pháp số và dữ liệu nguồn có thể kém chính xác hơn; làm tròn khi hiển thị không loại bỏ các giới hạn đó. Ví dụ có lời giải đã đối chiếu với nguồn độc lập: 8. Ví dụ, “35,000 at 6.52% on the 10-year standard plan” được kiểm tra bằng Python decimal (prec 50) annuity formula at 6.52%/12 over 120 months; interest = 120 × payment − 35,000.

Phương pháp này lấy từ đâu?

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).

Về công cụ tính này

M = \max\!\left(\frac{B\,r\,(1+r)^n}{(1+r)^n - 1},\ \$50\right),\qquad r = \frac{\text{rate}}{1200},\quad n = 12 \times \text{plan years}

Nguồn

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