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Months to Payoff
83
Months to Payoff vs Monthly Payment ($)
सूत्र
## How to Calculate Student Loan Payoff Time The payoff time depends on your balance, rate, and payment amount. ### Formula **Months = ceil(-log(1 - Balance x r / Payment) / log(1 + r))** Where r = monthly interest rate. Your payment must exceed the monthly interest charge, or the loan will never be paid off.
हल किया गया उदाहरण
A $28,000 balance at 5% interest with $400 monthly payments.
- 01Monthly rate = 5% / 12 = 0.004167
- 02Monthly interest = $28,000 x 0.004167 = $116.67
- 03Months = ceil(-log(1 - 28000 x 0.004167 / 400) / log(1.004167)) = 81 months
- 04Years = 81 / 12 = 6.75 years
- 05Total interest = $400 x 81 - $28,000 = $4,400
अक्सर पूछे जाने वाले प्रश्न
What if my payment only covers interest?
If your payment equals or is less than the monthly interest charge, you will never pay off the loan. Increase payments above the interest amount.
How much does an extra $100/month help?
Extra payments go directly to principal, significantly reducing payoff time and total interest. Run the calculator with different amounts to compare.
Should I pay off loans early?
Generally yes, unless you have higher-interest debt or can earn more by investing. There is no prepayment penalty on federal student loans.