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Loan Term Calculator

Determine exactly how long it will take to eliminate debt based on your desired monthly installment. See total duration, feasibility thresholds, and total interest obligations.

Total Repayment Term: 0
$

Current total amount owed

%

Contracted annual interest percentage

$

Monthly cash allocated toward debt

Total Repayment Term
0 mos

How to Use This Calculator

  1. Enter your total outstanding debt balance.
  2. Input the annual interest rate charged on the account.
  3. Specify the monthly payment amount you can afford.
  4. View the exact number of months and years needed to reach zero balance.

Formula & Calculation Methodology

n = -ln[1 - (P × r) / PMT] / ln(1 + r)

Solves the continuous logarithmic amortization identity to extract the exact number of monthly periods required for total payoff.

PCurrent principal balance
rMonthly periodic interest rate (Rate / 1200)
PMTDesired monthly cash installment
nResulting months to maturity

Worked Example

$30,000 loan at 7.0% interest with $600 monthly payment

loanPrincipal: 30000
annualRatePct: 7
desiredMonthlyPayment: 600
Result: 59 months (4.9 years) to payoff, $5,400.00 total interest paid

Frequently Asked Questions

What happens if my payment is too low to cover interest?↓

If your monthly payment is less than monthly interest accrued (P × r), the loan enters negative amortization where the balance grows every month.

How does increasing my payment by $50 impact my term?↓

Increasing your payment accelerates principal reduction exponentially, often shaving many months or years off loans in their early stages.

Can this be used for credit card payoff calculation?↓

Yes, entering your total credit card balance and fixed monthly payment models your exact payoff horizon without new purchases.

What if interest rate is 0%?↓

At 0% interest, the formula simplifies to dividing principal by the monthly payment (e.g. $12,000 / $500 = 24 months).

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Source Citation & Disclaimer

Informational tool only; not licensed tax, legal, or financial advice.