Payment Time Equation:
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This calculator estimates how long it will take to pay off a credit card balance when making fixed monthly payments, accounting for interest charges. It uses the logarithmic formula to calculate the exact time required.
The calculator uses the following equation:
Where:
Explanation: The equation calculates the time required to pay off a balance when each payment is greater than the monthly interest charge, causing the balance to decrease over time.
Details: Understanding payoff time helps consumers make informed decisions about credit card use, payment amounts, and debt management strategies.
Tips: Enter your current balance, planned monthly payment, and annual percentage rate (APR). The calculator will show how long it will take to pay off the debt.
Q1: Why does my balance never decrease?
A: If your monthly payment is less than the interest charge (P × R), your balance will grow despite making payments.
Q2: How can I pay off my card faster?
A: Increase your monthly payment amount. Even small increases can significantly reduce payoff time.
Q3: Does this account for minimum payments?
A: No, this calculates fixed payments. Minimum payments typically start at 1-3% of balance plus interest.
Q4: What if I make additional payments?
A: Extra payments will reduce payoff time further. This calculator assumes consistent fixed payments.
Q5: How accurate is this calculation?
A: It's mathematically exact for fixed payments and interest rates. Actual results may vary if rates change.