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Debt Paydown Calculator

Debt Paydown Formula:

\[ n = \frac{-\log(1 - (r \times P / PMT))}{\log(1+r)} \]

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1. What is the Debt Paydown Calculator?

The Debt Paydown Calculator estimates how many months it will take to pay off a debt based on your principal amount, interest rate, and monthly payment. It helps you plan your debt repayment strategy.

2. How Does the Calculator Work?

The calculator uses the debt payoff formula:

\[ n = \frac{-\log(1 - (r \times P / PMT))}{\log(1+r)} \]

Where:

Explanation: The equation calculates how many periods (months) are needed to pay off a debt with fixed monthly payments and a constant interest rate.

3. Importance of Payoff Time Calculation

Details: Knowing your payoff time helps with financial planning, comparing repayment strategies, and understanding the true cost of debt.

4. Using the Calculator

Tips: Enter the principal amount in dollars, monthly interest rate as a decimal (e.g., 0.01 for 1%), and your planned monthly payment. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if my payment is too low to pay off the debt?
A: The calculator will show an error if your payment doesn't cover the interest (payment ≤ r × P), meaning you'll never pay off the debt.

Q2: How accurate is this calculator?
A: It assumes fixed interest rates and consistent payments. Actual payoff time may vary if rates change or you make additional payments.

Q3: Should I include fees in the principal?
A: Yes, include all fees and charges in the principal amount for accurate calculations.

Q4: How can I pay off debt faster?
A: Increase monthly payments, make biweekly payments, or pay lump sums when possible.

Q5: Does this work for credit cards?
A: Yes, if you stop using the card and make consistent payments.

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