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Loan Payoff Calculator

Loan Payoff Formula:

\[ \text{Months} = \frac{\log(1 + \frac{\text{Balance} \times r}{\text{PMT}})}{\log(1 + r)} \]

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1. What is the Loan Payoff Calculation?

The loan payoff calculation determines how many months it will take to fully repay a loan given the current balance, interest rate, and monthly payment amount. This helps borrowers understand their repayment timeline.

2. How Does the Calculator Work?

The calculator uses the loan payoff formula:

\[ \text{Months} = \frac{\log(1 + \frac{\text{Balance} \times r}{\text{PMT}})}{\log(1 + r)} \]

Where:

Explanation: The formula calculates the time required to pay off a loan by considering the relationship between the loan balance, interest rate, and regular payments.

3. Importance of Loan Payoff Calculation

Details: Understanding your loan payoff timeline helps with financial planning, budgeting, and evaluating the impact of making extra payments.

4. Using the Calculator

Tips: Enter the current loan balance in USD, monthly interest rate as a decimal (e.g., 0.005 for 0.5%), and your monthly payment amount in USD. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How can I pay off my loan faster?
A: Making larger monthly payments or additional principal payments will reduce your payoff time and total interest paid.

Q2: What if my monthly payment doesn't cover the interest?
A: If your payment is less than the accrued interest, your loan balance will grow (negative amortization), and you'll never pay it off.

Q3: How does the interest rate affect payoff time?
A: Higher interest rates increase the payoff time for a given payment amount, as more of each payment goes toward interest rather than principal.

Q4: Can I use this for credit card debt?
A: Yes, if your credit card has a fixed interest rate and you're making fixed monthly payments.

Q5: What's the difference between monthly and annual rate?
A: The monthly rate is the annual rate divided by 12. Make sure to use the monthly rate in this calculator.

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