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Home Equity Loan Payoff Calculator

Home Equity Loan Payoff Formula:

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

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1. What is the Home Equity Loan Payoff Calculator?

The Home Equity Loan Payoff Calculator determines how long it will take to pay off a home equity loan based on your monthly payment amount, principal, and interest rate.

2. How Does the Calculator Work?

The calculator uses the home equity loan payoff formula:

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

Where:

Explanation: The formula calculates the time required to pay off a loan by determining how many monthly payments are needed to reduce the principal to zero, accounting for interest.

3. Importance of Payoff Time Calculation

Details: Knowing your payoff time helps with financial planning, comparing loan options, and understanding the long-term cost of borrowing against your home equity.

4. Using the Calculator

Tips: Enter your actual monthly payment, the total loan amount, and the monthly interest rate (annual rate divided by 12). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert annual interest rate to monthly?
A: Divide the annual percentage rate (APR) by 12. For example, 6% APR becomes 0.06/12 = 0.005 monthly rate.

Q2: What if I make extra payments?
A: Extra payments will reduce payoff time. This calculator assumes fixed regular payments.

Q3: Why does payoff time matter?
A: Shorter payoff means less interest paid overall but higher monthly payments. Longer payoff spreads costs but increases total interest.

Q4: What's the difference between home equity loan and HELOC?
A: Home equity loans have fixed terms and payments, while HELOCs have variable rates and flexible payment options.

Q5: Can I use this for other types of loans?
A: This formula works for any fixed-rate amortizing loan, including mortgages and auto loans.

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