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Loan Payoff Calculator

Loan Payoff Formula:

\[ RB = PMT \times \frac{1 - (1 + r)^{-m}}{r} \]

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1. What is the Loan Payoff Calculation?

The loan payoff calculation determines the remaining balance (RB) needed to fully pay off a loan, based on the regular payment amount (PMT), interest rate (r), and number of remaining payment periods (m).

2. How Does the Calculator Work?

The calculator uses the loan payoff formula:

\[ RB = PMT \times \frac{1 - (1 + r)^{-m}}{r} \]

Where:

Explanation: The formula calculates the present value of the remaining loan payments, accounting for the time value of money through the interest rate.

3. Importance of Payoff Calculation

Details: Knowing your payoff amount is essential when considering early loan repayment, refinancing options, or assessing your total debt obligations.

4. Using the Calculator

Tips: Enter your regular payment amount in dollars, monthly interest rate as a decimal (e.g., 0.005 for 0.5%), and the number of remaining payments. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: Does this work for any type of loan?
A: This formula works for standard amortizing loans (mortgages, auto loans, personal loans) with fixed payments and interest rates.

Q3: Why is my payoff amount different from my remaining principal?
A: The payoff amount may include accrued interest and any prepayment penalties, while remaining principal is just the unpaid loan amount.

Q4: How often should I check my payoff amount?
A: Check whenever considering early repayment or refinancing, or at least annually to track your debt reduction progress.

Q5: Can I use this for credit card payoff?
A: This formula isn't ideal for credit cards as they typically have variable rates and minimum payments that don't fully amortize the debt.

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