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Paying Off Loan Early Calculator

Early Payoff Formula:

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

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1. What is the Early Payoff Calculation?

The early payoff calculation determines how much you would need to pay today to completely pay off a loan, taking into account the present value of all future payments. This is useful when considering loan refinancing or early payoff options.

2. How Does the Calculator Work?

The calculator uses the early payoff formula:

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

Where:

Explanation: The formula calculates the present value of an ordinary annuity, representing what all future payments are worth today.

3. Importance of Early Payoff Calculation

Details: Knowing your exact payoff amount helps when negotiating with lenders, comparing refinance options, or planning to pay off debt early to save on interest.

4. Using the Calculator

Tips: Enter your regular monthly payment amount, the monthly interest rate (annual rate divided by 12), and the number of payments remaining. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include any prepayment penalties?
A: No, this calculation only determines the principal and interest payoff amount. Check your loan terms for any additional fees.

Q2: How do I convert annual rate to monthly?
A: Divide your annual percentage rate (APR) by 12 (for months) and convert to decimal (e.g., 6% APR = 0.06/12 = 0.005 monthly).

Q3: Why would my actual payoff amount be different?
A: Lenders may calculate interest differently (daily vs. monthly), and there may be additional fees or unpaid interest not accounted for here.

Q4: Can I use this for any type of loan?
A: This works best for standard amortizing loans (mortgages, auto loans). Credit cards or interest-only loans require different calculations.

Q5: How much can I save by paying early?
A: The savings equal the total interest you would have paid over the remaining life of the loan minus any prepayment fees.

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