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Mortgage Payoff Calculator Current Balance

Payoff Time Formula:

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

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1. What is a Mortgage Payoff Calculator with Current Balance?

Definition: This calculator determines how many payments are needed to pay off a mortgage based on current balance, monthly payment, and interest rate.

Purpose: It helps homeowners understand their remaining mortgage timeline and plan for early payoff strategies.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates how many periods are needed to amortize the current balance given the fixed payment amount and interest rate.

3. Importance of Payoff Calculation

Details: Knowing your payoff timeline helps with financial planning, refinancing decisions, and understanding the impact of extra payments.

4. Using the Calculator

Tips: Enter your current monthly payment, remaining balance, and monthly interest rate (annual rate ÷ 12). Ensure M > (B × r) for valid results.

5. Frequently Asked Questions (FAQ)

Q1: How do I find my monthly interest rate?
A: Divide your annual interest rate by 12 (e.g., 6% annual = 0.06/12 = 0.005 monthly).

Q2: Why does the calculator show an error?
A: This happens when monthly payment ≤ interest due (M ≤ B×r), meaning you'll never pay off the loan.

Q3: Does this account for extra payments?
A: No, this calculates payoff time for your current fixed payment. Extra payments would shorten the term.

Q4: Can I use this for other loans?
A: Yes, it works for any fixed-rate amortizing loan (car loans, personal loans, etc.).

Q5: How accurate is this calculation?
A: It's mathematically precise for fixed-rate loans, but doesn't account for fees or payment changes.

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