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Mortgage Refinance Payoff Calculator Zillow

Payoff Time Formula:

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

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1. What is a Mortgage Refinance Payoff Calculator?

Definition: This calculator determines how long it will take to pay off a mortgage based on your monthly payment, principal amount, and interest rate.

Purpose: It helps homeowners understand when their mortgage will be fully paid off, especially useful when considering refinancing options.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates how many monthly payments are needed to fully amortize the loan based on the given parameters.

3. Importance of Payoff Calculation

Details: Understanding your payoff timeline helps with financial planning, comparing refinance options, and determining if extra payments could save you money.

4. Using the Calculator

Tips:

5. Frequently Asked Questions (FAQ)

Q1: How do I find my monthly interest rate?
A: Divide your annual interest rate by 12. For example, 6% APR becomes 0.06/12 = 0.005 monthly rate.

Q2: Does this include taxes and insurance?
A: No, use only the principal and interest portion of your payment for accurate results.

Q3: What if I make extra payments?
A: This calculator assumes fixed regular payments. Extra payments would shorten the payoff time.

Q4: Why does the formula use logarithms?
A: Logarithms help solve for time in compound interest calculations, which is how mortgages work.

Q5: How accurate is this calculator?
A: It provides a theoretical payoff time assuming no changes to the terms. Actual payoff may vary with rate changes or payment adjustments.

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