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Mortgage Payoff Calculator by Tons of Concrete

Mortgage Payoff Formula:

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

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1. What is a Mortgage Payoff Calculator?

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

Purpose: It helps homeowners and real estate professionals understand the timeline for mortgage payoff under current payment terms.

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 periods are needed to amortize the loan given fixed payments and interest rate.

3. Importance of Mortgage Payoff Calculation

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

4. Using the Calculator

Tips: Enter your monthly payment, principal amount, and monthly interest rate (annual rate ÷ 12). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert annual rate to monthly?
A: Divide the annual percentage rate by 12 (e.g., 6% annual = 0.06/12 = 0.005 monthly).

Q2: Does this include taxes and insurance?
A: No, this calculates based on principal and interest only (P&I payment).

Q3: What if I make extra payments?
A: This calculator assumes fixed payments. Extra payments would require a different calculation.

Q4: Why does the result have decimal payments?
A: The calculation may result in partial payments, indicating you'd need a final smaller payment.

Q5: How accurate is this calculation?
A: It's mathematically precise for fixed-rate loans with constant payments.

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