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Calculating Home Loan Amount

Home Loan Amount Formula:

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

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1. What is the Home Loan Amount Calculation?

The home loan amount calculation determines the maximum loan you can afford based on your desired monthly payment, interest rate, and loan term. This helps in financial planning when purchasing a home.

2. How Does the Calculator Work?

The calculator uses the present value of an annuity formula:

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

Where:

Explanation: The formula calculates the present value of a series of future payments, discounted by the interest rate.

3. Importance of Loan Amount Calculation

Details: Knowing your maximum affordable loan amount helps set realistic home price expectations and ensures your mortgage payments fit within your budget.

4. Using the Calculator

Tips: Enter your comfortable monthly payment, the monthly interest rate (annual rate ÷ 12), and the total number of monthly payments (years × 12). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is this different from a mortgage calculator?
A: This works in reverse - instead of calculating payments from loan amount, it calculates loan amount from desired payment.

Q2: What's included in the monthly payment?
A: This calculates principal and interest only. Your actual payment may include taxes, insurance, and PMI.

Q3: 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).

Q4: What's a typical loan term?
A: Most home loans are 15 or 30 years (180 or 360 monthly payments).

Q5: Does this account for variable rates?
A: No, this assumes a fixed interest rate for the entire loan term.

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