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Mortgage Payment Calculator

Mortgage Payment Formula:

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

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1. What is the Mortgage Payment Formula?

The mortgage payment formula calculates the fixed monthly payment required to fully amortize a loan over its term. It accounts for the loan amount, interest rate, and loan duration.

2. How Does the Calculator Work?

The calculator uses the standard mortgage payment formula:

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

Where:

Explanation: The formula calculates the fixed payment needed to pay off the loan with interest over the specified term.

3. Importance of Mortgage Calculation

Details: Understanding your mortgage payment helps with budgeting, comparing loan options, and making informed financial decisions about home purchases.

4. Using the Calculator

Tips: Enter the loan amount in USD, annual interest rate as a percentage (e.g., 3.5 for 3.5%), and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include taxes and insurance?
A: No, this calculates only principal and interest. Actual mortgage payments often include escrow for taxes and insurance.

Q2: How does a higher interest rate affect payments?
A: Higher rates increase monthly payments significantly. A 1% rate increase on a $300,000 loan adds about $180 to monthly payments.

Q3: What's better - shorter term or lower rate?
A: Shorter terms build equity faster but have higher payments. Compare total interest paid for both options.

Q4: How much can I borrow?
A: Lenders typically limit payments to 28-31% of gross monthly income. Use this calculator to work backward from your budget.

Q5: Are there prepayment penalties?
A: Some loans charge fees for early payoff. Check your loan terms if you plan to make extra payments.

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