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Loan Solutions Mortgage Calculator

Mortgage Payment Formula:

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

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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 principal amount, interest rate, and loan duration to determine consistent payments.

2. How Does the Calculator Work?

The calculator uses the standard mortgage payment formula:

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

Where:

Explanation: The formula accounts for both principal repayment and interest charges, with the payment amount remaining constant throughout the loan term.

3. Importance of Mortgage Calculation

Details: Accurate mortgage calculation helps borrowers understand their financial commitments, compare loan options, and budget effectively for home ownership.

4. Using the Calculator

Tips: Enter the principal 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 property taxes and insurance?
A: No, this calculates only principal and interest. A complete monthly payment would include taxes, insurance, and possibly PMI.

Q2: How does a larger down payment affect payments?
A: A larger down payment reduces the principal amount (P), resulting in lower monthly payments.

Q3: What's the difference between 15-year and 30-year mortgages?
A: Shorter terms have higher monthly payments but pay less total interest. Longer terms have lower payments but higher total interest costs.

Q4: How does interest rate affect payments?
A: Higher rates increase monthly payments significantly. A 1% rate difference can change payments by $50-$100 per $100,000 borrowed.

Q5: Can I pay extra to reduce the loan term?
A: Yes, additional principal payments reduce the loan balance faster and can shorten the loan term, saving interest.

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