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Short Term Mortgage Payment Calculator

Mortgage Payment Formula:

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

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%
months

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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 both principal and interest payments.

2. How Does the Calculator Work?

The calculator uses the standard mortgage payment formula:

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

Where:

Explanation: The formula calculates the fixed payment that pays off the loan exactly over the term, with each payment covering both interest and principal.

3. Importance of Mortgage Calculation

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

4. Using the Calculator

Tips: Enter the principal amount in USD, annual interest rate in percentage, and loan term in months. 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. Your actual payment may include escrow for taxes and insurance.

Q2: How does loan term affect payments?
A: Shorter terms mean higher monthly payments but less total interest paid over the life of the loan.

Q3: What's the difference between APR and interest rate?
A: The interest rate is the cost of borrowing, while APR includes fees and other loan costs.

Q4: Can I use this for other types of loans?
A: Yes, this formula works for any fixed-rate, fully amortizing loan (car loans, personal loans, etc.).

Q5: How can I pay less interest overall?
A: Make additional principal payments when possible to reduce the loan balance faster.

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