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Mortgage Amortization Calculator

Mortgage Amortization Formula:

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

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1. What is Mortgage Amortization?

Mortgage amortization is the process of paying off a loan with regular payments over a specified period. Each payment covers both interest and principal, with the proportion shifting over time as the loan balance decreases.

2. How Does the Calculator Work?

The calculator uses the amortization formula:

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

Where:

Explanation: This formula calculates the fixed monthly payment required to fully amortize a loan over its term, accounting for both principal and interest components.

3. Importance of Monthly Payment Calculation

Details: Accurate monthly payment calculation is essential for budgeting, financial planning, and determining affordability when considering mortgage options or other loans.

4. Using the Calculator

Tips: Enter the principal amount in dollars, annual interest rate as a percentage, and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is included in the monthly payment?
A: The calculated payment includes principal and interest. Additional costs like property taxes, insurance, and PMI are not included.

Q2: How does interest rate affect the payment?
A: Higher interest rates result in higher monthly payments as more money goes toward interest rather than principal reduction.

Q3: What is the difference between 15-year and 30-year mortgages?
A: 15-year mortgages have higher monthly payments but much less total interest paid over the life of the loan compared to 30-year mortgages.

Q4: Can I make extra payments to pay off my mortgage faster?
A: Yes, making additional principal payments can significantly reduce the loan term and total interest paid.

Q5: Are there different types of amortization schedules?
A: While fixed-rate mortgages use standard amortization, other loan types may have different payment structures like interest-only or balloon payments.

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