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Mortgage Calculator Money Helper

Mortgage Payment Formula:

\[ PMT = P \times \frac{r}{12} \times \frac{(1 + \frac{r}{12})^{12 \times t}}{(1 + \frac{r}{12})^{12 \times t} - 1} \]

GBP
%
years

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1. What is the Mortgage Payment Formula?

The mortgage payment formula calculates the fixed monthly payment required to fully repay a loan over its term, including both principal and interest components. This formula is essential for financial planning and budgeting.

2. How Does the Calculator Work?

The calculator uses the mortgage payment formula:

\[ PMT = P \times \frac{r}{12} \times \frac{(1 + \frac{r}{12})^{12 \times t}}{(1 + \frac{r}{12})^{12 \times t} - 1} \]

Where:

Explanation: The formula accounts for compound interest over the loan term, calculating the fixed payment that covers both interest and principal repayment each month.

3. Importance of Mortgage Calculation

Details: Accurate mortgage calculation is crucial for financial planning, budgeting, comparing loan offers, and understanding the total cost of borrowing over the loan term.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does PMT represent in the formula?
A: PMT represents the fixed monthly payment amount that includes both principal repayment and interest charges.

Q2: How is the annual interest rate converted?
A: The annual rate is divided by 12 to get the monthly rate and converted from percentage to decimal form (e.g., 5% becomes 0.05).

Q3: Does this calculation include taxes and insurance?
A: No, this calculation only includes principal and interest. Additional costs like property taxes and insurance are separate.

Q4: What if I want to make extra payments?
A: This calculator shows the standard payment. Extra payments would reduce the principal faster and shorten the loan term.

Q5: Are there different types of mortgage calculations?
A: Yes, this formula is for fixed-rate mortgages. Adjustable-rate mortgages have different calculation methods.

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