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Mortgage Calculator Money Saving Expert UK

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 mortgage loan over its term, including both principal and interest components.

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: This formula calculates the fixed monthly payment needed to pay off a mortgage loan over the specified term, accounting for compound interest.

3. Importance of Mortgage Calculation

Details: Accurate mortgage payment calculation is essential for budgeting, comparing loan offers, and understanding the long-term financial commitment of a mortgage.

4. Using the Calculator

Tips: Enter the loan amount 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: Does this calculation include additional costs?
A: No, this calculation only includes principal and interest. It does not include property taxes, insurance, or other fees that may be part of your total monthly payment.

Q2: What's the difference between interest rate and APR?
A: The interest rate is the cost of borrowing the principal. APR (Annual Percentage Rate) includes the interest rate plus other loan costs, providing a more complete picture of borrowing costs.

Q3: How does a longer loan term affect payments?
A: A longer loan term reduces monthly payments but increases the total interest paid over the life of the loan.

Q4: Can I calculate payments for different payment frequencies?
A: This calculator assumes monthly payments. For other frequencies (e.g., bi-weekly), the formula would need adjustment.

Q5: How accurate is this calculator?
A: This provides a good estimate of fixed-rate mortgage payments. Actual payments may vary slightly due to rounding practices of specific lenders.

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