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Money Saving Expert Mortgage Rate Calculator

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
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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. This formula is essential for understanding mortgage affordability and comparing different loan options.

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 needed to pay off both principal and interest over the specified period.

3. Importance of Mortgage Calculation

Details: Accurate mortgage calculation is crucial for financial planning, determining affordability, comparing loan offers, and understanding the long-term cost of home ownership.

4. Using the Calculator

Tips: Enter the loan amount in GBP, annual interest rate as a decimal (e.g., 0.05 for 5%), and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the interest rate divided by 12?
A: This converts the annual interest rate to a monthly rate, as mortgage payments are typically made monthly.

Q2: What's the difference between interest rate and APR?
A: The interest rate is the cost of borrowing the principal, while APR includes additional fees and costs, providing a more comprehensive view of the loan's cost.

Q3: How does loan term affect monthly payments?
A: Longer terms result in lower monthly payments but higher total interest paid over the life of the loan.

Q4: Are there other costs besides principal and interest?
A: Yes, mortgage payments often include property taxes, insurance, and possibly mortgage insurance, which are not included in this calculation.

Q5: Can I use this for other types of loans?
A: Yes, this formula works for any fixed-rate amortizing loan, including car loans and personal loans.

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