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Mortgage Payment Formula:

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

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1. What is the Mortgage Payment Formula?

The mortgage payment formula calculates the fixed monthly payment required to repay a loan over a specified term. It's based on the loan amount, interest rate, and loan duration, providing a consistent payment amount throughout the loan term.

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 calculates the fixed monthly payment needed to fully amortize a loan over its term, accounting for both principal and interest components.

3. Importance of Mortgage Calculation

Details: Accurate mortgage calculations are essential for budgeting, comparing loan offers, understanding total borrowing costs, and making informed financial decisions when purchasing property.

4. Using the Calculator

Tips: Enter the loan amount in GBP, annual interest rate as a decimal (e.g., 0.035 for 3.5%), and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: 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 cost comparison.

Q2: How does loan term affect monthly payments?
A: Longer terms result in lower monthly payments but higher total interest costs. Shorter terms have higher monthly payments but lower overall interest.

Q3: What are typical mortgage terms?
A: Common mortgage terms range from 15-30 years, though some lenders offer terms from 5-40 years depending on the borrower's circumstances.

Q4: Can I make extra payments to reduce the term?
A: Many mortgages allow overpayments, which can reduce the loan term and total interest paid. Check your mortgage terms for any restrictions.

Q5: How do fixed vs variable rates affect calculations?
A: Fixed rates maintain the same interest throughout the term, while variable rates can change, making long-term calculations less predictable.

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