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Money Saving Expert Mortgage Advice Calculator

Mortgage Payment Formula:

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

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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 repay a loan over a specified term. This formula accounts for both principal and interest payments, providing a consistent payment amount throughout the loan term.

2. How Does the Calculator Work?

The calculator uses the mortgage payment formula:

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

Where:

Explanation: The formula calculates the fixed monthly payment needed to fully amortize a loan over its term, accounting for compound interest.

3. Importance of Mortgage Calculation

Details: Accurate mortgage calculation helps borrowers understand their financial commitments, compare different loan offers, and plan their budgets effectively for home ownership.

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

Q2: How does interest rate affect payments?
A: Higher interest rates significantly increase monthly payments and total loan cost. Even a small rate difference can have a substantial impact over the loan term.

Q3: What is loan amortization?
A: Amortization is the process of paying off debt through regular payments that cover both principal and interest, with interest portion decreasing over time.

Q4: Can I make extra payments?
A: Most mortgages allow extra payments which reduce the principal faster and can shorten the loan term, saving significant interest costs.

Q5: What are typical mortgage terms?
A: Common terms are 15, 20, 25, or 30 years. Shorter terms have higher monthly payments but lower total interest costs.

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