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Martin Lewis Mortgage Payment Calculator

Mortgage Payment Formula:

\[ PMT = PV \times \frac{r}{1 - (1 + r)^{-n}} \]

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1. What is the Mortgage Payment Formula?

The mortgage payment formula calculates the fixed monthly payment required to fully amortize a loan over its term. This is the standard formula used by lenders to determine your monthly mortgage payments.

2. How Does the Calculator Work?

The calculator uses the mortgage payment formula:

\[ PMT = PV \times \frac{r}{1 - (1 + r)^{-n}} \]

Where:

Explanation: The formula accounts for both principal repayment and interest charges over the life of the loan.

3. Importance of Mortgage Calculation

Details: Understanding your mortgage payments helps with budgeting, comparing loan offers, and planning your finances. Even small differences in interest rates can significantly impact your total repayment amount.

4. Using the Calculator

Tips: Enter the loan amount in GBP, the monthly interest rate as a decimal (e.g., 0.005 for 0.5%), and the total number of payments. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert annual rate to monthly?
A: Divide the annual percentage rate by 12 (months) and convert from percentage to decimal (e.g., 6% annual = 0.06/12 = 0.005 monthly).

Q2: What's included in a mortgage payment?
A: This calculates principal and interest only. Your actual payment may include taxes, insurance, and other escrow items.

Q3: How does loan term affect payments?
A: Longer terms reduce monthly payments but increase total interest paid. Shorter terms have higher payments but lower total cost.

Q4: What about adjustable rate mortgages?
A: This calculator assumes a fixed rate. For ARMs, you'd need to recalculate when rates change.

Q5: How accurate is this calculator?
A: It provides precise calculations for fixed-rate loans, but actual lender calculations may include additional factors.

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