Home Back

Money Saving Expert Mortgages

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

Unit Converter ▲

Unit Converter ▼

From: To:

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, 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 required to fully amortize a loan over its term, accounting for compound interest.

3. Importance of Mortgage Calculation

Details: Accurate mortgage payment calculation is essential for financial planning, budgeting, and comparing different loan options to make informed borrowing decisions.

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 does PMT represent in the formula?
A: PMT represents the fixed monthly payment amount that includes both principal repayment and interest charges.

Q2: How is the interest rate converted for monthly calculation?
A: The annual interest rate is divided by 12 to get the monthly interest rate for compounding calculations.

Q3: Does this formula account for additional costs?
A: This formula calculates only the principal and interest payment. Additional costs like property taxes, insurance, and fees are not included.

Q4: What happens if I make extra payments?
A: Extra payments reduce the principal balance faster, which can shorten the loan term and reduce total interest paid.

Q5: Are there different types of mortgage calculations?
A: Yes, this formula is for fixed-rate mortgages. Adjustable-rate mortgages and interest-only mortgages use different calculation methods.

Money Saving Expert Mortgages Calculator© - All Rights Reserved 2025