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# Mortgage Calculator

Calculate your monthly mortgage payments and total interest paid with our easy-to-use mortgage calculator. Simply enter your home price, down payment, loan term, and interest rate, and get instant results. Visualize your payments with interactive bar graphs, and make informed decisions about your home financing. Try our mortgage calculator today and take the first step toward owning your dream home.

# Mortgage Calculator

Monthly Payment:
\$0.00
Total Interest Paid:
\$0.00

When you take out a mortgage to buy a home, you're essentially borrowing money from a lender to pay for the property. The amount you borrow, also known as the mortgage principal, is determined by a number of factors, including the home price, down payment, loan term, and interest rate.
To calculate the mortgage principal, you'll first need to subtract your down payment from the home price to determine the amount you need to borrow. For example, if the home price is \$300,000 and your down payment is \$60,000, your mortgage principal would be \$240,000.

Next, you'll need to factor in the interest rate and loan term to determine your monthly payment amount. This can be done using a formula called the amortization formula, which takes into account the loan amount, interest rate, and loan term to calculate the fixed monthly payment required to pay off the loan over the specified period.

The basic formula for calculating the monthly mortgage payment is:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

Where:
M = monthly payment
P = mortgage principal
i = monthly interest rate (interest rate divided by 12)
n = total number of payments (loan term in months)

Using the example above, let's say the interest rate on your mortgage is 4% and the loan term is 30 years (or 360 months). To calculate your monthly payment, you would plug in the numbers as follows:

M = \$240,000 [ 0.00333(1 + 0.00333)^360 ] / [ (1 + 0.00333)^360 – 1]

M = \$1,146.57

This means that your monthly mortgage payment would be \$1,146.57 for the next 30 years, assuming the interest rate and other factors remain constant.

Overall, the formula for calculating mortgage amount involves determining the principal amount, interest rate, and loan term, and using the amortization formula to calculate the fixed monthly payment required to pay off the loan over the specified period. By understanding these calculations, you can make informed decisions about your home financing options and ensure that you're getting the best deal possible.