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Tia just purchased a house for 150,000. The 20-year mortgage has a 15% down payment, an interest rate of 3.75%. The yearly taxes are $1200. What are her monthly payments? HELPPPP!!!!!

User Shervon
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1 Answer

3 votes

9514 1404 393

Answer:

$855.93

Explanation:

The amount borrowed will be ...

$150,000 - 0.15×150,000 = 0.85×150,000 = $127,500

The amortization formula is used to find the monthly loan payment:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the principal borrowed, r is the annual interest rate, and t is the number of years. For the given values, we find the monthly loan payment to be ...

A = $127,500(0.0375/12)/(1 -(1 +0.0375/12)^(-12·20))

A = $755.93

The taxes are often paid as part of the monthly payment. The tax amount added to the loan payment will be ...

$1200/(12 months) = $100/month

So, the total monthly mortgage payment is ...

$755.93 +100.00 = $855.93

User Jasson
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