Question

You can afford monthly payments of $3,100. Current mortgage rates are 3.45% for a 30-year fixed rate loan. You are required to make a 20% down payment and have the cash to do it. What price home can you afford? g

Answer 1

$868,331.25

Step-by-step explanation:

price of house = P

principal of loan = P x (1 - 20%) = 0.8P

using the present value of an annuity formula:

present value of the loan = monthly payment x annuity factor

monthly payment = $3,100

annuity factor (PV, 0.2875%, 360 periods) = 224.0854839

present value of the loan = $3,100 x 224.0854839 = $694,665 = 0.8P

total value of the house = P = $694,665 / 0.8 = $868,331.25