Final answer:
The nearest $100 of Andre's affordable home purchase price is $1,700.
Step-by-step explanation:
To calculate the home price that Andre Wheeler can afford, we will follow these steps:
- Determine Andre's annual mortgoge payment by subtracting the annual property taxes and insurance from the annual income deemed affordable for housing. Property taxes and insurance cost $300 per month, so $300 x 12 = $3,600 per year. Andre's affordable annual housing cost = $66,000 (Annual gross income) x 28% (standard recommended housing cost percentage) - $3,600 = $14,880.
- Calculate the maximum loan amount using the payment factor. Maximum loan = Affordable annual payment / Payment factor. Maximum loan = $14,880 / 10.14 = approximately $1,467.46 (rounded)
- Calculate the purchase price, considering the 15% down payment. Purchase price = Maximum loan amount / (1 - Down payment percentage). Purchase price = $1,467.46 / (1 - 0.15) = approximately $1,726.42.