Explanation:
To determine if the bank would lend Bill and Terry $210,000 to purchase their house, we need to calculate their debt-to-income (DTI) ratio, which is a measure of their total monthly debt payments compared to their monthly income. Banks typically use DTI as a factor in determining how much they will lend to borrowers.
First, we need to calculate their total monthly debt payments:
Monthly mortgage payment: $1,644
Monthly property taxes: $9,888 / 12 = $824
Monthly homeowner's insurance premium: $1,070 / 12 = $89
Car loan payment: $610
Credit card bill: $4,200
Total monthly debt payments = $1,644 + $824 + $89 + $610 + $4,200 = $7,367
Next, we need to calculate their monthly income:
Adjusted gross income: $175,988 / 12 = $14,666
Now we can calculate their DTI ratio:
DTI = Total monthly debt payments / Monthly income
DTI = $7,367 / $14,666
DTI = 0.502 or 50.2%
A DTI ratio of 50.2% is quite high, and many banks may be hesitant to lend to borrowers with such a high DTI. Generally, banks prefer borrowers to have a DTI ratio of 43% or lower.
Therefore, based on their current debt and income situation, it is unlikely that the bank would lend Bill and Terry $210,000 to purchase their house. They may need to consider reducing their debt payments or increasing their income to improve their chances of being approved for a mortgage loan.