A couple wants to purchase a $170,000 house, and they have enough saved for a 5% down payment and money for other closing costs. The bank is offering a 30-year mortgage at 5.35% interest, compounded monthly. The couple has an annual after-tax income of $85,000 and other debts totaling $850 per month. Because their down payment is less than 20%, they are required to pay for private mortgage insurance, which costs 1% of the loan amount each year.(a) If the maximum debt-to-income ratio (total monthly debt divided by after-tax monthly income) is 43%, can the couple afford to purchase the home? (b) If the couple lives in the house for 30 years, what is the total amount paid for the house, including down payment, principal, interest, and private mortgage insurance?
A couple wants to purchase a $170,000 house, and they have enough saved for a 5% down payment and money for other closing costs. The bank is offering a 30-year mortgage at 5.35% interest, compounded monthly. The couple has an annual after-tax income of $85,000 and other debts totaling $850 per month. Because their down payment is less than 20%, they are required to pay for private mortgage insurance, which costs 1% of the loan amount each year.(a) If the maximum debt-to-income ratio (total monthly debt divided by after-tax monthly income) is 43%, can the couple afford to purchase the home? (b) If the couple lives in the house for 30 years, what is the total amount paid for the house, including down payment, principal, interest, and private mortgage insurance?
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