When Jane and Patrick Baker were “house hunting” five years ago, the fixed rate on a 30- year mortgage was 6% APR (Nominal Interest Rate) with monthly compounding. After walking through many homes, they finally reached a consensus and decided to buy a $500,000 home. The couple decided to put 20% down payment and took the 30-year mortgage with monthly payments.   What is Jane and Patrick’s monthly mortgage payment? Construct an amortization schedule in excel for the loan. During the first 5 years, how much has the couple paid towards the mortgage? What proportion of this was applied toward interest? What is the balance on their loan today

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Conor is comparing two potential housing options. Conor plans to stay in the home for 4 years, after which he plans to move again. Conor earns 12% annually on his other investments. He determines the following information about each option: OPTION 1: Purchase a home • Purchase a $270,000 home with a 30-year fixed mortgage • Loan amount = $270,000 (100% financing) • Annual mortgage interest rate = 6.00% Monthly mortgage payments = $1,618.79 • Additional monthly costs (insurance, taxes, maintenance) = $350.00 • Real estate growth rate = 5% annually .

Marie and Danny Would like to buy a house for $220,000. The down payment for the mortgage is 30% of the price of the house. To earn the down payment, they invest $2500 a quarter at 6.2% compounded quarterly. They take a 30-year home mortgage for the rest of the price of the house at 7.3% compounded monthly. They make their regular monthly payments for 5 years, then decide to pay $2000 per month.   How much is the down payment? How long will it take Marie and Danny to earn the down payment if they invest $2500 a quarter at 6.2% compounded quarterly? How much is the loan for the mortgage? What is the regular monthly payment? What is the unpaid balance when they begin paying the $2000? How many payments of $2000 will it take to pay off the loan? Give the answer correct to wo decimal places. How much interest will they save by paying the loan this way? Use your answer from #6 to find.