You are planning to buy a new house. You currently have $35,000 and your bank told you that you would need a 15% down payment plus an additional 4% in closing costs. If the house that you want to buy costs $250,000 and you can make a 7% annual return on your investment, determine the following:

a. When will you have enough money for the down payment and closing costs, assuming that the $35,000 is the only investment that you make?

b. You decide that you want to buy the house in 3 years. How much do you need to save every month to achieve your goal?

c. Assume that three years later the house still has the same price and that you can get a 15-year mortgage from your bank at a fixed rate of 4.5%:

1. What are the monthly payments on the loan?

2. How much will you have to pay the bank each year?

3. What is the total interest over the term of the loan?

4. How much do you pay on interest and principal the first monthly payment?

Given Information Money to Invest Home Price Downpayment % Closing Costs % Rate of Return Number of Years Until Purchase 35,000.00 250,000.00 15.00% 4.00% 7.00% 3.00 years 212,500.00 47,500.00 Loan Amount Total Amount Needed at Closing Time Until Having Amount Needed Monthly Savings Needed to Buy in 3 Years 4.51 years $1,438.15 15 4.50% $1,625.61 19,507.33 80,109.93 796.88 $828.74 ) Mortgage Term in Years Mortgage Rate (annual) Monthly Payment Total Annual Payment Amount Total Interest Over Life of Loan First Month's Interest First Month's Principal