2. Vivien wants to buy a house. The house she wants is listed for $300,000, and she wants to avoid PMI insurance. She can get a fixed rate mortgage at 4.25% for 30 years. Dont worry about taxes and insurance for any of these questions, just keep in mind that those would need to be considered as well. a. What down payment will she need? (show your work) b. If Vivian makes her down payment and takes out the loan described, what will be her monthly payment? Price 300,000 Down Payment 30,000 PV 270,000 I 5.25/12 N 360 FV 0 PMT 1,490.95 c. If Vivian makes her down payment and takes out the loan described, what will be the total cost of the house? (show your work) d. What would be the total cost of the house if she took out a 15-year mortgage at 3.125%? Price Down Payment PV I N FV PMT (PMTx12) x 15 years, plus the Down Payment = Total Cost e. What if Vivien can only pay a 10% down payment, what would her first monthly payment be for the 30 year mortgage at 4.25%? (For this example the PMI insurance cost is 1% of the loan amount per year.) Price Down Payment PV I N FV PMT PMI PMT + PMI = First Monthly Payment