4. You are trying to save to buy a new $175000 Ferrari. You have $35000 today that can be invested at your bank. The bank pays 2.9% annual interest on its accounts. How long will it be before you have enough to buy the car? 5. You have just received notification that you have won the $1 million first prize in the state lottery. However, the prize will be awarded on your 100th birthday (assuming you are around to collect), 80 years from now. What is the present value of your wind fall if the appropriate discount rate is 8.45% ? 6. Your coin collection contains fifty 1952 US silver dollars. If your American grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2063, assuming they appreciate at an annual rate of 4.8%