Q1. Babu is saving for his sons college tuition. His son is currently 11 years old and will begin college in seven years. Babu has an index fund investment worth $7,500 that is earning 9.5 percent annually. Total expenses at the Black Hills State University, where his son says he plans to go, currently total $15,000 per year, but are expected to grow at roughly 6 percent each year. Babu plans to invest in a mutual fund that will earn 11 percent annually to make up the difference between the college expenses and his current savings. In total, Babu will make seven equal investments with the first starting today and with the last being made a year before his son begins college. (12 points)

1. What will be the present value of the four years of college expenses at the time that Babus son starts college? Assume a discount rate of 5.5 percent.

2. What will be the value of the index mutual fund when his son just starts college?

3. What is the amount that Babu will have to have saved when his son turns 18 if Babu plans to cover all of his sons college expenses?

4. How much will Babu have to invest every year in order to have enough funds to cover all his sons expense?