Suppose you receive $160 at the end of each year for the next three years. a. If the interest rate is 10%, what is the present value of these cash flows? b. What is the future value in three years of the present value you computed in (a)? c. Suppose you deposit the cash flows in a bank account that pays. 10% interest per year. What is the balance in the account at the end of each of the next three years (after your deposit is made)? How does the final bank balance compare with your answer in (b)? You want to endow a scholarship that will pay $5,000 per year forever, starting one year from now. If the school's endowment discount rate is 4%, what amount must you donate to endow the scholarship? How would your answer change if you endow it now, but it makes the first award to a student 10 years from today? In the first case, the amount you must donate today is $ (Round to the nearest cent.) Your grandmother has been putting $2,000 into a savings account on every birthday since your first (that is, when you tumed one). The account pays an interest rate of 5%. How much money lyill be in the account immediately after your grandmother makes the deposit on your 18 th birthday The amount in the account upon your 18 th birthday is $ (Round to the nearest dollar.) Assume that your parents wanted to have $120,000 saved for college by your 18 th birthday and they started saving on your first birthday. They saved the same amount each year on your birthday and earned 12.0% per year on their investments. a. How much would they have to save each year to reach their goal? b. If they think you will take five years instead of four to graduate and decide to have $160,000 saved just in case, how much would they have to save each year to reach their new goal