You just received a bonus of $3,000. a. Calculate the future value of $ 3,000, given that it will be held in the bank for 8 years and earn an annual interest rate of 3 percent. b. Recalculate part (a ) using a compounding period that is (1) semiannual and (2) bimonthly. c. Recalculate parts (a ) and (b ) using an annual interest rate of 6 percent. d. Recalculate part (a ) using a time horizon of 16 years at an annual interest rate of 3 percent. e. What conclusions can you draw when you compare the answers in parts (c ) and (d ) with the answers in parts (a ) and (b )?