(Compound interest with non-annual periods) You just received a bonus of $2000. a.Calculate the future value of $2000, given that it will be held in the bank for 10 years and earn an annual interest rate of 4 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 8 percent. d.Recalculate part (a) using a time horizon of 20 years at an annual interest rate of 4 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)? a.What is the future value of $2000 in a bank account for 10 years at an annual interest rate of 4 percent?