(Related to Checkpoint 5.3) (Compound interest with non-annual periods) Your grandmother just gave you $9,000. a. Calculate the future value of $9,000, given that it will be invested for 9 years at an annual interest rate of 7 percent. b. Recalculate part (a) using a compounding period that is (1) semiannual and (2) bimonthly. c. Now let's look at what might happen if you can invest the money at a rate of 14 percent rather than 7 percent rate; recalculate parts (a) and (b) for an annual interest rate of 14 percent. d. Now let's see what might happen if you invest the money for 18 years rather than 9 years; recalculate part (a) using time horizon of 18 years (annual interest rate is still 7 percent). e. With respect to the changes in the stated interest rate and length of time the money is invested in parts (c) and (d), what conclusions can you draw