Your grandmother just gave you $5 comma 000. You'd like to see what it might grow to if you invest it.

a. Calculate the future value of $5 comma 000, given that it will be invested for 5 years at an annual interest rate of 6%.

b. Recalculate part (a) using a compounding period that is semiannual (every six months).

c. Now let's look at what might happen if you can invest the money at an annual rate of 12% rate rather than a 6% rate; recalculate parts (a) and (b) for an annual interest rate of 12%.

d. Now let's see what might happen if you invest the money for 12 years rather than 5 years; recalculate part (a) using a time horizon of 12 years (annual interest rate is still 6%).