Find the future values of the following ordinary annuities:

a. FV of $400 each 6 months for 5 years at a nominal rate of 12 percent, compounded semiannually.

b. FV of $200 each 3 months for 5 years at a nominal rate of 12 percent, compounded quarterly.

c. The annuities described in parts a and b have the same amount of money paid into them during the 5-year period and both earn interest at the same nominal rate, yet the annuity in part b earns $101.60 more than the one in part a over the 5 years. Why does this occur?