Find the future values of the following ordinary annuities:
a. FV of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually
b. FV of $200 paid each 3 months for 5 years at a nominal rate of 12% compounded quarterly
c. These annuities receive the same amount of cash during the 5-year period and earn interest at the same nominal rate, yet the annuity in Part b ends up larger than the one in Part a. Why does this occur?