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a. FV of $500 paid each 6 months for 5 years at a nominal rate of 15% compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. FV of $250 paid each 3 months for 5 years at a nominal rate of 15% compounded quarterly. Do not round intermediate calculations. Round your answer to the nearest cent. $ 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? FUTURE VALUE OF AN ANNUITY Find the future values of the following ordinary annuities: a. FV of $400 paid each 6 months for 5 years at a ninal rate of 12% compounded semiannually b. FV of $200 paid each 3 months for 5 years at a rominal 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