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Find the present values of these ordinary annuities. Discounting occurs once a year. Do not round intermediate calculations. Round your answers to the nearest cent. a. $400 per year for 16 years at 12%. $ b. $200 per year for 8 years at 6%. $ c. $900 per year for 8 years at 0%. $ d. Rework previous parts assuming they are annuities due. Present value of $400 per year for 16 years at 12% : $ Present value of $200 per year for 8 years at 6%:$ Present value of $900 per year for 8 years at 0% : $ Find the future values of the following ordinary annuities: a. FV of $800 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 $400 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 th annuity in part b ends up larger than the one in part a. Why does this occur