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. $1,000 per year for 12 years at 4%. =

b. $ $500 per year for 6 years at 2%. =

c. $ $900 per year for 6 years at 0%. =

d. Rework previous parts assuming they are annuities due.

Present value of $1,000 per year for 12 years at 4%: = $

Present value of $500 per year for 6 years at 2%: = $

Present value of $900 per year for 6 years at 0%: = $