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.

$900 per year for 10 years at 12%.

$

$450 per year for 5 years at 6%.

$

$1,000 per year for 5 years at 0%.

$

Rework previous parts assuming they are annuities due.

Present value of $900 per year for 10 years at 12%: $

Present value of $450 per year for 5 years at 6%: $

Present value of $1,000 per year for 5 years at 0%: $