Problem 5-15 Present value of an annuity

Find the present values of these ordinary annuities. Discounting occurs once a year. Round your answers to the nearest cent.

$900 per year for 16 years at 12%.

$

$450 per year for 8 years at 6%.

$

$1,000 per year for 2 years at 0%.

$

Rework previous parts assuming that they are annuities due. Round your answers to the nearest cent.

$900 per year for 16 years at 12%.

$

$450 per year for 8 years at 6%.

$

$1,000 per year for 2 years at 0%.

$