Matthew has determined that he will need about $750,000 by the time he retires in 20 years. If he can earn 8% on his investments, how much will he need to save monthly to meet his goals?

a. Calculate the present value of $750,000 over 20 years at 8% APY.

b. Calculate the annuity payments required to save $750,000 in 20 years at 8% APY.

c. Calculate the annuity payments required to save $750,000 in 240 months at 0.6667% monthly periodic rate.

d. Calculate the present value of $750,000 over 240 months at 0.6667% monthly periodic rate.