A couple will retire in 50 years; they plan to spend about $34,000 a year (in current dollars) in retirement, which should last about 25 years. They believe that they can earn a real interest rate of 7% on retirement savings.

If they make annual payments into a savings plan, how much will they need to save each year? Assume the first payment comes in 1 year.

Note: Do not round intermediate calculations. Round your answer to 2 decimal places.

How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $64,000 on their childs college education?

Note: Do not round intermediate calculations. Round your answer to 2 decimal places.