A couple will retire in 50 years; they plan to spend (in today's dollars) about $30,000 a year in retirement, which should last about 25 years. They believe that they can earn 8% interest on retirement savings. The inflation rate over the next 75 years is expected to average 5%.

a. What is the real annual savings the couple must set aside? Assume they will discontinue saving when they retire.

b. How much do they need to save in nominal terms in the first year?

c. How much do they need to save in nominal terms in the last year?

d. What will be their nominal expenditures in the first year of retirement?

e. What will be their nominal expenditures in the last year of retirement?