Grady​ Zebrowski, age​ 25, just graduated from​ college, accepted his first job with a $47,000 salary, and is already looking forward to retirement in 40 years. He assumes a 2.9 percent inflation rate and plans to live in retirement for 20 years. He does not want to plan on any Social Security benefits. Assume Grady can earn a 6 percent rate of return on his investments prior to retirement and a 7 percent rate of return on his investments​post-retirement to answer the following questions using your financial calculator.
a. Grady wants to replace 90 percent of his current net income. What is his annual need in​ today's
dollars?
b. Using the table Grady thinks he might have an average tax rate of 13 percent at retirement if he is married. Adjusting for​ taxes, how much does Grady really need per​ year, in​ today's dollars?
c. Adjusting for​ inflation, how much does Grady need per year in future dollars when he begins retirement in 40 years?
d. If he needs this amount for 20 years, how much does he need in total for​ retirement?​ (Hint: Use the​inflation-adjusted rate of​ return.)
e. How much does Grady need to save per month to reach his retirement goal assuming he does not receive any employer match on his retirement​ savings?
Table 16.2 The Average Tax Rate
Average Tax Rate
Retirement Income Couples Filling Jointly Individuals
20,000 7% 10%
30,000 10 14
40,000 12 17
50,000 14 20
60,000 17 22
70,000 19 23
80,000 21 24
90,000 22 25
100,000 23 26
150,000 28 30