# Question: Greg Fredericks wishes to have 800 000 in a retirement fund

Greg Fredericks wishes to have \$800,000 in a retirement fund 20 years from now. He can create the retirement fund by making a single lump-sum deposit today.
a. If he can earn 6 percent on his investments, how much must Greg deposit today to create the retirement fund? If he can earn only 4 percent on his investments? Compare and discuss the results of your calculations.
b. If, upon retirement in 20 years, Greg plans to invest the \$800,000 in a fund that earns 4 percent, what is the maximum annual withdrawal he can make over the following 15Â years?
c. How much would Greg need to have on deposit at retirement to annually withdraw \$35,000 over the 15 years if the retirement fund earns 4 percent?
d. To achieve his annual withdrawal goal of \$35,000 calculated in part c, how much more than the amount calculated in part a must Greg deposit today in an investment earning 4 percent annual interest?

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