You plan to retire in exactly 20 years. Your goal is to

open a fund that will allow you to receive $20,000 at the end of each year for the

30 years between retirement and death (a psychic told you would die exactly 30

years after you retire). You know that you will be able to earn 11% per year during

the 30-year retirement period.

a. How large a fund will you need when you retire in 20 years to provide the

30-year, $20,000 retirement annuity?