You plan to retire in exactly 20 years. Your goal is to create a fund that will allow you to receive S$20,000 at the end of each year for the 30 years you will live after retirement. You know that you will be able to earn 1 1% per year during the 30-year retirement period. How large a fund will you need when you retire in 20 years to provide the 30- year, S20,000 retirement annuity? a. How much will you need today as a single amount to provide the fund in part "a" ifyou earn only 9% per year during the 20 years preceding retirement? b. calculated