Funding your retirement. Personal Finance Problem. You plan to retire in exactly 24 years. Your goal is to create a fund that will allow you to receive ?$20,000 at the end of each year for the 25 years between retirement and death? (a psychic told you that you would die exactly 25 years after you? retire). You know that you will be able to earn 9?% per year during the 25?-year retirement period.

a. How large a fund will you need when you retire in 24 years to provide the 25?-year, ?$20,000 retirement? annuity?

b. How much will you need today as a single amount to provide the fund calculated in part a if you earn only 7?% per year during the 24 years preceding? retirement?

c. What effect would an increase in the rate you can earn both during and prior to retirement have on the values found in parts a and b?? Explain.

d. Now assume that you will earn 8?% from now through the end of your retirement. You want to make 24?, end-of-year deposits into your retirement account that will fund the 25?-year stream of ?$20,000 annual annuity payments. How large do your annual deposits have to? be?

a. The amount of the fund you will need when you retire in 24years to provide the 25?-year, ?$20,000 retirement annuity is ?$194132.24. ?(Round to the nearest? cent.)

b. The amount you will need today as a single amount to provide the fund calculated in part a if you earn only 7?% per year during the 24years preceding retirement is $_____

PLEASE ANSWER ALL FOUR QUESTIONS