Clarence Weatherspoon, a super salesman contemplating retirement on his fifty-fifth birthday, decides to create a fund on an 8% basis that will enable him to withdraw $20,000 per year on June 30, beginning in 2029 and continuing through 2032. To develop this fund, Clarence intends to make equal contributions on June 30 of each of the years 20252028.

a. How much must the balance of the fund equal on June 30, 2028, in order for Clarence to satisfy his objective?

b. What are each of Clarences contributions to the fund?