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Expert Answer
a)
Annual withdrawals from 2018 to 2021 = $30,400
Number of withdrawals = 4
Annual interest rate = 8%
Fund balance on June 30, 2017 = Present value of annual withdrawals
Present value of annuity of uniform amount = Uniform amount*{1-(1+r)-n}/r
Fund balance on June 30, 2017 = $30,400*(1-1.08-4)/0.08 = $100,688.66
b)
Number of contributions = 4
Future value of contribution = $100,688.66
Future value of annuity of $1 = {(1+r)n-1}/r
$100,688.66 = Annual contributions*(1.084-1)/0.08
Annual contributions = $100,688.66/4.50611 = $22,344.91