Paying Back a Loan Problem

$6000 is borrowed at 10% compounded semiannually. The amount is to be paid back in 5 years. If a sinking fund is established to repay the loan and interest in 5 years, and the fund earns 8% compounded quarterly, how much will have to be paid into the fund every 3 months?

Future amount due on the loan:
6,000(1.05^10) = $9,773.37

now set that amount = to Future Value of oridinary annuity, and solve for payment:
FVoa = PMT [((1 + i)^n - 1) / i], where i = 0.08/4 = 0.02 for the quarterly rate, n= 5*4 = 20

9773.37 = PMT [(1.02^20) -1) / 0.02]
9773.37 = PMT [24.29737]
PMT = $402.23983 or $402.24