# Given values
P = 9000 # Payment per period
r = 0.06 # Semi-annual interest rate (12% annually, compounded semi-annually)
n = 14 # Total periods (7 years * 2 periods per year)
# Present Value of an Annuity formula (Annuity Due)
PV_annuity_due = P * ((1 - (1 + r) ** -n) / r) * (1 + r)
PV_annuity_due
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