Answer:
Present value of obligation is $17,942.94
Duration 1.4785 years
Explanation:
Present value of obligation can be calculate by using following formula
PV = Tuition payment x ( 1 + yield rate )^-n
PV of First year payment = $10,200 x ( 1 + 9% )^-1 = 9,357.80
PV of Second year payment = $10,200 x ( 1 + 9% )^-2 = 8,585.14
PV of Obligation = PV of First year payment + PV of Second year payment
PV of Obligation = 9,357.80 + $8,585.14 = $17,942.94
Duration
Time in years PV of Payments Weight Duration (Time x Weight)
1 $9,357.80 0.5215 0.5215 x 1 = 0.5215
2 $8,585.14 0.4785 0.4785 x 2 = 0.9569
Total $17,942.94 1.0000 1.4785
