Answer:
124.17
Explanation:
since the first payment is immediate, then this is an annuity due:
we must divide this annuity into 3 separate parts:
1) today plus 9 years = PV = 10 x 8.43533 (PV annuity due, 4%, 10 periods) = 84.3533
2) the second group of years where annuity decreases by $1
PV year 10 = 9/1.04¹⁰ = 6.08
PV year 11 = 8/1.04¹¹ = 5.20
PV year 12 = 7/1.04¹² = 4.37
PV year 13 = 6/1.04¹³ = 3.60
PV year 14 = 5/1.04¹⁴ = 2.89
PV year 15 = 4/1.04¹⁵ = 2.22
PV year 16 = 3/1.04¹⁶ = 1.60
PV year 17 = 2/1.04¹⁷ = 1.03
sum of PVs = 26.99
3) terminal value at year 17 = 1/0.04 = 25
PV of terminal value = 25/1.04¹⁷ = 12.83
now we add the three parts = 84.3533 + 26.99 + 12.83 = 124.17
