r 5 Ho Oue Today at Noon PV OF CASH FLOW STREAM are guarant
Solution
There should be present value (PV) calculation for each contract (C). The contract having the highest PV should be recommended.
PV of C 1
Year
CF, $
5% discount factor (F) = 1/ (1 + 0.05) ^n [where n = years, 1, 2 ..]
CF × F ($)
1
3,500,000
0.952380
3,333,330
2
3,500,000
0.907029
3,174,601.50
3
3,500,000
0.863837
3,023,429.50
4
3,500,000
0.822702
2,879,457
PV
12,410,818
PV of C 2
Year
CF, $
5% discount factor (F) = 1/ (1 + 0.05) ^n [where n = years, 1, 2 ..]
CF × F ($)
1
2,500,000
0.952380
2,380,950
2
3,000,000
0.907029
2,721,087
3
4,500,000
0.863837
3,887,266.50
4
5,000,000
0.822702
4,113,510
PV
13,102,813.50
PV of C 3
Year
CF, $
5% discount factor (F) = 1/ (1 + 0.05) ^n [where n = years, 1, 2 ..]
CF × F ($)
1
6,000,000
0.952380
5,714,280
2
1,500,000
0.907029
1,360,543.50
3
1,500,000
0.863837
1,295,755.50
4
1,500,000
0.822702
1,234,053
PV
9,604,632
The 2nd contract should be recommended, since it has the highest PV.
Answer: b
| Year | CF, $ | 5% discount factor (F) = 1/ (1 + 0.05) ^n [where n = years, 1, 2 ..] | CF × F ($) | 
| 1 | 3,500,000 | 0.952380 | 3,333,330 | 
| 2 | 3,500,000 | 0.907029 | 3,174,601.50 | 
| 3 | 3,500,000 | 0.863837 | 3,023,429.50 | 
| 4 | 3,500,000 | 0.822702 | 2,879,457 | 
| PV | 12,410,818 | 



