In: Finance
Cavu Air Inc., a drone manufacturer, is reviewing its annual budget. It is considering investments in three different technologies. Consider the following cash flows of the three independent projects. Assume a discount rate of 9% percent. The company has $20 million to invest in projects this year.
Required return is 9%
Annual cash flows
Projects | A | B | C |
Year 0 | $ (7,500,000) | $ (10,500,000) | $ (20,000,000) |
Year 1 | $14,000,000 | $10,000,000 | $18,000,000 |
Year 2 | $6,000,000 | $25,000,000 | $32,000,000 |
Year 3 | $3,500,000 | $22,500,000 | $15,000,000 |
Based on the NPV, rank these investments.
Project |
A |
B |
C |
NPV |
$13,096,758.84 |
$37,090,440.06 |
$35,030,273.45 |
Rank |
III |
I |
II |
Explanation:
Projects A |
||||
Year |
Cash Flow (CA) |
Computation of PV Factor |
PV Factor @ 9 % (F) |
PV (CA x F) |
0 |
-$7,500,000 |
1/ (1+0.09)0 |
1 |
-$7,500,000 |
1 |
14,000,000 |
1/ (1+0.09)1 |
0.91743119266055 |
1,2844,036.697248 |
2 |
6,000,000 |
1/ (1+0.09)2 |
0.84167999326656 |
5,050,079.959599 |
3 |
3,500,000 |
1/ (1+0.09)3 |
0.77218348006106 |
2,702,642.180214 |
NPVA |
$13,096,758.837061 |
Projects B |
||||
Year |
Cash Flow (CB) |
Computation of PV Factor |
PV Factor @ 9 % (F) |
PV (CB x F) |
0 |
-$10,500,000 |
1/ (1+0.09)0 |
1 |
-$10,500,000 |
1 |
10,000,000 |
1/ (1+0.09)1 |
0.91743119266055 |
9,174,311.926606 |
2 |
25,000,000 |
1/ (1+0.09)2 |
0.84167999326656 |
21,041,999.831664 |
3 |
22,500,000 |
1/ (1+0.09)3 |
0.77218348006106 |
17,374,128.301374 |
NPVB |
$37,090,440.059644 |
Projects C |
||||
Year |
Cash Flow (CC) |
Computation of PV Factor |
PV Factor @ 9 % (F) |
PV (CC x F) |
0 |
-$20,000,000 |
1/ (1+0.09)0 |
1 |
-$20,000,000 |
1 |
18,000,000 |
1/ (1+0.09)1 |
0.91743119266055 |
16,513,761.467890 |
2 |
32,000,000 |
1/ (1+0.09)2 |
0.84167999326656 |
26,933,759.784530 |
3 |
15,000,000 |
1/ (1+0.09)3 |
0.77218348006106 |
11,582,752.200916 |
NPVC |
$35,030,273.453336 |