In: Economics
Determine the net present worth (NPW) of the cash flows given in table below for an investment opportunity being presented to a company. MARR =10%. Year 0 1-10 11-15 16-25 26-30 Cash Flow -$100K 10K 20K -5K 30K
Solution:-
NPW of cash flows is computed as follows.
Years | Cash Flow | PV Factors @10% | Discounted Cash Flows ($) |
0 |
-1,00,000 |
1.0000 |
-1,00,000 |
1 |
10,000 |
0.9091 |
9,091 |
2 |
10,000 |
0.8264 |
8,264 |
3 |
10,000 |
0.7513 |
7,513 |
4 |
10,000 |
0.6830 |
6,830 |
5 |
10,000 |
0.6209 |
6,209 |
6 |
10,000 |
0.5645 |
5,645 |
7 |
10,000 |
0.5132 |
5,132 |
8 |
10,000 |
0.4665 |
4,665 |
9 |
10,000 |
0.4241 |
4,241 |
10 |
10,000 |
0.3855 |
3,855 |
11 |
20,000 |
0.3505 |
7,010 |
12 |
20,000 |
0.3186 |
6,373 |
13 |
20,000 |
0.2897 |
5,793 |
14 |
20,000 |
0.2633 |
5,267 |
15 |
20,000 |
0.2394 |
4,788 |
16 |
-5,000 |
0.2176 |
-1,088 |
17 |
-5,000 |
0.1978 |
-989 |
18 |
-5,000 |
0.1799 |
-899 |
19 |
-5,000 |
0.1635 |
-818 |
20 |
-5,000 |
0.1486 |
-743 |
21 |
-5,000 |
0.1351 |
-676 |
22 |
-5,000 |
0.1228 |
-614 |
23 |
-5,000 |
0.1117 |
-558 |
24 |
-5,000 |
0.1015 |
-508 |
25 |
-5,000 |
0.0923 |
-461 |
26 |
30,000 |
0.0839 |
2,517 |
27 |
30,000 |
0.0763 |
2,288 |
28 |
30,000 |
0.0693 |
2,080 |
29 |
30,000 |
0.0630 |
1,891 |
30 |
30,000 |
0.0573 |
1,719 |
NPW ($) = |
-6,183 |