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  |