In: Economics
Project Wind Power
|
Year 0 |
Year 1 |
Year 2 |
Year 3 |
|
|
Costs |
$6,000,000 |
$4,000,000 |
$0 |
$0 |
|
Benefits |
$18,000,000 |
$15,000,000 |
$12,000,000 |
$12,000,000 |
Project Hydroelectric power
|
Year 0 |
Year 1 |
Year 2 |
Year 3 |
|
|
Costs |
$4,000,000 |
$2,000,000 |
$1,000,000 |
$0 |
|
Benefits |
$10,000,000 |
$14,000,000 |
$15,000,000 |
$16,000,000 |
ANSWER:
in excel we calcualte net present worth by using the npv function.
=npv(interest rate,cash flow from year 1 to year 3) + cash flow in year 0
1) I = 3%
| Project wind power | ||||
| year | 0 | 1 | 2 | 3 |
| costs | -60,00,000 | -40,00,000 | 0 | 0 |
| benefits | 1,80,00,000 | 1,50,00,000 | 1,20,00,000 | 1,20,00,000 |
| cash flows | 1,20,00,000 | 1,10,00,000 | 1,20,00,000 | 1,20,00,000 |
| npv | 4,49,72,462 |
| Project hydroelectric power | ||||
| year | 0 | 1 | 2 | 3 |
| costs | -40,00,000 | -20,00,000 | -10,00,000 | 0 |
| benefits | 1,00,00,000 | 1,40,00,000 | 1,50,00,000 | 1,60,00,000 |
| cash flows | 60,00,000 | 1,20,00,000 | 1,40,00,000 | 1,60,00,000 |
| npv | 4,54,89,095 |
if the interest rate is 3% i would chose project hydro electric power.
2) i = 15% :
| Project wind power | ||||
| year | 0 | 1 | 2 | 3 |
| costs | -60,00,000 | -40,00,000 | 0 | 0 |
| benefits | 1,80,00,000 | 1,50,00,000 | 1,20,00,000 | 1,20,00,000 |
| cash flows | 1,20,00,000 | 1,10,00,000 | 1,20,00,000 | 1,20,00,000 |
| npv | 3,85,29,136 |
| Project hydroelectric power | ||||
| year | 0 | 1 | 2 | 3 |
| costs | -40,00,000 | -20,00,000 | -10,00,000 | 0 |
| benefits | 1,00,00,000 | 1,40,00,000 | 1,50,00,000 | 1,60,00,000 |
| cash flows | 60,00,000 | 1,20,00,000 | 1,40,00,000 | 1,60,00,000 |
| npv | 3,75,41,054 |
if the interest rate is 15% i would chose project hydro wind power.