A company must decide if a proposed project is financially justifiable. To help make this decision, the company just spent $8 million dollars. If the company goes ahead with this project, it must immediately spend another $150 million now, and then spend $30 million in one year. In two years, it will receive $90 million, and in three years it will receive $110 million. If the cost of capital for the project is 11%:
The project's NPV is:
A) -$32,082
B) -$23,550
C) $10,085
B.) -$23.550.
present value factor = 1 /(1+r)^n
here, r = 11%%=>0.11.
n= 0,1,2,3.
| year | cash flow | present value factor (1/(1.11)) | cash flow * present value factor |
| 0 | (150) | 1 | (150) |
| 1 | (30) | 1/(1.11)^1=>0.9009 | (30*0.9009)=>(27.027) |
| 2 | 90 | 1/(1.11)^2=>0.8116 | 90*0.8116=>73.044 |
| 3 | 110 | 1/(1.11)^3=>0.7312 | 110*0.7312=>80.432 |
| NPV | (23.551) i.e approximately (23.550) |
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