In: Finance
allen is analyzing a project and has determined that the initial
cost will be $760,000 and the required rate of return needs to be
12 percent. The project has a 60 percent chance of success and a 40
percent chance of failure. If the project fails, it will generate
an annual after-tax cash flow of $150,000. If the project succeeds,
the annual after-tax cash flow will be $306,000. She has further
determined that if the project fails, she will shut it down after
the first year and sell the equipment for the after-tax salvage
value of $300,000. If however, the project is a success, she can
expand it with no additional investment and increase the after-tax
cash flow to $326,000 a year for Years 2-5. At the end of Year 5,
the project would be terminated and have no salvage value. What is
the expected net present value of this project at Time 0?
$149,588.92 |
||
$110,676.38 |
||
$74,356.72 |
||
$95,094.23 |
||
$127,410.88 |
Year | Probable cash flow if success | Probable cash flow if fail | total cash flow | PV Factor | PV of cash flow |
0 | $ -7,60,000 | 1 | $ -7,60,000.00 | ||
1 | $ 1,80,000 | $ 1,83,600 | $ 3,63,600 | 0.892857 | $ 3,24,642.86 |
2 | $ 1,95,600 | $ 1,95,600 | 0.797194 | $ 1,55,931.12 | |
3 | $ 1,95,600 | $ 1,95,600 | 0.71178 | $ 1,39,224.22 | |
4 | $ 1,95,600 | $ 1,95,600 | 0.635518 | $ 1,24,307.34 | |
5 | $ 1,95,600 | $ 1,95,600 | 0.567427 | $ 1,10,988.69 | |
Net present vlaue | 95094.23 | ||||
Correct Option : THIRD | |||||