A hotel company is evaluating a capital project that management forecasts will generate $35,000 each year over its six year life. If the required rate of return given the project risks is 10 percent, and the project up front costs are estimated at $150,000, should management go forward with the project? (HINT: calculate the PV of the 6 year cash flows and compare to project's cost.) A or B?
A. Management should approve project as NPV is positive.
B. Management should reject project as NPV is negative.
Discount rate | 10.000% | ||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Cash flow stream | -150000 | 35000 | 35000 | 35000 | 35000 | 35000 | 35000 |
Discounting factor | 1.000 | 1.100 | 1.210 | 1.331 | 1.464 | 1.611 | 1.772 |
Discounted cash flows project | -150000.000 | 31818.182 | 28925.620 | 26296.018 | 23905.471 | 21732.246 | 19756.588 |
NPV = Sum of discounted cash flows | |||||||
NPV Project = | 2434.12 | ||||||
Where | |||||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||||||
Discounted Cashflow= | Cash flow stream/discounting factor | ||||||
Accept project as NPV is positive |
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