A project requires an initial investment of $500,000 depreciated straight-line to $0 in 12 years. The investment is expected to generate annual sales of $850,000 with annual costs of $700,000 for 12 years. Assume tax rate of 30% and the market risk premium of 6.0%, and the risk free rate of 10%. If the NPV of the project is $341,385.22 what is the beta of the project?
Annual cash flow = (850000 - 700000 - 41666.67) * (1 - 0.3) + 41666.67 = 117500 | ||||||
NPV = (117500 * Discount factor ) - 500000 = 341385.22 | ||||||
Discount factor = 7.16 | ||||||
Required rate of return against 12 years giving discount factor 7.16 = 9% | ||||||
(please check with PVIFA table) | ||||||
Required rate of return = rf + B * Mp = 10% + B * 6% = 9% | ||||||
Beta = B = (-10% + 9%) / 6% = -0.01 / 0.06 = -0.16667 |
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