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Finance
The cost of debt is 13%. The cost of common stock, using CAPM, is as follows: The IRR is higher than the cost of capital. However, the paving project was given a higher hurdle rate, based on the WACC + 3%, so it has a negative NPV, and would therefore be rejected. In addition, it has the lower IRR, which means that it would be rejected when compared with the smelting project anyway, because they are mutually exclusive.
The cost of preferred stock is (10/90)(1-(2/90) = (.11111) / (.9778) = 11.3%
The company's WACC is (.3)(13)+(.16)(11.3)+(.54)(14.15) = 13.349%
The expected cash flow from the investments is the weighted average:
Smelting
Paving
$16,220
$15,800
The standard deviation for the smelting is 2133, while the standard deviation of paving is 10,234.
The coefficient of variation for the smelting is 0.1315 for the smelting and .6478 for the paving.
The paving option has the higher risk. The standard deviation is a good measure of risk and the paving option has a much higher standard deviation. Further, it has a higher coefficient of variation as well. On both measures, the paving option has the higher risk.
7/8. The net present values and IRRs for these two are as follows. First, the smelting:
Smelting
Year
Flow
-45000
16220
16220
16220
16220
d
0.13349
npv $2,898.16
irr
16%
And then for the paving:
There is, however, a conflict between the two methods. The use of a higher hurdle rate for the paving project is inconsistent. The point of using the company's WACC is that it reflects the risk associated with the company's ability to raise capital. The two projects should be evaluated on the basis of the WACC -- whether the project is riskier or not is not reflective of whether it is expected to have a higher NPV. The risk is ultimately built into the probability table. Nevertheless, the decision would be the same because the smelting project has a higher…
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