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[QUESTION]
[Problem 15.7]
Cohn and Sitwell, Inc., is considering manufacturing special drill bits and other equipment for oil
rigs. The proposed project is currently regarded as complementary to its other lines of business,
and the company has certain expertise by virtue of its having a large mechanical engineering
staff. Because of the large outlays required to get into the business, management is concerned
that Cohn and Sitwell earn a proper return. Since the new venture is believed to be sufficiently
different from the company’s existing operations, management feels that a required rate of return
other than the company’s present one should be employed.
The financial manager’s staff has identified several companies (with capital structures similar to
that of Cohn and Sitwell) engaged solely in the manufacture and sale of oildrilling equipment
whose common stocks are publicly traded. Over the last five years, the median average beta for
these companies has been 1.28. The staff believes that 18 percent is a reasonable estimate of the
average return on stocks “in general” for the foreseeable future and that the risk-free rate will be
around 12 percent. In financing projects, Cohn and
Sitwell uses 40 percent debt and 60 percent equity. The after-tax cost of debt is 8 percent.
a. On the basis of this information, determine a required rate of return for the project, using the
CAPM approach.
b. Is the figure obtained likely to be a realistic estimate of the required rate of return on the
project?
[ANSWER]
a. Cost of equity = 0.12 + (0.18 – 0.12) 1.28 = 19.68 percent Cost of debt = 8 percent
(given)
Weighted-average required return for the project = 0.4(8%) + 0.6(19.68%) = 15 percent.
b.
The approach assumes that unsystematic risk is not a factor of importance, which may or
may not be the case. It assumes also that the average beta for the oil drilling equipment
companies is a good surrogate for the systematic risk of the prospect. Finally, the
estimates of the likely return on stocks in general and of the risk-free rate must be
accurate. If these assumptions hold, the figure obtained will be a realistic estimate of the
project’s required rate of return.
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