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Butthole Industries is buying out Avengers, Inc. Butthole and Avengers both have market capitalizations equal to their fair value or the present value of their net cash flows. Butthole generates $45M per year in net cash flows but has no growth. Avengers is expected to generate $25M in net cash flows next year. Also, grow at 15% per year after. The return on capital of both companies over the past years:
Return on Capital
Butthole
Avengers
Year 1
-20.5%
45.8%
Year 2
41.1%
-5.8%
Year 3
10.5%
20.9%
Note that the relevant discount rate for each firm is the "average" return on capital.
A. If past history is a good indicator of future performance, what are the expected return on capital and standard deviation of return on capital for the merged entity?
B. In which of the two major dimensions this merger could possibly help Butthole: boosting the return or reducing the risk? Prove your point quantitatively.
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