QUESTION
Marston Marble Corporation is considering a merger with the
Conroy Concrete
Company.
Conroy is a publicly traded company, and its beta is 1.30. Conroy has been
barely
profitable, so it has paid an average of only 20% in taxes during the last
several
years. In
addition, it uses little debt; its target ratio is just 25%, with the cost of
debt 9%.
If the
acquisition were made, Marston would operate Conroy as a separate, wholly
owned
subsidiary. Marston would pay taxes on a consolidated basis, and the tax rate
would
therefore increase to 35%. Marston also would increase the debt
capitalization in
the Conroy
subsidiary to wd = 40%, for a total of $22.27 million in debt by the end of
Year 4, and
pay 9.5% on the debt. Marstonâs acquisition department estimates that
Conroy, if
acquired, would generate the following free cash flows and interest expenses
(in millions
of dollars) in Years 1â5:
year
free cash flow
interest expense
1
1.3
1.2
2
1.5
1.7
3
1.7
2.8
4
2
2.1
5
2.12
?
In Year 5,
Conroyâs interest expense would be based on its beginning-of-year (that is,
the
end-of-Year-4)
debt, and in subsequent years both interest expense and free cash flows are
projected to
grow at a rate of 6%.
These cash
flows include all acquisition effects. Marstonâs cost of equity is 10.5%, its
beta is 1.0,
and its cost of debt is 9.5%. The risk-free rate is 6%, and the market risk
premium
is 4.5%.
a. What is
the value of Conroyâs unlevered operations, and what is the value of Conroyâs
tax shields
under the proposed merger and financing arrangements?
b. What is
the dollar value of Conroyâs operations? If Conroy has $10 million in debt
outstanding,
how much would Marston be willing to pay for Conroy?
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