Question

Answer the problem based on the framework of Modigliani and Miller Propositions. Assume that a company...

Answer the problem based on the framework of Modigliani and Miller Propositions. Assume that a company has earnings before interest and taxes (EBIT) of $1,000,000 every year forever. The firm also has perpetual bonds with the market value of $2,000,000. The before-tax cost of debt is 8 percent. The firm’s unlevered cost of capital is 15 percent. The tax rate is 25 percent.
a) Find the value of the firm.
b) Find the value of equity.
c) Find the firm’s cost of equity.
d) Find the firm’s weighted average cost of capital.

Homework Answers

Answer #1
a) Value of Firm = [EBIT(1-t)]/ Ko
= [($ 1000000) x 0.75] / 15%
= $ 50,00,000.00
b) Value of Equity = Value of firm - Value of Debt
= $ 5000000 - $ 2000000
= $ 30,00,000.00
c) Cost of Equity = Earning for ESH / Value of Equity
= $ 630000 / $ 3000000
= 21%
d) Weighted Average Cost of Capital = WeKe + WdKd
= 3/5 x 0.21 + 2/5 x 6%
= 15%

Workings:

W.N.1
Income Statement
EBIT $ 10,00,000.00
Less: Interest ($ 2000000 x 8%) $   1,60,000.00
EBT $   8,40,000.00
Less: Tax ($ 840000 x 25%) $   2,10,000.00
Earning for ESH $   6,30,000.00
W.N.2
Kd = Rate of Interest (1-t)
= 8% (1-0.25)
= 6%
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