Question
Consider two Firms A and B, both having identical productive assets. A has $1.5 million of Risk-Free Debt with coupon rate of 4% and trading
Consider two Firms A and B, both having identical productive assets. A has $1.5 million of Risk-Free Debt with coupon rate of 4% and trading at par. Firm B has $2.5 million of Risk-Free Debt similar to Firm As. The corporate income-tax rate is 25% for both firms. Both firms distribute the entire Net Income as Dividends to stockholders. The earnings and valuations of both firms are shown below:
Firm A Firm B
EBIT ($) 600,000 600,000
Interest ($) 60,000 100,000
EBT ($) 540,000 500,000
Taxes ($) 135,000 125,000
Net Income ($) 405,000 375,000
Cost of Equity 10% 10%
Equity Value ($) 4,050,000 3,750,000
Debt ($) 1,500,000 2,500,000
Firm Value: D + E ($) 5,550,000 6,250,000
- Assuming that Firm A is correctly valued, is Firm B valued correctly? Explain your answer.
- Is there an arbitrage opportunity with the firm values shown above, and if so, then what would an investor do to get this arbitrage profit? Explain all calculations.
- What would be the value of Firm A if it had no debt?
- What would be the Cost of Equity in Firm A if it had no debt?
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