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MM with Corporate Taxes Companies U and L are identical in every respect except that U is unlevered while L has $16 million of 5% bonds outstanding
MM with Corporate Taxes
Companies U and L are identical in every respect except that U is unlevered while L has $16 million of 5% bonds outstanding. Assume that: (1) All of the MM assumptions are met. (2) Both firms are subject to a 35% federal-plus-state corporate tax rate. (3) EBIT is $3 million. (4) The unlevered cost of equity is 12%.
- What value would MM now estimate for each firm? (Hint: Use Proposition I.) Enter your answers in millions. For example, an answer of $10,550,000 should be entered as 10.55. Round your answers to two decimal places.
- Company U: $ million
- Company L: $ million
- What is rs for Firm U? Round your answer to one decimal place.
- %
- What is rs for Firm L? Do not round intermediate calculations. Round your answer to one decimal place.
- %
- Find SL, and then show that SL + D = VL results in the same value as obtained in Part a. Enter your answers in millions. For example, an answer of $10,550,000 should be entered as 10.55. Do not round intermediate calculations. Round your answers to two decimal places.
- SL = $ million
- SL + D = $ million
- What is the WACC for Firm U? Do not round intermediate calculations. Round your answer to two decimal places.
- %
- What is the WACC for Firm L? Do not round intermediate calculations. Round your answer to two decimal places.
- %
Expert Solution
a. Value of Firm U, Vu = EBIT * (1 - Tax rate) / Unlevered Cost of Equity
= $3 million * (1 - 35%) / 12%
Value of Firm U, Vu = $16.25 millions
Value of Firm L, Vl = Vu + Tax rate * Debt
= $16.25 million + 35% * $16 million
= $16.25 million +$5.6 million
Value of Firm L, Vl = $21.85 million
b. rs for Firm U, rsu = Unlevered cost of equity = 12%
rs for Firm L, rsl = rsu + (rsu - rd) * (1 - Tax rate) * (Debt / Stock)
= 12% + (12% - 5%) * (1 - 35%) * ($16 million / ($21.85 million - $16 million)
= 12% + 4.55%*($16 million/$5.85 million)
= 12% + 12.44%
rs for Firm L, rsl = 24.44%
c. Value of Stock L, Sl = (EBIT - rd * Debt) * (1 - Tax rate) / rsl
= ($3 million - 5% * $16 million) * (1 - 35%) / 24.44%
= ($3 million - $0.80 million)*65%/24.44%
Value of Stock L, Sl = $5.85 million
Value of Firm L, Vl = Sl + Debt
= $5.85 million + $16 million
Value of Firm L, Vl = $21.85 million
d. WACCu = 12.00%
WACCl = (Debt / Vl) * rd * (1 - Tax rate) + (Sl / Vl) * rsl
= ($16 million / $21.85 million) * 5% * (1 - 35%) + ($5.6 million / $21.85 million) * 24.44%
= 2.38% + 6.26%
WACCl = 8.64%
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