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Problem 17-6 MM without Taxes Companies U and L are identical in every respect e

ID: 2790189 • Letter: P

Question

Problem 17-6
MM without Taxes

Companies U and L are identical in every respect except that U is unlevered while L has $9 million of 7% bonds outstanding. Assume that (1) there are no corporate or personal taxes, (2) all of the other MM assumptions are met, (3) EBIT is $3 million, and (4) the cost of equity to Company U is 12%.

What is rs for Firm U? Round your answer to two decimal places.
%

What is rs for Firm L? Do not round intermediate calculations. Round your answer to two decimal places.
%

Find SL. Round your answer to two decimal places. Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000.
$   million

What is the WACC for Firm U? Round your answer to one decimal place.
%

What the WACC for Firm L? Round your answer to one decimal place.
%

Suppose VU = $20 million and VL = $22 million. According to MM, are these values consistent with equilibrium?
-Select-Yes / No

17-6: Capital Structure Theory: Arbitrage Proofs of the Modigliani-Miller Theorems

Problem 17-6
MM without Taxes

Companies U and L are identical in every respect except that U is unlevered while L has $9 million of 7% bonds outstanding. Assume that (1) there are no corporate or personal taxes, (2) all of the other MM assumptions are met, (3) EBIT is $3 million, and (4) the cost of equity to Company U is 12%.

What value would MM estimate for each firm? Enter your answers in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answers to two decimal places. Company U $   million Company L $   million

What is rs for Firm U? Round your answer to two decimal places.
%

What is rs for Firm L? Do not round intermediate calculations. Round your answer to two decimal places.
%

Find SL. Round your answer to two decimal places. Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000.
$   million

What is the WACC for Firm U? Round your answer to one decimal place.
%

What the WACC for Firm L? Round your answer to one decimal place.
%

Suppose VU = $20 million and VL = $22 million. According to MM, are these values consistent with equilibrium?
-Select-Yes / No

Explanation / Answer

Question - 1

Value of the firms

Company U ............EBIT / Cost of equity = 3 million / 0.12 = 25 millions...............final answer

Company L ........ Stock value = (EBIT - Interest) / Cost of equity = ( 3 millions - 0.63) / 0.12 = 19.75 million

Debt value = 9 million

Value of company L = 19.75 + 9 = 28.75 ..................final answer

Question - 2

rS = Return on stock

Company U ..................12% ( as given in question)

Company L ................( EBIT - Ineterest) / Stock value * 100 =  2.37 / 19.75 * 100 = 12 %

Question - 3

SL = Stock value in levered firm = 19.75 million

Question - 4

WACC

Company - U .............. 12 % ( as given )

Company - L .................. EBIT / FIRM VALUE * 100 = 3 / 28.75 * 100 = 10.43%.................final answer

Question - 5

NO

Because, the value of the two firms are not same. Through the process of arbitrage, they will reach equilibrium value.