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MM Model with Corporate Taxes An unlevered firm has a value of $700 million. An otherwise identical but levered firm has $40 million in debt at a 5% interest rate. Its cost of debt is 5% and its unlevered cost of equity is 11%. No growth is expected. Assuming the corporate tax rate is 35%, use the MM model with corporate taxes to determine the value of the levered firm. Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. $ million

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Deanna Hettinger
Deanna HettingerLv2
28 Sep 2019

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An unlevered firm has a value of $750 million. An otherwise identical but levered firm has $40 million in debt at a 5% interest rate. Its cost of debt is 5% and its unlevered cost of equity is 12%. After Year 1, free cash flows and tax savings are expected to grow at a constant rate of 4%. Assuming the corporate tax rate is 40%, use the compressed adjusted present value model to determine the value of the levered firm. (Hint: The interest expense at Year 1 is based on the current level of debt.) Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Do not round intermediate calculations. Round your answer to two decimal places. $ million

Companies U and L are identical in every respect except that U is unlevered while L has $8 million of 5% bonds outstanding. Both firms have an EBIT of $2 million. Assume that all of the MM assumptions are met.

1. Suppose that both firms are subject to a 35% federal-plus-state corporate tax rate, investors in both firms face a tax rate of Td = 28% on debt income and Ts = 20% (on average) on stock income, and the appropriate required pre-personal-tax rate rsU is 10%.What is the value of the unlevered firm, VU? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

2. What is the value of the levered firm, VL? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

3. What is the gain from leverage? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

4. Now keep the other assumptions (D = $8 million, rd = 5%, EBIT = $2 million, and rsU = 10%) but set Tc = Ts = Td = 0. What is the value of the unlevered firm, VU? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

5. What is the value of the levered firm, VL? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million
6. What is the gain from leverage? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

7. Keep the other assumptions (D = $8 million, rd = 5%, EBIT = $2 million, and rsU = 10%) but now suppose Td = Ts = 0 and Tc = 40%. What is the value of the unlevered firm, VU? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

8. What is the value of the levered firm, VL? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

9. What is the gain from leverage? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

10. Keep the other assumptions (D = $8 million, rd = 5%, EBIT = $2 million, and rsU = 10%) but now suppose that Td = 28%, Ts = 28%, and Tc = 40%. Now what is the value of the levered firm? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

11. What is the gain from leverage? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places.
$ million

Companies U and L are identical in every respect except that U is unlevered while L has $11 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 $2 million, and (4) the cost of equity to Company U is 10%.

a. 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

b. 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.
_____ %

c. 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

d. 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 or No

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