Question

MM and Taxes Bruce \& Co. expects its EBIT to be $\$ 185,000$ every year forever. The firm can borrow at 9 percent. Bruce currently has no debt, and its cost of equity is 16 percent. If the tax rate is 35 percent, what is the value of the firm? What will the value be if Bruce borrows $\$ 135,000$ and uses the proceeds to repurchase shares?

    MM and Taxes Bruce \& Co. expects its EBIT to be $\$ 185,000$ every year forever. The firm can borrow at 9 percent. Bruce currently has no debt, and its cost of equity is 16 percent. If the tax rate is 35 percent, what is the value of the firm? What will the value be if Bruce borrows $\$ 135,000$ and uses the proceeds to repurchase shares? 
 
Show more…
Corporate Finance
Corporate Finance
Stephen Ross,… 10th Edition
Chapter 16, Problem 14 ↓

Instant Answer

verified

Step 1

To calculate the value of the firm without any debt, we can use the formula for the value of a firm using the Modigliani-Miller (MM) theorem: Value of the firm = EBIT * (1 - Tax rate) / Cost of equity Given: EBIT = $185,000 Tax rate = 35% Cost of equity =  Show more…

Show all steps

lock
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
MM and Taxes Bruce \& Co. expects its EBIT to be $\$ 185,000$ every year forever. The firm can borrow at 9 percent. Bruce currently has no debt, and its cost of equity is 16 percent. If the tax rate is 35 percent, what is the value of the firm? What will the value be if Bruce borrows $\$ 135,000$ and uses the proceeds to repurchase shares?
Close icon
Play audio
Feedback
Powered by NumerAI
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Modigliani and Miller Proposition with Corporate Taxes
This concept explains that in the presence of corporate taxes, a firm’s value increases with the use of debt financing because interest payments are tax deductible. This creates a tax shield that effectively lowers the firm's taxable income and enhances overall firm value, differentiating it from the tax?neutral case originally proposed by Modigliani and Miller.
Tax Shield Benefit
The tax shield benefit represents the reduction in a company's tax liability due to the deductibility of interest expenses. By borrowing, the firm reduces its taxable income by the amount of interest paid, multiplied by the corporate tax rate. This saved tax expense increases the firm's value and is a key reason why debt financing can be beneficial.
Valuation Using Discounted Cash Flows
Firm valuation using discounted cash flows involves calculating the present value of expected future earnings, such as EBIT. In an unleveraged company, the discount rate is typically the cost of equity, while for a leveraged firm, adjustments need to be made to account for the benefits of the tax shield arising from debt financing.
Impact of Leverage on Capital Structure and Cost of Capital
Introducing debt into the capital structure changes the overall cost of capital because debt generally has a lower cost than equity, especially after accounting for its tax-deductible nature. This shift in the capital structure decreases the weighted average cost of capital, which in turn raises the firm's value. The trade-off between the benefits of the tax shield and the risks associated with increased leverage is fundamental in capital structure decisions.

*

Recommended Videos

-
bruce-co-expects-its-ebit-to-be-185000-every-year-forever-the-firm-can-borrow-at-9-percent-bruce-currently-has-no-debt-and-its-cost-of-equity-is-16-percent-if-the-tax-rate-is-35-percent-what-39605

Bruce & Co. expects its EBIT to be $185,000 every year forever. The firm can borrow at 9 percent. Bruce currently has no debt, and its cost of equity is 16 percent. If the tax rate is 35 percent, what is the value of the firm? What will the value be if Bruce borrows $135,000 and uses the proceeds to repurchase shares (based on the MM Proposition)? (Assume that the debt is perpetual in the 2nd question.)

Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever