Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

How are the answers derived? Please type instead of handwriting. Consider an entrepreneur with the following investment opportunity. For an initial investment of $750 this

image text in transcribedimage text in transcribed

How are the answers derived? Please type instead of handwriting.

Consider an entrepreneur with the following investment opportunity. For an initial investment of $750 this year, a project will generate cash flows of either $1,125 next year or $938 next year. The cash flows depend on whether the economy is strong or weak during the year, with both scenarios being equally likely. The market value of the firm's unlevered equity today is $912.83. Investors demand a risk premium over the current risk-free interest rate of 4% to invest in this project. Given the market risk of the investment, the appropriate risk premium is 9%. The entrepreneur decides to raise part of the initial capital using debt. Suppose she funds the project by borrowing $648, in addition to selling equity. The debt is risk-free. weak? a. According to MM Proposition I, what is the value of the levered equity? What are its cash flows if the economy is strong? What are its cash flows if the economy b. What is the return on equity for the unlevered and the levered investment? What is its expected return for the levered and unlevered investment? c. What is the risk premium of equity for the unlevered and the levered investment? What is the sensitivity of the unlevered and levered equity return to systematic risk? How does the levered sensitivity compare to the sensitivity of the unlevered equity return to systematic risk? How does its levered risk premium compare to the unlevered risk premium? d. What is the debt-equity ratio of the investment in the levered case? e. What is the firm's WACC in the levered case? C a. According to MM Proposition I, what is the value of the levered equity? What are its cash flows if the economy is strong? What are its cash flows if the economy is weak? According to MM Proposition I, the value of the levered equity is $ 264.83. (Round to the nearest cent.) If the economy is strong the cash flows are $ 451.08. (Round to the nearest cent.) If the economy is weak the cash flows are $ 264.08. (Round to the nearest cent.) b. What is the return on equity for the unlevered and the levered investment? What is its expected return for the levered and unlevered investment? The unlevered equity return if the economy is strong is 23.24%. (Round to two decimal places.) The unlevered equity return if the economy is weak is 2.76 %. (Round to two decimal places.) The levered equity return if the economy is strong is 70.33 %. (Round to two decimal places.) The levered equity return if the economy is weak is -0.28%. (Round to two decimal places.) The expected return of the unlevered equity is 13.00 %. (Round to two decimal places.) The expected return of the levered equity is 35.03%. (Round to two decimal places.) c. What is the risk premium of equity for the unlevered and the levered investment? What is the sensitivity of the unlevered and levered equity return to systematic risk? How does the levered sensitivity compare to the sensitivity of the unlevered equity return to systematic risk? How does its levered risk premium compare to the unlevered risk premium? The risk premium of the unlevered equity is 9.00 %. (Round to two decimal places.) The risk premium of the levered equity is 31.03%. (Round to two decimal places.) The sensitivity of the unlevered equity return compared to systematic risk is 20.48%. (Round to two decimal places.) The sensitivity of the levered equity return compared to systematic risk is 70.61 %. (Round to two decimal places.) The sensitivity of the levered equity return compared to the sensitivity of the unlevered equity return is 3.4 times. (Round to one decimal place.) The levered risk premium compared to the unlevered risk premium is 3.4 times. (Round to one decimal place.) d. What is the debt-equity ratio of the investment in the levered case? The debt-equity ratio of the levered investment is 2.45 times. (Round to two decimal places.) e. What is the firm's WACC in the levered case? The firm's WACC in this case is 13.00 %. (Round to two decimal places.)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Options Futures And Other Derivatives

Authors: John C. Hull

4th Edition

0130224448, 9780130224446

More Books

Students also viewed these Finance questions