Jim Campbell is founder and CEO of OpenStart, an innovative software company. The company is all equity financed, with 100 million shares outstanding. The shares are trading at a price of $1. Campbell currently owns 20 million shares. There are two possible states in one year. Either the new version of their software is a hit, and the company will be worth $160 million, or it will be a disappointment, in which case the value of the company will drop to $75 million. The current risk free rate is 296. Campbell is considering taking the company private by repurchasing the rest of the outstanding equity by issuing debt due in one year. Assume the debt is zero-coupon and will pay its face value in one year. 1. What is the market value of the new debt that must be issued? 2. Suppose OpenStart issues risk-free debt with a face value of $75 million. How much of its outstanding equity could it repurchase with the proceeds from the debt? What fraction of the remaining equity would Jim still not own? 3. Combine the fraction of the equity Jim does not own with the risk-free debt. What are the payoffs of this combined portfolio? What is the value of this portfolio?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Jim Campbell is founder and CEO of OpenStart, an innovative software company. The company is all equity
financed, with 100 million shares outstanding. The shares are trading at a price of $1. Campbell currently owns
20 million shares. There are two possible states in one year. Either the new version of their software is a hit,
and the company will be worth $160 million, or it will be a disappointment, in which case the value of the
company will drop to $75 million. The current risk free rate is 296. Campbell is considering taking the company
private by repurchasing the rest of the outstanding equity by issuing debt due in one year. Assume the debt is
zero-coupon and will pay its face value in one year.
1. What is the market value of the new debt that must be issued?
2. Suppose OpenStart issues risk-free debt with a face value of $75 million. How much of its
outstanding equity could it repurchase with the proceeds from the debt? What fraction of
the remaining equity would Jim still not own?
3. Combine the fraction of the equity Jim does not own with the risk-free debt. What are the
payoffs of this combined portfolio? What is the value of this portfolio?
4. What face value of risky debt would have the same payoffs as the portfolio in (c)?
5. What is the yield on the risky debt in (d) that will be required to take the company
private?
6. If the two outcomes are equally likely, what is OpenStart's current WACC (before the
transaction)?
7. What is OpenStart's debt and equity cost of capital after the transaction? Show that the
WACC is unchanged by the new leverage.
Requirements: Please include separate title page and reference page in a APA format.
Transcribed Image Text:Jim Campbell is founder and CEO of OpenStart, an innovative software company. The company is all equity financed, with 100 million shares outstanding. The shares are trading at a price of $1. Campbell currently owns 20 million shares. There are two possible states in one year. Either the new version of their software is a hit, and the company will be worth $160 million, or it will be a disappointment, in which case the value of the company will drop to $75 million. The current risk free rate is 296. Campbell is considering taking the company private by repurchasing the rest of the outstanding equity by issuing debt due in one year. Assume the debt is zero-coupon and will pay its face value in one year. 1. What is the market value of the new debt that must be issued? 2. Suppose OpenStart issues risk-free debt with a face value of $75 million. How much of its outstanding equity could it repurchase with the proceeds from the debt? What fraction of the remaining equity would Jim still not own? 3. Combine the fraction of the equity Jim does not own with the risk-free debt. What are the payoffs of this combined portfolio? What is the value of this portfolio? 4. What face value of risky debt would have the same payoffs as the portfolio in (c)? 5. What is the yield on the risky debt in (d) that will be required to take the company private? 6. If the two outcomes are equally likely, what is OpenStart's current WACC (before the transaction)? 7. What is OpenStart's debt and equity cost of capital after the transaction? Show that the WACC is unchanged by the new leverage. Requirements: Please include separate title page and reference page in a APA format.
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