Corporate Finance
3rd Edition
ISBN: 9780132992473
Author: Jonathan Berk, Peter DeMarzo
Publisher: Prentice Hall
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Textbook Question
Chapter 21, Problem 9P
Hema Corp. is an all equity firm with a current market value of $1000 million (i.e., $1 billion), and will be worth $900 million or $1400 million in one year. The risk-free interest rate is 5%. Suppose Hema Corp. issues zero-coupon, one-year debt with a face value of $1050 million, and uses the proceeds to pay a special dividend to shareholders. Assuming perfect capital markets, use the binomial model to answer the following:
- a. What are the payoffs of the firm’s debt in one year?
- b. What is the value today of the debt today?
- c. What is the yield on the debt?
- d. Using Modigliani-Miller, what is the value of Hema’s equity before the dividend is paid? What is the value of equity just after the dividend is paid?
- e. Show that the ex-dividend value of Hema’s equity is consistent with the binomial model. What is the ∆ of the equity, when viewed as a call option on the firm’s assets?
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Hema Corp. is an all-equity firm with a current market value of $1,230 million (i.e., $1.23 billion), and will be worth $1,107 million or $1,722 million in one year. The risk-free interest rate is 5%. Suppose Hema Corp. issues zero-coupon, one-year debt with a face value of $1,292 million, and uses the proceeds to pay a special dividend to shareholders. Suppose that in the event Hema Corp. defaults, $90 million of its value will be lost to bankruptcy costs. Assume there are no other market imperfections. a. What is the present value of these bankruptcy costs, and what is their delta with respect to the firm's assets? b. In this case, what is the value and yield of Hema's debt? c. In this case, what is the value of Hema's equity before the dividend is paid? What is the value of equity just after the dividend is paid?
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Chapter 21 Solutions
Corporate Finance
Ch. 21.1 - What is the key assumption of the binomial option...Ch. 21.1 - Why dont we need to know the probabilities of the...Ch. 21.1 - Prob. 3CCCh. 21.2 - What are the inputs of the Black-Scholes option...Ch. 21.2 - What is the implied volatility of a stock?Ch. 21.2 - How does the delta of a call option change as the...Ch. 21.3 - What are risk-neutral probabilities? How can they...Ch. 21.3 - Does the binominal model or Black-Scholes model...Ch. 21.4 - Is the beta of a call greater or smaller than the...Ch. 21.4 - What is the leverage ratio of a call?
Ch. 21.5 - Prob. 1CCCh. 21.5 - The fact that equity is a call option on the firms...Ch. 21 - The current price of Estelle Corporation stock is...Ch. 21 - Using the information in Problem 1, use the...Ch. 21 - Suppose the option in Example 21.11 actually sold...Ch. 21 - Eagletrons current stock price is 10. Suppose that...Ch. 21 - What is the highest possible value for the delta...Ch. 21 - Hema Corp. is an all equity firm with a current...Ch. 21 - Consider the setting of Problem 9. Suppose that in...Ch. 21 - Roslin Robotics stock has a volatility of 30% and...Ch. 21 - Rebecca is interested in purchasing a European...Ch. 21 - Using the data in Table 21.1, compare the price on...Ch. 21 - Consider again the at-the-money call option on...Ch. 21 - Harbin Manufacturing has 10 million shares...Ch. 21 - Using the information on Harbin Manufacturing in...Ch. 21 - Using the information in Problem 1, calculate the...Ch. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Calculate the beta of the January 2010 9 call...Ch. 21 - Consider the March 2010 5 put option on JetBlue...
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