Corporate Finance
3rd Edition
ISBN: 9780132992473
Author: Jonathan Berk, Peter DeMarzo
Publisher: Prentice Hall
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Textbook Question
Chapter 21, Problem 12P
Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $100 and expires in 90 days. The current price of Up stock is $120, and the stock has a standard deviation of 40% per year. The risk-free interest rate is 6.18% per year.
- a. Using the Black-Scholes formula, compute the price of the call.
- b. Use put-call parity to compute the price of the put with the same strike and expiration date.
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A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55.
a. Is there an arbitrage opportunity?
b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists.
c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity.
Use at least four decimal places for those questions that require a numerical answer.
Investor A wants to buy a European call option on Company N's stock. The call has a strike price of $100 and matures in 90 days. The price at t = 0 is $120 and the stock has a volatility of 40%. The risk-free rate is 6.38% per year. • Calculate the call price, using the Black-Sholes formula. • Calculate the put price with the same strike and maturity, using the put-call parity.
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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