Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Chapter 21, Problem 26P

Consider the March 2010 $5 put option on JetBlue listed in Table 21 .1. Assume that the volatility of JetBlue is 65% per year and its beta is 0.85. The short-term risk-free rate of interest is 1% per year.

  1. a. What is the put option’s leverage ratio?
  2. b. What is the beta of the put option?
  3. c. If the expected risk premium of the market is 6%, what is the expected return of the put option based on the CAPM?
  4. d. Given its expected return, why would an investor buy a put option?
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Assume the Black-Scholes framework. Let S be a stock such that S(0) = 21, the dividend rate is δ = 0.02, the risk free rate is r = 0.05, and the volatility is σ = 0.2. (a) Calculate the expected payoff of a 6 month call with strike price 17. (b) Calculate the cost of such a call. (c) Calculate the cost of a 6 month put with strike price 17. (d) Calculate the price of a derivative that pays |S(0.5) − 17| in six months
Goldman Sachs believes that market volatility will be 20% annually for the next three years. Three-year at-the-money call and put options on the market index sell at an implied volatility of 22%. What options portfolio can Goldman establish to speculate on its volatility belief with-out taking a bullish or bearish position on the market? Using Goldman’s estimate of volatility, 3-year at-the-money options have N(d1) = .6.
Assume a stock price is g120, and in the next year, it will either rise by 10 percent or fall by 20 percent. The risk-free interest rate is 6 percent. A call option on this stock has an exercise price of g130. What is the price of a call option that expires in one year? What is the chance that the stock price will rise?

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