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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Consider the following data for a certain share. Current Price = So = Rs. 80 Exercise Price = E = Rs. 90 Standard deviation of continuously compounded annual return = 0 = 0.5 Expiration period of the call option 3 months Risk – free interest rate per annum = 6 percent a. What is the value of the call option? Use the normal distribution table. b. What is the value of a put option?
Find the implied volatility (to 2 decimals, for example, �=8.23% ) of a Put option with a time to expiration of 11 months and a price of $6.13 The stock is currently trading at $47. The riskless rate is 2% per annum, and the strike/exercise price of the option is $50. Hint: compute the Put price using the same formula as in exercise 4 , as a function of the volatility �. Then use Solver to change the volatility cell in order to obtain a price of $6.13 \table[[�1=,-0.0614997,,So =,47],[�2=,,4,�=,50],[,,,�=,2%
Assume that K=61, St =65, t = 0.25 (i.e. time to expiry is 3 months), and the risk-free rate is 0.04. The current price of the put option is p = 4. If the price of the call option is 7.17, describe the arbitrage that would be possible, and calculate the profit that would result.

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