PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 20, Problem 20PS
Put–call parity* In April 2017, Facebook’s stock price was about $145. An eight-month call on the stock, with an exercise price of $145, sold for $10.18. The risk-free interest rate was 1% a year. How much would you be willing to pay for a put on Facebook stock with the same maturity and exercise price? Assume that the Facebook options are European options. (Note: Facebook does not pay a dividend.)
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Today is January 12, 2017. The shares of XYZ Inc. are currently selling for $120 per share. The shares have an estimated volatility of 25%. XYZ Inc. is also expected to pay a dividend of $1.50 with an ex-dividend date of January 25, 2017. The risk-free rate is 6.17 percent per year with continuous compounding. Assume that one call option gives the holder the right to purchase one share.
b. This European call option has a market price of $3.00. Is it correctly priced? If not, how can an investor use the put-call parity to take advantage of this arbitrage opportunity?
ConvertiBles In the summer of 2018, the Gallatin Company was planning to finance an expansion with a convertible security. It considered a convertible debenture but feared the burden of fixed interest charges if the common stock price did not rise enough to make conversion attractive. The firm decided on an issue of convertible preferred stock, which would pay a dividend of $1.07 per share.
The common stock was selling for $21 a share at the time. Management projected earn- ings for 2018 at $1.40 a share and expected a future growth rate of 12% per year in 2019 and beyond. The investment bankers and management agreed that the common stock would continue to sell at 15 times earnings, the current price/earnings ratio.
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Give typing answer with explanation and conclusion
What is the lower bound for the price of a 7-month European call option on a non-dividend-paying stock when the stock price is $44.02, the strike price is $39, and the risk-free interest rate is 1.3% per annum? Report your answer in dollars and cents.
Chapter 20 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 20 - Vocabulary Complete the following passage: A _____...Ch. 20 - Option payoffs Note Figure 20.12 below. Match each...Ch. 20 - Option payoffs Look again at Figure 20.12. It...Ch. 20 - Option payoffs What is a call option worth at...Ch. 20 - Option payoffs The buyer of the call and the...Ch. 20 - Option combinations Suppose that you hold a share...Ch. 20 - Option combinations Dr. Livingstone 1. Presume...Ch. 20 - Option combinations Suppose you buy a one-year...Ch. 20 - Option combinations Suppose that Mr. Colleoni...Ch. 20 - Option combinations Option traders often refer to...
Ch. 20 - Prob. 11PSCh. 20 - Option combinations Discuss briefly the risks and...Ch. 20 - Put-call parity A European call and put option...Ch. 20 - Putcall parity a. If you cant sell a share short,...Ch. 20 - Putcall parity The common stock of Triangular File...Ch. 20 - Put-call parity What is put-call parity and why...Ch. 20 - Putcall parity There is another strategy involving...Ch. 20 - Putcall parity It is possible to buy three-month...Ch. 20 - Putcall parity In April 2017, Facebooks stock...Ch. 20 - Option bounds Pintails stock price is currently...Ch. 20 - Option values How does the price of a call option...Ch. 20 - Option values Respond to the following statements....Ch. 20 - Option values FX Bank has succeeded in hiring ace...Ch. 20 - Option values Is it more valuable to own an option...Ch. 20 - Option values Youve just completed a month-long...Ch. 20 - Option values Table 20.4 lists some prices of...Ch. 20 - Option bounds Problem 21 considered an arbitrage...Ch. 20 - Prob. 30PSCh. 20 - Prob. 31PSCh. 20 - Prob. 32PS
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- A European put on Microsoft shares with an exercise price of $50 and maturity of 3 months is trading at $10. The 3-month interest rate, not annualized, is 0.4%. What is the price of Microsoft stock that makes the put break-even?arrow_forwardSolve a,b and c please You wish to create a synthetic equity position. You believe that the price of the stock will decrease over the next year. You have the following securities available to you to create this position. Note that all options are European and Beetroot Inc does not pay dividends. Current Value of Available Securities Beetroot Inc. Equity: $10.00 Call Premium: $ 5.31 Put Premium: $ 0.50 Strike for Call or Put: $14.00 Call and Put Expiration: 1 year Annual Risk-Free Rate (annually compounded): 3% per year a) Confirm that the put-call parity holds in this case. b)Specifically, identify the transactions that you will enter into to create your position? c)At expiration, the value of the equity will have increased or decreased. Show how your synthetic position will have the same payoff as a stock-only portfolio. Show this if Beetroot Inc’s equity if the equity value increases to $100 or decreases to $5.arrow_forwardIn January 2023 Apple shares are priced at $200 a share. You believe that they are considerably overvalued and are worth only $120 a share. June 2023 put options on a strike price of $210 a share is currently valued at $18 per share. Each put contract is based on 100 shares. (i) What is the intrinsic value of the put option per share? Explain your reasoning. (ii) What is the time value of the put option per share? (iii) If we arrive at expiry in June and you are proved correct with Apple shares selling for $120, what is your total net dollar profit (+) or loss (-) on a single put option contract in dollars bearing in mind the put option is based on a contract of 100 shares? (iv) What will be the total cash settlement by the option writer if the Apple share price expires at $120 per share in June 2023? (v) What is your net dollar profit (+) or loss (-) as a holder of the put contract (based on a contract size of 100 shares) if we arrive at expiry in June and you are wrong and Apple…arrow_forward
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