Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 20, Problem 18PS

Option combinations Suppose that Mr. Colleoni borrows the present value of $100, buys a six-month put option on stock Y with an exercise price of $150, and sells a six-month put option on Y with an exercise price of $50.

  1. a. Draw a position diagram showing the payoffs when the options expire.
  2. b. Suggest two other combinations of loans, options, and the underlying stock that would give Mr. Colleoni the same payoffs.
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A speculative investor creates a portfolio of options written on the same underlying asset. He chooses to sell a put option with a strike of $100 and sell a call option also with a strike of $100. The two options have the same expiration. a. Sketch the payoff at maturity for a seller of a put option with a strike of $100. Carefully label the axes. b. Sketch the payoff at maturity for a seller of a call option with a strike of $100. Carefully label the axes. c. Sketch the payoff at maturity for the investor who sells both a call option and a put option each with a strike of $100. Carefully label the axes. The put option price is $14, and the price of the call option is $6. d. What is the profit at maturity for the speculative investor if the underlying asset at maturity is worth $100?
A stock price is $30. An investor buys one call option contract on the stock with a strike price of $28 and sells a call option contract on the stock with a strike price of $27. The market prices of the options are $2 and $1.7, respectively. The options have the same maturity date. Describe the investor’s position and the possible gain/loss he will get (taking into account the initial investment). Make a graph of your gain/loss.
Sarah purchases a call of CBA with exercise price $55 and sells a call of CBA with exercise price $50, both call options have the same expiration date.  a. Draw the payoff diagram for her strategy as a function of the stock price at expiration.  b. Draw the profit/loss diagram for this strategy as a function of the stock price at expiration. (hint: which option has a higher premium?).

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Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)

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