PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 20, Problem 9PS

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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Suppose you combine two option contracts as follows. You buy a call option on a stock with an exercise price of $65 for a premium of 9$. At the same time you sell a call option on the same stock with an exercise price of $75 for a premium of $4. Both calls expire at the same time. The stock sells currently at $72. Answer the following questions about this investment strategy: 1. Determinethevalueatexpiration(thepayoffs)andtheprofitunderthefollowingoutcomes: a. The price of the stock at expiration is $78b. The price of the stock at expiration is $69c. Thepriceofthestockatexpirationis$62 2. Determine the following:a. The maximum profit b. The maximum loss 3. Determinethebreakevenstockpriceatexpiration(thestockpriceforwhichyourstrategydeliversno profit and no loss). 4. Depictthepayoffandprofitdiagramsofyourinvestmentstrategy.
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.

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PRIN.OF CORPORATE FINANCE

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