Equalize the range of payoffs for the stock and the option


Stewart Enterprises' current stock price is $60 per share. Call options for this stock exist that permit the holder to purchase one share at an exercise price of $45. These options will expire at the end of 1 year, at which time Stewart's stock will be selling at one of two prices, $40 or $70. The risk-free rate is 7%. As an assistant to the firm's treasurer, you have been asked to perform the following tasks to arrive at the value of the firm's call options.

a.Find the range of values for the ending stock price in 1 year.

Find the range of values for the call option at the option's expiration in 1 year.

b.Equalize the range of payoffs for the stock and the option. (Round your answer to two decimal places) The ratio of ending price to ending stock value is

c.Create a riskless hedged investment. (Round your answer to two decimal places) Portfolio value is

d.What is the cost of the stock in the riskless portfolio? (Round your answer to two decimal places)

e.What is the present value of the riskless portfolio? (Round your answer to two decimal places.)

f.From your answers in Parts d and e, what is the value of the firm's call option? (Round your answer to two decimal places.)

 

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Finance Basics: Equalize the range of payoffs for the stock and the option
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