A stock price is currently $40. It is known that at the end of three months it will be either $44 or $36. The risk - free rate of interest with continuous compounding is 8% per annum. Calculate the value of a three-month European call option on the stock with an exercise price of $39. Verify that no - arbitrage arguments and risk - neutral valuation arguments give the same answers.

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter5: Financial Options
Section: Chapter Questions
Problem 4P: Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call...
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A stock price is currently $40. It is known that at the
end of three months it will be either $44 or $36. The
risk - free rate of interest with continuous compounding
is 8% per annum. Calculate the value of a three-month
European call option on the stock with an exercise price
of $39. Verify that no - arbitrage arguments and risk -
neutral valuation arguments give the same answers.
Transcribed Image Text:A stock price is currently $40. It is known that at the end of three months it will be either $44 or $36. The risk - free rate of interest with continuous compounding is 8% per annum. Calculate the value of a three-month European call option on the stock with an exercise price of $39. Verify that no - arbitrage arguments and risk - neutral valuation arguments give the same answers.
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