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The current price of a non-dividend-paying stock is $59.64 and you expect the stock price to either go up by a factor of 1.397 or
The current price of a non-dividend-paying stock is $59.64 and you expect the stock price to either go up by a factor of 1.397 or down by a factor of 0.716 over the next 0.7 years.
A European call option on the stock has a strike price of $60 and expires in 0.7 years. The risk-free rate is 8% (annual, continuously compounded).
What is the option payoff if the stock price goes up?
What is the risk-neutral probability of an up movement?
What is the value of the option?
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