A stock is selling today for $42. The stock has an annual volatility of 40 percent, and

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A stock is selling today for $42. The stock has an annual volatility of 40 percent, and the annual risk-free rate is 10 percent. Answer the following questions:

What is a fair price for a six-month European call option with an exercise price of $40?

How much does the current stock price have to increase for the purchaser of the call option to break even in six months?

What is a fair price for a six-month European put option with an exercise price of $40?

How much does the current stock price have to decrease for the purchaser of the put option to break even in six months?

What level of volatility would make the $40 call option sell for $6?

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