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IBM stock currently sells for 84 dollars per share. Over 8 months the price will either go up by 7.5 percent or down by −3.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. A call option with strike price 83 and maturity of 8 months has a delta of 0.82766. What is the value of this call option?

IBM stock currently sells for 44 dollars per share. The implied volatility equals 45.0 percent. The risk-free rate of interest is 7.0 percent continuously compounded. If you owned 100 shares of IBM stock with strike price 45 and maturity of 5 months, how many call options would you have to buy (sell) to create a delta-neutral hedge? Assume each option controls one share of IBM stock.

Which of the following creates a bull spread?

IBM stock currently sells for 84 dollars per share. The implied volatility equals 47.5 percent. The risk-free rate of interest is 4.5 percent continuously compounded. What is the value of a put option with strike price 83 and maturity of 8 months?

Which of the following creates a bull spread?

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IBM stock currently sells for 92 dollars per share. Over 3 months the price will either go up by 9.5 percent or down by −6.0 percent. The risk-free rate of interest is 3.5 percent continuously compounded. What is the value of a put option with strike price 89 and maturity of 3 months?

IBM stock currently sells for 84 dollars per share. Over 8 months the price will either go up by 7.5 percent or down by −3.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. If you are short one call option with strike price 83 and maturity of 8 months, how many shares of stock must you buy to establish a delta-neutral position?

A trader creates a long butterfly spread from options with strike prices $60, $65, and $70 by trading a total of 4 options. The options are worth $11, $14, and $18. What is the lowest possible profit on the position (remember to subtract the cost of the option portfolio)?

IBM stock currently sells for 44 dollars per share. Over 5 months the price will either go up by 13.5 percent or down by -6.5 percent. The risk-free rate of interest is 7.0 percent continuously compounded. What is the delta of a put option with strike price 45 and maturity of 5 months?