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In addition to the five factors discussed in the chapter, dividends also affect the price of an option. The BlackScholes option pricing model with dividends

In addition to the five factors discussed in the chapter, dividends also affect the price of an option. The BlackScholes option pricing model with dividends is: C = S edt N(d1) E eRt N(d2) d1 = [ln(S/E) + (R d + 2 / 2) t] / ( t) d2 = d1 t All of the variables are the same as the BlackScholes model without dividends except for the variable d, which is the continuously compounded dividend yield on the stock. A stock is currently priced at $83 per share, the standard deviation of its return is 58 percent per year, and the risk-free rate is 4 percent per year, compounded continuously. What is the price of a call option with a strike price of $79 and a maturity of six months if the stock has a dividend yield of 2 percent per year? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Price of call option $

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