Question: Please Show all work and formulas In addition to the five factors discussed in the chapter, dividends also affect the price of an option. The
Please Show all work and formulas
In addition to the five factors discussed in the chapter, dividends also affect the price of an option. The Black-Scholes option pricing model with dividends is: C=S x e-dt N (d) E x e-Rt * N (d2) di = [In(S/E) + (R- d+ 02 / 2) x t] (o VE) d2 = d - 0 X VE All of the variables are the same as the Black-Scholes model without dividends except for the variable d, which is the continuously compounded dividend yield on the stock. A stock is currently priced at $85 per share, the standard deviation of its return is 42 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 $81 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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