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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

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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=SedtN(d1)EeRtN(d2)d1=[ln(S/E)+(Rd+2/2)t](t)d2=d1t 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 The put-call parity condition is altered when dividends are paid. The dividend-adjusted put-call parity formula is: Sedt+P=EeRt+C where d is the continuously compounded dividend yleld A stock is currently priced at $81 per share, the standard deviation of its return is 54 percent per year, and the risk-free rate is 6 percent per year, compounded continuously. What is the orice of a put obtion with a strike price of $77 and a maturitv of six months if The put-call parity condition is altered when dividends are paid. The dividend-adjusted put-call parity formula is: Sedt+P=EeRt+C where d is the continuously compounded dividend yield. A stock is currently priced at $81 per share, the standard deviation of its return is 54 percent per year, and the risk-free rate is 6 percent per year, compounded continuously. What is the price of a put option with a strike price of $77 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.) Answer is complete but not entirely correct

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