A portfolio consists of 1,000 shares of stock and 500 short calls on that stock. The current stock price is $92.20. The call option has a maturity of one year, with an exercise price of $100 and a standard deviation of 25%. The risk-free rate is 5%. The call option price is found by using the Black-Merton-Scholes model. What would be the dollar change in the value of the portfolio be in response to a one-dollar increase in the stock price?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 25P
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A portfolio consists of 1,000 shares of stock and 500 short calls on that stock. The current stock price is $92.20. The call option has a maturity of one year, with an exercise price of $100 and a standard deviation of 25%. The risk-free rate is 5%. The call option price is found by using the Black-Merton-Scholes model. What would be the dollar change in the value of the portfolio be in response to a one-dollar increase in the stock price? 

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