D&R A3 5 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. If there is a one-dollar increase in the stock price, what is the dollar change in portfolio value?

Essentials Of Investments
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D&R A3

5

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.

If there is a one-dollar increase in the stock price, what is the dollar change in portfolio value?

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