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Problem 20-6 Suppose you think Apple stock is going to appreciate substantially in value in the...

Problem 20-6

Suppose you think Apple stock is going to appreciate substantially in value in the next year. Say the stock’s current price, S0, is $40, and a call option expiring in one year has an exercise price, X, of $40 and is selling at a price, C, of $15. With $15,000 to invest, you are considering three alternatives.

a. Invest all $15,000 in the stock, buying 375 shares.

b. Invest all $15,000 in 1,000 options (10 contracts).

c. Buy 100 options (one contract) for $1,500, and invest the remaining $13,500 in a money market fund paying 6% in interest over 6 months (12% per year).

What is your rate of return for each alternative for the following four stock prices in 6 months? (Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round the "Percentage return of your portfolio (Bills + 100 options)" answers to 2 decimal places.)
    

The total value of your portfolio in six months for each of the following stock prices is:

  Prices of Stock 6 Months from Now

Stock Prices $37 $40 $50 $60
All stocks (375 shares)
All options (1,000 options)
Bills + 100 options

The percentage return of your portfolio in six months for each of the following stock prices is:

Price of Stock 6 Months from Now

Stock Prices $37 $40 $50 $60
All stocks (375 shares) ___% ____% ____% _____%
All options (1,000 options)
Bills + 100 options

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