The Mathematics of Money

(Darren Dugan) #1

288 Chapter 6 Investments


d. What is the minimum level for this index at which you can exercise your options without losing money?


  1. A company whose share price is currently $74.25 grants its CEO options to buy 10,000 shares at $80 per share.
    Suppose you buy 250 shares of this company’s stock at the current market price.


a. If the stock price rises to $100 per share, how much will the CEO make from these options? How much will you
make from your investment?
b. If the stock price drops to $60 per share, how much will the CEO lose? How much will you lose from your
investment?

E. Grab Bag



  1. Reggie went short futures on the GlobalInvestrex 5000 Index. If he had used options instead, would he have bought
    puts or calls?

  2. Caldin bought call options on the GlobalInvestrex 5000 Index. If he had used futures instead, would he have gone long
    or short?

  3. DJ bought eight put options on the stock of AnyCorp. The stock price is currently $51.75 per share. The strike price was
    $50, and the option premium was $4.70.


a. Do these options give DJ the right to buy or sell shares of the company? How many shares does he have the right
to buy/sell?
b. Calculate the total amount DJ paid for these options.
c. Calculate his profi t or loss if the price rises to $60 a share.
d. Calculate his profi t or loss if the price drops to $50 a share.
e. Calculate his profi t or loss if the price drops to $40 a share.


  1. Howard took a position long 5,000 bushels April wheat at $3.22 a bushel. By March, the price of April wheat had risen
    to $3.75 a bushel, and Howard decided to close his position.


a. Did Howard make or lose money on this deal?
b. Is it likely that Howard closed his position because of a margin call?
c. Calculate Howard’s profi t or loss.


  1. Suppose that I bought 10 put options on AnyCorp with a strike price of $40. The option premium was $4.78
    and I exercised by options when the price had fallen to $30. Calculate my return as a percent. If the time for this
    investment was 82 days, calculate my return as a percent rate.

  2. Suppose that you buy call options on Zarofi re Systems for $8.25. The strike price is $45. What is the minimum price at
    which you can exercise without losing money?

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