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MANG 6020 Financial Risk ManagementSeminar 4
Question 1
Suppose that a European call option to buy a share for $100.00 costs $5.00 and is held until
maturity. Under what circumstances will the holder of the option make a profit? Under what
circumstances will the option be exercised? Draw a diagram illustrating how the profit from a
long position in the option depends on the stock price at maturity of the option.
Solution
Ignoring the time value of money, the holder of the option will make a profit if the stock price at
maturity of the option is greater than $105. This is because the payoff to the holder of the option
is, in these circumstances, greater than the $5 paid for the option. The option will be exercised if
the stock price at maturity is greater than $100. Note that if the stock price is between $100 and
$105 the option is exercised, but the holder of the option takes a loss overall. The profit from a
long position is as shown in Figure below.
Question 2
Suppose that a European put option to sell a share for $60 costs $8 and is held until maturity.
Under what circumstances will the seller of the option (the party with the short position) make a
profit? Under what circumstances will the option be exercised? Draw a diagram illustrating how
the profit from a short position in the option depends on the stock price at maturity of the option.
Solution:
Ignoring the time value of money, the seller of the option will make a profit if the stock price at
maturity is greater than $52.00. This is because the cost to the seller of the option is in these
circumstances less than the price received for the option. The option will be exercised if the
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