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Your Aunt Betty has a $120,000 investment portfolio comprising some Government of Canada three-month Treasury Bills and 2,000 Suncor shares. When the portfolio was formed

Your Aunt Betty has a $120,000 investment portfolio comprising some Government of Canada three-month Treasury Bills and 2,000 Suncor shares. When the portfolio was formed (one month ago), the shares were worth $85,700 and the bonds were worth $34,300. Today, Suncor shares are worth $41.94 per share, while the bond yields have decreased so that the bonds are now worth $38,000. The effective yield on the three-month Canada Treasury Bill is 0.94% per annum.

You immediately go online to look for information on options on Suncor shares. You find the following pricing information on the call options (Table 1) and the put options (Table 2) on Suncor, with expiry in one month:

Table 1: Call option prices

Strike

Last

Chg

Bid

Ask

Vol

Open Int

41.50

0.43

0.01

0.42

0.45

98

96

42.00

0.33

+0.13

0.36

0.39

101

38

42.50

0.12

+0.02

0.10

0.16

62

11

43.00

0.05

0.00

0.05

0.08

2

12

Table 2: Put option prices

Strike

Last

Chg

Bid

Ask

Vol

Open Int

40.50

0.10

0.00

0.09

0.10

5

5

41.00

0.06

0.18

0.04

0.06

10

12

41.50

0.13

0.18

0.10

0.13

48

57

42.00

0.39

0.48

0.30

0.39

91

1

42.50

1.22

0.00

1.00

1.25

64

64

  1. Explain to your Aunt Betty the meanings of call and put options, and how options are different from futures and forward contracts.
  2. Looking at all the numbers in the above tables, your Aunt Betty feels very confused. Pick one row from Table 1 (row 2, 3, 4, or 5) and explain what each number across the row means to your Aunt Betty (Strike, Last, Chg, Bid, Ask, Vol, Open Int).
  3. Aunt Betty will be retiring in two years. As a result, she is fairly risk-averse when it comes to her investments. She does not like how the recent economic downturn is affecting her portfolio value. However, she would like to hold on to her Suncor shares unless their price falls below $35 per share. Explain to your aunt how she can use the call options to hedge her portfolio against a further drop in Suncor share price.
  4. Aunt Betty has heard about payoff profiles from the Business News Network (BNN) and would like to learn more about them. Draw the payoff profiles for the following four positions:
    • long position in the 42-call (i.e., the Suncor call option with strike price of $42)
    • short position in the 42-call
    • long (purchased) Suncor stock
    • a hedged position with one long (purchased) Suncor stock and one short position in the 42-call.

Ignore the call premium in your payoff profile plots. Carefully explain to your aunt what these payoff profiles mean. Be clear and concise, as your aunt gets impatient with long, drawn-out explanations when they are unnecessary.

  1. What are the lower and upper bounds of the 42-call option? Does the actual call price fall between these bounds?
  2. Calculate the intrinsic values of the four call options in Table 1. Explain to your Aunt Betty what intrinsic value means in the call option case, and how this value relates to the concepts of in-the-money and out-of-the-money in the case of call options.
  3. Explain to Aunt Betty the relationship between the price of a call and its exercise price. Is this relationship confirmed by your calculations in #6 (above)?
  4. From her own intensive investigations into the operations and financial statement fundamentals of Suncor, Aunt Betty believes that in one month, the share price of Suncor will either decrease further to $40 or will increase to $45. Calculate the value of the 42-call option using the Two-period Binomial Model

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