Question

An investor owns 5,000 shares of IBM stock, $105 per share. He thinks that there is no large rise and possible drop in price. This investor decides to sell 50 December 110 call option at $4, receiving $20,000. Note: Each call option contract provides for the right to buy 100 shares of stock. December 110 call option means that the strike price of the call is 110 and it matures in December.
Required:
1. If IBM stock price rises from $105 to $112, the profit associated with the passive strategy is __________ and the profit associated with the covered call writing strategy is ____________.

Answer 1

Answer:

If IBM stock price rises from $105 to $112, the profit associated with the passive strategy is $ 35,000 and the profit associated with the covered call writing strategy is $ 45,000 .

Explanation:

Shares = 5000

Price of shares = $105

Sell Price = $112

The profit associated with the passive strategy  = $(112 - 105) × 5000

= $ 35,000

Now with covered call also included in the strategy the profit/loss from covered call can be calculated as

Strike Price = $110

Spot Price = $112

Total Shares on which Call options are sold = 50 × 100 = $5000

Total Premium received = 5000 × 4 = $20000

(Spot Price - Strike Price ) × Total Shares

= $(112 - 110) × 5000

= $10,000

Hence Net Profit = Premium received - $10,000 = $20,000 - $10,000

= $ 10000

Hence the profit associated with the covered call writing strategy

= $35,000 + $10,000

= $ 45,000