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Steve bought 300 shares of stock at a price of $20 per share. The price of the stock then went up to $33 per share so Steve decided to hedge his position by purchasing 3 puts at a cost of $120 each. The puts have an exercise price of 30. One week prior to the expiration of the puts, the price of the stock was at $22 per share. If Steve closed out all of his positions at that time, he would have earned a net profit of

User WJM
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Final answer:

Steve's net profit after hedging his stock position with put options and then closing all positions when the stock price decreased would be $2,640.

Step-by-step explanation:

Calculating Net Profit from Stock and Options Trading:

Steve originally purchased 300 shares of stock at $20 per share. The cost for these shares would be 300 x $20 = $6,000. When the stock price rose to $33, Steve hedged his position by buying 3 put options (which can control 100 shares each) at a cost of $120 each, totaling $360 for the puts. The puts have an exercise price of $30, meaning Steve could sell his stocks at $30 per share if the market price was lower. A week before expiration, the stock was at $22 per share. If Steve exercised his puts, he would be able to sell his shares at $30 instead of $22, thus making $8 more per share minus the cost of the puts. He could sell all 300 shares at this rate, which is 300 x $30 = $9,000. Since he bought the shares at $6,000, his gross profit from the shares would be $9,000 - $6,000 = $3,000.

However, we must account for the cost of the puts. His net profit from the shares after the option cost would be $3,000 (gross profit) - $360 (cost of puts) = $2,640. Therefore, Steve earned a net profit of $2,640 from closing out all of his positions.

User SNO
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2 votes

Answer: $2640

Step-by-step explanation:

The net profit that Steve would have earned would be calculated as:

Profit on shares sale = 300 × (22-20) = 300 × 2 = $600.

Add: Profit on put position = 300 × (30 - 22) = 2400

Less: Premium paid on the put option = 360

Net profit = $600 + $2400 - $360

= $2640

User Himangshuj
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