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An investor is committed to purchasing 100 shares of World Port Management stock in six months. She is worried the stock price will rise significantly over the next six months. The stock is at $45 and she buys a six-month call with a strike of $50 for $250. At expiration the stock is at $54. What is the net economic gain or loss on the entire stock/option portfolio?

User Hester
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2 Answers

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Final answer:

The investor makes a net economic gain of $150 from the stock/option portfolio after exercising the call option, which has an intrinsic value of $4 per share for 100 shares, minus the initial cost of the option purchase ($250).

Step-by-step explanation:

The investor's situation involves options trading, which is a part of financial markets and investment strategies. To calculate the net economic gain or loss of the investor's stock/option portfolio, we must consider the intrinsic value of the option contract at expiration and the initial cost of buying the option.

The call option allows the investor to buy 100 shares of World Port Management stock at a strike price of $50 when the stock is at $54 at expiration. This means that the option has an intrinsic value of $4 per share ($54 - $50 = $4), which for 100 shares totals to $400. However, the investor initially paid $250 for the option, so this cost must be subtracted from the profits made from exercising the option.

Therefore, the net economic gain is calculated as follows:

Gain from option exercise: 100 shares × ($54 - $50) = $400

Initial cost of option: -$250

Net economic gain: $400 - $250 = $150

In conclusion, the investor would experience a net economic gain of $150 on the entire stock/option portfolio.

User Steve Pettifer
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2 votes

Answer:

The answer is: net economic loss = -$750

Step-by-step explanation:

To determine the economic gain or loss of this investor we can use the following formula:

economic loss = {[(current stock price - future stock price) x number of stocks] + [(future stock price - strike value) x number of stocks]} - cost of call option

economic loss = {[($45 - $54) x 100] + [($54 - $50) x 100]} - $250 =

economic loss = [(-$9 x 100) + ($4 x 100)] - $250 = (-$900 + $400) - $250

economic loss = -$500 - $250 = -$750

User David Fooks
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