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An options trader establishes the following positions:

Long 10 ALF Apr 40 calls at 6
Short 10 ALF Apr 50 calls at 2

What is the client's maximum gain and loss per share?

A) Gain unlimited, loss 6.
B) Gain 6, loss 4.
C) Gain 2, loss 6.
D) Gain 4, loss 2.

User Aggaton
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1 Answer

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Final answer:

The options trading strategy involves a combination of buying and selling call options. The maximum loss is the premium paid for the long position minus the premium received for the short position, resulting in a loss of $6 per share, while the maximum gain is the difference between strike prices minus net premiums, leading to a gain of $4 per share.

Step-by-step explanation:

The question pertains to an options trading strategy involving a long call and a short call position. When the trader is long 10 ALF Apr 40 calls at 6, it means the trader paid $6 per share for the right to buy the stock at $40. On the other hand, by being short 10 ALF Apr 50 calls at 2, the trader has collected $2 per share for the obligation to sell the stock at $50 if the option is exercised. To analyze the maximum gain and loss per share, we'll look at the best and worst-case scenarios.

If the stock price at expiration is at or below $40, both options expire worthless. The trader would lose the entire premium paid for the long calls without any offsetting gain from the short calls, resulting in a maximum loss of 6 per share (the $6 premium paid for the long position).

If the stock price at expiration is above $50, both options are exercised. The trader buys the stock at $40 and sells it at $50. The profit from this part of the trade is $10 per share ($50 - $40), but the trader has to subtract the net premiums paid and received ($6 - $2), which results in a maximum gain of 4 per share.

Therefore, the correct answer is D) Gain 4, loss 6. The client's maximum gain per share is $4, and the maximum loss per share is $6.

User OfficeYA
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