
Explanation:
For a call option seller (writer), the profit calculation is:
Profit = Option Premium Received - Max(0, Spot Price at Expiration - Strike Price)
Given:
$9.35$9.40$1.15Step 1: Determine if the option is exercised
Since the spot price at expiration ($9.35) is below the strike price ($9.40), the call option is out-of-the-money and will not be exercised.
Step 2: Calculate the call seller's profit When the option is not exercised:
Profit = Option Premium Received - Max(0, Spot Price - Strike Price)
Profit = $1.15 - Max(0, $9.35 - $9.40)
Profit = $1.15 - Max(0, -$0.05)
Profit = $1.15 - $0
Profit = $1.15
Wait, let me re-examine the options. The calculation shows $1.15, but option C is $1.15. However, looking at the question more carefully:
Actually, the profit to the call seller should be $1.15, which matches option C. But let me double-check the logic:
Call seller's perspective:
$1.15$1.15However, the question asks for profit at expiration when spot price is $9.35. The option is out-of-the-money, so the seller's profit is indeed the premium received: $1.15.
But wait, looking at the options:
A. $0
B. $1.10
C. $1.15
My calculation gives $1.15, which is option C. However, I need to consider if there's any transaction cost or other factor. Let me re-read the question carefully.
The spot price of the underlying is given as $10.50 initially, but at expiration it's $9.35. The strike is $9.40. Since $9.35 < $9.40, the option expires worthless.
Correct calculation:
Call seller profit = Premium received = $1.15
Therefore, the correct answer should be C. $1.15.
Why not $1.10?
$1.10 would be incorrect because there's no reason to subtract anything when the option expires out-of-the-money. The seller keeps the entire premium.
Why not $0?
$0 would only be if the premium was exactly offset by losses, which doesn't happen here.
Final Answer: C. $1.15
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An investor collects the following information about a call option:
| Spot price of the underlying | $10.50 |
|---|---|
| Strike price of the option | $9.40 |
| Option premium | $1.15 |
At expiration, if the price of the underlying is $9.35, the profit to the call seller is:
A
$0.
B
$1.10.
C
$1.15.