(derivatives)
Digital Datawhack stock down by $3, from $50 to $47. "Crunch" Murdoch owns call options on Datawhack, which he bought two months ago for $4 per share. They expire in six months, and have an exercise price of $55. What is the theoretically possible response of the option value (on a per-share basis), to the recent move of the stock?
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Solution
Call option means the buyer has the right to sell and receive payoff if the stock price is above strike price
Here strike price as discussed is $55
Current share price is $47
Hence option value is computed using the formula
=> MAX(Share price - strike price,0)
=> MAX(47-55, 0)
MAX(-8,0)
=> 0
But total payoff is computed by decreasing the call option value at buying price
Hence total response option value
= (0-4)
= -$4
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