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16
16.A speculator can choose between buying 100 shares of a stock for $40 per share and buying 1000 European call options on the stock with a strike price of $45 for $4 per option. For second alternative to give a better outcome at the option maturity, the stock price must be above
A.$45
B.$46
C.$55
D.$50
A.$45
B.$46
C.$55
D.$50
Answer: D
When the stock price is $50 the first alternative leads to a position in the stock worth 100×50 or $5000. The second alternative leads to a payoff from the options of 1000×(50−45) or $5000. Both alternatives cost $4000. It follows that the alternatives are equally profitable when the stock price is $50. For stock prices above $50 the option alternative is more profitable.
When the stock price is $50 the first alternative leads to a position in the stock worth 100×50 or $5000. The second alternative leads to a payoff from the options of 1000×(50−45) or $5000. Both alternatives cost $4000. It follows that the alternatives are equally profitable when the stock price is $50. For stock prices above $50 the option alternative is more profitable.
sarausa (24.10.2023)
After calculating, the answer is the same as yours. http://mapquestdirections.org
Flashcard info:
Author: CoboCards-User
Main topic: Finance & Investment
Topic: Derivatives
Published: 27.10.2015