The current price of a stock is $94 & European call options with a strike of $95 currently sell for $4.70. An investor is trying to decide between buying 100 shares of stock and buying 2,000 call options (= 20 option contracts).
A. At what stock price would the investor be indifferent between these 2 trades?
B. At what stock prices would the investor be better off with the option contract purchase?

Answer and Explanation:

The investment in call options may have higher risks which can inturn lead to higher returns especially If the stock price stays at $94.

Hence, an investor who buys call options loses $9,400 while an investor who buys shares will neither gains nor loses anything.

Therfore If the stock price rises to $120, the investor who buys call options gains-

2000* (120 - 95) - 9400 = $40,600

And if the stock price rises to $120, an investor who buys shares gains

100*(120 - 94) = $2600

Which means the strategies are equally profitable if the stock price rises to a level,S, where

100*(S - 94) = 2000*(S - 95) - 9400

S = $100

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