Ask Question
18 April, 23:38

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?

0
Answers (1)
  1. 19 April, 00:13
    0
    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
Know the Answer?